Updated on 2025/09/30

写真a

 
ohzeki masayuki
 
Organization
School of Science Professor
Title
Professor
External link

Degree

  • 博士(理学) ( Tokyo Institute of Technology )

Research Interests

  • 量子力学

  • 統計力学、量子力学、機械学習

  • 機械学習

Research Areas

  • Natural Science / Mathematical physics and fundamental theory of condensed matter physics

Professional Memberships

Papers

  • Free energy equivalence between mean-field models and nonsparsely diluted mean-field models

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical   58 ( 4 )   045004 - 045004   2025.1

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    We studied nonsparsely diluted mean-field models that differ from sparsely diluted mean-field models, such as the Viana–Bray model. When the existence probability of each edge follows a Bernoulli distribution, we rigorously prove that the free energy of nonsparsely diluted mean-field models with appropriate parameterization coincides exactly with that of the corresponding mean-field models in ferromagnetic and spin-glass models composed of any discrete spin S in the thermodynamic limit. Our results is a broad generalization of the result of a previous study (Bovier and Gayrard 1993 J. Stat. Phys. 72 643), where the densely diluted mean-field ferromagnetic Ising model (diluted Curie–Weiss model) with appropriate parameterization was analyzed rigorously, and it was proven that its free energy was exactly equivalent to that of the corresponding mean-field model (Curie–Weiss model).

    DOI: 10.1088/1751-8121/adaab4

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    Other Link: https://iopscience.iop.org/article/10.1088/1751-8121/adaab4/pdf

  • Existence of Long-Range Order in Random-Field Ising Model on Dyson Hierarchical Lattice

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Statistical Physics   192 ( 2 )   2025.1

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    Abstract

    We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, $$J(r)\sim r^{-\alpha }$$ , with respect to the distance. Without a random field, the Ising model on the Dyson hierarchical lattice has a long-range order at finite low temperatures when $$1<\alpha <2$$ . In this study, for $$1<\alpha <3/2$$ , we rigorously prove that there is a long-range order in the random-field Ising model on the Dyson hierarchical lattice at finite low temperatures, including zero temperature, when the strength of the random field is sufficiently small but nonzero. Our proof is based on Dyson’s method for the case without a random field, and the concentration inequalities in probability theory enable us to evaluate the effect of a random field.

    DOI: 10.1007/s10955-025-03399-9

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    Other Link: https://link.springer.com/article/10.1007/s10955-025-03399-9/fulltext.html

  • Replica bound for Ising spin glass models in one dimension

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical   58 ( 1 )   015003 - 015003   2024.12

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    The interpolation method is a powerful tool for rigorous analysis of mean-field spin glass models, both with and without dilution. In this study, we show that the interpolation method can be applied to Ising spin glass models in one dimension, such as a one-dimensional chain and a two-leg ladder. In one dimension, the replica symmetric (RS) cavity method is naturally expected to be rigorous for Ising spin glass models. Using the interpolation method, we rigorously prove that the RS cavity method provides lower bounds on the quenched free energies of Ising spin glass models in one dimension at any finite temperature in the thermodynamic limit.

    DOI: 10.1088/1751-8121/ad97fb

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    Other Link: https://iopscience.iop.org/article/10.1088/1751-8121/ad97fb/pdf

  • Toward Mean-Field Bound for Critical Temperature on Nishimori Line

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan   93 ( 10 )   2024.10

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.93.104706

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  • Exact Solution of Free Entropy for Matrix-Valued Geometric Brownian Motion with Non-Commutative Matrices via Replica Method

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan   92 ( 11 )   2023.11

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.92.114001

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  • Gibbs–Bogoliubov Inequality on the Nishimori Line

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan   92 ( 8 )   2023.8

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.92.084002

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  • Mean-field theory is exact for Ising spin glass models with Kac potential in non-additive limit on Nishimori line

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical   56 ( 32 )   325003 - 325003   2023.7

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    Publishing type:Research paper (scientific journal)   Publisher:IOP Publishing  

    Abstract

    Recently, Mori (2011 Phys. Rev. E 84 031128) has conjectured that the free energy of Ising spin glass models with the Kac potential in the non-additive limit, such as the power-law potential in the non-additive regime, is exactly equal to that of the Sherrington–Kirkpatrick model in the thermodynamic limit. In this study, we prove that his conjecture is true on the Nishimori line at any temperature in any dimension. One of the key ingredients of the proof is the use of the Gibbs–Bogoliubov inequality on the Nishimori line. We also consider the case in which the probability distribution of the interaction is symmetric, where his conjecture is true at any temperature in one dimension but is an open problem in the low-temperature regime in two or more dimensions.

    DOI: 10.1088/1751-8121/ace6e4

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    Other Link: https://iopscience.iop.org/article/10.1088/1751-8121/ace6e4/pdf

  • Threshold theorem in isolated quantum dynamics with stochastic control errors Reviewed

    Manaka Okuyama, Kentaro Ohki, Masayuki Ohzeki

    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences   381   20210412   2022.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1098/rsta.2021.0412

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  • A Scalable Emulator for Quantum Fourier Transform Using Multiple-FPGAs With High-Bandwidth-Memory

    Hasitha Muthumala Waidyasooriya, Hiroki Oshiyama, Yuya Kurebayashi, Masanori Hariyama, Masayuki Ohzeki

    IEEE Access   1 - 1   2022

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    Publishing type:Research paper (scientific journal)   Publisher:Institute of Electrical and Electronics Engineers ({IEEE})  

    DOI: 10.1109/ACCESS.2022.3183993

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  • Assessment of image generation by quantum annealer

    Takehito Sato, Masayuki Ohzeki, Kazuyuki Tanaka

    Scientific Reports   11 ( 1 )   2021.12

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    <title>Abstract</title>Quantum annealing was originally proposed as an approach for solving combinatorial optimization problems using quantum effects. D-Wave Systems has released a production model of quantum annealing hardware. However, the inherent noise and various environmental factors in the hardware hamper the determination of optimal solutions. In addition, the freezing effect in regions with weak quantum fluctuations generates outputs approximately following a Gibbs–Boltzmann distribution at an extremely low temperature. Thus, a quantum annealer may also serve as a fast sampler for the Ising spin-glass problem, and several studies have investigated Boltzmann machine learning using a quantum annealer. Previous developments have focused on comparing the performance in the standard distance of the resulting distributions between conventional methods in classical computers and sampling by a quantum annealer. In this study, we focused on the performance of a quantum annealer as a generative model from a different aspect. To evaluate its performance, we prepared a discriminator given by a neural network trained on an a priori dataset. The evaluation results show a higher performance of quantum annealer compared with the classical approach for Boltzmann machine learning in training of the generative model. However the generation of the data suffers from the remanent quantum fluctuation in the quantum annealer. The quality of the generated images from the quantum annealer gets worse than the ideal case of the quantum annealing and the classical Monte-Carlo sampling.

    DOI: 10.1038/s41598-021-92295-9

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    Other Link: http://www.nature.com/articles/s41598-021-92295-9

  • Teacher-Student Learning for a Binary Perceptron with Quantum Fluctuations

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   90 ( 7 )   074002 - 074002   2021.7

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.90.074002

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  • Mean field analysis of reverse annealing for code-division multiple-access multiuser detection

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Physical Review Research   3 ( 3 )   2021.7

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    Publishing type:Research paper (scientific journal)   Publisher:American Physical Society (APS)  

    DOI: 10.1103/physrevresearch.3.033006

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    Other Link: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevResearch.3.033006/fulltext

  • Benchmark Test of Black-box Optimization Using D-Wave Quantum Annealer

    Ami S. Koshikawa, Masayuki Ohzeki, Tadashi Kadowaki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   90 ( 6 )   064001 - 064001   2021.6

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.90.064001

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  • Efficient Quantum and Simulated Annealing of Potts Models Using a Half-hot Constraint

    Shuntaro Okada, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   89 ( 9 )   094801 - 094801   2020.9

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    Publishing type:Research paper (scientific journal)   Publisher:Japan Society of Applied Physics  

    DOI: 10.7566/jpsj.89.094801

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  • Simple relation between frustration and transition points in diluted spin glasses

    Ryoji Miyazaki, Yuta Kudo, Masayuki Ohzeki, Kazuyuki Tanaka

    Physical Review E   102 ( 1 )   2020.7

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    Publishing type:Research paper (scientific journal)   Publisher:American Physical Society (APS)  

    DOI: 10.1103/physreve.102.012135

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    Other Link: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.102.012135/fulltext

  • Inequality for Local Energy of Ising Model with Quenched Randomness and Its Application

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan   89 ( 6 )   064704 - 064704   2020.6

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.89.064704

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  • A note on the reconstruction of a 3D-3C velocity field for box turbulence

    Eiichi Sasaki, Masayuki Ohzeki

    Journal of Physics: Conference Series   1522 ( 1 )   2020.6

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:Institute of Physics Publishing  

    DOI: 10.1088/1742-6596/1522/1/012023

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  • Sparse Modeling in Quantum Many-Body Problems Invited Reviewed

    Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, Kazuyoshi Yoshimi

    Journal of the Physical Society of Japan   89 ( 1 )   012001 - 012001   2020.1

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    Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/jpsj.89.012001

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  • Fair sampling by simulated annealing on quantum annealer

    Masayuki Yamamoto, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   89 ( 2 )   2020

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/JPSJ.89.025002

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  • Improving solutions by embedding larger subproblems in a D-Wave quantum annealer

    Shuntaro Okada, Masayuki Ohzeki, Masayoshi Terabe, Shinichiro Taguchi

    Scientific Reports   9 ( 1 )   2019.12

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Nature Publishing Group  

    DOI: 10.1038/s41598-018-38388-4

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  • Efficient partition of integer optimization problems with one-hot encoding

    Shuntaro Okada, Masayuki Ohzeki, Shinichiro Taguchi

    Scientific Reports   9 ( 1 )   2019.12

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Nature Publishing Group  

    DOI: 10.1038/s41598-019-49539-6

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  • Control of Automated Guided Vehicles Without Collision by Quantum Annealer and Digital Devices Reviewed

    Masayuki Ohzeki, Akira Miki, Masamichi J. Miyama, Masayoshi Terabe

    Frontiers in Computer Science   1   2019.11

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    Publishing type:Research paper (scientific journal)   Publisher:Frontiers Media SA  

    DOI: 10.3389/fcomp.2019.00009

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  • OpenCL-based design of an FPGA accelerator for quantum annealing simulation

    Hasitha Muthumala Waidyasooriya, Masanori Hariyama, Masamichi J. Miyama, Masayuki Ohzeki

    JOURNAL OF SUPERCOMPUTING   75 ( 8 )   5019 - 5039   2019.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11227-019-02778-w

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  • Dynamics of order parameters of nonstoquastic Hamiltonians in the adaptive quantum Monte Carlo method

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Physical Review E   99 ( 3 )   2019.3

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:American Physical Society  

    DOI: 10.1103/PhysRevE.99.032120

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  • Phase diagrams of one-dimensional Ising and XY models with fully connected ferromagnetic and anti-ferromagnetic quantum fluctuations Reviewed

    Shuntaro Okada, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   88 ( 2 )   024802-1 - 024802-6   2019.2

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    We analytically investigated the phase diagrams of one-dimensional Ising and XY models. A second-order phase<br />
    transition occurs in both models only with the transverse magnetic field. In this study, the fully connected ferromagnetic<br />
    and anti-ferromagnetic XX interactions are applied in addition to the transverse magnetic field. The ferromagnetic XX<br />
    interaction causes a first-order phase transition in both of the one-dimensional Ising and XY models. In contrast, by<br />
    applying the anti-ferromagnetic one, the second-order phase transition can be avoided in the one-dimensional Ising<br />
    model, and the critical amplitude becomes smaller in the one-dimensional XY model even though the second-order<br />
    phase transition remains and the critical exponent does not change. Because the anti-ferromagnetic XX interaction works<br />
    to destroy the order of the transverse magnetization, it begins to decrease at a larger strength of the transverse magnetic<br />
    field. As a result, the susceptibility of the transverse magnetization with respect to the strength of the magnetic field<br />
    becomes small. It is conjectured that the anti-ferromagnetic XX interaction is generally preferable to the ferromagnetic<br />
    interaction to improve the performance of quantum annealing.

    DOI: 10.7566/JPSJ.88.024802

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  • Difference between quantum annealing by imaginary-time and real-time Schrödinger equations of Grover’s search Reviewed

    Shuntaro Okada, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   88 ( 2 )   024803-1 - 024803-6   2019.2

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    We confirmed the annealing time required to obtain the desired success probability for quantum annealing by the<br />
    imaginary-time and real-time Schrödinger equations of Grover’s search, with two kinds of schedulings; one linearly<br />
    decreases the quantum fluctuation and the other tunes the evolution rate of the Hamiltonian on the basis of the adiabatic<br />
    condition. With linear scheduling, the required annealing time for quantum annealing by the imaginary-time Schrödinger<br />
    equation is of order ${\rm{log } }(N)$, which is very different from ${\cal{O } }(N)$ required for that by the real-time Schrödinger equation.<br />
    With the scheduling based on the adiabatic condition, the required annealing time is of order<br />
    ${\sqrt{N } }$, which is identical to<br />
    that by the real-time Schrödinger equation. Although the scheduling based on the adiabatic condition is optimal for the<br />
    quantum annealing by the real-time Schrödinger equation, it is inefficient for that by the imaginary-time Schrödinger<br />
    equation. This result implies that the optimal schedulings for the quantum annealing by the imaginary-time and real-time<br />
    Schrödinger equations differ greatly, and the efficient scheduling considered with the quantum Monte Carlo method,<br />
    which is based on the imaginary-time Schrödinger equation, is not necessarily effective in improving the performance of<br />
    quantum annealing by the real-time Schrödinger equation. We discuss the efficient scheduling for quantum annealing by<br />
    the imaginary-time Schrödinger equation with respect to the exponential decay of excited states.

    DOI: 10.7566/JPSJ.88.024803

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  • SpM: Sparse modeling tool for analytic continuation of imaginary-time Green's function Reviewed

    Yoshimi K, Otsuki J, Motoyama Y, Ohzeki M, Shinaoka H

    Computer Physics Communications   244   319 - 323   2019

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cpc.2019.07.001

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    Other Link: http://orcid.org/0000-0002-7058-8765

  • Optimization of neural networks via finite-value quantum fluctuations

    Masayuki Ohzeki, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi

    Scientific Reports   8 ( 1 )   2018.12

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Nature Publishing Group  

    DOI: 10.1038/s41598-018-28212-4

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  • Quantum annealing: next-generation computation and how to implement it when information is missing Reviewed

    Masayuki Ohzeki, Chako Takahashi, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi, Kazuyuki Tanaka

    IEICE, Nonlinear Theory and Its Applications   9 ( 4 )   392 - 405   2018.10

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    Recently, several powerful machines dedicated to solving combinatorial optimization problems through the Ising-model formulation have appeared. The trigger for the paradigm shift to a specialized machine for solving optimization problems was the D-Wave machine, which implements quantum annealing. Quantum annealing employs quantum fluctuations to find an optimal solution to an optimization problem with discrete variables. In particular, we input the optimization problem in the form of the Ising Hamiltonian, which is a specialized form of the quadratic unconstrained binary optimization problem. However, when we employ quantum annealing for a practical optimization problem, there are several issues. One typical issue is absence of the detailed form of the cost function, which characterizes the optimization problem. To input problems into specialized machines for solving an optimization problem, it is necessary to determine the unknown parameters within the Ising model. We propose a method to estimate the unknown parameters in the Ising Hamiltonian using compressed sensing. Furthermore, we analyze the theoretical limitations of our proposed method by employing the replica method, which is a sophisticated tool in statistical mechanics.

    DOI: 10.1587/nolta.9.392

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  • Momentum-space renormalization group transformation in Bayesian image modeling by Gaussian graphical model Reviewed

    Kazuyuki Tanaka, Masamichi Nakamura, Shun Kataoka, Masayuki Ohzeki, Muneki Yasuda

    Journal of the Physical Society of Japan   87 ( 8 )   085001-1 - 085001-2   2018.8

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    A new Bayesian modeling method is proposed by combining the maximization of the marginal likelihood with a momentum-space renormalization group transformation for Gaussian graphical models. Moreover, we present a scheme for computing the statistical averages of hyperparameters and mean square errors in our proposed method based on a momentum-space renormalization group transformation.

    DOI: 10.7566/JPSJ.87.085001

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  • 量子アニーリングによる組合せ最適化 Reviewed

    大関 真之

    オペレーションズ・リサーチ   Vol.63   1 - 9   2018.6

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    Language:Japanese  

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  • Overcomplete compact representation of two-particle Green's functions Reviewed

    Hiroshi Shinaoka, Junya Otsuki, Kristjan Haule, Markus Wallerberger, Emanuel Gull, Kazuyoshi Yoshimi, Masayuki Ohzeki

    Physical Review B   97 ( 20 )   1 - 14   2018.5

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:American Physical Society  

    DOI: 10.1103/PhysRevB.97.205111

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  • Quantum Speed Limit is Not Quantum Reviewed

    Manaka Okuyama, Masayuki Ohzeki

    Physical Review Letters   120 ( 7 )   1 - 5   2018.2

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:American Physical Society  

    DOI: 10.1103/PhysRevLett.120.070402

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  • An Extension of Estimation of Critical Points in Ground State for Random Spin Systems Reviewed

    Masayuki Ohzeki, Yuta Kudo, Kazuyuki Tanaka

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   87 ( 1 )   015001 - 015001   2018.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.7566/JPSJ.87.015001

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  • Deep neural network detects quantum phase transition Reviewed

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   87 ( 3 )   033001 - 033001   2018

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/JPSJ.87.033001

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  • Statistical-mechanical analysis of compressed sensing for hamiltonian estimation of ising spin glass Reviewed

    Chako Takahashi, Masayuki Ohzeki, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi, Kazuyuki Tanaka

    Journal of the Physical Society of Japan   87 ( 7 )   074001-1 - 074001-7   2018

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Physical Society of Japan  

    DOI: 10.7566/JPSJ.87.074001

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  • Machine learningの医学研究領域への利用 現代の魔法は本物か? ディープラーニング入門 Reviewed

    大関 真之

    INNERVISION   ( 9月号 )   50 - 53   2017.8

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  • Compressing Green's function using intermediate representation between imaginary- ime and real-frequency domains Reviewed

    Hiroshi Shinaoka, Junya Otsuki, Masayuki Ohzeki, Kazuyoshi Yoshimi

    PHYSICAL REVIEW B   96 ( 3 )   035147 - 8   2017.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevB.96.035147

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  • Sparse modeling approach to analytical continuation of imaginary-time quantum Monte Carlo data Reviewed

    Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, Kazuyoshi Yoshimi

    PHYSICAL REVIEW E   95 ( 6 )   1 - 6   2017.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevE.95.061302

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  • Statistical Mechanical Models of Integer Factorization Problem Reviewed

    Chihiro H. Nakajima, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   86 ( 1 )   014001 - 014001   2017.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.7566/JPSJ.86.014001

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  • Quantum Monte Carlo simulation of a particular class of non-stoquastic Hamiltonians in quantum annealing Reviewed

    Masayuki Ohzeki

    SCIENTIFIC REPORTS   7   41186 - 41186   2017.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1038/srep41186

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  • Acceleration of relaxation for XY-machines using violation of detailed balance condition

    Ichiki Akihisa, Ohzeki Masayuki, Ohki Kentaro

    Meeting Abstracts of the Physical Society of Japan   71   499 - 499   2016

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    Language:Japanese   Publisher:The Physical Society of Japan  

    DOI: 10.11316/jpsgaiyo.71.2.0_499

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  • Optimization problem in machine learning and possible application of quantum annealing

    Ohzeki Masayuki

    Meeting Abstracts of the Physical Society of Japan   71   1197 - 1198   2016

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    Language:Japanese   Publisher:The Physical Society of Japan  

    DOI: 10.11316/jpsgaiyo.71.2.0_1197

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  • Stochastic gradient method with accelerated stochastic dynamics Reviewed

    Masayuki Ohzeki

    INTERNATIONAL MEETING ON HIGH-DIMENSIONAL DATA-DRIVEN SCIENCE (HD3-2015)   699   2016

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    Language:English   Publishing type:Research paper (international conference proceedings)  

    DOI: 10.1088/1742-6596/699/1/012019

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  • Full-order fluctuation-dissipation relation for a class of nonequilibrium steady states Reviewed

    Akihisa Ichiki, Masayuki Ohzeki

    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics   91 ( 6 )   2015.6

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:American Physical Society  

    DOI: 10.1103/PhysRevE.91.062105

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  • Inverse Renormalization Group Transformation in Bayesian Image Segmentations Reviewed

    Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   84 ( 4 )   2015.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.7566/JPSJ.84.045001

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    Other Link: http://dblp.uni-trier.de/db/journals/corr/corr1501.html#journals/corr/TanakaKYO15

  • 17pPSA-48 A convergence rate analysis of the continuous time replica exchange

    Ohki K., Ohzeki M.

    Meeting Abstracts of the Physical Society of Japan   70   2700 - 2700   2015

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    Language:Japanese   Publisher:The Physical Society of Japan (JPS)  

    DOI: 10.11316/jpsgaiyo.70.2.0_2700

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  • Mathematical understanding of detailed balance condition violation and its application to Langevin dynamics Reviewed

    Masayuki Ohzeki

    STATPHYS-KOLKATA VIII   638   2015

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    DOI: 10.1088/1742-6596/638/1/012003

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  • L1-regularized Boltzmann machine learning using majorizer minimization. Reviewed

    Masayuki Ohzeki

    CoRR   abs/1503.03132   2015

  • Statistical-mechanical analysis of pre-training and fine tuning in deep learning. Reviewed

    Masayuki Ohzeki

    CoRR   abs/1501.04413   2015

  • Detection of cheating by decimation algorithm. Reviewed

    Shogo Yamanaka, Masayuki Ohzeki, Aurelien Decelle

    CoRR   abs/1410.3596   2014

  • Violation of detailed balance accelerates relaxation Reviewed

    Akihisa Ichiki, Masayuki Ohzeki

    PHYSICAL REVIEW E   88 ( 2 )   2013.8

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    DOI: 10.1103/PhysRevE.88.020101

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  • Nonequilibrium work relation in a macroscopic system Reviewed

    Yuki Sughiyama, Masayuki Ohzeki

    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT   2013 ( 4 )   2013.4

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    DOI: 10.1088/1742-5468/2013/04/P04012

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  • Measurement-based quantum computation on symmetry breaking thermal states Reviewed

    Keisuke Fujii, Yoshifumi Nakata, Masayuki Ohzeki, Mio Murao

    Physical Review Letters   110 ( 12 )   2013.3

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    DOI: 10.1103/PhysRevLett.110.120502

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  • Duality with real-space renormalization and its application to bond percolation Reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E   87 ( 1 )   2013.1

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    DOI: 10.1103/PhysRevE.87.012137

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  • Fluctuation theorems on the Nishimori line Reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E   86 ( 6 )   2012.12

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    DOI: 10.1103/PhysRevE.86.061110

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  • Duality analysis on random planar lattices Reviewed

    Masayuki Ohzeki, Keisuke Fujii

    PHYSICAL REVIEW E   86 ( 5 )   2012.11

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    DOI: 10.1103/PhysRevE.86.051121

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  • Error threshold estimations in surface code with loss of qubits Reviewed

    Masayuki Ohzeki

    Phys. Rev. A 85, 060301(R) (2012).   2012.6

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    DOI: 10.1103/PhysRevA.85.060301

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  • Error threshold estimates for surface code with loss of qubits Reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW A   85 ( 6 )   2012.6

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    DOI: 10.1103/PhysRevA.85.060301

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  • Strong Resilience of Topological Codes to Depolarization Reviewed

    H. Bombin, Ruben S. Andrist, Masayuki Ohzeki, Helmut G. Katzgraber, M. A. Martin-Delgado

    PHYSICAL REVIEW X   2 ( 2 )   2012.4

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    DOI: 10.1103/PhysRevX.2.021004

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  • Nonequilibrium Work on Spin Glasses in Longitudinal and Transverse Fields Reviewed

    Masayuki Ohzeki, Hitoshi Katsuda, Hidetoshi Nishimori

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   80 ( 8 )   2011.8

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    DOI: 10.1143/JPSJ.80.084002

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  • Quantum Annealing: An Introduction and New Developments Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE   8 ( 6 )   963 - 971   2011.6

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    DOI: 10.1166/jctn.2011.1776

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  • Jarzynski Equality for an Energy-Controlled System Reviewed

    Hitoshi Katsuda, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   80 ( 4 )   2011.4

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    DOI: 10.1143/JPSJ.80.045003

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  • Universality in phase boundary slopes for spin glasses on self-dual lattices Reviewed

    Masayuki Ohzeki, Creighton K. Thomas, Helmut G. Katzgraber, H. Bombin, M. A. Martin-Delgado

    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT   2011.2

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    DOI: 10.1088/1742-5468/2011/02/P02004

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  • Extended Jarzynski equality in general Langevin system Reviewed

    Yuki Sughiyama, Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES   43 ( 3 )   790 - 793   2011.1

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    DOI: 10.1016/j.physe.2010.07.053

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  • Quantum annealing with Jarzynski equality Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    COMPUTER PHYSICS COMMUNICATIONS   182 ( 1 )   257 - 259   2011.1

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    DOI: 10.1016/j.cpc.2010.07.008

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  • Zero-temperature complex replica zeros of the +/- J Ising spin glass on mean-field systems and beyond Reviewed

    Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori, Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES   43 ( 3 )   786 - 789   2011.1

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    DOI: 10.1016/j.physe.2010.07.052

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  • Nonequilibrium relations in spin glasses Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES   43 ( 3 )   782 - 785   2011.1

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    DOI: 10.1016/j.physe.2010.07.051

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  • Jarzynski Equality for an Energy-Controlled System Reviewed

    Hitoshi Katsuda, Masayuki Ohzeki

    INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11)   302 ( 4 )   45003 - 045003-2   2011

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    DOI: 10.1088/1742-6596/302/1/012048

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  • Nonequilibrium Relations for Spin Glasses with Gauge Symmetry Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   79 ( 8 )   2010.8

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    DOI: 10.1143/JPSJ.79.084003

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  • Multicritical point of spin glasses Reviewed

    Hidetoshi Nishimori, Masayuki Ohzeki

    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS   389 ( 15 )   2907 - 2910   2010.8

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    DOI: 10.1016/j.physa.2010.01.025

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  • Quantum Annealing with the Jarzynski Equality Reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW LETTERS   105 ( 5 )   2010.7

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    DOI: 10.1103/PhysRevLett.105.050401

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  • Analytical evidence for the absence of spin glass transition on self-dual lattices Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   42 ( 33 )   2009.8

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    DOI: 10.1088/1751-8113/42/33/332001

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  • Accuracy thresholds of topological color codes on the hexagonal and square-octagonal lattices Reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E   80 ( 1 )   2009.7

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    DOI: 10.1103/PhysRevE.80.011141

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  • Locations of multicritical points for spin glasses on regular lattices Reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E   79 ( 2 )   2009.2

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    DOI: 10.1103/PhysRevE.79.021129

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  • Multicritical points for spin-glass models on hierarchical lattices Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori, A. Nihat Berker

    PHYSICAL REVIEW E   77 ( 6 )   2008.6

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    DOI: 10.1103/PhysRevE.77.061116

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  • Multicritical points of the Potts spin glasses on the triangular lattice Reviewed

    Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES   40 ( 2 )   394 - 397   2007.12

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    DOI: 10.1016/j.physe.2007.06.040

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  • Multicritical points of Potts spin glasses on the triangular lattice Reviewed

    Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   76 ( 11 )   2007.11

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    DOI: 10.1143/JPSJ.76.114003

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  • Internal energy of the Potts model on the triangular lattice with two- and three-body interactions Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   75 ( 11 )   2006.11

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    DOI: 10.1143/JPSJ.75.114003

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  • Location of the multicritical point for the Ising spin glass on the triangular and hexagonal lattices Reviewed

    H Nishimori, M Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   75 ( 3 )   2006.3

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    DOI: 10.1143/JPSJ.75.034004

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Books

  • 量子アニーリングの基礎

    西森 秀稔, 大関 真之( Role: Joint author)

    共立出版  2018.5  ( ISBN:9784320035386

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  • ベイズ推定入門 -モデル選択からベイズ的最適化まで-

    大関 真之( Role: Sole author)

    オーム社  2018.2  ( ISBN:9784274221392

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    Total pages:192   Language:Japanese  

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  • 先生、それって「量子」の仕業ですか?

    大関 真之( Role: Sole author)

    小学館  2017.1  ( ISBN:9784093885157

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    Total pages:208   Language:Japanese  

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  • 量子コンピュータが人工知能を加速する

    西森秀稔, 大関真之( Role: Joint author)

    日経BP  2016.12  ( ISBN:9784822251895

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  • 機械学習入門 ボルツマン機械学習から深層学習まで

    大関真之( Role: Sole author)

    オーム社  2016.11  ( ISBN:9784274219986

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  • Lectures on Quantum Computing, Thermodynamics and Statistical Physics

    Edited by Mikio, Nakahara and, Shu Tanaka

    World Scientific  2012.12 

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  • Simulated Annealing - Advances, Applications and Hybridizations

    Edited by, Marcos de, Sales Guerra Tsuzuki

    InTech  2012.8 

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MISC

  • Comment on 'Energy-time uncertainty relation for driven quantum systems'

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical   51 ( 31 )   2018.6

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    Language:English   Publishing type:Book review, literature introduction, etc.   Publisher:Institute of Physics Publishing  

    DOI: 10.1088/1751-8121/aacb90

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  • International Meeting on "high-Dimensional Data-Driven Science" (HD3-2017)

    Masayuki Ohzeki, Teppei Ikeya, Tatsu Kuwatani, Yoshinori Nakanishi-Ohno, Masamichi J. Miyama, Tomoyuki Obuchi

    Journal of Physics: Conference Series   1036   2018.6

  • 最大エントロピー法でいいの?―スパースモデリングの量子多体論への応用―

    大槻純也, 大関真之, 品岡寛, 吉見 一慶

    固体物理   53 ( 4 )   173 - 188   2018.4

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  • ニューラルネットワークによる様々な相転移の検出

    荒井俊太, 大関真之, 片岡駿, 田中和之

    日本物理学会講演概要集(CD-ROM)   72 ( 2 )   2017

  • New frontier of machine learning and computation initiated by quantum annealing

    116 ( 381 )   15 - 22   2016.12

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  • Full-order fluctuation-dissipation relation for a class of nonequilibrium steady states

    Akihisa Ichiki, Masayuki Ohzeki

    PHYSICAL REVIEW E   91 ( 6 )   2015.6

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    DOI: 10.1103/PhysRevE.91.062105

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  • New Horizon of Quantum Annealing

    大関 真之

    システム制御情報学会研究発表講演会講演論文集   59   4p   2015.5

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  • L-1-Regularized Boltzmann Machine Learning Using Majorizer Minimization

    Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   84 ( 5 )   2015.5

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    DOI: 10.7566/JPSJ.84.054801

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  • Inverse Renormalization Group Transformation in Bayesian Image Segmentations

    Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   84 ( 4 )   2015.4

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    DOI: 10.7566/JPSJ.84.045001

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  • Detection of cheating in Boltzmann machine learning : A parameter-free algorithm to sparse solution

    大関 真之

    電子情報通信学会技術研究報告 = IEICE technical report : 信学技報   114 ( 502 )   1 - 8   2015.3

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    We generalize a mathematical model in the item response theory into that in the Boltzmann machine learning to detect "cheating students". The cheating students are hopefully expected to be rare under normal condition holding tests. (We strongly hope!) In other words, the cheating students are expected to be sparse. In the present study, we employ a greedy algorithm, the decimation algorithm, which is free from the arbitrary coefficient. We confirmed that, when the sparseness is strong, the decimation algorithm outperforms the L1 regularization and establish a basic technique to detect the cheating students.

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  • Statistical-Mechanical Analysis of Pre-training and Fine Tuning in Deep Learning

    Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   84 ( 3 )   2015.3

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    DOI: 10.7566/JPSJ.84.034003

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  • High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials

    Masayuki Ohzeki, Jesper Lykke Jacobsen

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   48 ( 9 )   2015.3

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    DOI: 10.1088/1751-8113/48/9/095001

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  • Detection of Cheating by Decimation Algorithm

    Shogo Yamanaka, Masayuki Ohzeki, Aurelien Decelle

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   84 ( 2 )   2015.2

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    DOI: 10.7566/JPSJ.84.024801

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  • Hysteretic transition of coarse-grained power grid model on small-world network

    Eiichi Sasaki, Masayuki Ohzeki, Yoshito Ohta

    2015.1

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    We study synchronous phenomena of a coarse-grained power grid model, the<br />
    swing equation, on small-world networks. We show that its steady state, which<br />
    stands for the normal operation of the power systems, can be realized even if<br />
    the phases are disordered. In addition, we prove the linear stability of steady<br />
    state with small-different phases between the adjacent oscillators. On the<br />
    other hand, a trigger of instantaneous power failure, which is described by the<br />
    hysteretic transition, might disappear on an appropriate small-world network.<br />
    This result suggests that the small-world connection would potentially prevent<br />
    the massive blackouts.

    arXiv

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  • 7pAR-3 Reconstruction of the 3D structure of gold nano clusters using sparsity

    Nakajima C., Ohzeki M., Liu Pan, Hirata A., Nakamura T.

    Meeting abstracts of the Physical Society of Japan   69 ( 2 )   123 - 123   2014.8

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  • 29pBD-7 Detailed Balance Violation and Formal Expression of Linear Response Functions

    Ichiki Akihisa, Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan   69 ( 1 )   355 - 355   2014.3

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  • 29pAR-14 Synchronization of the Swing equation on a Watts and Strogatz network

    Sasaki Eiichi, Ohzeki Masayuki, Ohta Yoshito

    Meeting abstracts of the Physical Society of Japan   69 ( 1 )   353 - 353   2014.3

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  • Your Root in the Ground to the Future(La Toccata)

    Ohzeki Masayuki

    日本物理學會誌   68 ( 9 )   630 - 631   2013.9

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  • Relation between Violation of Detailed Balance and Relaxation Speed

    Ichiki Akihisa, Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan   68 ( 2 )   294 - 294   2013.8

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  • Variational Principle in Langevin Processes

    Yuki Sughiyama, Masayuki Ohzeki

    Interdisciplinary information sciences   19   93 - 99   2013.7

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    The recent work, Nemoto and Sasa [Phys. Rev. E, 83: 030105(R) (2011)], has<br />
    shown that large deviations of the current characterizing a nonequilibrium<br />
    system are obtained by observing the typical current for a modified system<br />
    specified by a variational principle. In the present study, we will give a<br />
    generalized version of the Nemoto-Sasa study by extracting a hidden<br />
    mathematical structure from the fluctuation-response relation which is<br />
    well-known in statistical mechanics. Here, the minimization of the<br />
    Kullback-Leibler divergence plays an essential role.

    DOI: 10.4036/iis.2013.93

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  • Langevin dynamics neglecting detailed balance condition

    Masayuki Ohzeki, Akihisa Ichiki

    2013.7

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    An improved method for driving a system into a desired distribution, for<br />
    example, the Gibbs-Boltzmann distribution, is proposed, which makes use of an<br />
    artificial relaxation process. The standard techniques for achieving the<br />
    Gibbs-Boltzmann distribution involve numerical simulations under the detailed<br />
    balance condition. In contrast, in the present study we formulate the Langevin<br />
    dynamics, for which the corresponding Fokker-Planck operator includes an<br />
    asymmetric component violating the detailed balance condition. This leads to<br />
    shifts in the eigenvalues and results in the acceleration of the relaxation<br />
    toward the steady state. The numerical implementation demonstrates faster<br />
    convergence and shorter correlation time, and the technique of biased event<br />
    sampling, Nemoto-Sasa theory, further highlights the efficacy of our method.

    arXiv

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  • A challenge for critical point of spin glass in ground state

    Masayuki Ohzeki

    Interdisciplinary information sciences   19   65 - 71   2013.5

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    We show several calculations to identify the critical point in the ground<br />
    state in random spin systems including spin glasses on the basis of the duality<br />
    analysis. The duality analysis is a profound method to obtain the precise<br />
    location of the critical point in finite temperature even for spin glasses. We<br />
    propose a single equality for identifying the critical point in the ground<br />
    state from several speculations. The equality can indeed give the exact<br />
    location of the critical points for the bond-dilution Ising model on several<br />
    lattices and provides insight on further analysis on the ground state in spin<br />
    glasses.

    DOI: 10.4036/iis.2013.65

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  • Belief propagation with multipoint correlations and its application to inverse problem Reviewed

    Masayuki Ohzeki

    ELC INTERNATIONAL MEETING ON INFERENCE, COMPUTATION, AND SPIN GLASSES (ICSG2013)   473 ( 1 )   2013

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    DOI: 10.1088/1742-6596/473/1/012005

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  • 19aAC-5 Phase boundary of spin glass on random planar lattice

    Ohzeki Masayuki, Fujii Keisuke

    Meeting abstracts of the Physical Society of Japan   67 ( 2 )   242 - 242   2012.8

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  • Spin Glass: A Bridge between quantum computation and statistical mechanics

    Masayuki Ohzeki

    2012.4

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    We show two fascinating topics lying between quantum information processing<br />
    and statistical mechanics. First, we introduce an elaborated technique, the<br />
    surface code, to prepare the particular quantum state with robustness against<br />
    decoherence. Second, we show another interesting technique to employ quantum<br />
    nature, quantum annealing. Through both of the topics, we would shed light on<br />
    the birth of the interdisciplinary field between quantum mechanics and<br />
    statistical mechanics.

    arXiv

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  • 25aBD-2 Theory of Spin glass

    Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan   67 ( 1 )   314 - 314   2012.3

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  • Quantum Annealing

    OHZEKI Masayuki, NISHIMORI Hidetoshi

    Butsuri   66 ( 4 )   252 - 258   2011.4

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    Quantum annealing is a generic algorithm intended for solving optimization problems by using quantum fluctuations. This algorithm can be regarded as a generic technique in quantum computation. Quantum annealing is very simple and yet applicable in principle to any optimization problems. It is also closely related to quantum adiabatic algorithm. In this article, we elucidate the current status and present a future outlook for quantum annealing.

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  • 25aTE-5 Nonequilibrium relations for spin glasses in magnetic fields

    Katsuda Hitoshi, Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   66 ( 1 )   282 - 282   2011.3

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  • 25aTE-4 Population annealing based on a non-equilibrium relation

    Hukushima K., Ohzeki M.

    Meeting abstracts of the Physical Society of Japan   66 ( 1 )   281 - 281   2011.3

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  • 28aTD-7 Critical Phenomena in random-field Ising model and high dimensional interference channel

    Ohzeki Masayuki, Tanaka Toshiyuki

    Meeting abstracts of the Physical Society of Japan   66 ( 1 )   342 - 342   2011.3

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  • Nonequilibrium relations in spin glasses Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES   43 ( 3 )   782 - 785   2011.1

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  • Quantum annealing with Jarzynski equality Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    COMPUTER PHYSICS COMMUNICATIONS   182 ( 1 )   257 - 259   2011.1

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  • Zero-temperature complex replica zeros of the +/- J Ising spin glass on mean-field systems and beyond Reviewed

    Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori, Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES   43 ( 3 )   786 - 789   2011.1

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  • Jarzynski Equality for an Energy-Controlled System Reviewed

    Hitoshi Katsuda, Masayuki Ohzeki

    INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11)   302 ( 1 )   2011

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  • Nonequilibrium work performed in quantum annealing Reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11)   302 ( 1 )   2011

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  • 23pTH-4 Real space renormalization analysis of transverse field Blume-Emery-Griffiths model

    Osanai Atsuki, Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   65 ( 2 )   224 - 224   2010.8

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  • 25pTD-4 Phase transition in magnetic recording read-out

    Ohzeki Masayuki, Tanaka Toshiyuki

    Meeting abstracts of the Physical Society of Japan   65 ( 2 )   281 - 281   2010.8

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  • 23pTH-3 Jarzynski equality for spin glasses with gauge symmetry

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   65 ( 2 )   224 - 224   2010.8

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  • 23aEH-1 Relevance of quenched randomness from duality analysis

    Ohzeki Masayuki, Katzgraber Helmut G., Bombin Hector, Martin Delgado Miguel Angel

    Meeting abstracts of the Physical Society of Japan   65 ( 1 )   345 - 345   2010.3

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  • Extending Jarzynski Equality to General Langevin System Reviewed

    Yuki Sughiyama, Masayuki Ohzeki

    2010

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    DOI: 10.1016/j.physe.2010.07.053

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  • 27aQF-1 Analytical evidence for the absence of spin glass transition on self-dual lattices

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   64 ( 2 )   202 - 202   2009.8

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  • 27aTJ-12 Bond dilution in 2D q state Potts model

    Komura Yukihiro, Okabe Yutaka, Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan   64 ( 1 )   265 - 265   2009.3

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  • 20aVC-11 Duality Analysis for Precise Locations of Critical Points in Random Spin Systems

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   63 ( 2 )   198 - 198   2008.8

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  • 26pWF-9 A precise derivation for the location of the multicritical point on the hierarchical lattice

    Ohzeki Masayuki, Nishimori Hidetoshi, Berker A.Nihat

    Meeting abstracts of the Physical Society of Japan   63 ( 1 )   345 - 345   2008.2

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  • 22aTJ-3 Multicritical points for the hierarchical lattices

    Ohzeki Masayuki, Nishimori Hidetoshi, Berker A. N.

    Meeting abstracts of the Physical Society of Japan   62 ( 2 )   274 - 274   2007.8

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  • 18pWA-3 Multicritical points of the q=2 state Potts spin glass with, two- and three-body interactions

    Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan   62 ( 1 )   242 - 242   2007.2

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  • 23aXD-3 Multicritical point of the Potts Spin glass with three-body interactions

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   61 ( 2 )   169 - 169   2006.8

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  • 27pRD-3 Multicritical point of the ±J Ising model on the triangular lattice

    Nishimori H., Ohzeki M.

    Meeting abstracts of the Physical Society of Japan   61 ( 1 )   261 - 261   2006.3

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  • 21aXE-5 The Exact solution for the energy of the Potts model with two- and three- site interactions

    Oseki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan   60 ( 2 )   179 - 179   2005.8

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Presentations

  • スパースモデリングを活用した量子モンテカルロデータの 解析接続〜オープンソースソフトウェア紹介および利用事例の紹介

    吉見 一慶, 大槻 純也, 大関 真之, 品岡 寛

    日本物理学会2017年秋季大会  2017.9 

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    Language:Japanese  

    Venue:岩手大学 上田キャンパス 岩手県盛岡市  

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  • 圧縮センシングによるイジング相互作用の推定

    高橋 茶子, 岡田 俊太郎, 寺部 雅能, 田口 慎一郎, 大関 真之, 田中 和之

    2017.9 

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    Language:Japanese  

    Venue:岩手大学 上田キャンパス 岩手県盛岡市  

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  • Sparse modeling - revolution on various measurements - International conference

    OHZEKI Masayuki

    2017 Bilateral Workshop between Tohoku University and National Tsing Hua University  2017.10 

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    Venue:台湾国立清華大学  

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  • 量子アニーリングの高速化に向けた断熱定理の再考

    岡田俊太郎, 田中宗, 大関真之, 寺部雅能, 田口慎一郎

    日本物理学会2017年秋季大会  2017.9 

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    Language:Japanese  

    Venue:岩手大学 上田キャンパス 岩手県盛岡市  

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  • Machine Learning: Introduction and Applications to Monitoring Invited International conference

    OHZEKI Masayuki

    2017 Asia-Pacific-Euro Summer School on Smart Structures Technology(APESS)  2017.7 

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    Venue:YOKOHAMA National University Kanagawa, Japan  

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  • Sparse modeling: a revolution on various measurements Invited International conference

    OHZEKI Masayuki

    Data Science Summer School  2017.7 

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    Venue:Universität Göttingen Göttingen, Germany  

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  • Sparse modeling for quantum Monte-Carlo simulation Invited International conference

    OHZEKI Masayuki

    International Meeting on “High-Dimensional Data-Driven Science” (HD3-2017)  2017.9 

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  • Quantum Annealing - a new paradigm for machine learning and computation Invited International conference

    OHZEKI Masayuki

    7th Summer School on Semiconductor/Superconducting Quantum Coherence Effect and Quantum Information  2017.8 

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    Venue:Hotel LAFORET SHUZENJI Shizuoka, Japan  

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  • エネルギーの観点から見た詳細つりあいを破る マルコフ連鎖モンテカルロ法

    一木 輝久, 大関 真之

    2017.9 

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    Venue:岩手大学 上田キャンパス 岩手県盛岡市  

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  • Simulated annealingを用いた低ランク行列補完

    三上 譲治, 関 優也, 片岡 駿, 大関 真之, 田中 和之

    日本物理学会2017年秋季大会  2017.9 

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    Venue:岩手大学 上田キャンパス 岩手県盛岡市  

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  • Steady-state distributions of network of degenerate optical parametric oscillators International conference

    Miyazaki Ryoji, OHZEKI Masayuki

    Quantum Machine Learning & Biomimetic Quantum Technologies  2018.3 

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    Venue:Paraninfo of the Faculty of Science and Technology University of the Basque Country, Leioa (Spain)  

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  • Statistical mechanical analysis of Hamiltonian estimation of Ising spin glass based on the framework of statistical query learning International conference

    Takahashi Chako, OHZEKI Masayuki, Okada Shuntaro, Terabe Masayoshi, Taguchi Shinichiro, Tanaka Kazuyuki

    Quantum Machine Learning & Biomimetic Quantum Technologies  2018.3 

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    Venue:Paraninfo of the Faculty of Science and Technology University of the Basque Country, Leioa (Spain)  

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  • 量子速度限界の古典対応物

    奥山 真佳, 大関 真之

    日本物理学会第73回年次大会  2018.3 

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    Venue:東京理科大学 野田キャンパス 千葉県野田市  

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  • 詳細つりあいを破ったMetropolis法の拡張

    一木 輝久, 大関 真之

    日本物理学会第73回年次大会  2018.3 

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    Venue:東京理科大学 野田キャンパス 千葉県野田市  

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  • 多体グリーン関数の自然な疎表現と計算物理学への応用

    品岡 寛, 大槻 純也, 大関 真之, 吉見 一慶

    日本物理学会第73回年次大会  2018.3 

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    Venue:東京理科大学 野田キャンパス 千葉県野田市  

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  • 中性子散乱におけるスパースモデリングの応用

    世永 公輝, 林田 翔平, 大関 真之, 益田 隆嗣

    日本物理学会第73回年次大会  2018.3 

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    Venue:東京理科大学 野田キャンパス 千葉県野田市  

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  • 3D reconstruction of TEM-CT via D-Wave International conference

    Masamichi J. Miyama, Chihiro H. Nakajima, Masayuki Ohzeki

    Quantum Machine Learning & Biomimetic Quantum Technologies  2018.3 

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    Venue:Paraninfo of the Faculty of Science and Technology University of the Basque Country, Leioa (Spain)  

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  • Quantum annealing for deep neural network International conference

    OHZEKI Masayuki, Okada Shuntaro, Terabe Masayoshi, Taguchi Shinichiro

    Quantum Machine Learning & Biomimetic Quantum Technologies  2018.3 

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    Venue:Paraninfo of the Faculty of Science and Technology University of the Basque Country, Leioa (Spain)  

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  • The application of D-wave 2000Q to detect quantum phase transition by deep neural network International conference

    Arai Shunta, OHZEKI Masayuki, Tanaka Kazuyuki

    Quantum Machine Learning & Biomimetic Quantum Technologies  2018.3 

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    Venue:Paraninfo of the Faculty of Science and Technology University of the Basque Country, Leioa (Spain)  

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  • Exponential Acceleration of Grover’s Search by Imaginary-Time Quantum Annealing International conference

    Okada Shuntaro, OHZEKI Masayuki

    Quantum Machine Learning & Biomimetic Quantum Technologies  2018.3 

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    Venue:Paraninfo of the Faculty of Science and Technology University of the Basque Country, Leioa (Spain)  

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  • Accelerated Langevin dynamics and its application to machine learning Invited International conference

    OHZEKI Masayuki

    Fourth Workshop on Tensor Network States Algorithms and Applications  2016.12 

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    Venue:National Tsing Hua University Hsinchu, Taiwan  

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  • スパース正則化入門- 今さらL1ノルム?今こそL1ノルム!- Invited

    大関 真之

    第19回情報論的学習理論ワークショップ(IBIS2016)  2016.11 

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    Venue:京都大学 吉田キャンパス 京都府京都市左京区  

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  • 量子アニーリングが拓く機械学習と計算技術の新時代 Invited

    大関 真之

    コンピュテーション研究会(COMP)  2016.12 

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    Venue:広島大学 東広島キャンパス 広島県東広島市  

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  • Tutorial on Machine learning - toward deep learning from physics - Invited International conference

    OHZEKI Masayuki

    Fourth Workshop on Tensor Network States Algorithms and Applications  2016.12 

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    Venue:National Tsing Hua University Hsinchu, Taiwan  

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  • Sparse modeling: how to solve the ill-posed problem Invited International conference

    OHZEKI Masayuki

    Machine Learning and Many-Body Physics  2017.7 

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    Venue:KITS, UCAS Zhong-Guan-Cun Campus Beijing, China  

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  • 量子アニーリングにおける負符号問題の解消と応用

    大関 真之

    日本物理学会2016年秋季大会  2016.9 

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    Venue:金沢大学 角間キャンパス 石川県金沢市  

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  • 深層学習vsスパースモデリング Invited

    OHZEKI Masayuki

    GPU Technology Conference Japan 2016  2016.10 

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  • 詳細釣り合いの破れを利用したXYマシンの緩和の加速

    一木輝久, 大関真之, 大木健太郎

    日本物理学会2016年秋季大会  2016.9 

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    Venue:金沢大学 角間キャンパス 石川県金沢市  

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  • 量子アニーリングが拓く計算技術と機械学習の新時代 Invited

    大関 真之

    量子システム推定の数理  2016.10 

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    Venue:京都大学数理解析研究所 京都府京都市左京区  

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  • Statistical Mechanics of pre-training and fine tuning in deep learning Invited International conference

    OHZEKI Masayuki

    The 23rd International Conference on Neural Information Processing (ICONIP 2016)  2016.10 

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    Venue:Clock Tower Centennial Hall, Kyoto University Kyoto, Japan  

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  • Population annealing with gauge symmetry against critical slowing down

    East Asia Joint Symposia on Statistical Physics  2012.3  Suzhou University, China

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  • Avoiding negative sign problem in simulation of quantum annealing International conference

    OHZEKI Masayuki

    Adiabatic Quantum Computing Conference 2016 (AQC2016)  2016.6 

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    Venue:Google Los Angeles California, USA  

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  • Population annealing with gauge symmetry and its application

    Rejuvenating Concepts in Glass Physics  2012.3  Institut Henri Poincare, Paris, France

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  • 機械学習に現れる最適化問題と量子アニーリング Invited

    大関 真之

    日本物理学会2016年秋季大会  2016.9 

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    Venue:金沢大学 角間キャンパス 石川県金沢市  

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  • 誰がカンニングを見たか〜大規模データの本質を抽出するスパース性〜 Invited

    大関 真之

    第15回情報科学技術フォーラムFIT2016  2016.9 

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    Language:Japanese  

    Venue:富山大学 五福キャンパス 富山県富山市  

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Awards

  • 平成28年度文部科学大臣表彰若手科学者賞

    2016.4   文部科学省   量子情報理論を拓く有限次元スピングラス理論に関する研究

    大関真之

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    Award type:International academic award (Japan or overseas)  Country:Japan

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Research Projects

  • Development of Robust Quantum Error Correction by Continuous-Time Quantum Feedback Control

    Grant number:23H01432  2023.4 - 2026.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Grant amount:\18590000 ( Direct Cost: \14300000 、 Indirect Cost:\4290000 )

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  • Development of Robust Quantum Error Correction by Continuous-Time Quantum Feedback Control

    Grant number:23K26126  2023.4 - 2026.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Grant amount:\18590000 ( Direct Cost: \14300000 、 Indirect Cost:\4290000 )

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  • Development of theory and technology for quantum error correction based on quantum control theory

    Grant number:20H02168  2020.4 - 2023.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Grant amount:\16120000 ( Direct Cost: \12400000 、 Indirect Cost:\3720000 )

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  • Quantum-Annealing Assisted Innovative Material Informatics Infrastructure

    Grant number:19H01095  2019.4 - 2023.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (A)

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    Grant amount:\45110000 ( Direct Cost: \34700000 、 Indirect Cost:\10410000 )

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  • Creation of design theory of quantum statistical machine learning system and its realization

    Grant number:18H03303  2018.4 - 2021.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    Kazuyuki Tanaka

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    Grant amount:\17290000 ( Direct Cost: \13300000 、 Indirect Cost:\3990000 )

    Some formulations of supervised learning of probabilistic graphical models by conventional belief propagation methods have extended to supervised learning by means of density matrices from the standpoint of quantum mechanical version of cluster variational method. The formulations for quantum statistical supervised learning was released as the book chapter of English book (https://doi.org/10.1007/978-981-16-4095-7_10). Furthermore, we have shown that good performance can be expected in the quantum statistical machine learning systems with low-dimensional state vectors for some application examples such as image generation.

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  • Realization of first-principles calculations of magnetism and superconductivity by compression of high-dimensional data

    Grant number:18H01158  2018.4 - 2021.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    Otsuki Junya

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    Grant amount:\17420000 ( Direct Cost: \13400000 、 Indirect Cost:\4020000 )

    Strongly correlated electron compounds offers various practically useful functionalities such as magnetism and superconductivity. The susceptibility represents the response to an external field, and plays an important role in understanding their physical properties. However, calculations of the susceptibility for realistic strongly correlated compounds have not been realized due to the difficulty in numerical calculations. Applying data science approaches, this project has achieved important progress toward the realization of susceptibility calculations for strongly correlated compounds.

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  • Material Function Estimation Based on Real Space Observation

    Grant number:17H06469  2017.6 - 2022.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

    Ichiki Akihisa

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    Grant amount:\52130000 ( Direct Cost: \40100000 、 Indirect Cost:\12030000 )

    The use of machine learning for the development of highly functional materials is the main focus of materials informatics. However, for the safety of the materials development, it is necessary to explain the predicted functions of materials in terms of what humans can understand. In this study, we have investigated the relationship between the structure and function of a material, which are two essential elements of human understanding in materials science, and have shown that the three-dimensional structure of a material and the structure of a material suggested by its molecular formula can indeed be used to predict the physical properties that the material will exhibit. We also clarified the trade-off relation between computation time and computation accuracy for a solver of an optimization problem, which typically appears in the learning phase of machine learning. This is expected to lead to the construction of more efficient machine learning algorithms.

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  • Fusion of Control/Quantum/Information Theories for Quantum Control Technology

    Grant number:16H04382  2016.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    Tsumura Koji, Hara Shinji, Ohta Kaito

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    Grant amount:\14690000 ( Direct Cost: \11300000 、 Indirect Cost:\3390000 )

    In this research, we aim to establish theories over three fields including control theory, quantum mechanics, and information theory by fusing quantum feedback (FB) control theory, quantum estimation, and quantum computation. In detail, we derived the following results; (I: control) quantum FB control of an optical cavity under measurement constraints, large-scale FB control with local measurement and operations, FB control of thermodynamics under limitation of channel capacity, (II: quantum estimation) generalization of quantum smoothing, projection measurements selection and performance estimation, non-informative prior of the quantum statistical model based on game theory, (III: quantum computation) new methods for quantum annealing and performance improvement by FB control, and deterministic quantum annealing EM algorithm.

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  • Innovative machine learning algorithm driven by violation of detailed balance condition

    Grant number:16K13849  2016.4 - 2019.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Challenging Exploratory Research

    Ohzeki Masayuki

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    Grant amount:\3640000 ( Direct Cost: \2800000 、 Indirect Cost:\840000 )

    This study is to develop an innovative algorithm in the field of machine learning that uses classical stochastic processes, based on the fact that the convergence to steady state accelerates when the detailed balance is broken.
    Starting with Physical Review E 93 (2016) 012129 in 2016, we understand the role played by detailed balance as a physical process, go beyond classical stochastic processes, and step into quantum stochastic processes to create diverse algorithms I aimed at. The basic theory for exploiting quantum systems that are difficult to handle due to the presence of the negative sign problem was developed in Scientific Reports, (2017) 41186, and in scientific reports, 8 (2018) 9950, machine learning utilizing quantum fluctuation A demonstration experiment of the algorithm was conducted.

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  • New era driven by quantum annealing for machine learning and computation

    Grant number:15H03699  2015 - 2018

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    Ohzeki Masayuki

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\5200000 ( Direct Cost: \4000000 、 Indirect Cost:\1200000 )

    Two achievements have been attained with regard to "the relationship between prime factorization and computational complexity" and "the use of non-trivial quantum fluctuation of quantum annealing" mentioned in the subjects of basic research B.
    For the former, the free energy shape is clarified by analyzing the structure of energy and entropy for prime number decomposition.
    The latter half of the result is a large progress that is never predicted, and even for non stoquastic systems that can not be simulated by the quantum Monte Carlo method in a straightforward way, the quantum Monte Carlo method can be implemented using an adaptive transverse magnetic field.

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  • Statistical mechanics study for prime factorization

    Grant number:26610111  2014.4 - 2017.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Challenging Exploratory Research

    Nakajima Chihiro, OHZEKI MASAYUKI

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    Grant amount:\2990000 ( Direct Cost: \2300000 、 Indirect Cost:\690000 )

    We have studied the statistical-mechanics model of the prime factorization problem via a formulation of the ground-state searching problem. By the analysis of the density of states of two macroscopic quantities, i.e., the energy and the Hamming distance from the correct solutions, leads to two features that are each related to two marked changes in the energy region sampled via Monte Carlo simulation or simulated annealing. One is the peculiar first order phase transition that has the intermediate property between the conventional first-order transition and the second-order one and the other is the convex kink in the density of states.

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  • Approach to sparse modeling based on compressed sensing

    Grant number:25120008  2013.6 - 2018.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

    Tanaka Toshiyuki

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    Grant amount:\68120000 ( Direct Cost: \52400000 、 Indirect Cost:\15720000 )

    In collaboration with the Medical Science team, Planetary Science team and others, we have developed image reconstruction methods from fewer numbers of measurement data in magnetic resonance imaging (MRI) and very long baseline interferometry (VLBI), in which compressed sensing has been utilized. As an example, using one of the proposed methods, we visualized spatio-temporal dynamics of metabolism of glucose injected into a tumor-bearing mouse in vivo via magnetic resonance spectroscopic imaging (MRSI), where one can observe spreading of the injected glucose over the whole body and conversion into lactate within the tumor tissue (the Warburg effect). Without compressed sensing, it takes several hours to acquire data even for a single frame, making measurement of spatio-temporal dynamics impossible. We have thus proved feasibility of the concept that with compressed sensing one can visualize spatio-temporal dynamics of biochemical processes in body non-invasively.

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  • Statistical mechanics and Information processing for optimization and control by nonequilibrium relation

    Grant number:24740263  2012 - 2015

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Young Scientists (B)

    Ohzeki Masayuki

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

    The research project aims at investigation and proposal for solving optimization problem by use of the various nonequilibrium relation such as fluctuation theorem and Jarzynski equality through analyses of various spin glass models.
    【The first year representative result】Masayuki Ohzeki, Phys. Rev. E 86, 061110 (2012), 【the second year representative result】Akihisa Ichiki and Masayuki Ohzeki, Phys. Rev. E 88, 020101(R) (2013), 【The third year representative result】Masayuki Ohzeki and Akihisa Ichiki, Phys. Rev. E 92, 012105 (2015)

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  • Precise determination of the multicritical point by renormalization group and duality analysis

    Grant number:20740218  2008 - 2012

    Ministry of Education, Culture, Sports, Science and Technology  Grants-in-Aid for Scientific Research(若手研究(B))  若手研究(B)

    Masayuki OHZEKI

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\3510000 ( Direct Cost: \2700000 、 Indirect Cost:\810000 )

    We develop the classical methods in statistical mechanics, duality and renormalization group analysis such that they are applicable to both of the classical and quantum information theory through the special critical point in spin glasses. The study is closely associated with reconsideration of information theory through physics. We perform the following analytical studies ; 1. Establishment to identify the location of the special critical point 2. Consideration on the relationship with the error threshold in quantum information 3. Analysis by aid of the symmetry of the partition function We obtain many outstanding results until the final term of the period supported by the foundation.1. Establishment to identify the location of the special critical point2. Consideration on the relationship with the error threshold in quantum information3. Analysis by aid of the symmetry of the partition functionWe obtain many outstanding results until the final term of the period supported by the foundation.

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Other

  • スピングラス理論を駆使した量子誤り訂正符号の読み出しアルゴリズムの開発

    2016.4

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    誤り訂正符号の高速読み出し技術の開発

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  • 量子人工脳を量子ネットワークでつなぐ高度知識社会基盤の実現

    2016.4

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    コヒーレントイジングマシンの産業利用に向けた応用研究

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