2025

1. Yuma Ichikawa and Koji Hukushima,
   “Statistical Mechanics of Min-Max Problems,”
   Accepted for publication in Transactions on Machine Learning Research, 2025
2. Yuki Sakishita, Fuyuki Nabeshima, Atsutaka Maeda, and Koji Hukushima,
   “Bayesian Estimation of Thin-film X-ray Laue Oscillation Using Markov Chain Monte Carlo Method,”
   Japanese Physical Society of Japan, 94, 014001 (2025) 2025
   https://doi.org/10.7566/JPSJ.94.014001

2024

1. Kai Nakaishi and Koji Hukushima,
   “Statistical properties of probabilistic context-sensitive grammars,”
   Phys. Rev. Research 6, 033216
   https://link.aps.org/doi/10.1103/PhysRevResearch.6.033216
   解説はそのうち書く。プレスリリースはこちら。
2. Aki Dote and Koji Hukushima,
   “Effect of constraint relaxation on dynamic critical phenomena in minimum vertex cover problem,”
   Europhysics Letters, Volume 147, Number 1, 147 11005 (2024)
   https://dx.doi.org/10.1209/0295-5075/ad5102
   プチ解説はそのうち書く
3. Yamato Arai, Yuma Ichikawa, and Koji Hukushima,
   “Adaptive Flip Graph Algorithm for Matrix Multiplication,”
   ISSAC ’24: Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation, July 2024, Pages 292 – 298
   この研究のプチ解説はこちらから
4. Yasushi Nagano and Koji Hukushima,
   “Effect of global shrinkage parameter of horseshoe prior in compressed sensing,”
   J. Stat. Mech. (2024) 053402
   プチ解説はこちらから
5. Yuma Ichikawa and Koji Hukushima,
   “Learning Dynamics in Linear VAE: Posterior Collapse Threshold, Superfluous Latent Space Pitfalls, and Speedup with KL Annealing,”
   International Conference on Artificial Intelligence and Statistics, 1936-1944, 2024
   プチ解説はこちらから
6. Aki Dote and Koji Hukushima,
   “Effect of constraint relaxation on the minimum vertex cover problem in random graphs,”
   Phys. Rev. E 109, 044304 – Published 5 April 2024
   https://doi.org/10.1103/PhysRevE.109.044304
   プチ解説はこちら
7. Masashi Hase, Ryo Tamura, Koji Hukushima, Shinichiro Asai, Takatsugu Masuda, Shinichi Itoh, and Andreas Dönni,
   “Inelastic neutron scattering studies on the eight-spin zigzag-chain compound KCu4P3O12: Confirmation of the validity of a data-driven technique based on machine learning,”
   Phys. Rev. B 109, 094434 – Published 25 March 2024
   https://doi.org/10.1103/PhysRevB.109.094434
8. Ryo Nakanishi and Koji Hukushima
   “Emergence of compact disordered phase in a polymer Potts model,”
   Phys. Rev. E 109, 014405, 2024.
   https://doi.org/10.1103/PhysRevE.109.014405
   プチ解説はこちら
9. Mizuki Yamaguchi, Naoto Shiraishi & Koji Hukushima
   “Proof of Avoidability of the Quantum First-Order Transition in Transverse Magnetization in Quantum Annealing of Finite-Dimensional Spin Glasses,”
   J Stat Phys 191, 12, 2024.
   https://doi.org/10.1007/s10955-023-03223-2

2023

1. Kota Yoshiyama and Koji Hukushima
   “Higher-order tensor renormalization group study of the J1−J2 Ising model on a square lattice”,
   Physical Review E, 108, 054124, 2023.
   https://doi.org/10.1103/PhysRevE.108.054124
   https://arxiv.org/abs/2303.07733
   プチ解説というか研究コメント
2. Yasushi Nagano and Koji Hukushima
   “Phase transition in compressed sensing with horseshoe prior”,
   Physical Review E, 107, 034126, 2023.
   https://doi.org/10.1103/PhysRevE.107.034126
   こちらの解説もここから
   

2022

1. Yuma Ichikawa and Koji Hukushima,
   “Statistical-mechanical Study of Deep Boltzmann Machine Given Weight Parameters after Training by Singular Value Decomposition”,
   J. Phys. Soc. Jpn. 91, 114001, 2022.
   https://doi.org/10.7566/JPSJ.91.114001
   簡単解説はこちら
2. Kai Nakaishi, Koji Hukushima,
   “Absence of Phase Transition in Random Language Model”,
   Physical Review Research,  4, 023156, 2022.
   https://doi.org/10.1103/PhysRevResearch.4.023156
   この論文のプチ解説
3. Hiroaki Inoue, Koji Hukushima, and Toshiaki Omori,
   “Estimating Distributions of Parameters in Nonlinear State Space Models with Replica Exchange Particle Marginal Metropolis–Hastings Method”,
   Entropy 24 (1), 115, 2022.
   https://doi.org/10.3390/e24010115

2021

1. Takeo Hoshi, Daishiro Sakata, Shotaro Oie, Izumi Mochizuki, SatoruTanaka, Toshio Hyodo, Koji Hukushima,
   “Data-driven sensitivity analysis in surface structure determination using total-reflection high-energy positron diffraction (TRHEPD)”,
   Computer Physics Communications, 271, 108186， 2022.
   https://doi.org/10.1016/j.cpc.2021.108186
2. Hiroaki Inoue, Koji Hukushima, and Toshiaki Omori
   “Estimation of Neuronal Dynamics of Izhikevich Neuron Models from Spike-Train Data with Particle Markov Chain Monte Carlo Method”
   J. Phys. Soc. Jpn. 90, 104801 (2021)
   https://doi.org/10.7566/JPSJ.90.104801
3. Harukuni Ikeda and Koji Hukushima
   “Nonaffine displacements below jamming under athermal quasistatic compression”
   Phys. Rev. E 103, 032902 (2021)
   https://doi.org/10.1103/PhysRevE.103.032902

2020

1. Kota Yoshiyama and Koji Hukushima
   “Higher-Order Tensor Renormalization Group Approach to Lattice Glass Model”
   J. Phys. Soc. Jpn. 89, 104003 (2020)
   https://doi.org/10.7566/JPSJ.89.104003
   プチ解説
2. Hiroaki Inoue, Koji Hukushima and Toshiaki Omori
   “Replica Exchange Particle-Gibbs Method with Ancestor Sampling”
   J. Phys. Soc. Jpn. 89, 104801 (2020)
   https://doi.org/10.7566/JPSJ.89.104801
3. Yoshihiko Nishikawa and Koji Hukushima
   “Lattice Glass Model in Three Spatial Dimensions”
   Phys. Rev. Lett. 125, 065501 – Published 5 August 2020
   DOI:https://doi.org/10.1103/PhysRevLett.125.065501
   まだちゃんと書いてないけど論文の背景
4. Ryo Tamura, Koji Hukushima, Akira Matsuo, Koichi Kindo, and Masashi Hase
   “Data-driven determination of the spin Hamiltonian parameters and their uncertainties: The case of the zigzag-chain compound KCu₄P₃O₁₂“
   Phys. Rev. B 101, 224435– Published 29 June 2020
   DOI:https://doi.org/10.1103/PhysRevB.101.224435
5. Hiori Kino, Kohji Nakamura, Koji Hukushima, Takashi Miyake, and Dam Hieu Chi
   “Maximum Separated Distribution with High Interpretability Found Using an Exhaustive Search Method —Application to Magnetocrystalline Anisotropy of Fe/Co Films—”
   J. Phys. Soc. Jpn. 89, 064802 (2020)
   https://doi.org/10.7566/JPSJ.89.064802 Editor’s choice
   日本物理学会の簡単解説
6. Nobuya Sato, Tomoki Yamashita, Tamio Oguchi, Koji Hukushima, and Takashi Miyake
   “Adjusting the descriptor for a crystal structure search using Bayesian optimization”
   Phys. Rev. Materials 4, 033801 – Published 19 March 2020
   DOI:https://doi.org/10.1103/PhysRevMaterials.4.033801
   

2019

1. Jun Takahashi and Koji Hukushima
   “Phase transitions in quantum annealing of an NP-hard problem detected by fidelity susceptibility”
   J. Stat. Mech. (2019) 043102
   DOI: https://doi.org/10.1088/1742-5468/ab0819　
   簡単論文解説
2. Yoshihiko Nishikawa, Koji Hukushima, and Werner Krauth
   “Solid-liquid transition of skyrmions in a two-dimensional chiral magnet”
   Physica Review B 99, 064435
   DOI: 10.1103/PhysRevB.99.064435
   簡単な解説

2018

1. Yoshinori Nakanishi-Ohno and Koji Hukushima
   “Data-driven diagnosis for compressed sensing with cross validation”
   Physical Review E 98, 052120 (2018)
   DOI: 10.1103/PhysRevE.98.052120
2. Yuta Mizuno and Koji Hukushima
   “Power-law decay in the nonadiabatic photodissociation dynamics of alkali halides due to quantum wavepacket interference”
   The Journal of Chemical Physics 149, 174313 (2018)
   DOI: 10.1063/1.5048957
3. Tomoyuki Obuchi, Yoshinori Nakanishi-Ohno, Masato Okada, and Yoshiyuki Kabashima
   “Statistical mechanical analysis of sparse linear regression as a variable selection problem”
   Journal of Statistical Mechanics: Theory and Experiment 2018, 103401 (2018)
   DOI: 10.1088/1742-5468/aae02c
4. Masato Anada, Kazuhiro Kowa, Hiroki Maeda, Enju Sakai, Miho Kitamura, Hiroshi Kumigashira, Osami Sakata, Yoshinori Nakanishi-Ohno, Masato Okada, Tsuyoshi Kimura, and Yusuke Wakabayashi
   “Spatial coherence of the insulating phase in quasi-two-dimensional LaNiO3 films”
   Physical Review B 98, 014105 (2018)
   DOI: 10.1103/PhysRevB.98.014105
5. Yasuhiko Igarashi, Hikaru Takenaka, Yoshinori Nakanishi-Ohno, Makoto Uemura, Shiro Ikeda, and Masato Okada
   “Exhaustive search for sparse variable selection in linear regression”
   Journal of the Physical Society of Japan 87, 044802 (2018)
   DOI: 10.7566/JPSJ.87.044802
6. Masamichi J. Miyama and Koji Hukushima
   “Real-space analysis of scanning tunneling microscopy topography datasets using sparse modeling approach”
   Journal of the Physical Society of Japan 87, 044801 (2018)
   DOI: 10.7566/JPSJ.87.044801
7. Ryo Tamura and Koji Hukushima
   “Bayesian optimization for computationally extensive probability distributions”
   PLOS ONE 13, e0193785 (2018)
   DOI: 10.1371/journal.pone.0193785
8. Satoshi Takabe, Takanori Maehara, and Koji Hukushima
   “Typical approximation performance for maximum coverage problem”
   Physical Review E 97, 022138 (2018)
   DOI: 10.1103/PhysRevE.97.022138
9. Hirotaka Sakamoto, Yoshinori Nakanishi-Ohno, and Masato Okada
   “Influence of averaging preprocessing on image analysis with a Markov random field model”
   Journal of the Physical Society of Japan 87, 024802 (2018)
   DOI: 10.7566/JPSJ.87.024802

2017

1. Masato Anada, Yoshinori Nakanishi-Ohno, Masato Okada, Tsuyoshi Kimura, and Yusuke Wakabayashi
   “Bayesian inference of metal oxide ultrathin film structure based on crystal truncation rod measurements”
   Journal of Applied Crystallography 50, 1611-1616 (2017)
   DOI: 10.1107/S1600576717013292
2. Jun Takahashi, Satoshi Takabe, and Koji Hukushima
   “An exact algorithm exhibiting RS-RSB/easy-hard correspondence for the maximum independent set problem”
   Journal of the Physical Society of Japan 86, 073001 (2017)
   DOI: 10.7566/JPSJ.86.073001
3. Ryo Tamura and Koji Hukushima
   “Method for estimating spin-spin interactions from magnetization curves”
   Physical Review B 95, 064407 (2017)
   DOI: 10.1103/PhysRevB.95.064407

2016

1. S Takabe, K Hukushima “Typical performance of approximation algorithms for NP-hard problems”Journal of Statistical Mechanics: Theory and Experiment 2016 (11), 113401 6 2016
2. T Omori, T Kuwatani, A Okamoto, K Hukushima “Bayesian inversion analysis of nonlinear dynamics in surface heterogeneous reactions”
   Physical Review E 94 (3), 033305 5 2016
3. Y Sakai, K Hukushima “Irreversible simulated tempering” Journal of the Physical Society of Japan 85 (10), 104002 5 2016
4. Y Sakai, K Hukushima “Irreversible simulated tempering algorithm with skew detailed balance conditions: a learning method of weight factors in simulated tempering” Journal of Physics: Conference Series 750 (1), 012013 1 2016
5. Y Nishikawa, K Hukushima “Event-chain Monte Carlo algorithm for continuous spin systems and its application” Journal of Physics: Conference Series 750 (1), 012014 4 2016
6. Y Nishikawa, K Hukushima “Phase transitions and ordering structures of a model of chiral helimagnet in three dimensions” Physical Review B 94 (6), 064428 17 2016
7. Y Nakanishi-Ohno, M Haze, Y Yoshida, K Hukushima, Y Hasegawa, M Okada “Compressed sensing in scanning tunneling microscopy/spectroscopy for observation of quasi-particle interference” Journal of the Physical Society of Japan 85 (9), 093702 5 2016
8. M Sasaki, K Hukushima “Numerical Detection of Ergodicity Breaking in a Glass Model”  Journal of the Physical Society of Japan 85 (7), 074602 2016
9. S Takabe, K Hukushima “Statistical mechanical analysis of linear programming relaxation for combinatorial optimization problems”
   Physical Review E 93 (5), 053308 3 2016
10. Y Sakai, K Hukushima “Eigenvalue analysis of an irreversible random walk with skew detailed balance conditions”  Physical Review E 93 (4), 043318 9 2016
11. T Omori, K Hukushima “Extracting nonlinear spatiotemporal dynamics in active dendrites using data-driven statistical approach”  Journal of Physics: Conference Series 699 (1), 012011

Proceedings

2018

1. Yoshinori Nakanishi-Ohno and Koji Hukushima
   “Data-driven diagnosis for compressed sensing algorithms”
   Journal of Physics: Conference Series 1036, 012014 (2018)
   DOI: 10.1088/1742-6596/1036/1/012014
2. Yasuhiko Igarashi, Hiroko Ichikawa, Yoshinori Nakanishi-Ohno, Hikaru Takenaka, Daiki Kawabata, Satoshi Eifuku, Ryoi Tamura, Kenji Nagata, and Masato Okada
   “ES-DoS: Exhaustive search and density-of-states estimation as a general framework for sparse variable selection”
   Journal of Physics: Conference Series 1036, 012001 (2018)
   DOI: 10.1088/1742-6596/1036/1/012001