研究業績
2021年度
2021年度年次報告書は [こちら] (JSTサイト内)
原著論文
| No | |
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| 1 | Naoya Takeishi, and Yoshinobu Kawahara, "Learning Dynamics Models with Stable Invariant Sets," Proc. of the 35th AAAI Conf. on Artificial Intelligence (AAAI-21), pp.9782-9790 (2021). |
| 2 | Masahiro Ikeda, "Global dynamics below the ground state for the focusing semi linear Schrödinger equation with a linear potential," Journal of Mathematical Analysis and Applications, 503 (2021). |
| 3 | Hiroyuki Hirayama, Masahiro Ikeda, Tomoyuki Tanaka, "Well-posedness for the fourth-order Schrödinger equation with higher order derivative nonlinearities," Nonlinear Differential Equations and Applications NoDEA, 28;46 (2021). |
| 4 | Kazumasa Fujiwara, Masahiro Ikeda, and Yuta Wakasugi, "On the Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping," Nonlinear Differential Equations and Applications NoDEA, 28;63 (2021). |
| 5 | Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano, "A global universality of two-layer neural networks with ReLU activations," Journal of Function Spaces Volume 2021, Article ID 6637220 (2021). |
| 6 | Shohei Takata, Yuzuru Kato, and Hiroya Nakao, "Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory," Chaos 31, 093124 (2021) |
| 7 | Naohiro Kon, Hsin-Tzu Wang, ..., Gen Kurosawa, et al., "Na +/Ca 2+ exchanger mediates cold Ca 2+ signaling conserved for temperature-compensated circadian rhythms," Science Advances 7, eabe8132 (2021) |
| 8 | Yuzuru Kato and Hiroya Nakao, "Quantum coherence resonance," New Journal of Physics New Journal of Physics 23, 043018 (2021) |
| 9 | Hiroya Nakao, Katsunori Yamaguchi, Shingo Katayama, and Tatsuo Yanagita, "Sparse optimization of mutual synchronization in collectively oscillating networks," Chaos 31, 063113 (2021) |
| 10 | Jinjie Zhu and Hiroya Nakao, "Stochastic periodic orbits in fast-slow systems with self-induced stochastic resonance," Physical Review Research 3, 033070 (2021) |
| 11 | Yuzuru Kato, Anatoly Zlotnik, Jr-Shin Li, and Hiroya Nakao, "Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators," Nonlinear Dynamics 105, 2247–2263 (2021) |
| 12 | Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi, and Hiroya Nakao, "Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory," Mathematics 2021, 9, 2188 [18 pages] (2021) |
| 13 | T. Iwata, and Y. Kawahara, "Controlling Nonlinear Dynamical Systems with Linear Quadratic Regulator-based Policy Networks in Koopman space," Proc. of the 60th IEEE Conf. on Decision and Control (CDC'21), pp. 5086-5091 (2021) |
| 14 | Y. Hashimoto, I. Ishikawa, M. Ikeda, F. Komura, T. Katsura, and Y. Kawahara, "Reproducing Kernel Hilbert C*-Modules and Kernel Mean Embeddings," Journal of Machine Learning Research, Vol.22, No.267, pp.1-56 (2021). |
| 15 | S. Ikeda, K. Kawano, S. Watanabe, O. Yamashita, and Y. Kawahara, "Predicting behavior through dynamic modes in resting-state fMRI data," NeuroImage, Vol.247, Article Number 118801 (2022). |
| 16 | I. Ul Haq, T. Iwata, and Y. Kawahara, "Dynamic mode decomposition via convolutional encoders for dynamics modeling in videos," Computer Vision and Image Understanding, Vol.216, Article Number 103355 (2022). |
| 17 | Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara, Yoshihiro Yamazaki, and Hiroya Nakao, "Koopman spectral analysis of elementary cellular automata," Chaos 31, 103121 [15 pages] (2021), DOI: 10.1063/5.0059202 |
| 18 | Masaru Hamano and Masahiro Ikeda, "Eqivalence of conditions on initial data below the ground state to NLS with a repulsive inverse power potential," J. Math. Phys 63, 031509 (2022). |
| 19 | Masahiro Ikeda, Isao Ishikawa, and Yoshihiro Sawano, "Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions," Journal of Mathematical Analysis and Applications, Volume 511, Issue 1, 2022, 126048 |
| 20 | Noboru Chikami, Masahiro Ikeda and Koichi Taniguchi, "Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation," Nonlinearity,(2021), 34, 8094. |
| 21 | Y. Hirono, T. Okada, H. Miyazaki, Y. Hidaka, "Structural reduction of chemical reaction networks based on topology," Physical Review Research, 3, 043123 (2021) |
| 22 | K. Fujii, N. Takeishi, K. Tsutsui, E. Fujioka, N. Nishiumi, R. Tanaka, M. Fukushiro, K. Ide, H. Kohno, K. Yoda, S. Takahashi, S. Hiryu, and Y. Kawahara, "Learning interaction rules from multi-animal trajectories via augmented behavioral models," in Advances in Neural Information Processing Systems 34 (Proc. of NeurIPS'21) (accepted) |
| 23 | N. Takeishi, K. Takeuchi, K. Fujii, and Y. Kawahara, "Discriminant Dynamic Mode Decomposition for Labeled Spatio-Temporal Data Collections," SIAM Journal on Applied Dynamical Systems (accepted). |
| 24 | Noriyoshi Fukaya, Vladimir Georgiev, Masahiro Ikeda, "On stability and instability of standing waves for 2D-nonlinear Schrödinger equations with point interaction," Journal of Differential Equations 321, (2022),258--295. |
| 25 | Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano, "Universality of neural networks with a sigmoidal activation or discriminatory function on Banach lattices over the real line," to appear in Journal of Mathematical Science. |
| 26 | Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano, "Heaviside function as an activation function," to appear Journal of applied analysis. |
その他著作物
| No | |
|---|---|
| 1 | Hiroya Nakao, "Phase and Amplitude Description of Complex Oscillatory Patterns in Reaction-Diffusion Systems," In: Stefanovska A., McClintock P.V.E. (eds) Physics of Biological Oscillators. Understanding Complex Systems. Springer, Cham, 2021. |
| 2 | 佐々木真, 河原吉伸, 草場彰, "データ駆動アプローチを用いた動的乱流現象の解析," (解説), 特集：磁場閉じ込め核融合プラズマにおけるデータ駆動アプローチによる物理的理解と発見, プラズマ・核融合学会誌, Vol.97, No.2, pp.79-85, 2021. |
招待講演
| No | |
|---|---|
| 1 | 河原吉伸, "複雑ダイナミクスの理解へのデータ駆動によるアプローチと機械学習," 2021年度 人工知能学会全国大会 (第35回), 企画セッション KS-04「人工知能と数学-数学の強み-」, コロナのためオンライン開催, 2021/6/10. |
| 2 | 池田 正弘, "ハイパーグラフ上の熱とそのネットワーク解析への応用," 微分方程式とデータサイエンス研究会, オンライン, 2021/9/30. |
| 3 | 佐々田槙子, "流体力学極限の幾何学的考察," 岡潔女性数学者セミナー, コロナのためオンライン開催, 2021/9/24. |
| 4 | 中尾裕也, "大自由度力学系のKoopman作用素論に基づく次元縮約について," 2021年度 第40回計算数理工学フォーラム, コロナのためオンライン開催, 2021/9/24. |
| 5 | 河原吉伸, "非線形動力学の作用素論的解析とニューラルネット," 非線形動力学に基づく次世代AIと基盤技術に関するシンポジウム, コロナのためオンライン開催, 2021/9/21. |
| 6 | 佐々田槙子, "Varadhanの分解定理の抽象的な定式化と証明について," 東京確率論セミナー, コロナのためオンライン開催, 2021/10/25. |
| 7 | 佐々田槙子, "On Varadhan’s decomposition theorem in an abstract setting," Rigorous Statistical Mechanics and Related Topics, コロナのためオンライン開催, 2021/11/19. |
| 8 | 佐々田槙子, "Varadhanの閉形式分解定理の抽象的な定式化と証明," The 19th Symposium Stochastic Analysis on Large Scale, コロナのためオンライン開催, 2021/12/8. |
| 9 | 佐々田槙子, "On Varadhan’s decomposition theorem in a general setting," 5th Colloquium on Interacting Particle Systems @Tecnico / SPMES, コロナのためオンライン開催, 2021/1/5. |
| 10 | 坂内健一, "Mathematicians meet Machine Learning," Taiwanese Mathematical Society Annual Meeting, コロナのためオンライン開催, 2022/1/17. |
| 11 | 佐々田槙子, "Topological structures and the role of symmetry in the hydrodynamic limit of nongradient models," One world IAMP mathematical physics seminar, コロナのためオンライン開催, 2022/3/8. |
| 12 | 佐々田槙子, "非平衡統計力学に対する数学的基礎づけ," 第3回 輝く女性研究者賞（ジュンアシダ賞）受賞記念講演会, コロナのためオンライン開催, 2022/3/10. |
| 13 | Masahiro Ikeda, "Heat on hypergrapn and its application to network analysis," SIAM Conference on Analysis of Partial Differential Equations (PD22), Online, 2022/3/14. |
| 14 | 儀保伸吾, 山口良文, 黒澤元, "冬眠中体温パターンの定量的解析," 第99回日本生理学会大会, コロナのためオンライン開催, 2022/3/16. |
| 15 | 佐々田槙子, "Topological structures and the role of symmetry in the hydrodynamic limit," SEMINAR ON STOCHASTIC PROCESSES 2022, コロナのためオンライン開催, 2022/3/17. |
| 16 | 佐々田槙子, "Topological structures and the role of symmetry in the hydrodynamic limit," Workshop: Interacting Particle Systems and Hydrodynamic Limits, コロナのためオンライン開催, 2022/3/24. |
口頭発表
| No | |
|---|---|
| 1 | Yoshinobu Kawahara, "Operator-theoretic data analysis for dynamic processes," I2CNER-IMI International Workshop, オンライン, 2020/1/31. |
| 2 | Sho Sonoda, Isao Ishikawa, Masahiro Ikeda "Gradient descent converges to ridgelet spectrum," 24th International Conference on Artificial Inntelligence and Statistics(AISTATS), オンライン, 2021/4/13-15. |
| 3 | 池田 正弘, 内田 俊, "Nonlinear evolution equation associated with Hypergraph Laplacian," 日本数学会・2021年度秋季総合分科会, オンライン, 2021/9/17. |
| 4 | 千頭 昇, 池田 正弘, 谷口 晃一, "Optimal well-posedness of Hardy-Henon parabolic equation," 日本数学会・2021年度秋季総合分科会, オンライン, 2021/9/15. |
| 5 | 浜野 大, 池田 正弘, "長距離型ポテンシャルをもつ非線形シュレディンガー方程式の散乱解について," 日本数学会・2021年度秋季総合分科会, オンライン, 2021/9/16. |
| 6 | Yuzuru Kato, Hiroya Nakao, "Asymptotic phase of classical and quantum nonlinear oscillators from Koopman operator viewpoint," SIAM Conference on Applications of Dynamical Systems, オンライン, 2021/5.25. |
| 7 | Yuzuru Kato, Jinjie Zhu, Hiroya Nakao, "Koopman operator and phase and amplitude functions for stochastic oscillators," Dynamics Days Europe 2021, オンライン, 2021/8/27. |
| 8 | Yuzuru Kato, Hiroya Nakao, "Optimization of periodic input waveforms for phase distribution control of weakly forced limit-cycle oscillators," SICE 2021, オンライン, 2021/9/9. |
| 9 | 多賀圭理, 加藤譲, 河原吉伸, 山崎義弘, 中尾裕也, "エレメンタリーセルオートマトンのKoopmanスペクトル解析," 日本応用数理学会 2021年度年会, オンライン, 2021/9/7. |
| 10 | 安達雄飛, 加藤譲, 中尾裕也, "量子連続測定を用いた量子非線形振動子における同期現象の解析," 日本物理学会2021年秋季大会, オンライン, 2021/9/22. |
| 11 | 髙田翔平, 加藤譲, 中尾裕也, "位相・振幅縮約理論を用いた強入力下における注入同期の最適化," 日本物理学会2021年秋季大会, オンライン, 2021/9/22. |
| 12 | Shingo Gibo and Gen Kurosawa, "Waveform analysis reveals the mechanisms for circadian rhythms and hibernation," Society for Mathematical Biology Annual Meeting 2021, オンライン, 2021/6/15. |
| 13 | 儀保伸吾, 山口良文, 黒澤元, "冬眠中の体温変化に関する数理的研究," 日本数理生物学会2021年度年会, オンライン, 2021/9/13. |
| 14 | 儀保伸吾, 黒澤元, "生物振動の波形情報による周期と同期の解析," 日本数理生物学会2021年度年会, オンライン, 2021/9/13. |
| 15 | S. Ikeda, K. Kawano, S. Watanabe, O. Yamashita, and Y. Kawahara, "Resting-state brain dynamic modes predict behavioral traits," 2021 Annual Meeting of Organization for Human Brain Mapping (OHBM-21), オンライン, 2021/6/1. |
| 16 | S. Ikeda, K. Kawano, S. Watanabe, O. Yamashita, and Y. Kawahara, "Human behavior can be predicted from resting-state brain dynamic modes," 第44回日本神経科学大会／第1回 CJK 国際会議, オンライン, 2021/7/1. |
| 17 | 橋本悠香, 石川勲, 池田正弘, 紅村冬大, 勝良健史, 河原吉伸, "RKHMの関数データへの応用," 第24回 情報論的学習理論ワークショップ (IBIS 2021), オンライン, 2021/11/10. |
| 18 | 手嶋毅志, 石川勲, 東條広一, 大野健太, 池田正弘, 杉山将, "可逆ニューラルネットのSobolev空間における普遍性について," 第24回情報論的学習理論,ワークショップ(IBIS2021), オンライン, 2021/11/11. |
| 19 | 園田 翔, 石川勲, 池田 正弘, "群畳み込みニューラルネットに対するリッジレット変換," 第24回情報論的学習理論,ワークショップ(IBIS2021), オンライン, 2021/11/11. |
| 20 | 児島歩武, 河原吉伸, "残差の独立性に基づく動的モード間の因果構造の探索," 第24回 情報論的学習理論ワークショップ (IBIS 2021), オンライン, 2021/11/12. |
| 21 | 藤井慶輔, 武石直也, 筒井和詩, 藤岡慧明, 西海望, 田中良弥, 福代三華, 井出薫, 河野裕美, 依田憲, 高橋晋, 飛龍志津子, 河原吉伸, "生物集団の軌跡から相互作用の規則を学習するための拡張行動モデル," 第24回 情報論的学習理論ワークショップ (IBIS 2021), オンライン, 2021/11/12. |
| 22 | 儀保伸吾, 黒澤元, "時系列解析による冬眠時体温変動パターンを決める規則の推定," 第4回冬眠休眠研究会, オンライン, 2022/2/4. |
| 23 | 加藤譲, 中尾裕也, "クープマン作用素に基づいた確率非線形振動子に対する位相振幅変数," 日本物理学会第77回年次大会（2022年）, オンライン, 2022/3/15. |
| 24 | 多賀圭理, 加藤譲, 河原吉伸, 山崎義弘, 中尾裕也, "エレメンタリーセルオートマトンのKoopmanスペクトル解析," 日本物理学会第77回年次大会（2022年）, オンライン, 2022/3/17. |
| 25 | Shohei Takata, Yuzuru Kato, Hiroya Nakao, "Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction," APS March Meeting 2022, オンライン, 2022/3/17. |
| 26 | Yuzuru Kato, Hiroya Nakao, "Coherence resonance in open quantum systems," APS March Meeting 2022, オンライン, 2022/3/17. |
| 27 | Jinjie Zhu, Yuzuru Kato, Hiroya Nakao, "Phase reduction theory of coherent excitable systems," APS March Meeting 2022, オンライン, 2022/3/17. |
| 28 | 深谷 法良, Vladimir. Georgiev, 池田 正弘, "点相互作用を持つ2次元非線形シュレディンガー方程式の定在波解の安定性と不安定," 日本数学会・2022年度年会, 埼玉大, 2022/3/30. |
| 29 | 浜野 大, 池田 正弘, "逆冪乗型ポテンシャルをもつ非線形シュレディンガー方程式の爆発解について," 日本数学会・2022年度年会, 埼玉大, 2022/3/30. |
ポスター発表
| No | |
|---|---|
| 1 | 加藤 譲, 中尾裕也, "子連続測定とフィードバック制御を用いた量子同期強度の向上," 第44回量子情報技術研究会, オンライン, 2021/5/24. |
| 2 | 儀保伸吾, 黒澤元, "波形の歪みが概日周期の長さや同期に与える影響の解析," 第28回日本時間生物学会学術大会, 沖縄県市町村自治会館, 2021/11/20. |