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ORCIDIsao Ishikawa
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2020 – today
- 2024
[j5]Motoya Ohnishi, Isao Ishikawa, Kendall Lowrey, Masahiro Ikeda, Sham M. Kakade, Yoshinobu Kawahara:
Koopman Spectrum Nonlinear Regulators and Efficient Online Learning. Trans. Mach. Learn. Res. 2024 (2024)- [c6]Yuka Hashimoto, Sho Sonoda, Isao Ishikawa, Atsushi Nitanda, Taiji Suzuki:
Koopman-based generalization bound: New aspect for full-rank weights. ICLR 2024 - [i24]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks. CoRR abs/2402.15984 (2024) - [i23]Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda, Yoshinobu Kawahara:
Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces. CoRR abs/2403.02524 (2024) - [i22]Isao Ishikawa:
Finite-dimensional approximations of push-forwards on locally analytic functionals and truncation of least-squares polynomials. CoRR abs/2404.10769 (2024) - [i21]Sho Sonoda, Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda:
Constructive Universal Approximation Theorems for Deep Joint-Equivariant Networks by Schur's Lemma. CoRR abs/2405.13682 (2024) - 2023
- [j4]Isao Ishikawa, Takeshi Teshima, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama:
Universal Approximation Property of Invertible Neural Networks. J. Mach. Learn. Res. 24: 287:1-287:68 (2023) - [j3]Hayato Chiba, Masahiro Ikeda, Isao Ishikawa:
Generalized Eigenvalues of the Perron-Frobenius Operators of Symbolic Dynamical Systems. SIAM J. Appl. Dyn. Syst. 22(4): 2825-2855 (2023) - [i20]Yuka Hashimoto, Sho Sonoda, Isao Ishikawa
, Atsushi Nitanda, Taiji Suzuki:
Koopman-Based Bound for Generalization: New Aspect of Neural Networks Regarding Nonlinear Noise Filtering. CoRR abs/2302.05825 (2023) - [i19]Sho Sonoda, Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda:
Deep Ridgelet Transform: Voice with Koopman Operator Proves Universality of Formal Deep Networks. CoRR abs/2310.03529 (2023) - [i18]Sho Sonoda, Hideyuki Ishi, Isao Ishikawa, Masahiro Ikeda:
Joint Group Invariant Functions on Data-Parameter Domain Induce Universal Neural Networks. CoRR abs/2310.03530 (2023) - 2022
- [c5]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis. ICML 2022: 20405-20422 - [c4]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Universality of Group Convolutional Neural Networks Based on Ridgelet Analysis on Groups. NeurIPS 2022 - [i17]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis. CoRR abs/2203.01631 (2022) - [i16]Isao Ishikawa, Takeshi Teshima, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama:
Universal approximation property of invertible neural networks. CoRR abs/2204.07415 (2022) - [i15]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Universality of group convolutional neural networks based on ridgelet analysis on groups. CoRR abs/2205.14819 (2022) - [i14]Motoya Ohnishi, Isao Ishikawa, Yuko Kuroki, Masahiro Ikeda:
Dynamic Structure Estimation from Bandit Feedback. CoRR abs/2206.00861 (2022) - 2021
- [j2]Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara:
Reproducing kernel Hilbert C*-module and kernel mean embeddings. J. Mach. Learn. Res. 22: 267:1-267:56 (2021) - [c3]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Ridge Regression with Over-parametrized Two-Layer Networks Converge to Ridgelet Spectrum. AISTATS 2021: 2674-2682 - [i13]Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara:
Reproducing kernel Hilbert C*-module and kernel mean embeddings. CoRR abs/2101.11410 (2021) - [i12]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Ghosts in Neural Networks: Existence, Structure and Role of Infinite-Dimensional Null Space. CoRR abs/2106.04770 (2021) - [i11]Motoya Ohnishi, Isao Ishikawa, Kendall Lowrey, Masahiro Ikeda, Sham M. Kakade, Yoshinobu Kawahara:
Koopman Spectrum Nonlinear Regulator and Provably Efficient Online Learning. CoRR abs/2106.15775 (2021) - 2020
- [j1]Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Yoichi Matsuo, Yoshinobu Kawahara:
Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise. J. Mach. Learn. Res. 21: 172:1-172:29 (2020) - [c2]Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama:
Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators. NeurIPS 2020 - [i10]Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara:
Analysis via Orthonormal Systems in Reproducing Kernel Hilbert C*-Modules and Applications. CoRR abs/2003.00738 (2020) - [i9]Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama:
Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators. CoRR abs/2006.11469 (2020) - [i8]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda:
Gradient Descent Converges to Ridgelet Spectrum. CoRR abs/2007.03441 (2020) - [i7]Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Yoshinobu Kawahara:
Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures. CoRR abs/2007.14698 (2020) - [i6]Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano:
A global universality of two-layer neural networks with ReLU activations. CoRR abs/2011.10225 (2020) - [i5]Takeshi Teshima, Koichi Tojo, Masahiro Ikeda, Isao Ishikawa, Kenta Oono:
Universal Approximation Property of Neural Ordinary Differential Equations. CoRR abs/2012.02414 (2020)
2010 – 2019
- 2019
- [i4]Isao Ishikawa, Akinori Tanaka, Masahiro Ikeda, Yoshinobu Kawahara:
Metric on random dynamical systems with vector-valued reproducing kernel Hilbert spaces. CoRR abs/1906.06957 (2019) - [i3]Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Yoichi Matsuo, Yoshinobu Kawahara:
Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise. CoRR abs/1909.03634 (2019) - 2018
- [c1]Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yuka Hashimoto, Yoshinobu Kawahara:
Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators. NeurIPS 2018: 2861-2871 - [i2]Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata:
Integral representation of the global minimizer. CoRR abs/1805.07517 (2018) - [i1]Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yuka Hashimoto, Yoshinobu Kawahara:
Metric on Nonlinear Dynamical Systems with Koopman Operators. CoRR abs/1805.12324 (2018)
Coauthor Index
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