Yuka Hashimoto, Fuyuta Komura, and Masahiro Ikeda, Hilbert C*-module for analyzing structured data, Matrix and Operator Equations, pp 633-659, 2023.
Yuka Hashimoto and Takashi Nodera, A preconditioning technique for Krylov subspace methods in RKHSs, J. Comput. Appl. Math., 415: 114490, 2022.
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, and Yoshinobu Kawahara, Reproducing kernel Hilbert C*-module and kernel mean embeddings, JMLR, 22, 267:1-56, 2021.
Yuka Hashimoto and Takashi Nodera, Krylov subspace methods for estimating operator-vector multiplications in Hilbert spaces, Japan J. Indust. Appl. Math, 38, pp781-803, 2021.
Yuka Hashimoto and Takashi Nodera, Inexact rational Krylov method for evolution equations, BIT Numer. Math., 61, pp473-502, 2021 (Correction to: Inexact rational Krylov method for evolution equations, BIT Numer. Math., 61, 1483-1487, 2021).
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Yoichi Matsuo, and Yoshinobu Kawahara, Krylov subspace method for nonlinear dynamical systems with random noise, JMLR, 21, 172: 1-29, 2020.
Yuka Hashimoto and Takashi Nodera, Shift-invert rational Krylov method for an operator φ-function of an unbounded linear operator, Japan J. Indust. Appl. Math, 36, pp421-433, 2019.
Yuka Hashimoto and Takashi Nodera, Double-shift-invert Arnoldi method for computing the matrix exponential, Japan J. Indust. Appl. Math, 35, pp727-738, 2018.
Yuka Hashimoto and Takashi Nodera,Shift-invert rational Krylov method for evolution equations,18th Computational Techniques and Applications Conference,ANZIAM Journal,Vol. 58,pp. C149-C161, 2017.
Yuka Hashimoto and Takashi Nodera,Inexact shift-invert Arnoldi method for evolution equations,ANZIAM Journal,Vol. 58,pp. E1-E27,2016.
Yuka Hashimoto, Masahiro Ikeda, and Hachem Kadri, C*-Algebraic Machine Learning ― Moving in a New Direction (Position Paper), accepted for ICML 2024.
Yuka Hashimoto, Sho Sonoda, Isao Ishikawa, Atsushi Nitanda, and Taiji Suzuki, Koopman-based generalization bound: New aspect for full-rank weights, ICLR 2024.
Yuka Hashimoto, Masahiro Ikeda, and Hachem Kadri, Deep learning with kernels through RKHM and the Perron-Frobenius operator, NeurIPS 2023.
Sho Sonoda, Yuka Hashimoto, Isao Ishikawa, and Masahiro Ikeda, Deep Ridgelet transform: Voice with Koopman operator proves universality of formal deep networks, NeurIPS 2023 Workshop on Symmetry and Geometry in Neural Representations.
Yuka Hashimoto, Masahiro Ikeda, and Hachem Kadri, Learning in RKHM: a C*-algebraic twist for kernel machines, AISTATS 2023.
Yuka Hashimoto, Zhao Wang, and Tomoko Matsui, C*-algebra net: a new approach generalizing neural network parameters to C*-algebra, ICML 2022. [code]
Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yuka Hashimoto, and Yoshinobu Kawahara, Metric on nonlinear dynamical systems with Koopman operators, NeurIPS 2018.