Journal Articles (refereed)
75. Takeshi Fukao, Masahiro Ikeda and Shun Uchida,
Heat equation on the hypergraph containing vertices with given data,
to appear in Journal of Mathematical Analysis and Applications.
[arxiv]
74. Hiroyuki Hirayama and Masahiro Ikeda,
Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities,
to appear in Calculus of Variations and Partial Differential Equations.
[arxiv].
73. Alex Hernandez Ardila, Masaru Hamano and Masahiro Ikeda,
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential,
to appear in Evolution Equations and Control Theory.
[arxiv].
72. Masahiro Ikeda, Leonardo Kosloff, César J. Niche and Gabriela Planas,
Argebraic decay rates for 3D Navier-Stokes and Navier-Stokes Coriolis equations in \dot{H}^{1/2}.
to appear in Journal of Evolution Equations.
[arxiv]
71. Motoya Ohnishi, Isao Ishikawa, Kendall Lowrey, Masahiro Ikeda, Sham Kakade, Yoshinobu Kawahara,
Koopman spectrum nonlinear regulator and provably efficient online learning,
to appear in Transactions on Machine Learning Research.
[arxiv]
70. Sho Sonoda, Isao Ishikawa and Masahiro Ikeda,
A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks.
to appear in Journal of Statistical Planning and Inference.
[arxiv]
69. Masahiro Ikeda,
Blow-up solution for the mass-critical fourth-order Schrödinger equation in one dimension,
to appear in Adv. Stud. Pure Math.
68. Masahiro Ikeda, Koichi Taniguchi and Yuta Wakasugi,
Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces,
to appear in Evolution Equations and Control Theory.
[arxiv].
67. Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi and Slim Tayachi,
Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations,
to appear in Mathematische Annalen.
[arxiv].
66. Masaru Hamano, Masahiro Ikeda and Shuji Machihara,
Blow-up solutions for non-scale-invariant nonlinear Schrödinger equation in one dimension,
Differential Equations & Applications, 16, (2024), 71--83.
[journal][arxiv].
65. Masaru Hamano, Masahiro Ikeda, Takahisa Inui and Ikkei Shimizu,
Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boudary
and the repulsive Dirac delta boundary on a star graph,
Partial Differential Equations and Applications, 5, (2024), 1--36.
[journal][arxiv].
64. Isao Ishikawa, Takeshi Teshima, Koichi Tojo, Kenta Oono, Masahiro Ikeda and Masashi Sugiyama,
Universal Approximation Property of Invertible Neural Networks,
Journal of Machine Learning Research 24, (2023), 1--68.
[journal][arxiv].
63. Masaru Hamano and Masahiro Ikeda,
Blow-up solutions to nonlinear Schrödinger equation with a potential,
Schrödinger Equation - Fundamentals Aspects and Potential Applications.
[journal]
62. Masaru Hamano and Masahiro Ikeda,
Scattering solutions to nonlinear Schrödinger equation with a long range potential,
Journal of Mathematical Analysis and Applications, (2023), 528, 127468.
[journal][arxiv]
61. Hayato Chiba, Masahiro Ikeda and Isao Ishikawa,
Generalized eigenvalues of the Perron-Frobenius operators of symbolic dynamical systems,
SIAM Journal on Applied Dynamical Systems, 22, (2023)
[journal][arxiv]
60. Masahiro Ikeda, Isao Ishikawa and Koichi Taniguchi,
Boundedness of composition operators on higher order Besov spaces in one dimension,
Math. Ann., 388, (2024), 4487--4510.
[journal][arxiv]
59. Masaru Hamano and Masahiro Ikeda,
Stability and instability of radial standing waves to NLKG equation with an inverse square potential,
Nonlinear Differential Equations and Applications NoDEA, (2023), 30: 39.
[journal][arxiv]
58. Tuan Anh Dao and Masahiro Ikeda,
Blow-up and lifespan estimate for the weakly coupled system of nonlinear damped wave equations outside a ball,
Journal of Evolution Equations, 23, (2023).
[journal][arxiv]
57. Masahiro Ikeda and Shun Uchida,
Nonlinear evolution equation associated with hypergraph Laplacian,
Mathematical Methods in the Applied Science, 46, (2023).
[journal][arxiv]
56. Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano,
Global universality of the two-layer neural networks with the k-rectified linear unit,
to appear in Journal of Functional Spaces.
[arxiv]
55. Masahiro Ikeda, Isao Ishikawa and Corbinian Schlosser,
Koopman and Perron-Frobenius operators on reproducing kernel Banach space,
Chaos 32, 123143 (2022).
[journal][arxiv]
54. Noboru Chikami, Masahiro Ikeda and Koichi Taniguchi,
Local well-posedness for the scale-critical semilinear heat equation with a weighted gradient term,
Advances in Harmonic Analysis and Partial Differential Equations, 63--75.
[journal]
53. Ikki Fukuda and Masahiro Ikeda,
Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation,
Journal of Differential Equations, 336, (2022), 275--314.
[journal][arxiv]
52. Masahiro Ikeda, Atsushi Miyauchi, Yuuki Takai and Yuchi Yoshida,
Finding Cheeger Cuts in Hypergraphs via Heat Equation,
Theoretical Computer Science, 930, 2022, 1--23.
[journal][arxiv]
51. Noboru Chikami, Masahiro Ikeda and Koichi Taniguchi,
Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in a critical
weighted Lebesgue space,
Nonlinear Analysis 222, (2022), 112931.
[journal][arxiv]
50. Noriyoshi Fukaya, Vladimir Georgiev and 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.
[journal][arxiv]
49. 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,
Journal of Mathematical Science, 266, (2022), 342--352.
[journal]
48. 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).
[journal][arxiv]
47. Masahiro Ikeda, Ziheng Tu and Kyohei Wakasa,
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass,
Evolution Equations and Control Theory 11, (2022), 515--536.
[journal][arxiv]
46. Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano,
Composition operators on reproducing kernel Hilbert spaces with analytic positive-definite functions,
Journal of Mathematical Analysis and Applications 511, (2022), 126048.
[journal][arxiv]
45. Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano,
Heaviside function as an activation function,
Journal of applied analysis, 29, (2023), 1--2.
[journal]
44. Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura and Yoshinobu Kawahara,
Reproducing kernel Hilbert C*-modules and kernel mean embeddings,
Journal of Machine Learning Research 22, (2021), 1--56.
[journal][arxiv]
43. Noboru Chikami, Masahiro Ikeda and Koichi Taniguchi,
Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation,
Nonlinearity 34, (2021), 8094.
[journal][arxiv]
42. 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.
[journal][arxiv]
41. Kazumasa Fujiwara, Masahiro Ikeda, and Yuta Wakasugi,
The Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping,
Nonlinear Differential Equations and Applications NoDEA, (2021) 28:63.
40. Hiroyuki Hirayama, Masahiro Ikeda and Tomoyuki Tanaka,
Well-posedness for the fourth-order Schrödinger equation with higher order derivative nonlinearities,
Nonlinear Differential Equations and Applications NoDEA. (2021) 28:46.
39. 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).
[journal]
38. Masahiro Ikeda, Jiayun Lin and Ziheng Tu,
Small data blow-up for the weakly coupled system of the generalized Tricomi equation with multiple propagation
speed. J. Evol. Equ 21. (2021).
[journal][arxiv]
37. Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano,
Boundedness of composition operators on Morrey Spaces and weak Morrey spaces,
Journal of Inequalities and Applications, 69 (2021).
[journal][arxiv]
36. Masahiro Ikeda, Tomoyuki Tanaka and Kyohei Wakasa,
Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution,
J. Diff. Equs., 270 (2021), 916--946.
[journal][arxiv]
35. Masahiro Ikeda and Motohiro Sobajima,
Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping,
Funkcialaj Ekvacioj, 64 (2021), 137--162.
[journal][arxiv]
34. Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Yoichi Matsuo and Yoshinobu Kawahara,
Krylov subspace method for nonlinear dynamical systems with random noises,
Journal of Machine Learning Research, 21, no.172 (2020), 1--29.
[journal][arxiv]
33. Masahiro Ikeda, Tomoyuki Tanaka and Kyohei Wakasa,
Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data,
Nonlinear Analysis, 200 (2020), 112057.
[journal][arxiv]
32. Masaru Hamano and Masahiro Ikeda,
Global well-posedness below the ground state for the Schrödinger equation with a potential,
Proc. Amer. Math. Soc., 148, (2020), 5193--5207.
[journal]
31. Masaru Hamano and Masahiro Ikeda,
Characterization of the ground state to the inter critical NLS with a linear potential by the viral functional,
Advances in Harmonic Analysis and Partial Differential Equations, 297--307.
[journal]
30. Masahiro Ikeda, Takahisa Inui and Mamoru Okamoto,
Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity,
Journal of Hyperbolic Differential Equations, 17, (2020) 295--354.
[journal] [arxiv]
29. Masahiro Ikeda, Mohamed Jleli and Bessem Samet,
On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions,
J. Diff. Equs., 269, (2020) 563-594.
[journal]
28. Masaru Hamano and Masahiro Ikeda,
Global dynamics below the ground state for the focusing Schrödinger equation with a potential,
Journal of Evolution Equations, 20, (2019), 1131--1172.
27. Masahiro Ikeda and Yuta Wakasugi,
Global well-posedness for the semi linear wave equation with time dependent damping in the overdamping case,
Proc. Amer. Math. Soc., 148, (2020), 157-172.
[journal][arxiv]
26. Masahiro Ikeda, Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping,
Advanced studies in Pure Mathematics, 85, 2020, The Role of Metrics in the Theory of Partial Differential Equations,160--170.
[journal]
25. Kazumasa Fujiwara, Masahiro Ikeda and Yuta Wakasugi,
Lifespan of solutions for a weakly coupled system of semi linear heat equations,
Tokyo Journal of Mathematics, 43, (2020), 163--180.
[journal][arxiv].
24. Masahiro Ikeda, Motohiro Sobajima and Yuta Wakasugi,
Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping,
Journal Hyperbolic Differential Equations, 16, (2019), 495-517.
[journal][arxiv].
23. Masahiro Ikeda, Motohiro Sobajima and Kyohei Wakasa,
Blow-up phenomena of semilinear wave equations and their weakly coupled systems,
Journal of Differential Equations, 267, (2019), 5165--5201.
[journal][arxiv].
22. Masahiro Ikeda and Motohiro Sobajima,
Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method,
Nonlinear Anal., 18 (2019), 57--74.
[journal][arxiv]
21. Masahiro Ikeda, Takahisa. Inui, Mamoru Okamoto and Yuta Wakasugi,
L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data,
Commun. Pure. Appl. Anal., 18 (2019), 1967-2008.
[journal]arxiv]
20. Masahiro Ikeda and Motohiro Sobajima,
Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain,
J. Math. Anal. Appl., 470 (2019), 318-326.
19. Masahiro Ikeda and Takahisa Inui,
The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping,
Diff. Int. Equs., 32, (2019), 1-36.
[journal][arxiv]
18. Kazumasa Fujiwara, Masahiro Ikeda and Yuta Wakasugi,
Estimate of lifespan and blow-up rates for the semilinear wave equation with time-dependent damping and subcritical nonlinearities,
Funkcial. Ekvac. 62 (2019), no.2, 5165-5201.
[journal][arxiv]
17. Masahiro Ikeda,
Asymptotics for the Schrödinger equation with a repulsive delta potential and a long-range dissipative nonlinearity,
Adv. Stud. Pure Math. Asymptotic Analysis for Nonlinear Dispersive and Wave Equations, (2019), 13-30.
[journal]
16. Masahiro Ikeda and Motohiro. Sobajima,
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data,
Math. Ann., 372, (2018), 1017-1040.
15. Kazumasa Fujiwara, Masahiro Ikeda and Yuta Wakasugi,
Blow-up of solutions for weakly coupled system of complex Ginzburg-Landau equations,
Electronic Journal of Differential Equations, (2017), no.196, 1-18.
[journal][arxiv]
14. Masahiro Ikeda, Takahisa Inui and Yuta Wakasugi,
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data,
Nonlinear Differential Equations and Applications NoDEA, 24, Article number 10 (2017).
[journal][arxiv]
13. Masahiro Ikeda and Takahisa Inui,
Global dynamics below the standing waves for a focusing nonlinear Schrödinger equation with a repulsive Dirac delta potential,
Analysis and PDE.,10, (2017), no.2, 481--512.
[journal][arxiv]
12. Masahiro Ikeda and Takahisa Inui,
A remark on non-existence results for the semi-linear damped Klein-Gordon equations,
RIMS K\^{o}ky\^{u}rook Bessatsu, B56 (2016), 11-30.
[journal]
11. Masahiro Ikeda, Nobu Kishimoto and Mamoru Okamoto,
Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity,
Journal of Functional Analysis, 271, (2016), 747-798.
[journal]
10. Masahiro Ikeda and Takayoshi Ogawa,
Lifespan of solutions to the damped wave equation with a critical nonlinearity,
Journal of Differential Equations, 261, (2016), 1880-1903.
[journal]
9. Masahiro Ikeda and Takahisa. Inui,
Small data blow-up of L^2 or H^1-solution for the semilinear Schrödinger equation without gauge invariance,
Journal of Evolution Equations, 15, (2015) 571-581.
[journal]
8. Masahiro Ikeda and Takahisa Inui,
Some non-existence results for the semi linear Schrödinger equation without gauge invariance,
J. Math. Anal. Appl., 425, (2015), 758-773.
[journal]
7. Masahiro Ikeda, Soichiro Katayama and Hideaki Sunagawa,
Null structure in a system of quadratic derivative nonlinear Schrödinger equation,
Annales Henri Poincar\'e, 16, Issue 2 (2015), 535-567.
6. Masahiro Ikeda and Yuta Wakasugi,
A note on the lifespan of solutions to the semi linear damped wave equation,
Proc. Amer. Math. Soc., 143, (2015), 163-171.
[journal][arxiv]
5. Masahiro Ikeda,
Final state problem for the Dirac-Klein-Gordon equations in two space dimensions,
Abst. Appl. Anal., 2013 (2013), Article ID 273959, 11pages.
[journal]
4. Masahiro Ikeda and Yuta Wakasugi,
Small data blow-up of L^2-solution for the nonlinear Schrödinger equation without gauge invariance,
Diff. Int. Equ., 26, (2013), 1275-1285.
[journal][arxiv]
3. Masahiro Ikeda, Akihiro Shimomura and Hideaki Sunagawa,
A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space
dimensions,
RIMS K\^oky\^uroku Bessatsu B33 (2012) 87-96.
[journal]
2. Masahiro Ikeda,
Modified scattering operator for the Hartree-Fock equation,
Nonlinear Anal., 75, (2012), 211-225.
[journal][arxiv]
1. Nakao Hayashi, Masahiro Ikeda and Pavel I. Naumkin,
Wave operator for the system of the Dirac-Klein-Gordon Equations,
Math. Methods. Appl. Sci, 34, (2011), 896-910.
[journal]
Conference Proceedings (refereed)
9. Yuka Hashimoto, Masahiro Ikeda and Kadri Hachem,
C*-Algebraic Machine Learning: Moving in a New Direction.
to appear in Proceedings of The 41th International Conference on Machine Learning (ICML), 2024,
[arxiv]
8. Yuka Hashimoto, Masahiro Ikeda and Kadri Hachem,
Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator,
Proc. of NeurIPS 2023
[conference][arxiv].
7. Yuka Hashimoto, Masahiro Ikeda and Kadri Hachem,
Learning in RKHM: a C*-Algebraic Twist for Kernel Machines,
Proceedings of The 26th International Conference on Artificial Intelligence and Statistics (AISTATS), PMLR, 692--708, 2023,
[arxiv].
6. Sho Sonoda, Isao Ishikawa and Masahiro Ikeda,
Universality of group convolutional neural networks based on ridgelet analysis on groups,
Proc. of NeurIPS 2022.
[arxiv].
5. Sho Sonoda, Isao Ishikawa and Masahiro Ikeda,
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis,
Proceedings of The 39th International Conference on Machine Learning (ICML), 2022,
[conference][arxiv].
4. Sho Sonoda, Isao Ishikawa and Masahiro Ikeda,
Gradient descent converges to ridgelet spectrum,
Proceedings of The 24th International Conference on Artificial Intelligence and Statistics (AISTATS), PMLR 130:2674--2682, 2021,
[conference][arxiv].
3. Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda and Masashi Sugiyama,
Coupling-based invertible neural networks are universal diffeomorphism approximator,
Proc. of NeurIPS 2020,
[conference][arxiv]
2. Yuuki Takai, Atsushi Miyauchi, Masahiro Ikeda and Yuichi Yoshida,
Hypergraph Clustering Based on PageRank,
26nd ACM SIGKDD Conference on Knowledge Discovery and Data mining (KDD), 2020, 1970--1978.
[conference][arxiv]
1. Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yuka Hashimoto and Yoshinobu Kawahara,
Metric on nonlinear dynamical systems with Perron-Frobenius operators,
Proc. of NeurIPS 2018. [conference][arxiv]
International Workshop (Refereed)
4. Sho Sonoda, Hideyuki Ishi, Isao Ishikawa and Masahiro Ikeda,
Joint group invariant functions on data-parameter domain induce universal neural networks,
to appear in NeurIPS 2023 Workshop: NeurReps,
[arxiv].
3. Sho Sonoda, Yuka Hashimoto, Isao Ishikawa and Masahiro Ikeda,
Deep Ridgelet transform: Voice with Koopman operator proves universality of formal deep networks,
to appear in NeurIPS 2023 Workshop: NeurReps,
[arxiv].
2. Takeshi Teshima, Koichi Tojo, Masahiro Ikeda, Isao Ishikawa, and Kenta Oono,
Universal approximation property of neural ordinary differential equations,
NeurIPS 2020 Workshop: Differential Geometry meets Deep Learning,
[workshop][arxiv]
1. Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara and Noboru Murata,
An explicit expression for the global minimizer network,
ICML 2018: Workshop on Theory of Deep Learning.
[workshop][arxiv]
Article in Book (Refereed)
1. Yuka Hashimoto, Fuyuta Komura and Masahiro Ikeda,
Hilbert C*-module for analyzing structured data,
Matrix and Operator Equations and Applications, Springer, 633--659.
[journal]
Paper in Japanese (refereed)
1. 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,
日本応用数理学会論文誌, Vol. 31, No. 2, Jun. 2021.
[journal]
Preprint
18. Hatano Naoya, Masahiro Ikeda, Ryota Kawasumi,
Boundedness of composition operators from Lorentz spaces to Orlicz.
[arxiv].
17. Hatano Naoya, Masahiro Ikeda,
Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces.
[arxiv].
16. Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi,
Boundedness of composition operator in Orlicz-Morrey spaces.
[arxiv].
15. Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda, Yoshinobu Kawahara,
Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces.
[arxiv]
14. Masahiro Ikeda, Megumi Sano, Koichi Taniguchi,
Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces.
[arxiv]
13. Jiayun Lin, Masahiro Ikeda,
Upper bound of the lifespan of the solution to the nonlinear fractional wave equations with time-dependent damping.
[arxiv]
12. Dimitrios Giannakis, Yuka Hashimoto, Masahiro Ikeda, Isao Ishikawa, Joanna Slawinska,
Koopman spectral analysis of skew-product dynamics on Hilbert C*-modules.
[arxiv]
11. Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi and Yuta Wakasugi,
Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain,
[arxiv].
10. Masaru Hamano and Masahiro Ikeda,
Scattering and blow-up dichotomy of the energy-critical nonlinear Schrödinger equation with the inverse-square potential,
[arxiv].
9. Masaru Hamano, Masahiro Ikeda, Takahisa Inui and Ikkei Shimizu,
A note on global dynamics for nonlinear Schrödinger equations on star graphs,
submitted.
8. Motoya Ohnishi, Isao Ishikawa, Yuko Kuroki and Masahiro Ikeda,
Dynamic structure estimation from Bandit Feedback,
[arxiv].
7. Yuka Hashimoto, Masahiro Ikeda, Hiroya Nakao and Yoshinobu Kawahara,
Data-driven operator-theoretic analysis of weak interactions in synchronized
network dynamics,
[arxiv].
6. Sho Sonoda, Isao Ishikawa, Masahiro Ikeda,
Ghosts in Neural Networks: Existence, Structure and Role of Infinite-Dimensional Null space,
[arxiv].
5. Ryo Oka, Naoki Matsumoto, Yuuki Takai, Masahiro Ikeda, Kunitake Kaneko,
Local community detection by random walk on hypergraph, submitted.
4. Masahiro Ikeda, Yu Kitabeppu, Yuuki Takai and Takato Uehara,
Coarse Ricci curvature of hypergraphs and its generalization.
[arxiv].
3. Isao Ishikawa, Akinori Tanaka, Masahiro Ikeda and Yoshinobu Kawahara,
Metric on Random Dynamical Systems with Vector-valued Reproducing Kernel Hilbert spaces.
[arxiv]
2. Masahiro Ikeda, Koichi Taniguchi,
Global well-posedness, dissipation and blow-up for semilinear heat equations in general energy spaces.
[arxiv]
1. Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata,
The global optimum of shallow neural network is attained by ridgelet transform.
[arxiv]