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Masahiro Ikeda
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Coupling-based invertible neural networks are universal diffeomorphism approximators
T Teshima, I Ishikawa, K Tojo, K Oono, M Ikeda, M Sugiyama
Advances in Neural Information Processing Systems 33, 3362-3373, 2020
1302020
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
M Ikeda, M Sobajima
Mathematische Annalen 372, 1017-1040, 2018
932018
Small data blow-up of L^2-solution for the nonlinear Schrödinger equation without gauge invariance
M Ikeda, Y Wakasugi
Differential and Integral Equations 26 (11/12), 1275-1285, 2013
822013
Blow-up phenomena of semilinear wave equations and their weakly coupled systems
M Ikeda, M Sobajima, K Wakasa
Journal of Differential Equations 267 (9), 5165-5201, 2019
642019
Hypergraph clustering based on pagerank
Y Takai, A Miyauchi, M Ikeda, Y Yoshida
Proceedings of the 26th ACM SIGKDD International Conference on Knowledge …, 2020
562020
Small data blow-up of L (2) or H (1)-solution for the semilinear Schrödinger equation without gauge invariance
M Ikeda, T Inui
Journal of Evolution Equations 15 (3), 571-581, 2015
562015
Universal approximation property of neural ordinary differential equations
T Teshima, K Tojo, M Ikeda, I Ishikawa, K Oono
arXiv preprint arXiv:2012.02414, 2020
552020
A note on the lifespan of solutions to the semilinear damped wave equation
M Ikeda, Y Wakasugi
Proceedings of the American Mathematical Society 143 (1), 163-171, 2015
552015
Lifespan of solutions to the damped wave equation with a critical nonlinearity
M Ikeda, T Ogawa
Journal of Differential Equations 261 (3), 1880-1903, 2016
532016
Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
M Ikeda, M Sobajima
Nonlinear Analysis 182, 57-74, 2019
502019
Some non-existence results for the semilinear Schrödinger equation without gauge invariance
M Ikeda, T Inui
Journal of Mathematical Analysis and Applications 425 (2), 758-773, 2015
482015
Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential
M Ikeda, T Inui
Analysis & PDE 10 (2), 481-512, 2017
462017
- estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
M Ikeda, T Inui, M Okamoto, Y Wakasugi
arXiv preprint arXiv:1710.06538, 2017
402017
Universal approximation property of invertible neural networks
I Ishikawa, T Teshima, K Tojo, K Oono, M Ikeda, M Sugiyama
Journal of Machine Learning Research 24 (287), 1-68, 2023
352023
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
M Ikeda, T Inui, Y Wakasugi
Nonlinear Differential Equations and Applications NoDEA 24, 1-53, 2017
322017
Metric on nonlinear dynamical systems with Perron-Frobenius operators
I Ishikawa, K Fujii, M Ikeda, Y Hashimoto, Y Kawahara
Advances in Neural Information Processing Systems 31, 2018
312018
Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity
K Fujiwara, M Ikeda, Y Wakasugi
Funkcialaj Ekvacioj 62 (2), 157-189, 2019
292019
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
N Fukaya, V Georgiev, M Ikeda
Journal of Differential Equations 321, 258-295, 2022
272022
Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case
M Ikeda, Y Wakasugi
Proceedings of the American Mathematical Society 148 (1), 157-172, 2020
262020
Finding Cheeger cuts in hypergraphs via heat equation
M Ikeda, A Miyauchi, Y Takai, Y Yoshida
arXiv preprint arXiv:1809.04396, 2018
25*2018
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