3 papers
cs.LG2023★ 1 cited
Deep Ridgelet Transform: Voice with Koopman Operator Proves Universality of Formal Deep Networks
Sho Sonoda, Yuka Hashimoto, Isao Ishikawa +1
We identify hidden layers inside a deep neural network (DNN) with group actions on the data domain, and formulate a formal deep network as a dual voice transform with respect to th…
math.AP2023
Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain
Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi +1
Lifespan estimates for semilinear damped wave equations of the form in a two dimensional exterior domain endowed with the Dirichlet boundary co…
cond-mat.mtrl-sci2010
Linear Algebra and Charge Self-consistent Tight-binding Method for Large-scale Electronic Structure Calculations
T. Fujiwara, S. Yamamoto, T. Hoshi +7
We review our recently developed electronic structure calculation methods used for the dynamics of large-scale solids or liquids with an efficient algorithm for large scale simulta…