20 citations · 59 across the 18 of their papers we have counts for
3 papers · 1 filter
Finding Cheeger Cuts in Hypergraphs via Heat Equation
Masahiro Ikeda, Atsushi Miyauchi, Yuuki Takai +1
Cheeger's inequality states that a tightly connected subset can be extracted from a graph using an eigenvector of the normalized Laplacian associated with . More specificall…
Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators
Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda +2
The development of a metric for structural data is a long-term problem in pattern recognition and machine learning. In this paper, we develop a general metric for comparing nonline…
The global optimum of shallow neural network is attained by ridgelet transform
Sho Sonoda, Isao Ishikawa, Masahiro Ikeda +4
We prove that the global minimum of the backpropagation (BP) training problem of neural networks with an arbitrary nonlinear activation is given by the ridgelet transform. A series…