17 citations · 39 across the 18 of their papers we have counts for
19 papers
Explainable and Class-Revealing Signal Feature Extraction via Scattering Transform and Constrained Zeroth-Order Optimization
Naoki Saito, David Weber
We propose a new method to extract discriminant and explainable features from a particular machine learning model, i.e., a combination of the scattering transform and the multiclas…
A Structurally Coherent Spatial Phase Estimate
Brian Knight, Naoki Saito
The monogenic signal (MS) was introduced by Felsberg and Sommer, and independently by Larkin under the name vortex operator. It is a two-dimensional (2D) analog of the well-known a…
Multiscale Hodge Scattering Networks for Data Analysis
Naoki Saito, Stefan C. Schonsheck, Eugene Shvarts
We propose new scattering networks for signals measured on simplicial complexes, which we call \emph{Multiscale Hodge Scattering Networks} (MHSNs). Our construction builds on multi…
Multiscale Transforms for Signals on Simplicial Complexes
Naoki Saito, Stefan C. Schonsheck, Eugene Shvarts
Our previous multiscale graph basis dictionaries/graph signal transforms -- Generalized Haar-Walsh Transform (GHWT); Hierarchical Graph Laplacian Eigen Transform (HGLET); Natural G…
On a Nonlocal Integral Operator Commuting with the Laplacian and the Sturm-Liouville Problem I: Low Rank Perturbations of the Operator
Lotfi Hermi, Naoki Saito
We reformulate all general real coupled self-adjoint boundary value problems as integral operators and show that they are all finite rank perturbations of the free space Green's fu…
The Scattering Transform Network with Generalized Morse Wavelets and Its Application to Music Genre Classification
Wai Ho Chak, Naoki Saito, David Weber
We propose to use the Generalized Morse Wavelets (GMWs) instead of commonly-used Morlet (or Gabor) wavelets in the Scattering Transform Network (STN), which we call the GMW-STN, fo…