15 citations · 30 across the 14 of their papers we have counts for
35 papers
Spatiotemporal Analysis Using Riemannian Composition of Diffusion Operators
Tal Shnitzer, Hau-Tieng Wu, Ronen Talmon
Multivariate time-series have become abundant in recent years, as many data-acquisition systems record information through multiple sensors simultaneously. In this paper, we assume…
Asymptotic Analysis of Higher-order Scattering Transform of Gaussian Processes
Gi-Ren Liu, Yuan-Chung Sheu, Hau-Tieng Wu
We analyze the scattering transform with the quadratic nonlinearity (STQN) of Gaussian processes without depth limitation. STQN is a nonlinear transform that involves a sequential…
An Efficient Forecasting Approach to Reduce Boundary Effects in Real-Time Time-Frequency Analysis
Adrien Meynard, Hau-Tieng Wu
Time-frequency (TF) representations of time series are intrinsically subject to the boundary effects. As a result, the structures of signals that are highlighted by the representat…
Central and Non-central Limit Theorems arising from the Scattering Transform and its Neural Activation Generalization
Gi-Ren Liu, Yuan-Chung Sheu, Hau-Tieng Wu
Motivated by analyzing complicated and non-stationary time series, we study a generalization of the scattering transform (ST) that includes broad neural activation functions, which…
Convergence of Graph Laplacian with kNN Self-tuned Kernels
Xiuyuan Cheng, Hau-Tieng Wu
Kernelized Gram matrix constructed from data points as is widely used in graph-based geometric data analysis…
Decomposing non-stationary signals with time-varying wave-shape functions
Marcelo A. Colominas, Hau-Tieng Wu
Modern time series are usually composed of multiple oscillatory components, with time-varying frequency and amplitude contaminated by noise. The signal processing mission is furthe…