[HTML][HTML] Convergence rate analysis in limit theorems for nonlinear functionals of the second Wiener chaos
GR Liu - Stochastic Processes and their Applications, 2024 - Elsevier
This paper analyzes the distribution distance between random vectors from the analytic
wavelet transform of squared envelopes of Gaussian processes and their large-scale limits …
wavelet transform of squared envelopes of Gaussian processes and their large-scale limits …
Asymptotic analysis of higher-order scattering transform of Gaussian processes
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 …
processes without depth limitation. STQN is a nonlinear transform that involves a sequential …
Central and noncentral limit theorems arising from the scattering transform and its neural activation generalization
Motivated by the analysis of complicated time series, we examine a generalization of the
scattering transform that includes broad neural activation functions. This generalization is …
scattering transform that includes broad neural activation functions. This generalization is …
Gaussian approximation for the moving averaged modulus wavelet transform and its variants
The moving average of the complex modulus of the analytic wavelet transform provides a
robust time-scale representation for signals to small time shifts and deformation. In this work …
robust time-scale representation for signals to small time shifts and deformation. In this work …