4 citations · 4 across the 5 of their papers we have counts for
5 papers
Tail Bounds for Functions of Weighted Tensor Sums Derived from Random Walks on Riemannian Manifolds
Shih-Yu Chang
This paper presents significant advancements in tensor analysis and the study of random walks on manifolds. It introduces new tensor inequalities derived using the Mond-Pecaric met…
Chernoff Bounds for Tensor Expanders on Riemannian Manifolds Using Graph Laplacian Approximation
Shih-Yu Chang
This paper addresses the advancement of probability tail bound analysis, a crucial statistical tool for assessing the probability of large deviations of random variables from their…
Hanson-Wright Inequality for Random Tensors under Einstein Product
Shih Yu Chang
The Hanson-Wright inequality is an upper bound for tails of real quadratic forms in independent subgaussian random variables. In this work, we extend the Hanson-Wright inequality f…
T-product Tensor Expander Chernoff Bound
Shih Yu Chang
In probability theory, the Chernoff bound gives exponentially decreasing bounds on tail distributions for sums of independent random variables and such bound is applied at differen…
Tensor Expander Chernoff Bounds
Shih Yu Chang
The Chernoff bound is an important inequality relation in probability theory. The original version of the Chernoff bound is to give an exponential decreasing bound on the tail dist…