3 papers
math.OC2024
Linear Convergence in Hilbert's Projective Metric for Computing Augustin Information and a Rényi Information Measure
Chung-En Tsai, Guan-Ren Wang, Hao-Chung Cheng +1
Consider the problems of computing the Augustin information and a Rényi information measure of statistical independence, previously explored by Lapidoth and Pfister (IEEE Informati…
cs.IT2024
Computing Augustin Information via Hybrid Geodesically Convex Optimization
Guan-Ren Wang, Chung-En Tsai, Hao-Chung Cheng +1
We propose a Riemannian gradient descent with the Poincaré metric to compute the order- Augustin information, a widely used quantity for characterizing exponential error behavio…
math.OC2023
Fast Minimization of Expected Logarithmic Loss via Stochastic Dual Averaging
Chung-En Tsai, Hao-Chung Cheng, Yen-Huan Li
Consider the problem of minimizing an expected logarithmic loss over either the probability simplex or the set of quantum density matrices. This problem includes tasks such as solv…