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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…
math.DS2024
On the Synchronization Analysis of a Strong Competition Kuramoto Model
Chun-Hsiung Hsia, Chung-En Tsai
When modeling the classical Kuramoto model, one of the key features is the tendency to synchronize. Accordingly, the most well-adopted choice of the coupling function is the sine f…
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…