3 papers
cs.LG2025
Dynamical Properties of Tokens in Self-Attention and Effects of Positional Encoding
Duy-Tung Pham, An The Nguyen, Viet-Hoang Tran +4
This paper investigates the dynamical properties of tokens in pre-trained Transformer models and explores their application to improving Transformers. To this end, we analyze the d…
math.FA2025
Weak Optimal Entropy Transport Problems
Nhan-Phu Chung, Thanh-Son Trinh
In this paper, we introduce weak optimal entropy transport problems that cover both optimal entropy transport problems and weak optimal transport problems introduced by Liero, Miel…
math.AP2024
Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure
Nhan-Phu Chung, Thanh-Son Trinh
We consider a class of time-fractional porous medium equations with nonlocal pressure. We show the existence of their weak solutions by proposing a JKO scheme for modified Wasserst…