3 papers
physics.soc-ph2026
Recursive Hierarchical Networks and the Law of Functional Evolution: A Universal Framework for Complex Systems
Hui Li, Yanxin Li
Understanding and predicting the evolution of across complex systems remains a fundamental challenge due to the absence of unified and computationally testable frameworks. Here we…
cond-mat.stat-mech2025
Phase transition revealed by eigen microstate entropy
Teng Liu, Xuezhi Niu, Mingli Zhang +9
We introduce the eigen microstate entropy (), a novel metric of complexity derived from the probabilities of statistically independent eigen microstates. After estab…
stat.ML2025
Generalization Bounds for Equivariant Networks on Markov Data
Hui Li, Zhiguo Wang, Bohui Chen +1
Equivariant neural networks play a pivotal role in analyzing datasets with symmetry properties, particularly in complex data structures. However, integrating equivariance with Mark…