3 papers
cs.LG2026
Network Dynamics-Based Framework for Understanding Deep Neural Networks
Yuchen Lin, Yong Zhang, Sihan Feng +1
Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning. In this work, we propose a theoretical framework to…
cond-mat.stat-mech2025
Multi-Type Instability Processes of Periodic Orbits in Nonlinear Chains
Weicheng Fu, Zhen Wang, Yong Zhang +1
Nonlinear normal modes are periodic orbits that survive in nonlinear many-body Hamiltonian systems, and their instability is crucial for relaxation dynamics. Here, we study the ins…
cond-mat.stat-mech2024
A general multi-wave quasi-resonance theory for lattice energy diffusion
Wei Lin, Weicheng Fu, Zhen Wang +2
In this letter, a multi-wave quasi-resonance framework is established to analyze energy diffusion in classical lattices, uncovering that it is fundamentally determined by the chara…