Author

Heng Yang

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Preprint Sep 2026

Trajectory Optimization via Schr\"{o}dinger Bridge Sampling

We take a new look at the relation between finite-horizon trajectory optimization and Schr\"odinger bridge sampling. Viewed as inference, KL-regularized trajectory optimization is solved by sampling from a Gibbs--Boltzmann distribution whose energy is the trajectory cost, and the adjoint Schr\"odinger bridge sampler (A...

Mattia Mosso, Yang Liu, Heng Yang · 0 citations

#artificial intelligence Preprint Aug 2026

Adam at the Edge of Stability: Adaptive Feedback, Provable Oscillation, and Gradient Reversal

The edge-of-stability (EoS) phenomenon of full-batch Adam has been widely observed, yet its underlying dynamical mechanism remains poorly understood. In this paper, we identify Adam's second-moment adaptation as a negative-feedback mechanism that drives the dynamics toward the stability boundary. We characterize this m...

Yiman Fong, Heng Yang · 1 citation

Preprint Sep 2026

Spectral Deflation for Factorization-Free Matrix Filtering in Muon and Semidefinite Programming

GPU implementations of the Muon optimizer and of first-order semidefinite programming (SDP) solvers share one computational pattern: a matrix factorization is replaced by a fixed-depth polynomial filter applied after normalization. When a few dominant spectral components carry most of the input's scale, normalization p...

Hao-Ran Sun, Shu-Cheng Kang, Heng Yang · 0 citations