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math.OC2025
Log-Averaged Mirror Prox for Fast, Large-Scale Optimal Transport in Linear Space
Matthew X. Burns, Jiaming Liang
We propose Log-Averaged Mirror Prox (LAMP), a linear-space primal-dual method for large-scale optimal transport. LAMP implements primal mirror prox updates by tracking an averaged…
math.OC2025
GPU-Accelerated First-Order Method with Randomized Sampling for Binary Integer Programs
Ningji Wei, Jiaming Liang
We present a scalable, GPU-accelerated algorithmic framework for large binary integer programs that operates end-to-end with minimal synchronization overhead. The proposed method c…
math.OC2025
Unifying restart accelerated gradient and proximal bundle methods
Jiaming Liang
This paper presents a novel restarted version of Nesterov's accelerated gradient method and establishes its optimal iteration-complexity for solving convex smooth composite optimiz…