Training methods
arxiv arXiv cs.AI · 20h ago

P4IR Framework Improves LLM-Based Code Compliance Accuracy

P4IR, a two-stage framework, uses supervised fine-tuning and Group Relative Policy Optimization to enhance large language model-based automated code compliance systems. It reduces tree edit and token-level Levenshtein distances by up to 23.8% and 38.6% respectively, outperforming leading LLMs like Claude Opus, GPT-5.2, and GLM-4.7 in zero-shot settings with few-shot prompting, and reduces false positives by a small but statistically significant margin.

arxiv arXiv cs.LG · 1d ago

BIPC Framework Accelerates Mixed-Integer Optimization with Machine Learning

The BIPC framework reduces solution time for large-scale mixed-integer programs by identifying a backdoor subset of variables that drive computational complexity. Using supervised learning, it predicts backdoor variable values and intervals, then solves a reduced problem with these predictions, achieving significant speedups with minimal quality loss. This enables rapid, high-quality solutions under parameter perturbations in real-world systems like power and supply chains.

arxiv arXiv cs.LG · 1d ago

Muon Optimizer: Power, Limits, and a River-Valley Theory

A new trajectory-level theory reveals Muon accelerates early in optimization along the information-bearing river direction but converges slowly near the bottom, unlike gradient descent. With momentum, Muon's orthogonalized updates remove residual scale information, leading to overshooting and oscillation. The study advocates a two-stage approach—using Muon early and switching to gradient descent-like optimizers later—for improved LLM training performance.

arxiv arXiv cs.LG · 1d ago

GOMA Achieves First Stochastic Convergence Guarantee for Variational Inequalities

The paper introduces GOMA, a family of first-order methods for monotone variational inequalities. In the stochastic setting with unbounded variance, a simplified variant of GOMA achieves an O(1/\sqrt{k}) last-iterate convergence rate on the squared gradient norm, without variance reduction or growing batches. This is the first such guarantee for unconstrained stochastic monotone Lipschitz variational inequalities.