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Paper · arXiv

When Flat Minima Fail: Characterizing INT4 Quantization Collapse After FP32 Convergence

Post-training quantization (PTQ) assumes that a well-converged model is a quantization-ready model. We show this assumption fails in a structured, measurable, and previously uncharacterized way. Using a calibration-free per-group INT4 probe applied to all 154 publicly available Pythia-160m training checkpoints, we identify a three-phase divergence structure: a rapid-learning phase where both FP32 perplexity and quantization robustness improve together, a meta-stable plateau lasting roughly 70,000 steps where FP32 perplexity stagnates but INT4 gap remains bounded, and an explosive divergence phase where the INT4 gap compounds from 11% to 517% while FP32 perplexity barely moves. Critically,...

AuthorsMarcus Armstrong
Primary categorycs.LG
Published16 April 2026
Last updated at source16 April 2026
cs.LG
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