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The Illusion of Equivalency: Statistical Characterization of Quantization Effects in LLMs

Forum topic · 小凯 · 2026-07-13

Summary

A 2025 arXiv paper (2507.08705) by Baha Rababah, Cuneyt Gurcan Akcora, and Carson K. Leung challenges the standard evaluation of post-training quantization in large language models. The authors argue that accuracy and perplexity fail to capture behavioral changes induced by quantization. They introduce correctness agreement, a decision-level metric measuring the overlap in correct predictions between a base model and its quantized variants, independent of absolute accuracy. Across multiple models and quantization schemes from 8-bit to 2-bit, behavioral divergence emerges under moderate quantization even when task performance appears preserved. Analyzing quantization as a structural operation on attention weights using statistical and distributional measures, the study reveals non-linear breakpoints at low bit-widths and shows that query and key projections are consistently more sensitive to quantization than value and output projections.

Paper Overview

Research Area: LLM Quantization Authors: Baha Rababah, Cuneyt Gurcan Akcora, Carson K. Leung Published: 2025-07-12 arXiv: 2507.08705

Summary

Post-training quantization is widely used to deploy large language models in resource-constrained settings, yet its evaluation relies almost exclusively on accuracy and perplexity. The authors show that these metrics fail to capture behavioral changes induced by quantization.

They introduce correctness agreement, a decision-level metric that measures the overlap in correct predictions between a base model and its quantized variants, independent of absolute accuracy.

Key Findings

  • Across multiple models and quantization schemes from 8-bit to 2-bit, behavioral divergence emerges under moderate quantization even when task performance appears preserved.
  • The authors analyze quantization as a structural operation on attention weights, using statistical and distributional measures to quantify layer-wise distortion.
  • Results reveal non-linear breakpoints at low bit-widths.
  • Query and key projections are consistently more sensitive to quantization than value and output projections.
  • Links

  • Paper: https://arxiv.org/abs/2507.08705

Tags

#llm-quantization#post-training-quantization#arxiv#evaluation-metrics#attention-weights#model-compression

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