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FeaturedAIResearch#PAC-Bayes#Requential Coding#Large Language Models#Model Compression#Generalization Theory

Requential Coding: Pushing the Limits of Model Compression with Self-Generated Training Data

arXiv AI/CL/LG(论文)T2
01:5807/14, 01:58 AMPaperRead the original ↗Export MD ↓

Score

79
Information gain9 ×0.3

提出全新压缩框架,引入教师-学生选择编码思路,突破现有压缩方法局限,信息增量高。

Content quality9 ×0.2

理论推导严谨,实验分析深入,结果具有说服力,结构清晰。

Practical value8 ×0.2

对大型模型的压缩和泛化分析有重要指导意义,但直接实用化尚需进一步工程转化。

Timeliness10 ×0.15

论文发布仅一周,属于最新研究成果,时效性满分。

Source reliability8 ×0.15

来自arXiv预印本,但作者机构包括CU Boulder和UT Austin等知名高校,可信度较高。

Base 88 × T2 Source weight ×0.9 = 79

Curation line 70Selected

Why selected

The paper presents a highly novel method with deep theoretical insights, achieving significant improvements in generalization bounds for large models, demonstrating strong academic value.

AI commentary

「This paper's Requential Coding idea is remarkably clever, achieving impressive compression results while unifying compression and generalization analysis. For researchers in model compression, large model generalization, or data quality quantification, this is a must-read recent work.」

Quick overview

This paper introduces Requential Coding, a compression framework where a teacher model selects training samples for the student model. Unlike parameter-based methods or prequential coding that encode exact data sequences, Requential Coding records only the selections where teacher and student disagree, making code length independent of parameter count and data entropy, often orders of magnitude shorter, with the advantage growing with scale. It reveals compression phenomena unseen by prior methods: under fixed loss, larger models and ensembles compress to much smaller sizes. Plugged into a PAC-Bayes bound, it yields state-of-the-art generalization guarantees for billion-parameter LLMs, tightening with scale in the compute-optimal regime. It also predicts gradual overfitting across epochs and isolates learnable information from random noise, showing lower-entropy text holds far more learnable structure than higher-entropy images.

  • Requential Coding selects training samples based on teacher-student disagreement, achieving code length independent of parameter count and data entropy.
  • The method compresses larger models and ensembles more, revealing compression phenomena invisible to parameter quantization.
  • It provides state-of-the-art generalization guarantees for billion-parameter LLMs in a PAC-Bayes bound, tightening with scale.
  • It distinguishes learnable information from random content in datasets, showing lower-entropy text has far more learnable structure than higher-entropy images.

Full text

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Compression is fundamental to intelligence. Traditional parameter-based methods like quantization produce code lengths that scale linearly with model size, insensitive to actual information stored. Prequential coding avoids parameter scaling but encodes the exact data sequence, yielding large codes for high-entropy data. Requential Coding's core innovation: a teacher model selects training samples from the student's own distribution; the student only encodes these selections, costing bits only where teacher and student disagree. Under fixed loss, larger models and ensembles compress to smaller sizes because they learn better and disagree less—a phenomenon invisible to parameter compression. When plugged into a PAC-Bayes bound, it yields the tightest generalization guarantees for billion-parameter LLMs, tightening further with model scale and compute-optimal training. Additionally, Requential Coding predicts gradual overfitting across multiple epochs and naturally decomposes a dataset into learnable and random parts: for noisy data like images, code length decreases slowly; for more structured data like natural language, learnable information accounts for a larger proportion. This work provides a unified new tool for model compression, generalization theory, and data quality assessment.

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