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BackSlash: Rate Constrained Optimized Training of Large Language Models

ICML 2025 · Architectures and efficiency › Pruning and efficient tuning · approach: Layer-wise pruning of LLMs · 0 citations (OpenAlex)

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Proposes BackSlash, a rate-distortion-optimized training method that adds a generalized-Gaussian rate penalty to the loss so LLM weights become compressible with exp-Golomb coding during training.

Problem

Model compression of LLMs is usually applied after training; the paper targets compressing parameters during training to trade off accuracy and model size for edge deployment.

Approach

Adds a discretized generalized-Gaussian rate term (sum of |theta|^nu with a dynamically estimated shape nu and soft gradient clipping) to the training loss, and entropy-codes the resulting parameter indices with exp-Golomb (k=0) codes after value mapping.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply rate-constrained BackSlash trainingBERT · Sentiment analysisEG code length: 7.31 -> 2.64Helped
Apply rate-constrained BackSlash trainingGPT-2 · Sentiment analysisaccuracy: 85.92% -> 88.73%Helped
Apply rate-constrained BackSlash trainingLlama-3 · Sentiment analysisaccuracy: 86.09% -> 86.93%Helped
Apply rate-constrained BackSlash trainingGemma-2 · Sentiment analysisaccuracy: 86.95% -> 85.86%Hurt
Apply rate-constrained BackSlash trainingBERT · SQuADnext token accuracy: 99.97% -> 99.97%No clear effect
Apply rate-constrained BackSlash trainingBERT · WMT-19next token accuracy: 99.96% -> 99.95%Hurt
Replace adaptive DGGR with L0.5 regularization (ablation)BackSlash · BERT sentiment analysisEG code length: 1.37 -> 2.90Hurt
Replace adaptive DGGR with L0.5 regularization (ablation)BackSlash · BERT sentiment analysisaccuracy: 91.18% -> 91.88%Helped
Replace adaptive DGGR with L1 regularization (ablation)BackSlash · BERT sentiment analysisaccuracy: 91.18% -> 90.65%Hurt
Replace adaptive DGGR with L2 regularization (ablation)BackSlash · BERT sentiment analysisaccuracy: 91.18% -> 88.29%Hurt
Replace adaptive DGGR with L2 regularization (ablation)BackSlash · BERT sentiment analysisEG code length: 1.37 -> 1.16Helped

Surprising findings

Limitations

Experimental setup

Datasets: IMDB Enron-Spam 20 Newsgroups SQuAD WMT-19

Benchmarks: IMDB Enron-Spam 20 Newsgroups SQuAD WMT-19

Metrics: accuracy average code length (bits) compression rate vs fixed-length coding next token accuracy

Baselines: unconstrained training with EG coding unconstrained training with Huffman coding DGGR vs L0.5 regularization L1 regularization L2 regularization

Builds on: rate-distortion optimization exp-Golomb codes Huffman coding

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