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Rethinking Sequence Compression with Test-time Regression

Sihan Yang, Jie Huang, Hanxuan Li, Yifan Guo, Weigao Sun, Yiran Zhong, Weiyang Liu · 2026 · arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.31574 · cited by 0 works (OpenAlex) · open-access PDF

Russian

Последовательная компрессия является фундаментальной операцией и критическим информационным барьером в эффективных языках и мультимодальных моделях, и, тем не менее, преобладающие подходы, основанные на группировке или изученных проекциях, остаются неэффективными. Мы пересматриваем последовательность компрессии через объектив регрессии тестового времени: входные токены определяют проблему регрессии, чьи сжатые коэффициенты образуют сжатое представление. Важно, что проблема регрессии изучается с конца на конец через обратное распространение, в то время как ее коэффициенты вычисляются эффективно в закрытой форме во время перехода вперед. Это приводит к TTR-Компрессору, общей альтернативе традиционной группировке и компрессии на

Machine translation (Meta M2M100); the English original follows.

Abstract

Sequence compression is a fundamental operation and a critical information bottleneck in efficient language and multimodal models, and yet prevailing approaches based on pooling or learned projections remain underperforming. We revisit sequence compression through the lens of test-time regression: input tokens define a regression problem whose fitted coefficients form the compressed representation. Importantly, the regression problem is learned end-to-end via backpropagation, while its coefficients are computed efficiently in closed form during the forward pass. This leads to TTR-Compressor, a general alternative to conventional pooling and projection-based compression. We evaluate TTR-Compressor as the compressor for block-wise sparse attention and the visual token merger for multimodal large language models. On block-wise sparse attention, TTR-Compressor improves RULER performance over attention-based compressors by a large margin. For visual token merging, it consistently outperforms the standard MLP merger and matches its performance with 55.6% fewer visual tokens. These results establish test-time regression as an effective primitive for sequence compression in efficient language and multimodal models.

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Topics: Pooling, Sequence (biology), Computer science, Compression (physics), Data compression, Regression

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