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This arXiv paper proposes TTR-Compressor, which compresses token sequences by fitting a regression problem whose closed-form solution serves as the compressed representation, with the regression trained end-to-end. The authors report gains over attention-based compressors on RULER for block-wise sparse attention, and for multimodal models they match an MLP visual-token merger while using 55.6% fewer visual tokens. These are single-paper results on specific benchmarks, so readers should watch for independent replication and for how the method's compute cost compares in practice.
Source coveringarXiv

Rethinking Sequence Compression with Test-time Regression

arXiv2 min read

arXiv:2610.31574v1 Announce Type: new 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.

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.

Machine Learning (cs.LG)

arXiv:2610.31574 [cs.LG]

(or arXiv:2610.31574v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.31574 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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