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SOMTab introduces a hybrid architecture that replaces attention-heavy mechanisms with Mamba-based state-space models for constructing representations, reserving attention only for the final retrieval stage. This approach significantly reduces GPU memory usage and inference time while maintaining performance comparable to leading Transformer-based tabular foundation models. The inclusion of DCH-TailMix further enhances robustness by diversifying synthetic dependency structures through graph heterogeneity and heavy-tailed regimes.
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SOMTab: Set-Order Mamba for Efficient Tabular In-Context Learning

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arXiv:2608.27882v1 Announce Type: cross Abstract: Tabular foundation models based on in-context learning have recently emerged as strong alternatives to task-specific model fitting. However, the current performance frontier remains dominated by attention-heavy architectures, where attention is used throughout the modeling pipeline. This raises a natural question: is attention necessary at every stage of tabular in-context learning? We introduce SOMTab, a Set-Order Mamba architecture for efficient tabular in-context learning. SOMTab separates representation construction from query-conditioned retrieval. For row and column representations, it maps unordered table tokens into stable latent slots and applies Mamba-based state-space mixing to construct compact representations. For final prediction, it retains attention-based in-context learning to preserve query-conditioned retrieval from labeled context examples. We further introduce DCH-TailMix, a synthetic prior that combines degree-corrected graph heterogeneity with mixed heavy-tailed regimes to diversify synthetic dependency structures. Across tabular benchmarks, SOMTab approaches the performance of strong Transformer-based tabular foundation models while achieving faster inference and lower GPU memory usage, yielding a favorable efficiency--accuracy trade-off.

Abstract:Tabular foundation models based on in-context learning have recently emerged as strong alternatives to task-specific model fitting. However, the current performance frontier remains dominated by attention-heavy architectures, where attention is used throughout the modeling pipeline. This raises a natural question: is attention necessary at every stage of tabular in-context learning? We introduce SOMTab, a Set-Order Mamba architecture for efficient tabular in-context learning. SOMTab separates representation construction from query-conditioned retrieval. For row and column representations, it maps unordered table tokens into stable latent slots and applies Mamba-based state-space mixing to construct compact representations. For final prediction, it retains attention-based in-context learning to preserve query-conditioned retrieval from labeled context examples. We further introduce DCH-TailMix, a synthetic prior that combines degree-corrected graph heterogeneity with mixed heavy-tailed regimes to diversify synthetic dependency structures. Across tabular benchmarks, SOMTab approaches the performance of strong Transformer-based tabular foundation models while achieving faster inference and lower GPU memory usage, yielding a favorable efficiency--accuracy trade-off.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

arXiv:2608.27882 [cs.LG]

(or arXiv:2608.27882v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2608.27882 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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