State-Space Models for Tabular Prior-Data Fitted Networks

Fuente: arXiv
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Autori principali: Koch, Felix, Wever, Marcel, Raisch, Fabian, Tischler, Benjamin
Natura: Preprint
Pubblicazione: 2025
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author Koch, Felix
Wever, Marcel
Raisch, Fabian
Tischler, Benjamin
author_facet Koch, Felix
Wever, Marcel
Raisch, Fabian
Tischler, Benjamin
contents Recent advancements in foundation models for tabular data, such as TabPFN, demonstrated that pretrained Transformer architectures can approximate Bayesian inference with high predictive performance. However, Transformers suffer from quadratic complexity with respect to sequence length, motivating the exploration of more efficient sequence models. In this work, we investigate the potential of using Hydra, a bidirectional linear-time structured state space model (SSM), as an alternative to Transformers in TabPFN. A key challenge lies in SSM's inherent sensitivity to the order of input tokens - an undesirable property for tabular datasets where the row order is semantically meaningless. We investigate to what extent a bidirectional approach can preserve efficiency and enable symmetric context aggregation. Our experiments show that this approach reduces the order-dependence, achieving predictive performance competitive to the original TabPFN model.
format Preprint
id arxiv_https___arxiv_org_abs_2510_14573
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle State-Space Models for Tabular Prior-Data Fitted Networks
Koch, Felix
Wever, Marcel
Raisch, Fabian
Tischler, Benjamin
Machine Learning
Recent advancements in foundation models for tabular data, such as TabPFN, demonstrated that pretrained Transformer architectures can approximate Bayesian inference with high predictive performance. However, Transformers suffer from quadratic complexity with respect to sequence length, motivating the exploration of more efficient sequence models. In this work, we investigate the potential of using Hydra, a bidirectional linear-time structured state space model (SSM), as an alternative to Transformers in TabPFN. A key challenge lies in SSM's inherent sensitivity to the order of input tokens - an undesirable property for tabular datasets where the row order is semantically meaningless. We investigate to what extent a bidirectional approach can preserve efficiency and enable symmetric context aggregation. Our experiments show that this approach reduces the order-dependence, achieving predictive performance competitive to the original TabPFN model.
title State-Space Models for Tabular Prior-Data Fitted Networks
topic Machine Learning
url https://arxiv.org/abs/2510.14573