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Paper · arXiv

The Standardization Trap: Certifying Joint Label Processing in Tabular Foundation Models

Linear regression and kernel smoothing offer tractable explanations of in-context learning: in both, the features determine the weight assigned to each context label. However, whether this fixed-weight account describes pretrained tabular foundation models (TFMs) remains unclear. Testing this account using derivatives runs into a standardization trap: public TFM packages standardize the labels before the model sees them, yet ordinary derivatives also reflect behavior outside the set of standardized labels, making a model appear nonlinear even when every prediction it makes agrees with a fixed-weight map. We propose two certificates that depend only on predictions at standardized labels an...

AuthorsDuong Nguyen, Nicolas Chesneau, Milan Bhan
Primary categorycs.AI
Published6 October 2026
Last updated at source6 October 2026
cs.AIcs.LG
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