mlsanityData to 14 Oct 2026

When Does Depth Help? Understanding Layerwise Inference in Tabular Foundation Models

arXiv 2610.19814 ↗First posted 14 Oct 2026cs.LGcited by 0

Not on the map. Why?

Abstract (arXiv)

Transformer-based tabular foundation models (TFMs) achieve state-of-the-art performance on small to medium-sized tabular prediction tasks while processing diverse inputs through a shared stack of layers. Recent layerwise analyses identify strong predictive performance in early TFM representations and substantial overlap in computation across layers. However, early predictive accessibility alone does not establish whether later layers are dispensable for every input, and aggregate accuracy can obscure which inputs benefit from additional computation. We study all 24 in-context-learning layers of TabPFN-3 across 272 classification datasets, combining representation geometry, prediction trajectories, truncation, and structural interventions, while also examining related representation dynamics in four additional TFMs. We uncover a pronounced expansion-compression trajectory, with stronger late dimensional contraction associated with larger increases in class-prototype separation. A targeted analysis of early-stabilizing samples shows that substantial representational changes persist after predicted classes stabilize, while locally ambiguous queries obtain larger accuracy gains from shallow to late layers than well-separated queries. Repeating a single pretrained block or perturbing layer order reduces predictive performance on average, constraining simple post-hoc substitutions in the frozen model. These findings distinguish predictive accessibility, class stability, and the benefits of continuing computation, supporting an input-dependent assessment of depthwise redundancy in TFMs.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 30 of its 33 references that are in the map. First posted on arXiv 14 Oct 2026.

Builds on

30 of 33 references.

References · 30

  1. 2019ALBERT: A Lite BERT for Self-supervised Learning of Language Representationscited by 2,790
  2. 2019Similarity of Neural Network Representations Revisitedcited by 1,755
  3. 2016Understanding intermediate layers using linear classifier probescited by 1,353
  4. 2019BERT Rediscovers the Classical NLP Pipelinecited by 1,059
  5. 2021Probing Classifiers: Promises, Shortcomings, and Advancescited by 876
  6. 2020A Primer in BERTology: What we know about how BERT workscited by 815
  7. 2022TabPFN: A Transformer That Solves Small Tabular Classification Problems in a Secondcited by 674
  8. 2018Universal Transformerscited by 647
  9. 2023Eliciting Latent Predictions from Transformers with the Tuned Lenscited by 623
  10. 2019Reducing Transformer Depth on Demand with Structured Dropoutcited by 439
  11. 2021Transformers Can Do Bayesian Inferencecited by 360
  12. 2020DeeBERT: Dynamic Early Exiting for Accelerating BERT Inferencecited by 332
18 more
  1. 2025Layer by Layer: Uncovering Hidden Representations in Language Modelscited by 311
  2. 2025TabICL: A Tabular Foundation Model for In-Context Learning on Large Datacited by 289
  3. 2019Intrinsic dimension of data representations in deep neural networkscited by 282
  4. 2020BERT Loses Patience: Fast and Robust Inference with Early Exitcited by 273
  5. 2019Depth-Adaptive Transformercited by 236
  6. 2017OpenML Benchmarking Suitescited by 178
  7. 2024The Remarkable Robustness of LLMs: Stages of Inference?cited by 146
  8. 2024TabDPT: Scaling Tabular Foundation Models on Real Datacited by 113
  9. 2025LimiX: Unleashing Structured-Data Modeling Capability for Generalist Intelligencecited by 79
  10. 2017Residual Connections Encourage Iterative Inferencecited by 77
  11. 2025Mitra: Mixed Synthetic Priors for Enhancing Tabular Foundation Modelscited by 77
  12. 2024Transformer Layers as Painterscited by 54
  13. 2024TALENT: A Tabular Analytics and Learning Toolboxcited by 52
  14. 2025A Closer Look at TabPFN v2: Understanding Its Strengths and Extending Its Capabilitiescited by 41
  15. 2025Real-TabPFN: Improving Tabular Foundation Models via Continued Pre-training With Real-World Datacited by 41
  16. 2026Is One Layer Enough? Understanding Inference Dynamics in Tabular Foundation Modelscited by 10
  17. 2026TabSwift: An Efficient Tabular Foundation Model with Row-Wise Attentioncited by 8
  18. 2025From Tables to Signals: Revealing Spectral Adaptivity in TabPFNcited by 4

Built on by

Not cited yet.