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Main Authors: Gozeten, Halil Alperen, Ildiz, M. Emrullah, Zhang, Xuechen, Soltanolkotabi, Mahdi, Mondelli, Marco, Oymak, Samet
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.11842
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author Gozeten, Halil Alperen
Ildiz, M. Emrullah
Zhang, Xuechen
Soltanolkotabi, Mahdi
Mondelli, Marco
Oymak, Samet
author_facet Gozeten, Halil Alperen
Ildiz, M. Emrullah
Zhang, Xuechen
Soltanolkotabi, Mahdi
Mondelli, Marco
Oymak, Samet
contents Test-time training (TTT) methods explicitly update the weights of a model to adapt to the specific test instance, and they have found success in a variety of settings, including most recently language modeling and reasoning. To demystify this success, we investigate a gradient-based TTT algorithm for in-context learning, where we train a transformer model on the in-context demonstrations provided in the test prompt. Specifically, we provide a comprehensive theoretical characterization of linear transformers when the update rule is a single gradient step. Our theory (i) delineates the role of alignment between pretraining distribution and target task, (ii) demystifies how TTT can alleviate distribution shift, and (iii) quantifies the sample complexity of TTT including how it can significantly reduce the eventual sample size required for in-context learning. As our empirical contribution, we study the benefits of TTT for TabPFN, a tabular foundation model. In line with our theory, we demonstrate that TTT significantly reduces the required sample size for tabular classification (3 to 5 times fewer) unlocking substantial inference efficiency with a negligible training cost.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11842
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Test-Time Training Provably Improves Transformers as In-context Learners
Gozeten, Halil Alperen
Ildiz, M. Emrullah
Zhang, Xuechen
Soltanolkotabi, Mahdi
Mondelli, Marco
Oymak, Samet
Machine Learning
Test-time training (TTT) methods explicitly update the weights of a model to adapt to the specific test instance, and they have found success in a variety of settings, including most recently language modeling and reasoning. To demystify this success, we investigate a gradient-based TTT algorithm for in-context learning, where we train a transformer model on the in-context demonstrations provided in the test prompt. Specifically, we provide a comprehensive theoretical characterization of linear transformers when the update rule is a single gradient step. Our theory (i) delineates the role of alignment between pretraining distribution and target task, (ii) demystifies how TTT can alleviate distribution shift, and (iii) quantifies the sample complexity of TTT including how it can significantly reduce the eventual sample size required for in-context learning. As our empirical contribution, we study the benefits of TTT for TabPFN, a tabular foundation model. In line with our theory, we demonstrate that TTT significantly reduces the required sample size for tabular classification (3 to 5 times fewer) unlocking substantial inference efficiency with a negligible training cost.
title Test-Time Training Provably Improves Transformers as In-context Learners
topic Machine Learning
url https://arxiv.org/abs/2503.11842