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We study theoretical guarantees for solving linear systems in-context using a linear transformer architecture. For in-domain generalization, we provide neural scaling laws that bound the generalization error in terms of the number of tasks…

Machine Learning · Computer Science 2025-05-27 Frank Cole , Yulong Lu , Wuzhe Xu , Tianhao Zhang

Transferability estimation identifies the best pre-trained models for downstream tasks without incurring the high computational cost of full fine-tuning. This capability facilitates deployment and advances the pre-training and fine-tuning…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Yaoyan Zheng , Huiqun Wang , Nan Zhou , Di Huang

We propose data-dependent uniform generalization bounds by approaching the problem from a PAC-Bayesian perspective. We first apply the PAC-Bayesian framework on "random sets" in a rigorous way, where the training algorithm is assumed to…

Machine Learning · Statistics 2025-02-11 Benjamin Dupuis , Paul Viallard , George Deligiannidis , Umut Simsekli

Learning to use tools to solve a variety of tasks is an innate ability of humans and has been observed of animals in the wild. However, the underlying mechanisms that are required to learn to use tools are abstract and widely contested in…

Neural and Evolutionary Computing · Computer Science 2019-07-04 Sam Wenke , Dan Saunders , Mike Qiu , Jim Fleming

Methods of transfer learning try to combine knowledge from several related tasks (or domains) to improve performance on a test task. Inspired by causal methodology, we relax the usual covariate shift assumption and assume that it holds true…

Machine Learning · Statistics 2018-09-25 Mateo Rojas-Carulla , Bernhard Schölkopf , Richard Turner , Jonas Peters

A proper understanding of the striking generalization abilities of deep neural networks presents an enduring puzzle. Recently, there has been a growing body of numerically-grounded theoretical work that has contributed important insights to…

Machine Learning · Computer Science 2019-10-31 Tyler Lee , Anthony Ndirango

Generative Adversarial Imitation Learning (GAIL) is a powerful and practical approach for learning sequential decision-making policies. Different from Reinforcement Learning (RL), GAIL takes advantage of demonstration data by experts (e.g.,…

Machine Learning · Computer Science 2020-01-14 Minshuo Chen , Yizhou Wang , Tianyi Liu , Zhuoran Yang , Xingguo Li , Zhaoran Wang , Tuo Zhao

Most generalization bounds in learning theory are based on some measure of the complexity of the hypothesis class used, independently of any algorithm. In contrast, the notion of algorithmic stability can be used to derive tight…

Machine Learning · Computer Science 2008-11-12 Mehryar Mohri , Afshin Rostamizadeh

In learning-assisted theorem proving, one of the most critical challenges is to generalize to theorems unlike those seen at training time. In this paper, we introduce INT, an INequality Theorem proving benchmark, specifically designed to…

Artificial Intelligence · Computer Science 2021-04-06 Yuhuai Wu , Albert Qiaochu Jiang , Jimmy Ba , Roger Grosse

Synthetic data can improve generalization when real data is scarce, but excessive reliance may introduce distributional mismatches that degrade performance. In this paper, we present a learning-theoretic framework to quantify the trade-off…

Machine Learning · Statistics 2026-04-02 Amitis Shidani , Tyler Farghly , Yang Sun , Habib Ganjgahi , George Deligiannidis

In Meta-Reinforcement Learning (meta-RL) an agent is trained on a set of tasks to prepare for and learn faster in new, unseen, but related tasks. The training tasks are usually hand-crafted to be representative of the expected distribution…

Machine Learning · Computer Science 2021-07-02 Ricardo Luna Gutierrez , Matteo Leonetti

Learning with identical train and test distributions has been extensively investigated both practically and theoretically. Much remains to be understood, however, in statistical learning under distribution shifts. This paper focuses on a…

Machine Learning · Computer Science 2024-11-01 Omar Montasser , Han Shao , Emmanuel Abbe

Meta-learning automatically infers an inductive bias by observing data from a number of related tasks. The inductive bias is encoded by hyperparameters that determine aspects of the model class or training algorithm, such as initialization…

Machine Learning · Computer Science 2020-11-10 Sharu Theresa Jose , Osvaldo Simeone , Giuseppe Durisi

This paper presents a novel evaluation framework for Out-of-Distribution (OOD) detection that aims to assess the performance of machine learning models in more realistic settings. We observed that the real-world requirements for testing OOD…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Vahid Reza Khazaie , Anthony Wong , Mohammad Sabokrou

We present a general approach to deriving bounds on the generalization error of randomized learning algorithms. Our approach can be used to obtain bounds on the average generalization error as well as bounds on its tail probabilities, both…

Information Theory · Computer Science 2020-09-10 Fredrik Hellström , Giuseppe Durisi

Industrial Anomaly Detection (IAD) is a subproblem within Computer Vision Anomaly Detection that has been receiving increasing amounts of attention due to its applicability to real-life scenarios. Recent research has focused on how to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Mariette Schönfeld , Wannes Meert , Hendrik Blockeel

Learning guarantees often rely on assumptions of i.i.d. data, which will likely be violated in practice once predictors are deployed to perform real-world tasks. Domain adaptation approaches thus appeared as a useful framework yielding…

Machine Learning · Computer Science 2021-06-29 Joao Monteiro , Xavier Gibert , Jianqiao Feng , Vincent Dumoulin , Dar-Shyang Lee

Knowledge distillation (KD) is essentially a process of transferring a teacher model's behavior, e.g., network response, to a student model. The network response serves as additional supervision to formulate the machine domain, which uses…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Yulei Niu , Long Chen , Chang Zhou , Hanwang Zhang

The notion of generalization in classical Statistical Learning is often attached to the postulate that data points are independent and identically distributed (IID) random variables. While relevant in many applications, this postulate may…

Machine Learning · Computer Science 2020-09-15 Simon Foucart , Chunyang Liao , Shahin Shahrampour , Yinsong Wang

The ability to generalize is an important feature of any intelligent agent. Not only because it may allow the agent to cope with large amounts of data, but also because in some environments, an agent with no generalization capabilities…

Artificial Intelligence · Computer Science 2017-11-02 Alexey A. Melnikov , Adi Makmal , Vedran Dunjko , Hans J. Briegel