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Given two networks with the same training loss on a dataset, when would they have drastically different test losses and errors? Better understanding of this question of generalization may improve practical applications of deep networks. In…

Machine Learning · Computer Science 2018-07-26 Qianli Liao , Brando Miranda , Andrzej Banburski , Jack Hidary , Tomaso Poggio

In recent years, machine learning models have achieved success based on the independently and identically distributed assumption. However, this assumption can be easily violated in real-world applications, leading to the Out-of-Distribution…

Machine Learning · Computer Science 2024-03-27 Yifan Hao , Yong Lin , Difan Zou , Tong Zhang

Machine learning (ML) techniques are increasingly applied to decision-making and control problems in Cyber-Physical Systems among which many are safety-critical, e.g., chemical plants, robotics, autonomous vehicles. Despite the significant…

Systems and Control · Electrical Eng. & Systems 2019-09-12 Xiaozhe Gu , Arvind Easwaran

The phenomenon of model collapse, introduced in (Shumailov et al., 2023), refers to the deterioration in performance that occurs when new models are trained on synthetic data generated from previously trained models. This recursive training…

Machine Learning · Computer Science 2024-04-09 Mohamed El Amine Seddik , Suei-Wen Chen , Soufiane Hayou , Pierre Youssef , Merouane Debbah

Estimating how often an ML model will fail at deployment scale is central to pre-deployment safety assessment, but a feasible evaluation set is rarely large enough to observe the failures that matter. Jones et al. (2025) address this by…

Machine Learning · Computer Science 2026-05-18 Will Schwarzer , Scott Niekum

The generalization error of a learning algorithm refers to the discrepancy between the loss of a learning algorithm on training data and that on unseen testing data. Various information-theoretic bounds on the generalization error have been…

Information Theory · Computer Science 2025-06-24 Xuetong Wu , Jonathan H. Manton , Uwe Aickelin , Jingge Zhu

Machine learning algorithms are increasingly used to inform critical decisions. There is a growing concern about bias, that algorithms may produce uneven outcomes for individuals in different demographic groups. In this work, we measure…

Machine Learning · Computer Science 2021-06-01 Runshan Fu , Yangfan Liang , Peter Zhang

Optimization Modulo Theories (OMT) has emerged as an important extension of the highly successful Satisfiability Modulo Theories (SMT) paradigm. The OMT problem requires solving an SMT problem with the restriction that the solution must be…

Logic in Computer Science · Computer Science 2024-04-30 Nestan Tsiskaridze , Clark Barrett , Cesare Tinelli

Open-set semi-supervised learning (open-set SSL) investigates a challenging but practical scenario where out-of-distribution (OOD) samples are contained in the unlabeled data. While the mainstream technique seeks to completely filter out…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Junkai Huang , Chaowei Fang , Weikai Chen , Zhenhua Chai , Xiaolin Wei , Pengxu Wei , Liang Lin , Guanbin Li

"Accuracy-on-the-line" is a widely observed phenomenon in machine learning, where a model's accuracy on in-distribution (ID) and out-of-distribution (OOD) data is positively correlated across different hyperparameters and data…

Machine Learning · Computer Science 2024-06-28 Amartya Sanyal , Yaxi Hu , Yaodong Yu , Yian Ma , Yixin Wang , Bernhard Schölkopf

This work invokes the notion of $f$-divergence to introduce a novel upper bound on the Bayes error rate of a general classification task. We show that the proposed bound can be computed by sampling from the output of a parameterized model.…

Machine Learning · Computer Science 2025-01-15 Mohammadreza Tavasoli Naeini , Ali Bereyhi , Morteza Noshad , Ben Liang , Alfred O. Hero

Open set recognition (OSR) is the problem of classifying the known classes, meanwhile identifying the unknown classes when the collected samples cannot exhaust all the classes. There are many applications for the OSR problem. For instance,…

Machine Learning · Computer Science 2021-05-05 Jingyun Jia , Philip K. Chan

Transformers excel in natural language processing and computer vision tasks. However, they still face challenges in generalizing to Out-of-Distribution (OOD) datasets, i.e. data whose distribution differs from that seen during training. OOD…

Machine Learning · Computer Science 2026-01-30 Yijin Zhou , Yutang Ge , Wenyuan Xie , Linqian Zeng , Xiaowen Dong , Yuguang Wang

One of the major open problems in machine learning is to characterize generalization in the overparameterized regime, where most traditional generalization bounds become inconsistent even for overparameterized linear regression. In many…

Machine Learning · Computer Science 2023-11-22 Jing Xu , Jiaye Teng , Yang Yuan , Andrew Chi-Chih Yao

Recent years have witnessed significant progress in the development of machine learning models across a wide range of fields, fueled by increased computational resources, large-scale datasets, and the rise of deep learning architectures.…

Central to several objective approaches to Bayesian model selection is the use of training samples (subsets of the data), so as to allow utilization of improper objective priors. The most common prescription for choosing training samples is…

Statistics Theory · Mathematics 2007-06-13 James O. Berger , Luis R. Pericchi

We derive a tight generalization bound for quantum machine learning that is applicable to a wide range of supervised tasks, data, and models. Our bound is both efficiently computable and free of big-O notation. Furthermore, we point out…

Quantum Physics · Physics 2025-10-29 Xin Wang , Rebing Wu

Minimum error rate training (MERT) is a widely used training procedure for statistical machine translation. A general problem of this approach is that the search space is easy to converge to a local optimum and the acquired weight set is…

Computation and Language · Computer Science 2014-05-13 Chen Lijiang

Various approaches have been developed to upper bound the generalization error of a supervised learning algorithm. However, existing bounds are often loose and even vacuous when evaluated in practice. As a result, they may fail to…

Information Theory · Computer Science 2022-10-19 Gholamali Aminian , Yuheng Bu , Laura Toni , Miguel R. D. Rodrigues , Gregory W. Wornell

Out-of-distribution (OOD) generalization is indispensable for learning models in the wild, where testing distribution typically unknown and different from the training. Recent methods derived from causality have shown great potential in…

Machine Learning · Computer Science 2024-05-13 Mengyue Yang , Zhen Fang , Yonggang Zhang , Yali Du , Furui Liu , Jean-Francois Ton , Jianhong Wang , Jun Wang
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