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It is crucial to detect when an instance lies downright too far from the training samples for the machine learning model to be trusted, a challenge known as out-of-distribution (OOD) detection. For neural networks, one approach to this task…

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

We consider the problem of optimising the expected value of a loss functional over a nonlinear model class of functions, assuming that we have only access to realisations of the gradient of the loss. This is a classical task in statistics,…

Optimization and Control · Mathematics 2026-02-02 Robert Gruhlke , Anthony Nouy , Philipp Trunschke

Prediction models often fail if train and test data do not stem from the same distribution. Out-of-distribution (OOD) generalization to unseen, perturbed test data is a desirable but difficult-to-achieve property for prediction models and…

Methodology · Statistics 2022-05-25 Lucas Kook , Beate Sick , Peter Bühlmann

The phenomenon of data distribution evolving over time has been observed in a range of applications, calling the needs of adaptive learning algorithms. We thus study the problem of supervised gradual domain adaptation, where labeled data…

Machine Learning · Computer Science 2022-11-15 Jing Dong , Shiji Zhou , Baoxiang Wang , Han Zhao

Existing losses used in deep metric learning (DML) for image retrieval often lead to highly non-uniform intra-class and inter-class representation structures across test classes and data distributions. When combined with the common practice…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Qin Zhang , Linghan Xu , Qingming Tang , Jun Fang , Ying Nian Wu , Joe Tighe , Yifan Xing

Convolutional Neural Networks (CNNs) have brought revolutionary advances to many research areas due to their capacity of learning from raw data. However, when those methods are applied to non-controllable environments, many different…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Lucas Fernando Alvarenga e Silva , Nicu Sebe , Jurandy Almeida

Virtually all machine learning tasks are characterized using some form of loss function, and "good performance" is typically stated in terms of a sufficiently small average loss, taken over the random draw of test data. While optimizing for…

Machine Learning · Statistics 2023-12-01 Matthew J. Holland , Kazuki Tanabe

We develop a general framework for estimating function-valued parameters under equality or inequality constraints in infinite-dimensional statistical models. Such constrained learning problems are common across many areas of statistics and…

Machine Learning · Statistics 2025-07-22 Razieh Nabi , Nima S. Hejazi , Mark J. van der Laan , David Benkeser

Training of deep neural networks heavily depends on the data distribution. In particular, the networks easily suffer from class imbalance. The trained networks would recognize the frequent classes better than the infrequent classes. To…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Byungju Kim , Junmo Kim

Offline reinforcement learning (RL) is challenged by the distributional shift problem. To address this problem, existing works mainly focus on designing sophisticated policy constraints between the learned policy and the behavior policy.…

Machine Learning · Computer Science 2025-01-09 Yang Yue , Bingyi Kang , Xiao Ma , Qisen Yang , Gao Huang , Shiji Song , Shuicheng Yan

We study learning of probability distributions characterized by an unknown symmetry direction. Based on an entropic performance measure and the variational method of statistical mechanics we develop exact upper and lower bounds on the…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Herschkowitz , M. Opper

Regular variation is often used as the starting point for modeling multivariate heavy-tailed data. A random vector is regularly varying if and only if its radial part $R$ is regularly varying and is asymptotically independent of the angular…

Statistics Theory · Mathematics 2018-03-28 Phyllis Wan , Richard A. Davis

Multi-task learning (MTL) has emerged as a pivotal paradigm in machine learning by leveraging shared structures across multiple related tasks. Despite its empirical success, the development of likelihood-based efficiently solvable…

Machine Learning · Computer Science 2026-05-07 Shihong Ding , Fangyu Du , Cong Fang

Classifiers and other statistics-based machine learning (ML) techniques generalize, or learn, based on various statistical properties of the training data. The assumption underlying statistical ML resulting in theoretical or empirical…

Machine Learning · Computer Science 2021-11-11 Samuel Ackerman , Orna Raz , Marcel Zalmanovici , Aviad Zlotnick

Statistical learning theory is the foundation of machine learning, providing theoretical bounds for the risk of models learned from a (single) training set, assumed to issue from an unknown probability distribution. In actual deployment,…

Machine Learning · Computer Science 2024-10-25 Michele Caprio , Maryam Sultana , Eleni Elia , Fabio Cuzzolin

Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

Methodology · Statistics 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

In Ordinal Classification tasks, items have to be assigned to classes that have a relative ordering, such as positive, neutral, negative in sentiment analysis. Remarkably, the most popular evaluation metrics for ordinal classification tasks…

Computation and Language · Computer Science 2022-02-22 Enrique Amigó , Julio Gonzalo , Stefano Mizzaro , Jorge Carrillo-de-Albornoz

When training the parameters of a linear dynamical model, the gradient descent algorithm is likely to fail to converge if the squared-error loss is used as the training loss function. Restricting the parameter space to a smaller subset and…

Machine Learning · Computer Science 2020-07-13 Kamil Nar , Yuan Xue , Andrew M. Dai

We consider the problem of analyzing the probabilistic performance of first-order methods when solving convex optimization problems drawn from an unknown distribution only accessible through samples. By combining performance estimation…

Optimization and Control · Mathematics 2025-12-11 Jisun Park , Vinit Ranjan , Bartolomeo Stellato
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