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One of the main theoretical challenges in learning dynamical systems from data is providing upper bounds on the generalization error, that is, the difference between the expected prediction error and the empirical prediction error measured…

Machine Learning · Computer Science 2024-05-22 Daniel Racz , Martin Gonzalez , Mihaly Petreczky , Andras Benczur , Balint Daroczy

We introduce a technique to compute probably approximately correct (PAC) bounds on precision and recall for matching algorithms. The bounds require some verified matches, but those matches may be used to develop the algorithms. The bounds…

Machine Learning · Computer Science 2016-04-12 Ya Le , Eric Bax , Nicola Barbieri , David Garcia Soriano , Jitesh Mehta , James Li

Unsupervised domain adaptation (UDA) is a technique used to transfer knowledge from a labeled source domain to a different but related unlabeled target domain. While many UDA methods have shown success in the past, they often assume that…

Machine Learning · Computer Science 2023-02-07 Yiling Liu , Juncheng Dong , Ziyang Jiang , Ahmed Aloui , Keyu Li , Hunter Klein , Vahid Tarokh , David Carlson

Deep neural networks (DNNs) are vulnerable to adversarial attacks. It is found empirically that adversarially robust generalization is crucial in establishing defense algorithms against adversarial attacks. Therefore, it is interesting to…

Machine Learning · Computer Science 2023-10-31 Jiancong Xiao , Ruoyu Sun , Zhi- Quan Luo

We present a family of novel block-sample MAC-Bayes bounds (mean approximately correct). While PAC-Bayes bounds (probably approximately correct) typically give bounds for the generalization error that hold with high probability, MAC-Bayes…

Machine Learning · Computer Science 2026-02-16 Matthias Frey , Jingge Zhu , Michael C. Gastpar

We tackle the domain generalisation (DG) problem by posing it as a domain adaptation (DA) task where we adversarially synthesise the worst-case target domain and adapt a model to that worst-case domain, thereby improving the model's…

Machine Learning · Computer Science 2023-02-24 Minyoung Kim , Da Li , Timothy Hospedales

We present a new framework for deriving bounds on the generalization bound of statistical learning algorithms from the perspective of online learning. Specifically, we construct an online learning game called the "generalization game",…

Machine Learning · Statistics 2024-10-18 Gábor Lugosi , Gergely Neu

In the PAC-Bayesian literature, the C-Bound refers to an insightful relation between the risk of a majority vote classifier (under the zero-one loss) and the first two moments of its margin (i.e., the expected margin and the voters'…

Machine Learning · Statistics 2021-09-01 Paul Viallard , Pascal Germain , Amaury Habrard , Emilie Morvant

Existing domain adaptation focuses on transferring knowledge between domains with categorical indices (e.g., between datasets A and B). However, many tasks involve continuously indexed domains. For example, in medical applications, one…

Machine Learning · Computer Science 2020-09-01 Hao Wang , Hao He , Dina Katabi

Domain adaptation is a key feature in Machine Translation. It generally encompasses terminology, domain and style adaptation, especially for human post-editing workflows in Computer Assisted Translation (CAT). With Neural Machine…

Computation and Language · Computer Science 2016-12-20 Christophe Servan , Josep Crego , Jean Senellart

The vast majority of existing algorithms for unsupervised domain adaptation (UDA) focus on adapting from a labeled source domain to an unlabeled target domain directly in a one-off way. Gradual domain adaptation (GDA), on the other hand,…

Machine Learning · Computer Science 2022-07-11 Haoxiang Wang , Bo Li , Han Zhao

Existing calibration algorithms address the problem of covariate shift via unsupervised domain adaptation. However, these methods suffer from the following limitations: 1) they require unlabeled data from the target domain, which may not be…

Machine Learning · Computer Science 2021-10-19 Yunye Gong , Xiao Lin , Yi Yao , Thomas G. Dietterich , Ajay Divakaran , Melinda Gervasio

Domain adaptation (DA) aims at improving the performance of a model on target domains by transferring the knowledge contained in different but related source domains. With recent advances in deep learning models which are extremely data…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Gabriela Csurka

Domain adaptation is a sub-field of machine learning that involves transferring knowledge from a source domain to perform the same task in the target domain. It is a typical challenge in machine learning that arises, e.g., when data is…

Machine Learning · Computer Science 2025-01-09 Philipp Spitzer , Dominik Martin , Laurin Eichberger , Niklas Kühl

We present a unifying picture of PAC-Bayesian and mutual information-based upper bounds on the generalization error of randomized learning algorithms. As we show, Tong Zhang's information exponential inequality (IEI) gives a general recipe…

Machine Learning · Computer Science 2021-10-26 Pradeep Kr. Banerjee , Guido Montúfar

Recent deep learning methods for object detection rely on a large amount of bounding box annotations. Collecting these annotations is laborious and costly, yet supervised models do not generalize well when testing on images from a different…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Han-Kai Hsu , Chun-Han Yao , Yi-Hsuan Tsai , Wei-Chih Hung , Hung-Yu Tseng , Maneesh Singh , Ming-Hsuan Yang

Control policies from imitation learning can often fail to generalize to novel environments due to imperfect demonstrations or the inability of imitation learning algorithms to accurately infer the expert's policies. In this paper, we…

Robotics · Computer Science 2020-12-04 Allen Z. Ren , Sushant Veer , Anirudha Majumdar

Minimising upper bounds on the population risk or the generalisation gap has been widely used in structural risk minimisation (SRM) -- this is in particular at the core of PAC-Bayesian learning. Despite its successes and unfailing surge of…

Machine Learning · Statistics 2023-10-30 Paul Viallard , Maxime Haddouche , Umut Şimşekli , Benjamin Guedj

We present a comprehensive study of multilayer neural networks with binary activation, relying on the PAC-Bayesian theory. Our contributions are twofold: (i) we develop an end-to-end framework to train a binary activated deep neural…

Machine Learning · Computer Science 2020-02-05 Gaël Letarte , Pascal Germain , Benjamin Guedj , François Laviolette

One of the central problems in machine learning is domain adaptation. Unlike past theoretical work, we consider a new model for subpopulation shift in the input or representation space. In this work, we propose a provably effective…

Machine Learning · Computer Science 2021-07-21 Tianle Cai , Ruiqi Gao , Jason D. Lee , Qi Lei