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Much more attention has been paid to unsupervised feature selection nowadays due to the emergence of massive unlabeled data. The distribution of samples and the latent effect of training a learning method using samples in more effective…

Machine Learning · Computer Science 2021-12-15 Weiyi Li , Hongmei Chen , Tianrui Li , Jihong Wan , Binbin Sang

Any classifier can be "smoothed out" under Gaussian noise to build a new classifier that is provably robust to $\ell_2$-adversarial perturbations, viz., by averaging its predictions over the noise via randomized smoothing. Under the…

Machine Learning · Computer Science 2022-12-21 Jongheon Jeong , Seojin Kim , Jinwoo Shin

When and how can an attention mechanism learn to selectively attend to informative tokens, thereby enabling detection of weak, rare, and sparsely located features? We address these questions theoretically in a sparse-token classification…

Machine Learning · Computer Science 2025-09-30 Nicholas Barnfield , Hugo Cui , Yue M. Lu

Recently, contrastive learning has achieved great results in self-supervised learning, where the main idea is to push two augmentations of an image (positive pairs) closer compared to other random images (negative pairs). We argue that not…

Computer Vision and Pattern Recognition · Computer Science 2021-09-13 Ajinkya Tejankar , Soroush Abbasi Koohpayegani , Vipin Pillai , Paolo Favaro , Hamed Pirsiavash

In classical statistical learning theory, one of the most well studied problems is that of binary classification. The information-theoretic sample complexity of this task is tightly characterized by the Vapnik-Chervonenkis (VC) dimension. A…

Quantum Physics · Physics 2021-05-10 Matthias C. Caro

Zero-Shot Classification (ZSC) equips the learned model with the ability to recognize the visual instances from the novel classes via constructing the interactions between the visual and the semantic modalities. In contrast to the…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Zhong Ji , Xuejie Yu , Yunlong Yu , Yanwei Pang , Zhongfei Zhang

We study the complexity of smoothed agnostic learning, recently introduced by~\cite{CKKMS24}, in which the learner competes with the best classifier in a target class under slight Gaussian perturbations of the inputs. Specifically, we focus…

Machine Learning · Computer Science 2026-02-25 Ilias Diakonikolas , Daniel M. Kane

We give an efficient algorithm for learning a binary function in a given class C of bounded VC dimension, with training data distributed according to P and test data according to Q, where P and Q may be arbitrary distributions over X. This…

Machine Learning · Computer Science 2021-02-17 Adam Kalai , Varun Kanade

Adversarially robust PAC learning has proved to be challenging, with the currently best known learners [Montasser et al., 2021a] relying on improper methods based on intricate compression schemes, resulting in sample complexity exponential…

Machine Learning · Computer Science 2025-02-12 Hassan Ashtiani , Vinayak Pathak , Ruth Urner

Multi-index models - functions which only depend on the covariates through a non-linear transformation of their projection on a subspace - are a useful benchmark for investigating feature learning with neural nets. This paper examines the…

Machine Learning · Computer Science 2025-11-13 Emanuele Troiani , Yatin Dandi , Leonardo Defilippis , Lenka Zdeborová , Bruno Loureiro , Florent Krzakala

The growing environmental footprint of artificial intelligence (AI), especially in terms of storage and computation, calls for more frugal and interpretable models. Sparse models (e.g., linear, neural networks) offer a promising solution by…

Machine Learning · Statistics 2025-09-23 Sylvain Sardy , Maxime van Cutsem , Xiaoyu Ma

For machine learning models trained with limited labeled training data, validation stands to become the main bottleneck to reducing overall annotation costs. We propose a statistical validation algorithm that accurately estimates the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Fait Poms , Vishnu Sarukkai , Ravi Teja Mullapudi , Nimit S. Sohoni , William R. Mark , Deva Ramanan , Kayvon Fatahalian

We address the problem of learning self-supervised representations from unlabeled image collections. Unlike existing approaches that attempt to learn useful features by maximizing similarity between augmented versions of each input image or…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Omiros Pantazis , Gabriel Brostow , Kate Jones , Oisin Mac Aodha

We show how to obtain improved active learning methods in the agnostic (adversarial noise) setting by combining marginal leverage score sampling with non-independent sampling strategies that promote spatial coverage. In particular, we…

Machine Learning · Computer Science 2024-05-07 Atsushi Shimizu , Xiaoou Cheng , Christopher Musco , Jonathan Weare

In computational pathology, random sampling of patches during training of Multiple Instance Learning (MIL) methods is computationally efficient and serves as a regularization strategy. Despite its promising benefits, questions concerning…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 H. Keshvarikhojasteh , J. P. W. Pluim , M. Veta

We consider the relationship between learnability of a "base class" of functions on a set $X$, and learnability of a class of statistical functions derived from the base class. For example, we refine results showing that learnability of a…

Logic in Computer Science · Computer Science 2025-05-28 Aaron Anderson , Michael Benedikt

State-of-the-art machine learning models require access to significant amount of annotated data in order to achieve the desired level of performance. While unlabelled data can be largely available and even abundant, annotation process can…

Machine Learning · Computer Science 2020-10-15 Rahaf Aljundi , Nikolay Chumerin , Daniel Olmeda Reino

We study exact active learning of binary and multiclass classifiers with margin. Given an $n$-point set $X \subset \mathbb{R}^m$, we want to learn any unknown classifier on $X$ whose classes have finite strong convex hull margin, a new…

Machine Learning · Computer Science 2022-09-12 Marco Bressan , Nicolò Cesa-Bianchi , Silvio Lattanzi , Andrea Paudice , Maximilian Thiessen

Inspired by recent work on learning with distribution shift, we give a general outlier removal algorithm called iterative polynomial filtering and show a number of striking applications for supervised learning with contamination: (1) We…

Machine Learning · Computer Science 2026-01-13 Adam R. Klivans , Konstantinos Stavropoulos , Kevin Tian , Arsen Vasilyan

Learning from positive and unlabeled data (PU learning) is a weakly supervised variant of binary classification in which the learner receives labels only for (some) positively labeled instances, while all other examples remain unlabeled.…

Machine Learning · Computer Science 2026-02-03 Farnam Mansouri , Sandra Zilles , Shai Ben-David