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We study robustness to test-time adversarial attacks in the regression setting with $\ell_p$ losses and arbitrary perturbation sets. We address the question of which function classes are PAC learnable in this setting. We show that classes…

Machine Learning · Computer Science 2024-05-07 Idan Attias , Steve Hanneke

On-line learning of a rule given by an N-dimensional Ising perceptron, is considered for the case when the student is constrained to take values in a discrete state space of size $L^N$. For L=2 no on-line algorithm can achieve a finite…

Condensed Matter · Physics 2007-05-23 W. Kinzel , R. Urbanczik

In contrast to conventional (single-label) classification, the setting of multilabel classification (MLC) allows an instance to belong to several classes simultaneously. Thus, instead of selecting a single class label, predictions take the…

Machine Learning · Computer Science 2020-01-27 Vu-Linh Nguyen , Eyke Hüllermeier

Deep learning techniques are renowned for supporting effective transfer learning. However, as we demonstrate, the transferred representations support only a few modes of separation and much of its dimensionality is unutilized. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2015-12-23 Etai Littwin , Lior Wolf

This paper provides theoretical insights into high-dimensional binary classification with class-conditional noisy labels. Specifically, we study the behavior of a linear classifier with a label noisiness aware loss function, when both the…

Machine Learning · Computer Science 2024-05-24 Aymane El Firdoussi , Mohamed El Amine Seddik

Understanding the self-directed learning complexity has been an important problem that has captured the attention of the online learning theory community since the early 1990s. Within this framework, the learner is allowed to adaptively…

Machine Learning · Statistics 2024-02-22 Pramith Devulapalli , Steve Hanneke

Recent work on the representation of functions on sets has considered the use of summation in a latent space to enforce permutation invariance. In particular, it has been conjectured that the dimension of this latent space may remain fixed…

Machine Learning · Computer Science 2019-10-08 Edward Wagstaff , Fabian B. Fuchs , Martin Engelcke , Ingmar Posner , Michael Osborne

Additive models form a widely popular class of regression models which represent the relation between covariates and response variables as the sum of low-dimensional transfer functions. Besides flexibility and accuracy, a key benefit of…

Machine Learning · Statistics 2015-05-20 Alhussein Fawzi , Mathieu Sinn , Pascal Frossard

Recently, contrastive learning has found impressive success in advancing the state of the art in solving various machine learning tasks. However, the existing generalization analysis is very limited or even not meaningful. In particular,…

Machine Learning · Computer Science 2023-03-01 Yunwen Lei , Tianbao Yang , Yiming Ying , Ding-Xuan Zhou

We study consistency properties of surrogate loss functions for general multiclass learning problems, defined by a general multiclass loss matrix. We extend the notion of classification calibration, which has been studied for binary and…

Machine Learning · Computer Science 2015-08-25 Harish G. Ramaswamy , Shivani Agarwal

The well known domain shift issue causes model performance to degrade when deployed to a new target domain with different statistics to training. Domain adaptation techniques alleviate this, but need some instances from the target domain to…

Machine Learning · Computer Science 2019-06-11 Yiying Li , Yongxin Yang , Wei Zhou , Timothy M. Hospedales

A complementary label (CL) simply indicates an incorrect class of an example, but learning with CLs results in multi-class classifiers that can predict the correct class. Unfortunately, the problem setting only allows a single CL for each…

Machine Learning · Computer Science 2022-08-09 Lei Feng , Takuo Kaneko , Bo Han , Gang Niu , Bo An , Masashi Sugiyama

Here we study the problem of learning labels for large text corpora where each text can be assigned a variable number of labels. The problem might seem trivial when the label dimensionality is small and can be easily solved using a series…

Machine Learning · Computer Science 2016-11-02 Sayantan Dasgupta

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro

Contrastive learning is a highly effective method for learning representations from unlabeled data. Recent works show that contrastive representations can transfer across domains, leading to simple state-of-the-art algorithms for…

Machine Learning · Computer Science 2022-05-25 Jeff Z. HaoChen , Colin Wei , Ananya Kumar , Tengyu Ma

Class labels used for machine learning are relatable to each other, with certain class labels being more similar to each other than others (e.g. images of cats and dogs are more similar to each other than those of cats and cars). Such…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Gautam Rajendrakumar Gare , John Michael Galeotti

One-class learning is the classic problem of fitting a model to the data for which annotations are available only for a single class. In this paper, we explore novel objectives for one-class learning, which we collectively refer to as…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Anoop Cherian , Jue Wang

Imbalance in classification tasks is commonly quantified by the cardinalities of examples across classes. This, however, disregards the presence of redundant examples and inherent differences in the learning difficulties of classes.…

Machine Learning · Computer Science 2026-01-22 Çağrı Eser , Zeynep Sonat Baltacı , Emre Akbaş , Sinan Kalkan

Catastrophic forgetting in continual learning is often measured at the performance or last-layer representation level, overlooking the underlying mechanisms. We introduce a mechanistic framework that offers a geometric interpretation of…

Machine Learning · Computer Science 2026-04-21 Sergi Masip , Gido M. van de Ven , Javier Ferrando , Tinne Tuytelaars

Learning problems in the text processing domain often map the text to a space whose dimensions are the measured features of the text, e.g., its words. Three characteristic properties of this domain are (a) very high dimensionality, (b) both…

cmp-lg · Computer Science 2008-02-03 Ido Dagan , Yael Karov , Dan Roth
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