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In this work we study the quantitative relation between VC-dimension and two other basic parameters related to learning and teaching. Namely, the quality of sample compression schemes and of teaching sets for classes of low VC-dimension.…

Machine Learning · Computer Science 2016-11-28 Shay Moran , Amir Shpilka , Avi Wigderson , Amir Yehudayoff

Data minimisation is a privacy-enhancing principle considered as one of the pillars of personal data regulations. This principle dictates that personal data collected should be no more than necessary for the specific purpose consented by…

Cryptography and Security · Computer Science 2016-11-18 Thibaud Antignac , David Sands , Gerardo Schneider

We consider the problem of classification with a (peer-to-peer) network of heterogeneous and partially informative agents, each receiving local data generated by an underlying true class, and equipped with a classifier that can only…

Machine Learning · Computer Science 2024-10-01 Tong Yao , Shreyas Sundaram

We study non-convex empirical risk minimization for learning halfspaces and neural networks. For loss functions that are $L$-Lipschitz continuous, we present algorithms to learn halfspaces and multi-layer neural networks that achieve…

Machine Learning · Computer Science 2015-11-26 Yuchen Zhang , Jason D. Lee , Martin J. Wainwright , Michael I. Jordan

Learning on big data brings success for artificial intelligence (AI), but the annotation and training costs are expensive. In future, learning on small data that approximates the generalization ability of big data is one of the ultimate…

Machine Learning · Computer Science 2023-06-07 Xiaofeng Cao , Weixin Bu , Shengjun Huang , Minling Zhang , Ivor W. Tsang , Yew Soon Ong , James T. Kwok

Learning algorithms that learn linear models often have high representation bias on real-world problems. In this paper, we show that this representation bias can be greatly reduced by discretization. Discretization is a common procedure in…

Machine Learning · Computer Science 2017-01-26 Nayyar A. Zaidi , Yang Du , Geoffrey I. Webb

Deep learning has yielded extraordinary results in vision and natural language processing, but this achievement comes at a cost. Most models require enormous resources during training, both in terms of computation and in human labeling…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Srikumar Ramalingam , Daniel Glasner , Kaushal Patel , Raviteja Vemulapalli , Sadeep Jayasumana , Sanjiv Kumar

For many learning problems one may not have access to fine grained label information; e.g., an image can be labeled as husky, dog, or even animal depending on the expertise of the annotator. In this work, we formalize these settings and…

Machine Learning · Computer Science 2023-03-27 Dimitris Fotakis , Alkis Kalavasis , Vasilis Kontonis , Christos Tzamos

In analogy to compressed sensing, which allows sample-efficient signal reconstruction given prior knowledge of its sparsity in frequency domain, we propose to utilize policy simplicity (Occam's Razor) as a prior to enable sample-efficient…

Machine Learning · Computer Science 2020-09-25 Nathan Zhao , Beicheng Lou

Based on limited observations, machine learning discerns a dependence which is expected to hold in the future. What makes it possible? Statistical learning theory imagines indefinitely increasing training sample to justify its approach. In…

Machine Learning · Computer Science 2025-01-06 Marina Sapir

Consider the task of learning a hypothesis class $\mathcal{H}$ in the presence of an adversary that can replace up to an $\eta$ fraction of the examples in the training set with arbitrary adversarial examples. The adversary aims to fail the…

Machine Learning · Computer Science 2022-10-13 Steve Hanneke , Amin Karbasi , Mohammad Mahmoody , Idan Mehalel , Shay Moran

We examine the relationship between the mutual information between the output model and the empirical sample and the generalization of the algorithm in the context of stochastic convex optimization. Despite increasing interest in…

Machine Learning · Computer Science 2024-01-17 Roi Livni

We present a novel, domain-agnostic, model-independent, unsupervised, and universally applicable Machine Learning approach for dimensionality reduction based on the principles of algorithmic complexity. Specifically, but without loss of…

Data Structures and Algorithms · Computer Science 2025-05-06 Hector Zenil , Narsis A. Kiani , Alyssa Adams , Felipe S. Abrahão , Antonio Rueda-Toicen , Allan A. Zea , Luan Ozelim , Jesper Tegnér

Minimizing the empirical risk is a popular training strategy, but for learning tasks where the data may be noisy or heavy-tailed, one may require many observations in order to generalize well. To achieve better performance under less…

Machine Learning · Statistics 2018-10-16 Matthew J. Holland , Kazushi Ikeda

We consider the following basic learning task: given independent draws from an unknown distribution over a discrete support, output an approximation of the distribution that is as accurate as possible in $\ell_1$ distance (i.e. total…

Machine Learning · Computer Science 2015-11-12 Gregory Valiant , Paul Valiant

The vast majority of optimization and online learning algorithms today require some prior information about the data (often in the form of bounds on gradients or on the optimal parameter value). When this information is not available, these…

Machine Learning · Computer Science 2017-06-07 Ashok Cutkosky , Kwabena Boahen

The use of multiple Decision Models (DMs) enables to enhance the accuracy in decisions and at the same time allows users to evaluate the confidence in decision making. In this paper we explore the ability of multiple DMs to learn from a…

Artificial Intelligence · Computer Science 2008-05-27 Vitaly Schetinin , Dayou Li , Carsten Maple

In this paper, we study a simple and generic framework to tackle the problem of learning model parameters when a fraction of the training samples are corrupted. We first make a simple observation: in a variety of such settings, the…

Machine Learning · Computer Science 2019-02-20 Yanyao Shen , Sujay Sanghavi

Information-theoretic bounded rationality describes utility-optimizing decision-makers whose limited information-processing capabilities are formalized by information constraints. One of the consequences of bounded rationality is that…

Machine Learning · Computer Science 2020-06-30 Heinke Hihn , Sebastian Gottwald , Daniel A. Braun

A commonly used learning rule is to approximately minimize the \emph{average} loss over the training set. Other learning algorithms, such as AdaBoost and hard-SVM, aim at minimizing the \emph{maximal} loss over the training set. The average…

Machine Learning · Computer Science 2016-05-24 Shai Shalev-Shwartz , Yonatan Wexler