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Multi-distribution or collaborative learning involves learning a single predictor that works well across multiple data distributions, using samples from each during training. Recent research on multi-distribution learning, focusing on…

Machine Learning · Computer Science 2024-09-27 Kasper Green Larsen , Omar Montasser , Nikita Zhivotovskiy

We consider learning problems where the training set consists of two types of examples: private and public. The goal is to design a learning algorithm that satisfies differential privacy only with respect to the private examples. This…

Machine Learning · Computer Science 2019-10-28 Noga Alon , Raef Bassily , Shay Moran

The rise of connected personal devices together with privacy concerns call for machine learning algorithms capable of leveraging the data of a large number of agents to learn personalized models under strong privacy requirements. In this…

Machine Learning · Computer Science 2018-02-20 Aurélien Bellet , Rachid Guerraoui , Mahsa Taziki , Marc Tommasi

We explore the family of methods "PAC-Bayes with Backprop" (PBB) to train probabilistic neural networks by minimizing PAC-Bayes bounds. We present two training objectives, one derived from a previously known PAC-Bayes bound, and a second…

Machine Learning · Computer Science 2019-10-07 Omar Rivasplata , Vikram M Tankasali , Csaba Szepesvari

The predominance of machine learning models in many spheres of human activity has led to a growing demand for their transparency. The transparency of models makes it possible to discern some factors, such as security or non-discrimination.…

Machine Learning · Computer Science 2026-01-16 Niffa Cheick Oumar Diaby , Thierry Duchesne , Mario Marchand

In this work, we study the trade-off between differential privacy and adversarial robustness under L2-perturbations in the context of learning halfspaces. We prove nearly tight bounds on the sample complexity of robust private learning of…

Machine Learning · Computer Science 2021-03-29 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Thao Nguyen

We consider the problem of PAC-learning decision trees, i.e., learning a decision tree over the n-dimensional hypercube from independent random labeled examples. Despite significant effort, no polynomial-time algorithm is known for learning…

Machine Learning · Computer Science 2008-12-05 Adam Tauman Kalai , Shang-Hua Teng

Two different views on machine learning problem: Applied learning (machine learning with business applications) and Agnostic PAC learning are formalized and compared here. I show that, under some conditions, the theory of PAC Learnable…

Machine Learning · Computer Science 2018-07-30 Marina Sapir

In multi-label classification, the main focus has been to develop ways of learning the underlying dependencies between labels, and to take advantage of this at classification time. Developing better feature-space representations has been…

Machine Learning · Computer Science 2015-02-23 Jesse Read , Fernando Perez-Cruz

We consider the problem of multi-class classification, where a stream of adversarially chosen queries arrive and must be assigned a label online. Unlike traditional bounds which seek to minimize the misclassification rate, we minimize the…

Machine Learning · Computer Science 2021-11-17 Guru Guruganesh , Allen Liu , Jon Schneider , Joshua Wang

Manifold learning is used for dimensionality reduction, with the goal of finding a projection subspace to increase and decrease the inter- and intraclass variances, respectively. However, a bottleneck for subspace learning methods often…

Machine Learning · Computer Science 2021-05-26 Parisa Abdolrahim Poorheravi , Vincent Gaudet

This paper is about the recent notion of computably probably approximately correct learning, which lies between the statistical learning theory where there is no computational requirement on the learner and efficient PAC where the learner…

Machine Learning · Computer Science 2024-07-31 Matthew Harrison-Trainor , Syed Akbari

Personalized learning is a proposed approach to address the problem of data heterogeneity in collaborative machine learning. In a decentralized setting, the two main challenges of personalization are client clustering and data privacy. In…

Machine Learning · Computer Science 2024-06-03 Mohammad Mahdi Maheri , Sandra Siby , Sina Abdollahi , Anastasia Borovykh , Hamed Haddadi

Recent advances in the binary classification setting by Hanneke [2016b] and Larsen [2023] have resulted in optimal PAC learners. These learners leverage, respectively, a clever deterministic subsampling scheme and the classic heuristic of…

Machine Learning · Computer Science 2025-02-10 Mikael Møller Høgsgaard

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

Differentially private (DP) contrastive learning aims to learn general-purpose representations from sensitive data, alleviating the privacy leakage concerns of organizations deploying or sharing embedding models trained on private user…

Cryptography and Security · Computer Science 2026-04-30 Kecen Li , Chen Gong , Zinan Lin , Tianhao Wang , Xiaokui Xiao

We introduce a new and rigorously-formulated PAC-Bayes meta-learning algorithm that solves few-shot learning. Our proposed method extends the PAC-Bayes framework from a single task setting to the meta-learning multiple task setting to…

Machine Learning · Computer Science 2021-11-02 Cuong Nguyen , Thanh-Toan Do , Gustavo Carneiro

Any traditional classification problem in general involves modelling individual classes and in turn classification by evaluating the similarity of the test set with the modelled classes. In this paper, we introduce another approach that…

Statistics Theory · Mathematics 2020-02-07 Snigdha Bhagat , S. D. Joshi

We introduce the problem of learning conditional averages in the PAC framework. The learner receives a sample labeled by an unknown target concept from a known concept class, as in standard PAC learning. However, instead of learning the…

We present new differentially private algorithms for learning a large-margin halfspace. In contrast to previous algorithms, which are based on either differentially private simulations of the statistical query model or on private convex…

Machine Learning · Computer Science 2020-02-25 Huy L. Nguyen , Jonathan Ullman , Lydia Zakynthinou