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Related papers: Samplability makes learning easier

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We study PAC and online learnability of hypothesis classes formed by copies of a countably infinite graph G, where each copy is induced by permuting G's vertices. This corresponds to learning a graph's labeling, knowing its structure and…

Machine Learning · Computer Science 2025-07-18 Vittorio Cipriani , Valentino Delle Rose , Luca San Mauro , Giovanni Solda

A new class of functions is presented. The structure of the algorithm, particularly the selection criteria (branching), is used to define the fundamental property of the new class. The most interesting property of the new functions is that…

Computational Complexity · Computer Science 2020-02-25 Rade Vuckovac

Query-driven machine learning models have emerged as a promising estimation technique for query selectivities. Yet, surprisingly little is known about the efficacy of these techniques from a theoretical perspective, as there exist…

Machine Learning · Statistics 2026-05-19 Peizhi Wu , Haoshu Xu , Ryan Marcus , Zachary G. Ives

We introduce a new notion of complexity of functions and we show that it has the following properties: (i) it governs a PAC Bayes-like generalization bound, (ii) for neural networks it relates to natural notions of complexity of functions…

Machine Learning · Computer Science 2023-03-15 Grzegorz Głuch , Rudiger Urbanke

Many techniques in computer vision, machine learning, and statistics rely on the fact that a signal of interest admits a sparse representation over some dictionary. Dictionaries are either available analytically, or can be learned from a…

Computer Vision and Pattern Recognition · Computer Science 2013-03-22 Simon Hawe , Matthias Seibert , Martin Kleinsteuber

In order to model an efficient learning paradigm, iterative learning algorithms access data one by one, updating the current hypothesis without regress to past data. Past research on iterative learning analyzed for example many important…

Machine Learning · Computer Science 2021-04-29 Ardalan Khazraei , Timo Kötzing , Karen Seidel

We study the problem of multiclass PAC learning with bandit feedback in the realizable setting. In this framework, there is an unknown data distribution over an instance space $\mathcal{X}$ and a label space $\mathcal{Y}$, as in classical…

Machine Learning · Statistics 2026-05-27 Steve Hanneke , Qinglin Meng , Shay Moran , Amirreza Shaeiri

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

We study the problem of learning robust classifiers where the classifier will receive a perturbed input. Unlike robust PAC learning studied in prior work, here the clean data and its label are also adversarially chosen. We formulate this…

Machine Learning · Computer Science 2026-03-02 Sajad Ashkezari

The majority of machine learning methods and algorithms give high priority to prediction performance which may not always correspond to the priority of the users. In many cases, practitioners and researchers in different fields, going from…

In statistical setting of the pattern recognition problem the number of examples required to approximate an unknown labelling function is linear in the VC dimension of the target learning class. In this work we consider the question whether…

Machine Learning · Computer Science 2016-06-27 Daniil Ryabko

The sample complexity of learning a Boolean-valued function class is precisely characterized by its Rademacher complexity. This has little bearing, however, on the sample complexity of \emph{efficient} agnostic learning. We introduce…

Machine Learning · Computer Science 2017-12-01 Pravesh K. Kothari , Roi Livni

We study the computational tractability of PAC reinforcement learning with rich observations. We present new provably sample-efficient algorithms for environments with deterministic hidden state dynamics and stochastic rich observations.…

Machine Learning · Computer Science 2019-01-18 Christoph Dann , Nan Jiang , Akshay Krishnamurthy , Alekh Agarwal , John Langford , Robert E. Schapire

Continual Learning (CL) methods usually learn from all available data. However, this is not the case in human cognition which efficiently focuses on key experiences while disregarding the redundant information. Similarly, not all data…

Machine Learning · Computer Science 2024-10-24 Elif Ceren Gok Yildirim , Murat Onur Yildirim , Joaquin Vanschoren

Active learning aims to identify the most informative data from an unlabeled data pool that enables a model to reach the desired accuracy rapidly. This benefits especially deep neural networks which generally require a huge number of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Jihyo Kim , Jeonghyeon Kim , Sangheum Hwang

In Semi-Supervised Semi-Private (SP) learning, the learner has access to both public unlabelled and private labelled data. We propose a computationally efficient algorithm that, under mild assumptions on the data, provably achieves…

Machine Learning · Computer Science 2023-06-08 Francesco Pinto , Yaxi Hu , Fanny Yang , Amartya Sanyal

Metric learning seeks a transformation of the feature space that enhances prediction quality for the given task at hand. In this work we provide PAC-style sample complexity rates for supervised metric learning. We give matching lower- and…

Machine Learning · Computer Science 2015-05-12 Nakul Verma , Kristin Branson

We provide a computational complexity lens to understand the power of machine learning models, particularly their ability to model complex systems. Machine learning models are often trained on data drawn from sampleable or more complex…

Machine Learning · Computer Science 2026-04-09 Lance Fortnow

Algorithmic learning theory traditionally studies the learnability of effective infinite binary sequences (reals), while recent work by [Vitanyi and Chater, 2017] and [Bienvenu et al., 2014] has adapted this framework to the study of…

Logic · Mathematics 2018-07-17 George Barmpalias , Nan Fang , Frank Stephan

This work establishes a novel link between the problem of PAC-learning high-dimensional graphical models and the task of (efficient) counting and sampling of graph structures, using an online learning framework. We observe that if we apply…

Machine Learning · Computer Science 2025-11-14 Arnab Bhattacharyya , Sutanu Gayen , Philips George John , Sayantan Sen , N. V. Vinodchandran