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We formulate problems of statistical recognition and learning in a common framework of complex hypothesis testing. Based on arguments from multi-criteria optimization, we identify strategies that are improper for solving these problems and…

Machine Learning · Computer Science 2015-09-30 Michail Schlesinger , Evgeniy Vodolazskiy

Universal supervised learning is considered from an information theoretic point of view following the universal prediction approach, see Merhav and Feder (1998). We consider the standard supervised "batch" learning where prediction is done…

Information Theory · Computer Science 2018-12-27 Yaniv Fogel , Meir Feder

We study the fundamental problem of learning an unknown object from data using a prescribed model class. We introduce a unified framework that accommodates objects in arbitrary Hilbert spaces, general (possibly vector-valued) random linear…

Machine Learning · Computer Science 2026-03-09 Ben Adcock , Juan M. Cardenas , Nick Dexter

We propose a novel framework for incorporating unlabeled data into semi-supervised classification problems, where scenarios involving the minimization of either i) adversarially robust or ii) non-robust loss functions have been considered.…

Decision Focused Learning has emerged as a critical paradigm for integrating machine learning with downstream optimisation. Despite its promise, existing methodologies predominantly rely on probabilistic models and focus narrowly on task…

Machine Learning · Computer Science 2025-03-21 Keivan Shariatmadar , Neil Yorke-Smith , Ahmad Osman , Fabio Cuzzolin , Hans Hallez , David Moens

Training a deep neural network with a small amount of data is a challenging problem as it is vulnerable to overfitting. However, one of the practical difficulties that we often face is to collect many samples. Transfer learning is a…

Machine Learning · Computer Science 2020-07-13 Yunho Jeon , Yongseok Choi , Jaesun Park , Subin Yi , Dongyeon Cho , Jiwon Kim

We derive a novel information-theoretic analysis of the generalization property of meta-learning algorithms. Concretely, our analysis proposes a generic understanding of both the conventional learning-to-learn framework and the modern…

Machine Learning · Computer Science 2021-12-13 Qi Chen , Changjian Shui , Mario Marchand

Since the advent of Large Language Models (LLMs), efforts have largely focused on improving their instruction-following and deductive reasoning abilities, leaving open the question of whether these models can truly discover new knowledge.…

Computation and Language · Computer Science 2025-10-31 Kaiyu He , Zhiyu Chen

Established approaches to obtain generalization bounds in data-driven optimization and machine learning mostly build on solutions from empirical risk minimization (ERM), which depend crucially on the functional complexity of the hypothesis…

Optimization and Control · Mathematics 2022-10-14 Yibo Zeng , Henry Lam

In this work, we propose a simple yet effective meta-learning algorithm in semi-supervised learning. We notice that most existing consistency-based approaches suffer from overfitting and limited model generalization ability, especially when…

Machine Learning · Computer Science 2021-03-18 Xin-Yu Zhang , Taihong Xiao , Haolin Jia , Ming-Ming Cheng , Ming-Hsuan Yang

We introduce a general framework for analyzing learning algorithms based on the notion of self-regularization, which captures implicit complexity control without requiring explicit regularization. This is motivated by previous observations…

Machine Learning · Statistics 2026-03-19 Max Schölpple , Liu Fanghui , Ingo Steinwart

The major challenge in designing a discriminative learning algorithm for predicting structured data is to address the computational issues arising from the exponential size of the output space. Existing algorithms make different assumptions…

Machine Learning · Computer Science 2010-06-29 Shankar Vembu

Learning the similarity between images constitutes the foundation for numerous vision tasks. The common paradigm is discriminative metric learning, which seeks an embedding that separates different training classes. However, the main…

Computer Vision and Pattern Recognition · Computer Science 2021-09-10 Timo Milbich , Karsten Roth , Biagio Brattoli , Björn Ommer

In the Mixup training paradigm, a model is trained using convex combinations of data points and their associated labels. Despite seeing very few true data points during training, models trained using Mixup seem to still minimize the…

Machine Learning · Computer Science 2022-02-22 Muthu Chidambaram , Xiang Wang , Yuzheng Hu , Chenwei Wu , Rong Ge

The fundamental theorem of statistical learning states that for binary classification problems, any Empirical Risk Minimization (ERM) learning rule has close to optimal sample complexity. In this paper we seek for a generic optimal learner…

Machine Learning · Computer Science 2014-05-13 Amit Daniely , Shai Shalev-Shwartz

Semi-supervised learning deals with the problem of how, if possible, to take advantage of a huge amount of not classified data, to perform classification, in situations when, typically, the labelled data are few. Even though this is not…

Statistics Theory · Mathematics 2017-12-18 Alejandro Cholaquidis , Ricardo Fraiman , Mariela Sued

We consider a novel data driven approach for designing learning algorithms that can effectively learn with only a small number of labeled examples. This is crucial for modern machine learning applications where labels are scarce or…

Machine Learning · Computer Science 2021-10-01 Maria-Florina Balcan , Dravyansh Sharma

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko

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

We establish empirical risk minimization principles for active learning by deriving a family of upper bounds on the generalization error. Aligning with empirical observations, the bounds suggest that superior query algorithms can be…

Machine Learning · Statistics 2024-09-17 Vincent Menden , Yahya Saleh , Armin Iske