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The classical PAC sample complexity bounds are stated for any Empirical Risk Minimizer (ERM) and contain an extra logarithmic factor $\log(1/{\epsilon})$ which is known to be necessary for ERM in general. It has been recently shown by…

Machine Learning · Computer Science 2020-05-26 Olivier Bousquet , Steve Hanneke , Shay Moran , Nikita Zhivotovskiy

Complex classifiers may exhibit "embarassing" failures in cases where humans can easily provide a justified classification. Avoiding such failures is obviously of key importance. In this work, we focus on one such setting, where a label is…

Machine Learning · Computer Science 2019-06-14 Deborah Cohen , Amit Daniely , Amir Globerson , Gal Elidan

Laws of large numbers guarantee that given a large enough sample from some population, the measure of any fixed sub-population is well-estimated by its frequency in the sample. We study laws of large numbers in sampling processes that can…

Machine Learning · Computer Science 2021-01-25 Noga Alon , Omri Ben-Eliezer , Yuval Dagan , Shay Moran , Moni Naor , Eylon Yogev

Deep learning models can suffer from severe performance degradation when relying on spurious correlations between input features and labels, making the models perform well on training data but have poor prediction accuracy for minority…

Machine Learning · Computer Science 2025-02-17 Tao Wen , Zihan Wang , Quan Zhang , Qi Lei

We study the problem of learning generalized linear models under adversarial corruptions. We analyze a classical heuristic called the iterative trimmed maximum likelihood estimator which is known to be effective against label corruptions in…

Machine Learning · Computer Science 2022-10-25 Pranjal Awasthi , Abhimanyu Das , Weihao Kong , Rajat Sen

We present an information-theoretic framework for bounding the number of labeled samples needed to train a classifier in a parametric Bayesian setting. We derive bounds on the average $L_p$ distance between the learned classifier and the…

Information Theory · Computer Science 2017-11-20 Matthew Nokleby , Ahmad Beirami , Robert Calderbank

We consider learning methods based on the regularization of a convex empirical risk by a squared Hilbertian norm, a setting that includes linear predictors and non-linear predictors through positive-definite kernels. In order to go beyond…

Machine Learning · Computer Science 2019-06-19 Ulysse Marteau-Ferey , Dmitrii Ostrovskii , Francis Bach , Alessandro Rudi

Label Ranking (LR) corresponds to the problem of learning a hypothesis that maps features to rankings over a finite set of labels. We adopt a nonparametric regression approach to LR and obtain theoretical performance guarantees for this…

Machine Learning · Computer Science 2022-02-11 Dimitris Fotakis , Alkis Kalavasis , Eleni Psaroudaki

Previous LLMs-based RL studies typically follow either supervised learning with high annotation costs, or unsupervised paradigms using voting or entropy-based rewards. However, their performance remains far from satisfactory due to the…

Machine Learning · Computer Science 2026-04-22 Zhiyin Yu , Bo Zhang , Qibin Hou , Zhonghai Wu , Xiao Luo , Lei Bai

We propose a learning algorithm capable of learning from label proportions instead of direct data labels. In this scenario, our data are arranged into various bags of a certain size, and only the proportions of each label within a given bag…

Machine Learning · Computer Science 2019-06-27 Gabriel Dulac-Arnold , Neil Zeghidour , Marco Cuturi , Lucas Beyer , Jean-Philippe Vert

We propose a new approach to address the text classification problems when learning with partial labels is beneficial. Instead of offering each training sample a set of candidate labels, we assign negative-oriented labels to the ambiguous…

Machine Learning · Statistics 2019-06-11 Jiangning Chen , Zhibo Dai , Juntao Duan , Qianli Hu , Ruilin Li , Heinrich Matzinger , Ionel Popescu , Haoyan Zhai

Partial-label learning (PLL) is a multi-class classification problem, where each training example is associated with a set of candidate labels. Even though many practical PLL methods have been proposed in the last two decades, there lacks a…

Machine Learning · Computer Science 2020-10-26 Lei Feng , Jiaqi Lv , Bo Han , Miao Xu , Gang Niu , Xin Geng , Bo An , Masashi Sugiyama

The Predictive Normalized Maximum Likelihood (pNML) scheme has been recently suggested for universal learning in the individual setting, where both the training and test samples are individual data. The goal of universal learning is to…

Machine Learning · Computer Science 2020-01-09 Koby Bibas , Yaniv Fogel , Meir Feder

We address the problem of active logistic regression in the realizable setting. It is well known that active learning can require exponentially fewer label queries compared to passive learning, in some cases using $\log \frac{1}{\eps}$…

Machine Learning · Computer Science 2025-04-21 Yihan Zhou , Eric Price , Trung Nguyen

The ability to rigorously estimate the failure rates of large language models (LLMs) is a prerequisite for their safe deployment. Currently, however, practitioners often face a tradeoff between expensive human gold standards and potentially…

Computation and Language · Computer Science 2026-04-07 Minghe Shen , Ananth Balashankar , Adam Fisch , David Madras , Miguel Rodrigues

Many algorithms for aligning LLMs with human preferences assume that human preferences are binary and deterministic. However, human preferences can vary across individuals, and therefore should be represented distributionally. In this work,…

Machine Learning · Computer Science 2024-12-31 Hiroki Furuta , Kuang-Huei Lee , Shixiang Shane Gu , Yutaka Matsuo , Aleksandra Faust , Heiga Zen , Izzeddin Gur

A key issue in statistics and machine learning is to automatically select the "right" model complexity, e.g., the number of neighbors to be averaged over in k nearest neighbor (kNN) regression or the polynomial degree in regression with…

Machine Learning · Computer Science 2010-10-04 Marcus Hutter , Minh-Ngoc Tran

Statistical performance bounds for reinforcement learning (RL) algorithms can be critical for high-stakes applications like healthcare. This paper introduces a new framework for theoretically measuring the performance of such algorithms…

Machine Learning · Computer Science 2018-01-03 Christoph Dann , Tor Lattimore , Emma Brunskill

Supervised learning with large-scale data usually leads to complex optimization problems, especially for classification tasks with multiple classes. Stochastic subgradient methods can enable efficient learning with a large number of samples…

Machine Learning · Computer Science 2025-11-25 Kartheek Bondugula , Santiago Mazuelas , Aritz Pérez

By allowing models to predict without task-specific training, in-context learning (ICL) with pretrained LLMs has enormous potential in NLP. However, a number of problems persist in ICL. In particular, its performance is sensitive to the…

Computation and Language · Computer Science 2024-02-20 Zhichao Xu , Daniel Cohen , Bei Wang , Vivek Srikumar