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We develop minimax optimal risk bounds for the general learning task consisting in predicting as well as the best function in a reference set G up to the smallest possible additive term, called the convergence rate. When the reference set…

Statistics Theory · Mathematics 2008-03-04 Jean-Yves Audibert

It remains a puzzle that why deep neural networks (DNNs), with more parameters than samples, often generalize well. An attempt of understanding this puzzle is to discover implicit biases underlying the training process of DNNs, such as the…

Machine Learning · Computer Science 2019-05-27 Yaoyu Zhang , Zhi-Qin John Xu , Tao Luo , Zheng Ma

We develop minimax optimal risk bounds for the general learning task consisting in predicting as well as the best function in a reference set $\mathcal{G}$ up to the smallest possible additive term, called the convergence rate. When the…

Statistics Theory · Mathematics 2009-09-09 Jean-Yves Audibert

Multilayer perceptron (MLP), one of the most fundamental neural networks, is extensively utilized for classification and regression tasks. In this paper, we establish a new generalization error bound, which reveals how the variance of…

Machine Learning · Computer Science 2025-08-29 Feijiang Li , Liuya Zhang , Jieting Wang , Tao Yan , Yuhua Qian

This work invokes the notion of $f$-divergence to introduce a novel upper bound on the Bayes error rate of a general classification task. We show that the proposed bound can be computed by sampling from the output of a parameterized model.…

Machine Learning · Computer Science 2025-01-15 Mohammadreza Tavasoli Naeini , Ali Bereyhi , Morteza Noshad , Ben Liang , Alfred O. Hero

The Central Limit Theorem provides a foundation for inferential statistics and hypothesis testing. It describes how standardized statistics behave under repeated sampling from large populations. However, if the size of the sample (n)…

Methodology · Statistics 2026-05-19 Mike Crowhurst

Researchers illustrate improvements in contextual encoding strategies via resultant performance on a battery of shared Natural Language Understanding (NLU) tasks. Many of these tasks are of a categorical prediction variety: given a…

Computation and Language · Computer Science 2019-06-06 Zhongyang Li , Tongfei Chen , Benjamin Van Durme

A data set sampled from a certain population is biased if the subgroups of the population are sampled at proportions that are significantly different from their underlying proportions. Training machine learning models on biased data sets…

Machine Learning · Computer Science 2021-08-30 Jing An , Lexing Ying , Yuhua Zhu

Mini-batch sub-sampling in neural network training is unavoidable, due to growing data demands, memory-limited computational resources such as graphical processing units (GPUs), and the dynamics of on-line learning. In this study we…

Machine Learning · Statistics 2020-04-07 Dominic Kafka , Daniel Wilke

Automated evaluation of open domain natural language generation (NLG) models remains a challenge and widely used metrics such as BLEU and Perplexity can be misleading in some cases. In our paper, we propose to evaluate natural language…

Computation and Language · Computer Science 2020-02-13 Wangchunshu Zhou , Ke Xu

Simpson's paradox, a long-standing statistical phenomenon, describes the reversal of an observed association when data are disaggregated into sub-populations. It has critical implications across statistics, epidemiology, economics, and…

Databases · Computer Science 2025-11-04 Yi Yang , Jian Pei , Jun Yang , Jichun Xie

We present a new family of information-theoretic generalization bounds, in which the training loss and the population loss are compared through a jointly convex function. This function is upper-bounded in terms of the disintegrated,…

Machine Learning · Computer Science 2023-03-28 Fredrik Hellström , Giuseppe Durisi

Many NLP tasks such as tagging and machine reading comprehension are faced with the severe data imbalance issue: negative examples significantly outnumber positive examples, and the huge number of background examples (or easy-negative…

Computation and Language · Computer Science 2020-09-01 Xiaoya Li , Xiaofei Sun , Yuxian Meng , Junjun Liang , Fei Wu , Jiwei Li

Class imbalance in supervised classification often degrades model performance by biasing predictions toward the majority class, particularly in critical applications such as medical diagnosis and fraud detection. Traditional oversampling…

Machine Learning · Statistics 2025-09-16 Suman Cha , Hyunjoong Kim

Knowing exactly how many data points need to be labeled to achieve a certain model performance is a hugely beneficial step towards reducing the overall budgets for annotation. It pertains to both active learning and traditional data…

Computation and Language · Computer Science 2023-07-04 Ernie Chang , Muhammad Hassan Rashid , Pin-Jie Lin , Changsheng Zhao , Vera Demberg , Yangyang Shi , Vikas Chandra

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

Statistics Theory · Mathematics 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

Many modern statistical applications involve a two-level sampling scheme that first samples subjects from a population and then samples observations on each subject. These schemes often are designed to learn both the population-level…

Methodology · Statistics 2024-04-02 Akira Horiguchi , Li Ma , Botond T. Szabó

Pseudo-Labeling is a simple and effective approach to semi-supervised learning. It requires criteria that guide the selection of pseudo-labeled data. The latter have been shown to crucially affect pseudo-labeling's generalization…

Machine Learning · Computer Science 2023-09-27 Julian Rodemann

Learning the minimum/maximum mean among a finite set of distributions is a fundamental sub-task in planning, game tree search and reinforcement learning. We formalize this learning task as the problem of sequentially testing how the minimum…

Machine Learning · Statistics 2018-06-05 Emilie Kaufmann , Wouter Koolen , Aurelien Garivier