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We investigate the problem of jointly testing a pair of composite hypotheses and, depending on the test result, estimating a random parameter under distributional uncertainties. Specifically, it is assumed that the distribution of the data…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

A two-sample hypothesis test is a statistical procedure used to determine whether the distributions generating two samples are identical. We consider the two-sample testing problem in a new scenario where the sample measurements (or sample…

Machine Learning · Computer Science 2024-07-01 Weizhi Li , Prad Kadambi , Pouria Saidi , Karthikeyan Natesan Ramamurthy , Gautam Dasarathy , Visar Berisha

We study the problem of testing discrete distributions with a focus on the high probability regime. Specifically, given samples from one or more discrete distributions, a property $\mathcal{P}$, and parameters $0< \epsilon, \delta <1$, we…

Data Structures and Algorithms · Computer Science 2020-09-15 Ilias Diakonikolas , Themis Gouleakis , Daniel M. Kane , John Peebles , Eric Price

Semi-supervised image classification, leveraging pseudo supervision and consistency regularization, has demonstrated remarkable success. However, the ongoing challenge lies in fully exploiting the potential of unlabeled data. To address…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Qi Han , Zhibo Tian , Chengwei Xia , Kun Zhan

Hypothesis testing is a statistical inference approach used to determine whether data supports a specific hypothesis. An important type is the two-sample test, which evaluates whether two sets of data points are from identical…

Machine Learning · Computer Science 2025-01-08 Weizhi Li , Visar Berisha , Gautam Dasarathy

We consider the closeness testing problem for discrete distributions. The goal is to distinguish whether two samples are drawn from the same unspecified distribution, or whether their respective distributions are separated in $L_1$-norm. In…

Statistics Theory · Mathematics 2021-01-20 Joseph Lam-Weil , Alexandra Carpentier , Bharath K. Sriperumbudur

Most semi-supervised learning methods over-sample labeled data when constructing training mini-batches. This paper studies whether this common practice improves learning and how. We compare it to an alternative setting where each mini-batch…

Machine Learning · Computer Science 2022-04-11 Miquel Martí i Rabadán , Sebastian Bujwid , Alessandro Pieropan , Hossein Azizpour , Atsuto Maki

Semi-supervised multi-label learning (SSMLL) aims to address the challenge of limited labeled data in multi-label learning (MLL) by leveraging unlabeled data to improve the model's performance. While pseudo-labeling has become a dominant…

Machine Learning · Computer Science 2025-12-03 Bo Han , Zhuoming Li , Xiaoyu Wang , Yaxin Hou , Hui Liu , Junhui Hou , Yuheng Jia

We study a hypothesis testing problem in which data is compressed distributively and sent to a detector that seeks to decide between two possible distributions for the data. The aim is to characterize all achievable encoding rates and…

Information Theory · Computer Science 2011-02-01 Md. Saifur Rahman , Aaron B. Wagner

Transductive inference is widely used in few-shot learning, as it leverages the statistics of the unlabeled query set of a few-shot task, typically yielding substantially better performances than its inductive counterpart. The current…

Machine Learning · Computer Science 2022-04-26 Olivier Veilleux , Malik Boudiaf , Pablo Piantanida , Ismail Ben Ayed

In supervised machine learning, models are typically trained using data with hard labels, i.e., definite assignments of class membership. This traditional approach, however, does not take the inherent uncertainty in these labels into…

Machine Learning · Computer Science 2024-09-25 Sjoerd de Vries , Dirk Thierens

Given a set of incomplete observations, we study the nonparametric problem of testing whether data are Missing Completely At Random (MCAR). Our first contribution is to characterise precisely the set of alternatives that can be…

Statistics Theory · Mathematics 2022-05-19 Thomas B Berrett , Richard J Samworth

This paper studies the problem of learning an unknown function $f$ from given data about $f$. The learning problem is to give an approximation $\hat f$ to $f$ that predicts the values of $f$ away from the data. There are numerous settings…

Machine Learning · Computer Science 2023-06-27 Peter Binev , Andrea Bonito , Ronald DeVore , Guergana Petrova

An assumption often made in supervised learning is that the training and testing sets have the same label distribution. However, in real-life scenarios, this assumption rarely holds. For example, medical diagnosis result distributions…

Machine Learning · Computer Science 2026-04-03 Yunrui Zhang , Gustavo Batista , Salil S. Kanhere

Semi-supervised learning, i.e. jointly learning from labeled and unlabeled samples, is an active research topic due to its key role on relaxing human supervision. In the context of image classification, recent advances to learn from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

Classification is the task of predicting the class labels of objects based on the observation of their features. In contrast, quantification has been defined as the task of determining the prevalences of the different sorts of class labels…

Machine Learning · Statistics 2016-08-15 Dirk Tasche

The inevitable appearance of spurious correlations in training datasets hurts the generalization of NLP models on unseen data. Previous work has found that datasets with paired inputs are prone to correlations between a specific part of the…

Computation and Language · Computer Science 2024-10-10 Yanai Elazar , Bhargavi Paranjape , Hao Peng , Sarah Wiegreffe , Khyathi Raghavi , Vivek Srikumar , Sameer Singh , Noah A. Smith

In this paper we propose strategies for estimating performance of a classifier when labels cannot be obtained for the whole test set. The number of test instances which can be labeled is very small compared to the whole test data size. The…

Machine Learning · Computer Science 2018-02-21 Anurag Kumar , Bhiksha Raj

We consider the problem of detecting (testing) Gaussian stochastic sequences (signals) with imprecisely known means and covariance matrices. The alternative is independent identically distributed zero-mean Gaussian random variables with…

Information Theory · Computer Science 2023-02-28 Marat V. Burnashev

Training and evaluation of fair classifiers is a challenging problem. This is partly due to the fact that most fairness metrics of interest depend on both the sensitive attribute information and label information of the data points. In many…

Machine Learning · Computer Science 2021-02-18 Pranjal Awasthi , Alex Beutel , Matthaeus Kleindessner , Jamie Morgenstern , Xuezhi Wang