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In contrast to conventional (single-label) classification, the setting of multilabel classification (MLC) allows an instance to belong to several classes simultaneously. Thus, instead of selecting a single class label, predictions take the…

Machine Learning · Computer Science 2020-01-27 Vu-Linh Nguyen , Eyke Hüllermeier

A family of maximum mean discrepancy (MMD) kernel two-sample tests is introduced. Members of the test family are called Block-tests or B-tests, since the test statistic is an average over MMDs computed on subsets of the samples. The choice…

Machine Learning · Computer Science 2014-02-11 Wojciech Zaremba , Arthur Gretton , Matthew Blaschko

We consider the variable selection problem for two-sample tests, aiming to select the most informative variables to determine whether two collections of samples follow the same distribution. To address this, we propose a novel framework…

Machine Learning · Statistics 2024-12-23 Jie Wang , Santanu S. Dey , Yao Xie

Many recent theoretical works on \emph{meta-learning} aim to achieve guarantees in leveraging similar representational structures from related tasks towards simplifying a target task. The main aim of theoretical guarantees on the subject is…

Machine Learning · Statistics 2025-05-21 Dimitri Meunier , Zhu Li , Arthur Gretton , Samory Kpotufe

Two-sample hypothesis testing for random graphs arises naturally in neuroscience, social networks, and machine learning. In this paper, we consider a semiparametric problem of two-sample hypothesis testing for a class of latent position…

Methodology · Statistics 2015-06-19 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

In the AutoML domain, test accuracy is heralded as the quintessential metric for evaluating model efficacy, underpinning a wide array of applications from neural architecture search to hyperparameter optimization. However, the reliability…

Machine Learning · Computer Science 2024-09-24 Pawel Pukowski , Haiping Lu

We present a universal method to include residual un-modeled background shape uncertainties in likelihood based statistical tests for high energy physics and astroparticle physics. This approach provides a simple and natural protection…

Data Analysis, Statistics and Probability · Physics 2017-05-10 Nadav Priel , Ludwig Rauch , Hagar Landsman , Alessandro Manfredini , Ranny Budnik

In a broad range of classification and decision making problems, one is given the advice or predictions of several classifiers, of unknown reliability, over multiple questions or queries. This scenario is different from the standard…

Machine Learning · Statistics 2014-02-07 Fabio Parisi , Francesco Strino , Boaz Nadler , Yuval Kluger

Multilabel classification is a relatively recent subfield of machine learning. Unlike to the classical approach, where instances are labeled with only one category, in multilabel classification, an arbitrary number of categories is chosen…

Artificial Intelligence · Computer Science 2013-03-01 Alfonso E. Romero , Luis M. de Campos

Neural networks trained on real-world datasets with long-tailed label distributions are biased towards frequent classes and perform poorly on infrequent classes. The imbalance in the ratio of positive and negative samples for each class…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Kevin Duarte , Yogesh S. Rawat , Mubarak Shah

Learning with label dependent label noise has been extensively explored in both theory and practice; however, dealing with instance (i.e., feature) and label dependent label noise continues to be a challenging task. The difficulty arises…

Machine Learning · Statistics 2023-06-07 Hyungki Im , Paul Grigas

With the advent of kernel methods, automating the task of specifying a suitable kernel has become increasingly important. In this context, the Multiple Kernel Learning (MKL) problem of finding a combination of pre-specified base kernels…

Machine Learning · Computer Science 2012-07-03 Abhishek Kumar , Alexandru Niculescu-Mizil , Koray Kavukcuoglu , Hal Daume

Classification, the process of assigning a label (or class) to an observation given its features, is a common task in many applications. Nonetheless in most real-life applications, the labels can not be fully explained by the observed…

Machine Learning · Statistics 2018-11-07 Johan Barthélemy , Morgane Dumont , Timoteo Carletti

In various situations one is given only the predictions of multiple classifiers over a large unlabeled test data. This scenario raises the following questions: Without any labeled data and without any a-priori knowledge about the…

Machine Learning · Statistics 2014-10-31 Ariel Jaffe , Boaz Nadler , Yuval Kluger

Reinforcement Learning (RL) problems are being considered under increasingly more complex structures. While tabular and linear models have been thoroughly explored, the analytical study of RL under nonlinear function approximation,…

Machine Learning · Computer Science 2025-09-12 Aya Kayal , Sattar Vakili , Laura Toni , Alberto Bernacchia

We present a machine learning approach for model-independent new physics searches. The corresponding algorithm is powered by recent large-scale implementations of kernel methods, nonparametric learning algorithms that can approximate any…

High Energy Physics - Phenomenology · Physics 2022-10-17 Marco Letizia , Gianvito Losapio , Marco Rando , Gaia Grosso , Andrea Wulzer , Maurizio Pierini , Marco Zanetti , Lorenzo Rosasco

The Maximum Mean Discrepancy (MMD) has been the state-of-the-art nonparametric test for tackling the two-sample problem. Its statistic is given by the difference in expectations of the witness function, a real-valued function defined as a…

Machine Learning · Computer Science 2022-02-14 Jonas M. Kübler , Wittawat Jitkrittum , Bernhard Schölkopf , Krikamol Muandet

Assume that we have a random sample from an absolutely continuous distribution (univariate, or multivariate) with a known functional form and some unknown parameters. In this paper, we have studied several parametric tests based on…

Statistics Theory · Mathematics 2024-05-14 Rahul Singh , Neeraj Misra

Kernel-based hypothesis tests offer a flexible, non-parametric tool to detect high-order interactions in multivariate data, beyond pairwise relationships. Yet the scalability of such tests is limited by the computationally demanding…

Methodology · Statistics 2025-06-09 Zhaolu Liu , Robert L. Peach , Mauricio Barahona

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
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