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We apply both distance-based (Jin and Matteson, 2017) and kernel-based (Pfister et al., 2016) mutual dependence measures to independent component analysis (ICA), and generalize dCovICA (Matteson and Tsay, 2017) to MDMICA, minimizing…

Methodology · Statistics 2018-05-18 Ze Jin , David S. Matteson

We study active feature selection, a novel feature selection setting in which unlabeled data is available, but the budget for labels is limited, and the examples to label can be actively selected by the algorithm. We focus on feature…

Machine Learning · Computer Science 2021-12-30 Shachar Schnapp , Sivan Sabato

Feature selection is popular for obtaining small, interpretable, yet highly accurate prediction models. Conventional feature-selection methods typically yield one feature set only, which might not suffice in some scenarios. For example,…

Machine Learning · Computer Science 2025-02-07 Jakob Bach

Impartial selection problems are concerned with the selection of one or more agents from a set based on mutual nominations from within the set. To avoid strategic nominations of the agents, the axiom of impartiality requires that the…

Computer Science and Game Theory · Computer Science 2024-10-01 Javier Cembrano , Max Klimm , Arturo Merino

We consider the problem of screening features in an ultrahigh-dimensional setting. Using maximum correlation, we develop a novel procedure called MC-SIS for feature screening, and show that MC-SIS possesses the sure screen property without…

Methodology · Statistics 2015-11-09 Qiming Huang , Yu Zhu

Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the…

Machine Learning · Statistics 2017-10-17 Philemon Brakel , Yoshua Bengio

Recent discussion of the success of feature selection methods has argued that focusing on a relatively small number of features has been counterproductive. Instead, it is suggested, the number of significant features can be in the thousands…

Statistics Theory · Mathematics 2014-07-10 Peter Hall , Jiashun Jin , Hugh Miller

The multivariate Hilbert-Schmidt-Independence-Criterion (dHSIC) and distance multivariance allow to measure and test independence of an arbitrary number of random vectors with arbitrary dimensions. Here we define versions which only depend…

Statistics Theory · Mathematics 2020-04-17 Björn Böttcher

Unsupervised feature selection aims to identify a compact subset of features that captures the intrinsic structure of data without supervised label. Most existing studies evaluate the performance of methods using the single-label dataset…

Machine Learning · Computer Science 2026-02-10 Gyu-Il Kim , Dae-Won Kim , Jaesung Lee

Many machine learning applications such as in vision, biology and social networking deal with data in high dimensions. Feature selection is typically employed to select a subset of features which im- proves generalization accuracy as well…

Machine Learning · Computer Science 2016-06-15 Yamuna Prasad , Dinesh Khandelwal , K. K. Biswas

For many data-intensive tasks, feature selection is an important preprocessing step. However, most existing methods do not directly and intuitively explore the intrinsic discriminative information of features. We propose a novel feature…

Machine Learning · Computer Science 2024-01-17 Chunxu Cao , Qiang Zhang

Cold-start challenges in recommender systems necessitate leveraging auxiliary features beyond user-item interactions. However, the presence of irrelevant or noisy features can degrade predictive performance, whereas an excessive number of…

Information Retrieval · Computer Science 2025-08-11 Nikita Sukhorukov , Danil Gusak , Evgeny Frolov

Feature selection is frequently used as a pre-processing step to machine learning. It is a process of choosing a subset of original features so that the feature space is optimally reduced according to a certain evaluation criterion. The…

Computer Vision and Pattern Recognition · Computer Science 2014-01-07 Vijendra Singh , Shivani Pathak

In this paper, a novel semi-supervised dictionary learning and sparse representation (SS-DLSR) is proposed. The proposed method benefits from the supervisory information by learning the dictionary in a space where the dependency between the…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Mehrdad J. Gangeh , Safaa M. A. Bedawi , Ali Ghodsi , Fakhri Karray

Determining the most appropriate features for machine learning predictive models is challenging regarding performance and feature acquisition costs. In particular, global feature choice is limited given that some features will only benefit…

Machine Learning · Computer Science 2026-03-17 Gabriel Bernardino , Anders Jonsson , Patrick Clarysse , Nicolas Duchateau

Feature selection is a process of choosing a subset of relevant features so that the quality of prediction models can be improved. An extensive body of work exists on information-theoretic feature selection, based on maximizing Mutual…

Machine Learning · Computer Science 2016-12-05 Jilin Wu , Soumyajit Gupta , Chandrajit Bajaj

This paper provides a unifying view of optimal kernel hypothesis testing across the MMD two-sample, HSIC independence, and KSD goodness-of-fit frameworks. Minimax optimal separation rates in the kernel and $L^2$ metrics are presented, with…

Machine Learning · Statistics 2025-12-30 Antonin Schrab

We study the problem of nonparametric dependence detection. Many existing methods may suffer severe power loss due to non-uniform consistency, which we illustrate with a paradox. To avoid such power loss, we approach the nonparametric test…

Statistics Theory · Mathematics 2020-04-14 Kai Zhang

Feature selection (FS) is a process which attempts to select more informative features. In some cases, too many redundant or irrelevant features may overpower main features for classification. Feature selection can remedy this problem and…

Machine Learning · Computer Science 2013-06-07 A. Nisthana Parveen , H. Hannah Inbarani , E. N. Sathishkumar

We describe a data-efficient, kernel-based approach to statistical testing of conditional independence. A major challenge of conditional independence testing is to obtain the correct test level (the specified upper bound on the rate of…

Machine Learning · Computer Science 2025-09-23 Roman Pogodin , Antonin Schrab , Yazhe Li , Danica J. Sutherland , Arthur Gretton
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