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Information criteria are an appropriate and widely used tool for solving model selection problems. However, different ways to use them exist, each leading to a more or less precise approximation of the sought model. In this paper, we mainly…

Statistics Theory · Mathematics 2007-06-13 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

In this study, we evaluate several classifiers and focus on selecting a minimal set of appropriate material features. Our objective is to propose and discuss general strategies for reducing the number of descriptors required for material…

Other Condensed Matter · Physics 2025-10-01 Giovanni Trezza , Eliodoro Chiavazzo

We consider the minimum error entropy (MEE) criterion and an empirical risk minimization learning algorithm in a regression setting. A learning theory approach is presented for this MEE algorithm and explicit error bounds are provided in…

Machine Learning · Computer Science 2013-02-26 Ting Hu , Jun Fan , Qiang Wu , Ding-Xuan Zhou

This work proposes and evaluates a novel approach to determine interesting categorical attributes for lists of entities. Once identified, such categories are of immense value to allow constraining (filtering) a current view of a user to…

Databases · Computer Science 2017-11-30 Koninika Pal , Sebastian Michel

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Consider the setting where there are B>1 candidate statistical models, and one is interested in model selection. Two common approaches to solve this problem are to select a single model or to combine the candidate models through model…

Methodology · Statistics 2021-04-22 Qingying Zong , Jonathan R. Bradley

Combining the mutual information criterion with a forward feature selection strategy offers a good trade-off between optimality of the selected feature subset and computation time. However, it requires to set the parameter(s) of the mutual…

Machine Learning · Computer Science 2007-09-26 Damien François , Fabrice Rossi , Vincent Wertz , Michel Verleysen

A plethora of research has been done in the past focusing on predicting student's performance in order to support their development. Many institutions are focused on improving the performance and the education quality; and this can be…

Computers and Society · Computer Science 2020-05-15 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

Information divergence that measures the difference between two nonnegative matrices or tensors has found its use in a variety of machine learning problems. Examples are Nonnegative Matrix/Tensor Factorization, Stochastic Neighbor…

Machine Learning · Computer Science 2014-06-06 Onur Dikmen , Zhirong Yang , Erkki Oja

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

Machine Learning · Computer Science 2012-07-02 Harald Steck

Systems that are based on recursive Bayesian updates for classification limit the cost of evidence collection through certain stopping/termination criteria and accordingly enforce decision making. Conventionally, two termination criteria…

Machine Learning · Computer Science 2021-04-27 Aziz Kocanaogullari , Murat Akcakaya , Deniz Erdogmus

Deep learning has yielded extraordinary results in vision and natural language processing, but this achievement comes at a cost. Most models require enormous resources during training, both in terms of computation and in human labeling…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Srikumar Ramalingam , Daniel Glasner , Kaushal Patel , Raviteja Vemulapalli , Sadeep Jayasumana , Sanjiv Kumar

Feature selection has remained a daunting challenge in machine learning and artificial intelligence, where increasingly complex, high-dimensional datasets demand principled strategies for isolating the most informative predictors. Despite…

Machine Learning · Statistics 2025-12-02 Mousam Sinha , Tirtha Sarathi Ghosh , Ridam Pal

Many-Objective Feature Selection (MOFS) approaches use four or more objectives to determine the relevance of a subset of features in a supervised learning task. As a consequence, MOFS typically returns a large set of non-dominated…

Machine Learning · Computer Science 2023-12-01 Uchechukwu F. Njoku , Alberto Abelló , Besim Bilalli , Gianluca Bontempi

This paper investigates, from information theoretic grounds, a learning problem based on the principle that any regularity in a given dataset can be exploited to extract compact features from data, i.e., using fewer bits than needed to…

Machine Learning · Statistics 2018-11-14 Matías Vera , Leonardo Rey Vega , Pablo Piantanida

Feature selection has drawn much attention over the last decades in machine learning because it can reduce data dimensionality while maintaining the original physical meaning of features, which enables better interpretability than feature…

Machine Learning · Computer Science 2022-09-27 Yiwen Liao , Jochen Rivoir , Raphaël Latty , Bin Yang

Parameterless stopping criteria for recursive polynomial expansions to construct the density matrix in electronic structure calculations are proposed. Based on convergence order estimation the new stopping criteria automatically and…

Computational Physics · Physics 2017-01-13 Anastasia Kruchinina , Elias Rudberg , Emanuel H. Rubensson

An important line of research in the field of explainability is to extract a small subset of crucial rationales from the full input. The most widely used criterion for rationale extraction is the maximum mutual information (MMI) criterion.…

Machine Learning · Computer Science 2024-10-23 Wei Liu , Zhiying Deng , Zhongyu Niu , Jun Wang , Haozhao Wang , YuanKai Zhang , Ruixuan Li

Making a simple model by choosing a limited number of features with the purpose of reducing the computational complexity of the algorithms involved in classification is one of the main issues in machine learning and data mining. The aim of…

Machine Learning · Computer Science 2018-11-22 Shahin Pourbahrami

Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by close inspection. The availability of…

Probability · Mathematics 2013-10-23 André J. Hoogstrate , Chris A. J. Klaassen
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