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Classification is a core topic in functional data analysis. A large number of functional classifiers have been proposed in the literature, most of which are based on functional principal component analysis or functional regression. In…

Methodology · Statistics 2025-10-14 Ruoxu Tan , Yiming Zang

We revisit the classical kernel method of approximation/interpolation theory in a very specific context motivated by the desire to obtain a robust procedure to approximate discrete data sets by (super)level sets of functions that are merely…

Machine Learning · Computer Science 2022-09-14 Patrick Guidotti

A novel approach for supervised classification analysis for high dimensional and flat data (more variables than observations) is proposed. We use the information of class-membership of observations to determine groups of observations…

In this article, we develop and investigate a new classifier based on features extracted using spatial depth. Our construction is based on fitting a generalized additive model to the posterior probabilities of the different competing…

Methodology · Statistics 2015-04-16 Subhajit Dutta , Anil K. Ghosh

This article proposes a novel density estimation based algorithm for carrying out supervised machine learning. The proposed algorithm features O(n) time complexity for generating a classifier, where n is the number of sampling instances in…

Machine Learning · Statistics 2007-11-06 Yen-Jen Oyang , Chien-Yu Chen , Darby Tien-Hao Chang , Chih-Peng Wu

Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

Machine Learning · Computer Science 2024-07-08 Rui Luo , Zhixin Zhou

Density Functional Theory (DFT) is a widely used computational method for estimating the energy and behavior of molecules. Machine Learning Interatomic Potentials (MLIPs) are models trained to approximate DFT-level energies and forces at…

Machine Learning · Computer Science 2025-12-02 Ahmad Ali

Several disciplines, like the social sciences, epidemiology, sentiment analysis, or market research, are interested in knowing the distribution of the classes in a population rather than the individual labels of the members thereof.…

Machine Learning · Computer Science 2024-01-04 Alejandro Moreo , Pablo González , Juan José del Coz

We introduce a simple and computationally trivial method for binary classification based on the evaluation of potential functions. We demonstrate that despite the conceptual and computational simplicity of the method its performance can…

Machine Learning · Computer Science 2008-12-17 Erik Boczko , Andrew DiLullo , Todd Young

Data analysis in high energy physics has to deal with data samples produced from different sources. One of the most widely used ways to unfold their contributions is the sPlot technique. It uses the results of a maximum likelihood fit to…

High Energy Physics - Experiment · Physics 2020-08-26 Maxim Borisyak , Nikita Kazeev

This work presents a family of parsimonious Gaussian process models which allow to build, from a finite sample, a model-based classifier in an infinite dimensional space. The proposed parsimonious models are obtained by constraining the…

Methodology · Statistics 2012-06-18 Charles Bouveyron , Stéphane Girard , Mathieu Fauvel

In this paper, we presented a novel semi-supervised one-class classification algorithm which assumes that class is linearly separable from other elements. We proved theoretically that class is linearly separable if and only if it is maximal…

Machine Learning · Statistics 2017-05-03 Evgeny Bauman , Konstantin Bauman

In this paper, the Dempster-Shafer method is employed as the theoretical basis for creating data classification systems. Testing is carried out using three popular (multiple attribute) benchmark datasets that have two, three and four…

Machine Learning · Computer Science 2014-09-03 Qi Chen , Amanda Whitbrook , Uwe Aickelin , Chris Roadknight

Although linear classifiers are one of the oldest methods in machine learning, they are still very popular in the machine learning community. This is due to their low computational complexity and robustness to overfitting. Consequently,…

Machine Learning · Computer Science 2022-03-29 Pawel Trajdos , Robert Burduk

We consider learning with possibilistic supervision for multi-class classification. For each training instance, the supervision is a normalized possibility distribution that expresses graded plausibility over the classes. From this…

Artificial Intelligence · Computer Science 2026-04-03 Ismaïl Baaj , Pierre Marquis

Confident prediction is highly relevant in machine learning; for example, in applications such as medical diagnoses, wrong prediction can be fatal. For classification, there already exist procedures that allow to not classify data when the…

Statistics Theory · Mathematics 2015-07-28 Christophe Denis , Mohamed Hebiri

We investigate a problem in which each member of a group of learners is trained separately to solve the same classification task. Each learner has access to a training dataset (possibly with overlap across learners) but each trained…

Machine Learning · Computer Science 2020-03-03 Mahmoud Albardan , John Klein , Olivier Colot

The one-class classification problem is a well-known research endeavor in pattern recognition. The problem is also known under different names, such as outlier and novelty/anomaly detection. The core of the problem consists in modeling and…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Lorenzo Livi , Alireza Sadeghian , Witold Pedrycz

Improving the performance of classifiers is the realm of feature mapping, prototype selection, and kernel function transformations; these techniques aim for reducing the complexity, and also, improving the accuracy of models. In particular,…

Machine Learning · Computer Science 2019-10-04 Jose Ortiz-Bejar , Eric S. Tellez , Mario Graff

In the Naive Bayes classification model the class conditional densities are estimated as the products of their marginal densities along the cardinal basis directions. We study the problem of obtaining an alternative basis for this…

Machine Learning · Statistics 2025-08-19 David P. Hofmeyr , Francois Kamper , Michail C. Melonas
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