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We present a novel method for determining multi-fractal properties from experimental data. It is based on maximising the likelihood that the given finite data set comes from a particular set of parameters in a multi-parameter family of well…

chao-dyn · Physics 2009-10-28 A. J. Roberts , A. Cronin

We derive independence tests by means of dependence measures thresholding in a semiparametric context. Precisely, estimates of phi-mutual informations, associated to phi-divergences between a joint distribution and the product distribution…

Statistics Theory · Mathematics 2015-08-20 Amor Keziou , Philippe Regnault

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

Artificial Intelligence · Computer Science 2008-06-26 Marco Zaffalon , Marcus Hutter

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

Artificial Intelligence · Computer Science 2014-08-08 Marco Zaffalon , Marcus Hutter

Multi-label learning has emerged as a crucial paradigm in data analysis, addressing scenarios where instances are associated with multiple class labels simultaneously. With the growing prevalence of multi-label data across diverse…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Sadegh Eskandari , Sahar Ghassabi

In this paper, a novel feature selection method is presented, which is based on Class-Separability (CS) strategy and Data Envelopment Analysis (DEA). To better capture the relationship between features and the class, class labels are…

Machine Learning · Computer Science 2015-02-03 Yishi Zhang , Chao Yang , Anrong Yang , Chan Xiong , Xingchi Zhou , Zigang Zhang

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

In this paper, we study the challenge of feature selection based on a relatively small collection of sample pairs $\{(x_i, y_i)\}_{1 \leq i \leq m}$. The observations $y_i \in \mathbb{R}$ are thereby supposed to follow a noisy single-index…

Machine Learning · Statistics 2016-12-28 Martin Genzel , Gitta Kutyniok

Feature selection helps reduce data acquisition costs in ML, but the standard approach is to train models with static feature subsets. Here, we consider the dynamic feature selection (DFS) problem where a model sequentially queries features…

Machine Learning · Computer Science 2023-06-09 Ian Covert , Wei Qiu , Mingyu Lu , Nayoon Kim , Nathan White , Su-In Lee

This study focuses on the feature extraction problem in multi-modal data regression. To address three core challenges in real-world scenarios: limited and non-IID data, effective extraction and fusion of multi-modal information, and…

Machine Learning · Computer Science 2025-12-03 Haozhe Wu

Feature selection is playing an increasingly significant role with respect to many computer vision applications spanning from object recognition to visual object tracking. However, most of the recent solutions in feature selection are not…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Giorgio Roffo , Simone Melzi , Umberto Castellani , Alessandro Vinciarelli

Feature selection is essential for effective visual recognition. We propose an efficient joint classifier learning and feature selection method that discovers sparse, compact representations of input features from a vast sea of candidates,…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Marius Leordeanu , Alexandra Radu , Shumeet Baluja , Rahul Sukthankar

We present a technique for constructing random fields from a set of training samples. The learning paradigm builds increasingly complex fields by allowing potential functions, or features, that are supported by increasingly large subgraphs.…

cmp-lg · Computer Science 2016-08-31 S. Della Pietra , V. Della Pietra , J. Lafferty

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Maximum entropy approach to classification is very well studied in applied statistics and machine learning and almost all the methods that exists in literature are discriminative in nature. In this paper, we introduce a maximum entropy…

Information Theory · Computer Science 2013-12-31 Ambedkar Dukkipati , Gaurav Pandey , Debarghya Ghoshdastidar , Paramita Koley , D. M. V. Satya Sriram

Variable selection in high-dimensional space characterizes many contemporary problems in scientific discovery and decision making. Many frequently-used techniques are based on independence screening; examples include correlation ranking…

Methodology · Statistics 2008-12-18 Jianqing Fan , Richard Samworth , Yichao Wu

In the feature classification domain, the choice of data affects widely the results. For the Hyperspectral image, the bands dont all contain the information; some bands are irrelevant like those affected by various atmospheric effects, see…

Computer Vision and Pattern Recognition · Computer Science 2012-11-02 Elkebir Sarhrouni , Ahmed Hammouch , Driss Aboutajdine

Although much progress has been made in classification with high-dimensional features \citep{Fan_Fan:2008, JGuo:2010, CaiSun:2014, PRXu:2014}, classification with ultrahigh-dimensional features, wherein the features much outnumber the…

Machine Learning · Statistics 2016-11-14 Yanming Li , Hyokyoung Hong , Jian Kang , Kevin He , Ji Zhu , Yi Li

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

Methodology · Statistics 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu

Subset selection in multiple linear regression aims to choose a subset of candidate explanatory variables that tradeoff fitting error (explanatory power) and model complexity (number of variables selected). We build mathematical programming…

Machine Learning · Statistics 2020-09-04 Young Woong Park , Diego Klabjan