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In this work, we present a minimum entropy analysis scheme for variable selection and preliminary data analysis. The variable selection can be achieved by the increasing preference of variables. We show such a preference to has a unqiue…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Chih-Yuan Tseng , Chien-Chih CHen

Taiwan has the highest susceptibility to and fatalities from debris flows worldwide. The existing debris flow warning system in Taiwan, which uses a time-weighted measure of rainfall, leads to alerts when the measure exceeds a predefined…

Machine Learning · Computer Science 2022-09-05 Yi-Lin Tsai , Jeremy Irvin , Suhas Chundi , Andrew Y. Ng , Christopher B. Field , Peter K. Kitanidis

This paper presents the development of a new entropy-based feature selection method for identifying and quantifying impacts. Here, impacts are defined as statistically significant differences in spatio-temporal fields when comparing…

Applications · Statistics 2024-09-27 Jerry Watkins , Luca Bertagna , Graham Harper , Andrew Steyer , Irina Tezaur , Diana Bull

The minimum error entropy (MEE) criterion has been verified as a powerful approach for non-Gaussian signal processing and robust machine learning. However, the implementation of MEE on robust classification is rather a vacancy in the…

Machine Learning · Computer Science 2025-08-07 Yuanhao Li , Badong Chen , Natsue Yoshimura , Yasuharu Koike

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

We develop the method of Maximum Entropy (ME) as a technique to generate approximations to probability distributions. The central results consist in (a) justifying the use of relative entropy as the uniquely natural criterion to select a…

Statistical Mechanics · Physics 2007-07-24 Chih-Yuan Tseng , Ariel Caticha

In this study, a novel machine learning approach was used to classify three types of synoptic weather events in Taiwan area from 2001 to 2010. We used reanalysis data with three machine learning algorithms to recognize weather systems and…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Shih-Hao Su , Jung-Lien Chu , Ting-Shuo Yo , Lee-Yaw Lin

Weather regimes are recurrent and persistent large-scale atmospheric circulation patterns that modulate the occurrence of local impact variables such as extreme precipitation. In their capacity as mediators between long-range…

Model or variable selection is usually achieved through ranking models according to the increasing order of preference. One of methods is applying Kullback-Leibler distance or relative entropy as a selection criterion. Yet that will raise…

Statistical Mechanics · Physics 2007-05-23 Chih-Yuan Tseng

The search for the chiral magnetic effect (CME) in heavy-ion collisions has been impeded by the significant background arising from the anisotropic particle emission pattern, particularly elliptic flow. To alleviate this background, the…

Nuclear Theory · Physics 2023-12-08 Zhiwan Xu , Brian Chan , Gang Wang , Aihong Tang , Huan Zhong Huang

This paper introduces the minimum error entropy (MEE) criterion as an advanced information-theoretic loss function tailored for deep learning applications in wireless communications. The MEE criterion leverages higher-order statistical…

Information Theory · Computer Science 2024-11-03 Rumeshika Pallewela , Eslam Eldeeb , Hirley Alves

Coping with distributional shifts is an important part of transfer learning methods in order to perform well in real-life tasks. However, most of the existing approaches in this area either focus on an ideal scenario in which the data does…

Machine Learning · Computer Science 2023-07-26 Luis Pedro Silvestrin , Shujian Yu , Mark Hoogendoorn

The minimum error entropy (MEE) criterion has been successfully used in fields such as parameter estimation, system identification and the supervised machine learning. There is in general no explicit expression for the optimal MEE estimate…

Information Theory · Computer Science 2015-04-14 Badong Chen , Guangmin Wang , Nanning Zheng , Jose C. Principe

The problem of classifying turbulent environments from partial observation is key for some theoretical and applied fields, from engineering to earth observation and astrophysics, e.g. to precondition searching of optimal control policies in…

Fluid Dynamics · Physics 2022-10-19 Michele Buzzicotti , Fabio Bonaccorso

Variable selection is an important problem in statistics and machine learning. Copula Entropy (CE) is a mathematical concept for measuring statistical independence and has been applied to variable selection recently. In this paper we…

Methodology · Statistics 2022-09-07 Jian Ma

The mean shift iterative algorithm was proposed in 2006, for using the entropy as a stopping criterion. From then on, a theoretical base has been developed and a group of applications has been carried out using this algorithm. This paper…

Computer Vision and Pattern Recognition · Computer Science 2013-11-11 Roberto Rodríguez , Esley Torres , Yasel Garcés , Osvaldo Pereira , Humberto Sossa

The entropy density is an intuitive and powerful concept to study the complicated nonlinear processes derived from physical systems. We develop the minimum entropy density method (MEDM) to detect the structure scale of a given time series,…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Jeong Won Lee , Joongwoo Brian Park , Hang-Hyun Jo , Jae-Suk Yang , Hie-Tae Moon

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

Biological Physics · Physics 2018-10-17 Mattia Miotto , Lorenzo Monacelli

Diffraction-based stress analysis of textured materials depends on understanding their elastic heterogeneity and its influence on microscopic strain distributions, which is generally done by using simplifying assumptions for crystallite…

Materials Science · Physics 2025-05-23 Maximilian Krause , Nicola Simon , Claudius Klein , Jens Gibmeier , Thomas Böhlke

Problems of probabilistic inference and decision making under uncertainty commonly involve continuous random variables. Often these are discretized to a few points, to simplify assessments and computations. An alternative approximation is…

Artificial Intelligence · Computer Science 2013-03-08 William B. Poland , Ross D. Shachter
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