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Permutation Entropy (PE) has been shown to be a useful tool for time series analysis due to its low computational cost and noise robustness. This has drawn for its successful application in many fields. Some of these include damage…

Data Analysis, Statistics and Probability · Physics 2020-04-06 Audun Myers , Firas Khasawneh

The method of maximum entropy (ME) is extended to address the following problem: Once one accepts that the ME distribution is to be preferred over all others, the question is to what extent are distributions with lower entropy supposed to…

Mathematical Physics · Physics 2009-10-31 Ariel Caticha

Statistical mechanics relies on the complete though probabilistic description of a system in terms of all the microscopic variables. Its object is to derive therefrom static and dynamic properties involving some reduced set of variables.…

Statistical Mechanics · Physics 2009-10-31 R. Balian

Energy efficiency is a big concern in industrial sectors. Finding the root cause of anomaly state of energy efficiency can help to improve energy efficiency of industrial systems and therefore save energy cost. In this research, we propose…

Machine Learning · Computer Science 2024-01-12 Jian Ma

This paper proposes an integrative approach to feature (input and output) selection in Data Envelopment Analysis (DEA). The DEA model is enriched with zero-one decision variables modelling the selection of features, yielding a Mixed Integer…

Optimization and Control · Mathematics 2020-03-02 Sandra Benítez-Peña , Peter Bogetoft , Dolores Romero Morales

The Maximum Entropy Method (MEM) is a popular data analysis technique based on Bayesian inference, which has found various applications in the research literature. While the MEM itself is well-grounded in statistics, I argue that its…

Data Analysis, Statistics and Probability · Physics 2020-11-03 Alexander Rothkopf

Human activities accelerate consumption of fossil fuels and produce greenhouse gases, resulting in urgent issues today: global warming and the climate change. These indirectly cause severe natural disasters, plenty of lives suffering and…

This paper addresses the critical challenge of estimating the reliability of an Electric Vehicle (EV) charging systems when facing risks such as overheating, unpredictable, weather, and cyberattacks. Traditional methods for predicting…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Himanshu Tripathi , Subash Neupane , Shahram Rahimi , Noorbakhsh Amiri Golilarz , Sudip Mittal , Mohammad Sepehrifar

In this paper, we present a new explainability formalism designed to shed light on how each input variable of a test set impacts the predictions of machine learning models. Hence, we propose a group explainability formalism for trained…

Machine Learning · Statistics 2022-08-12 François Bachoc , Fabrice Gamboa , Max Halford , Jean-Michel Loubes , Laurent Risser

Prediction of the extent and probability of debris flow under rainfall conditions can contribute to precautionary activities through risk quantification. To this end, quantifying the debris-flow risk against rainfall involves three…

Applications · Statistics 2022-11-15 Kazuki Yamanoi , Satoru Oishi , Kenji Kawaike

In the analysis of any type of system, granting maximum information extraction from its data is non-trivial. Confidence in successful information extraction typically builds on prior knowledge of the studied system or on the user's…

Data Analysis, Statistics and Probability · Physics 2026-01-01 Matteo Becchi , Giovanni Maria Pavan

A general 3D flow-and-transport model in porous media is derived using an axiomatic continuum-mechanics approach and implemented with the finite element method to simulate microbial enhanced oil recovery (MEOR) at core scale under…

The issue of discrete probability estimation for samples of small size is addressed in this study. The maximum likelihood method often suffers over-fitting when insufficient data is available. Although the Bayesian approach can avoid…

Machine Learning · Computer Science 2012-12-13 Takashi Isozaki

By the study of the dynamical processes related to entropy, this work aims to create a mathematical tool to identify magnetic clouds (MCs) in the interplanetary space using only interplanetary magnetic field (IMF) data. Used as basis for an…

Space Physics · Physics 2017-01-31 G. A. Ojeda , O. Mendes , M. A. Calzadilla , M. O. Domingues

Artificial intelligence models and methods commonly lack causal interpretability. Despite the advancements in interpretable machine learning (IML) methods, they frequently assign importance to features which lack causal influence on the…

Machine Learning · Computer Science 2024-01-29 Francisco Nunes Ferreira Quialheiro Simoes , Mehdi Dastani , Thijs van Ommen

We propose to use the coincidence method of Ma to measure an entropy of the system created in heavy ion collisions. Moreover we estimate, in a simple model, the values of parameters for which the thermodynamical behaviour sets in.

High Energy Physics - Lattice · Physics 2009-10-31 A. Bialas , W. Czyz , J. Wosiek

Feature selection is a critical step in high-dimensional classification tasks, particularly under challenging conditions of double imbalance, namely settings characterized by both class imbalance in the response variable and dimensional…

Methodology · Statistics 2025-06-13 Fabio Demaria

The selection of $\eta$ mesons with a high efficiency and a high purity can be important in the formation of statistically significant invariant mass spectra in the reconstruction of short-lived particles such as $\eta' \rightarrow \pi^{+}…

High Energy Physics - Phenomenology · Physics 2018-05-23 A. Bingül , U. Şaşmaz , A. J. Beddall

Whether deterministic or stochastic, models can be viewed as functions designed to approximate a specific quantity of interest. We introduce Minimal Empirical Variance Aggregation (MEVA), a data-driven framework that integrates predictions…

Machine Learning · Computer Science 2025-03-04 Théo Bourdais , Houman Owhadi

For configurational changes of soft matter systems affected or caused by external hydrodynamic flow, we identify applied work, exchanged heat, and entropy change on the level of a single trajectory. These expressions guarantee invariance of…

Soft Condensed Matter · Physics 2009-01-15 Thomas Speck , Jakob Mehl , Udo Seifert