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The adoption of the Kolmogorov-Sinai (KS) entropy is becoming a popular research tool among physicists, especially when applied to a dynamical system fitting the conditions of validity of the Pesin theorem. The study of time series that are…

Like natural complex systems such as the Earth's climate or a living cell, semiconductor lithography systems are characterized by nonlinear dynamics across more than a dozen orders of magnitude in space and time. Thousands of sensors…

Information Theory · Computer Science 2021-04-07 Errol Zalmijn , Tom Heskes , Tom Claassen

In many chemical reactions, short-lived radical intermediates play a crucial role, while detecting such short-lived species in-situ remains challenging. The optically readable electronic spin of nitrogen-vacancy (NV) centers in diamond is a…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Emma Herbst , Sebastian Westrich , Alena Erlenbach , Jonas Gutsche , Maria Wächtler , Elke Neu

This paper presents an entropy based adaptive measurement sequence strategy for quantum sensing of magnetic fields. To physically ground our ideas we consider a sensor employing a nitrogen vacancy center in diamond, however our approach is…

We develop an anomaly-detection method when systematic anomalies, possibly statistically very similar to genuine inputs, are affecting control systems at the input and/or output stages. The method allows anomaly-free inputs (i.e., those…

Methodology · Statistics 2022-02-01 Ning Sun , Chen Yang , Ričardas Zitikis

The growing study of time series, especially those related to nonlinear systems, has challenged the methodologies to characterize and classify dynamical structures of a signal. Here we conceive a new diagnostic tool for time series based on…

Other Statistics · Statistics 2017-07-05 G. Corso , T. L. Prado , G. Z. dos S. Lima , S. R. Lopes

Identifying dissipation is essential for understanding the physical mechanisms underlying nonequilibrium processes. {In living systems, for example, the dissipation is directly related to the hydrolysis of fuel molecules such as adenosine…

Statistical Mechanics · Physics 2019-09-02 Ignacio A. Martínez , Gili Bisker , Jordan M. Horowitz , Juan M. R. Parrondo

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference…

Statistical Mechanics · Physics 2021-09-23 Timur Koyuk , Udo Seifert

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Tanisha Joshi

Measuring entropy production of a system directly from the experimental data is highly desirable since it gives a quantifiable measure of the time-irreversibility for non-equilibrium systems and can be used as a cost function to optimize…

Statistical Mechanics · Physics 2024-07-16 Prashant Singh , Karel Proesmans

Deep neural networks (DNNs) are now the de facto choice for computer vision tasks such as image classification. However, their complexity and "black box" nature often renders the systems they're deployed in vulnerable to a range of security…

Cryptography and Security · Computer Science 2021-10-19 Chandramouli Amarnath , Aishwarya H. Balwani , Kwondo Ma , Abhijit Chatterjee

The widespread availability of complex time series data in various domains such as environmental science, epidemiology, and economics demands robust causal discovery methods that can identify intricate contemporaneous and lagged…

Machine Learning · Computer Science 2026-05-12 Omar Faruque , Sahara Ali , Xue Zheng , Jianwu Wang

Multivariate long-term time series forecasting is critical for applications such as weather prediction, and traffic analysis. In addition, the implementation of Transformer variants has improved prediction accuracy. Following these…

Machine Learning · Computer Science 2025-05-06 Minhyuk Lee , HyeKyung Yoon , MyungJoo Kang

This paper presents a novel method for transient stability analysis (TSA) that circumvents the limitations of sequential numerical integration and energy functions. The proposed method begins by constructing a trajectory-dependent stability…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Wenhao Wu , Dan Wu , Bin Wang , Jiabing Hu

By making use of a recently proposed framework for the inference of thermodynamic irreversibility in bosonic quantum systems, we experimentally measure and characterize the entropy production rates in the non-equilibrium steady state of two…

We introduce Extrema-Segmented Entropy (ExSEnt), a feature-decomposed framework for quantifying time-series complexity that separates temporal from amplitude contributions. The method partitions a signal into monotonic segments by detecting…

Chaotic Dynamics · Physics 2025-09-30 Sara Kamali , Fabiano Baroni , Pablo Varona

An experiment to study the entropy method for an anomaly detection system has been performed. The study has been conducted using real data generated from the distributed sensor networks at the Intel Berkeley Research Laboratory. The…

Cryptography and Security · Computer Science 2017-03-14 A. A. Waskita , H. Suhartanto , L. T. Handoko

Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asymptotic bounds for the performance of these estimators and…

Statistics Theory · Mathematics 2026-05-06 Yannick Baraud

We study the performance of three different methods to automatically detect a chirp in background noise. (1) The standard deviation detector uses the computation of the signal to noise ratio. (2) The spectral covariance detector is based on…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Ignaccolo , T. Farges , E. Blanc , M. Fullekrug

We address the problem of detecting non-stationary effects in time series (in particular fractal time series) by means of the Diffusion Entropy Method (DEM). This means that the experimental sequence under study, of size $N$, is explored…

Statistical Mechanics · Physics 2016-11-23 P. Allegrini , P. Grigolini , P. Hamilton , L. Palatella , G. Raffaelli , M. Virgilio
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