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A natural measure for the amount of quantum information that a physical system E holds about another system A = A_1,...,A_n is given by the min-entropy Hmin(A|E). Specifically, the min-entropy measures the amount of entanglement between E…

Quantum Physics · Physics 2015-06-16 Frédéric Dupuis , Omar Fawzi , Stephanie Wehner

Classical particle systems characterized by continuous size polydispersity, such as colloidal materials, are not straightforwardly described using statistical mechanics, since fundamental issues may arise from particle distinguishability.…

Statistical Mechanics · Physics 2017-01-16 Misaki Ozawa , Ludovic Berthier

During a spontaneous change, a macroscopic physical system will evolve towards a macro-state with more realizations. This observation is at the basis of the Statistical Mechanical version of the Second Law of Thermodynamics, and it provides…

Statistical Mechanics · Physics 2020-04-22 Mengjie Zu , Arunkumar Bupathy , Daan Frenkel , Srikanth Sastry

The expression of the free energy of a liquid in terms of an explicit decomposition of the particle configurations into local coordination clusters is examined. We argue that the major contribution to the entropy associated with structural…

Soft Condensed Matter · Physics 2016-06-10 Pierre Ronceray , Peter Harrowell

We present an operational method to determine the 'locally preferred structure'' of model liquids, a notion often put forward to explain supercooling of a liquid and glass formation. The method relies on finding the global minimum in the…

Disordered Systems and Neural Networks · Physics 2011-05-05 S. Mossa , G. Tarjus

We derive a functional for the entropy contributed by any microscopic degrees of freedom as arising from their measurable pair correlations. Applicable both in and out of equilibrium, this functional yields the maximum entropy which a…

Statistical Mechanics · Physics 2023-02-17 Benjamin Sorkin , Joshua Ricouvier , Haim Diamant , Gil Ariel

We review the behavior of the entropy per particle in various two-dimensional electronic systems. The entropy per particle is an important characteristic of any many body system that tells how the entropy of the ensemble of electrons…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Y. M. Galperin , D. Grassano , V. P. Gusynin , A. V. Kavokin , O. Pulci , S. G. Sharapov , V. O. Shubnyi , A. A. Varlamov

This letter reports two moment extensions of the entropy of a distribution. By understanding the traditional entropy as the average of the original distribution up to a random variable transformation, the traditional moments equation become…

Statistical Mechanics · Physics 2008-03-25 Luciano da Fontoura Costa

We present a framework for fingerprint matching based on marked point process models. An efficient Monte Carlo algorithm is developed to calculate the marginal likelihood ratio for the hypothesis that two observed prints originate from the…

Methodology · Statistics 2014-07-23 Peter G. M. Forbes , Steffen Lauritzen , Jesper Møller

Certified randomness guaranteed to be unpredictable by adversaries is central to information security. The fundamental randomness inherent in quantum physics makes certification possible from devices that are only weakly characterised, i.e.…

In this letter we propose the use of physics techniques for entropy determination on constrained parameter optimization problems. The main feature of such techniques, the construction of an unbiased walk on energy space, suggests their use…

Statistical Mechanics · Physics 2009-11-07 A. R. Lima , M. Argollo de Menezes

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…

Molecular fingerprints are widely used for predicting chemical properties, and selecting appropriate fingerprints is important. We generate new fingerprints based on the assumption that a performance of prediction using a more effective…

Machine Learning · Computer Science 2023-03-21 Koichiro Yawata , Yoshihiro Osakabe , Takuya Okuyama , Akinori Asahara

We present some new nonparametric estimators of entropies and we establish almost sure consistency and central limit Theorems for some of the most important entropies in the discrete case. Our theorical results are validated by simulations.

Statistics Theory · Mathematics 2019-03-22 Amadou Diadie Ba , Gane Samb Lo

We review a new form of entropy suggested by us, with origin in mixing of states of systems due to interactions and deformations of phase cells. It is demonstrated that this nonextensive form also leads to asymmetric maximal entropy…

Statistical Mechanics · Physics 2009-06-16 Fariel Shafee

This paper presents an effective method for fingerprint verification based on a data mining technique called minutiae clustering and a graph-theoretic approach to analyze the process of fingerprint comparison to give a feature space…

Computer Vision and Pattern Recognition · Computer Science 2010-06-15 Minakshi Gogoi , D K Bhattacharyya

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. P. Badiali

We introduce an algorithm to locate contours of functions that are expensive to evaluate. The problem of locating contours arises in many applications, including classification, constrained optimization, and performance analysis of…

Machine Learning · Statistics 2018-12-20 Alexandre N. Marques , Remi R. Lam , Karen E. Willcox

In this talk, after a short phenomenological introduction on glasses, I will describe some recent progresses that have been done in glasses using the replica method in the definition and in the evaluation of the configurational entropy (or…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giorgio Parisi

Entropy relates the fast, microscopic behaviour of the elements in a system to its slow, macroscopic state. We propose to use it to explain how, as complexity theory suggests, small scale decisions of individuals form cities. For this, we…

Physics and Society · Physics 2017-11-28 Martin Barner , Clémentine Cottineau , Carlos Molinero , Hadrien Salat , Kiril Stanilov , Elsa Arcaute