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We study the parameter estimation problem in mixture models with observational nonidentifiability: the full model (also containing hidden variables) is identifiable, but the marginal (observed) model is not. Hence global maxima of the…

Machine Learning · Statistics 2020-02-20 A. E. Allahverdyan

As large language models (LLMs) are increasingly deployed in high-stakes and operational settings, evaluation strategies based solely on aggregate accuracy are often insucient to characterize system reliability. This study proposes a…

Artificial Intelligence · Computer Science 2026-05-06 Hikmat Karimov , Rahid Zahid Alekberli

Extreme events arising in georeferenced processes can take various forms, such as occurring in isolated patches or stretching contiguously over large areas, and can further vary with the spatial location and the extremeness of the events.…

Statistics Theory · Mathematics 2025-01-15 Ryan Cotsakis , Elena Di Bernardino , Thomas Opitz

We present a new framework for the assessment and calibration of medium range ensemble temperature forecasts. The method is based on maximising the likelihood of a simple parametric model for the temperature distribution, and leads to some…

Atmospheric and Oceanic Physics · Physics 2009-11-10 Stephen Jewson , Anders Brix , Christine Ziehmann

Pairwise similarities and dissimilarities between data points might be easier to obtain than fully labeled data in real-world classification problems, e.g., in privacy-aware situations. To handle such pairwise information, an empirical risk…

Machine Learning · Computer Science 2019-04-29 Takuya Shimada , Han Bao , Issei Sato , Masashi Sugiyama

Standard thermodynamic treatments of quantum field theory in the presence of black-hole backgrounds reproduce the black hole entropy by usually specializing to the leading order of the heat-kernel or the high-temperature expansion. By…

High Energy Physics - Theory · Physics 2009-06-19 Horacio E. Camblong , Carlos R. Ordonez

Climate hazards in Hawai'i are increasing in both frequency and severity, with varying impacts over vulnerable communities. This paper presents the Community Census and Spatial Visualization Index (CCSVI), a web-based geospatial…

Social and Information Networks · Computer Science 2026-04-21 Aaron McLean , Makena Coffman , Andy Yu , Scott Nicolas , Maja Schjervheim , Christopher Shuler , Johann Peter Lall , Sean Cleveland , Jason Leigh

Markov categories are a novel framework to describe and treat problems in probability and information theory. In this work we combine the categorical formalism with the traditional quantitative notions of entropy, mutual information, and…

Information Theory · Computer Science 2024-04-15 Paolo Perrone

Monte Carlo simulations using entropic sampling to estimate the number of configurations of a given energy are a valuable alternative to traditional methods. We introduce {\it tomographic} entropic sampling, a scheme which uses multiple…

Statistical Mechanics · Physics 2015-05-28 Ronald Dickman , A. G. Cunha-Netto

Metrics and frameworks to quantifiably assess security measures have arisen from needs of three distinct research communities - statistical measures from the intrusion detection and prevention literature, evaluation of cyber exercises,…

Cryptography and Security · Computer Science 2019-10-28 Michael D. Iannacone , Robert A. Bridges

In this paper we apply the global isomorphism approach [V.~L. Kulinskii, J. Phys. Chem. B \textbf{114} 2852 (2010)] between the Lennard-Jones fluids and Lattice Gas model to the study of the liquid-vapor equilibrium for the systems with the…

Statistical Mechanics · Physics 2013-04-26 Leonid Bulavin , Vladimir Kulinskii

Climate change is expected to alter the distribution of ambient ozone levels and temperatures which, in turn, may impact public health. Much research has focused on the effect of short-term ozone exposures on mortality and morbidity while…

Applications · Statistics 2014-12-05 Ander Wilson , Ana G. Rappold , Lucas M. Neas , Brian J. Reich

We investigate fundamental connections between thermodynamics and quantum information theory. First, we show that the operational framework of thermal operations is nonequivalent to the framework of Gibbs-preserving maps, and we comment on…

Quantum Physics · Physics 2016-07-13 Philippe Faist

When extreme weather events affect large areas, their regional to sub-continental spatial scale is important for their impacts. We propose a novel machine learning (ML) framework that integrates spatial extreme-value theory to model weather…

Applications · Statistics 2025-05-29 Jonathan Koh , Daniel Steinfeld , Olivia Martius

Using heat conduction mechanism on a social network we develop a systematic method to predict missing values as recommendations. This method can treat very large matrices that are typical of internet communities. In particular, with an…

Physics and Society · Physics 2008-03-17 Yi-Cheng Zhang , Marcel Blattner , Yi-Kuo Yu

For Rindler observers accelerating close to the horizon in local patches around a spacetime point, the matter-energy passing through the horizon increases the entropy and heat energy. Jacobson has showed that the Einstein equation can be…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Swastik Bhattacharya

We illustrate in terms familiar to modern day science students that: (i) an uncertainty slope mechanism underlies the usefulness of temperature via its reciprocal, which is incidentally around 42 [nats/eV] at the freezing point of water;…

Physics Education · Physics 2008-02-03 P. Fraundorf

We propose two different approaches for introducing the information temperature of the binary N-th order Markov chains. The first approach is based on comparing the Markov sequences with the equilibrium Ising chains at given temperatures.…

Data Analysis, Statistics and Probability · Physics 2022-10-05 O. V. Usatenko , S. S. Melnyk , G. M. Pritula , V. A. Yampol'skii

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

We discuss the information entropy for a general open pointer-based simultaneous measurement and show how it is bound from below. This entropic uncertainty bound is a direct consequence of the structure of the entropy and can be obtained…

Quantum Physics · Physics 2015-03-24 Raoul Heese , Matthias Freyberger
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