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I give a highly selective overview of the way statistical mechanics explains the microscopic origins of the time asymmetric evolution of macroscopic systems towards equilibrium and of first order phase transitions in equilibrium. These…

Mathematical Physics · Physics 2009-10-31 Joel L. Lebowitz

The era of data-intensive astronomy is being ushered in with the increasing size and complexity of observational data across wavelength and time domains, the development of algorithms to extract information from this complexity, and the…

Instrumentation and Methods for Astrophysics · Physics 2020-05-20 Mubdi Rahman , Dustin Lang , Renée Hložek , Jo Bovy , Laurence Perreault-Levasseur

Spatial statistics is an area of study devoted to the statistical analysis of data that have a spatial label associated with them. Geographers often refer to the "location information" associated with the "attribute information," whose…

Methodology · Statistics 2021-05-18 Noel Cressie , Matthew T. Moores

A (subjective) overview of Internet resources relevant to professional astronomers is given. Special emphasis is put on databases of astronomical objects and servers providing general information, e.g. on astronomical catalogues, finding…

Astrophysics · Physics 2007-05-23 Heinz Andernach

In this paper, we propose standard statistical tools as a solution to commonly highlighted problems in the explainability literature. Indeed, leveraging statistical estimators allows for a proper definition of explanations, enabling…

Machine Learning · Statistics 2024-05-01 Valentina Ghidini

Inverse problems in statistical physics are motivated by the challenges of `big data' in different fields, in particular high-throughput experiments in biology. In inverse problems, the usual procedure of statistical physics needs to be…

Disordered Systems and Neural Networks · Physics 2017-11-07 H. Chau Nguyen , Riccardo Zecchina , Johannes Berg

We review some of the recent developments and challenges posed by the data analysis in modern digital sky surveys, which are representative of the information-rich astronomy in the context of Virtual Observatory. Illustrative examples…

Astrophysics · Physics 2016-11-18 S. G. Djorgovski , C. Donalek , A. Mahabal , R. Williams , A. Drake , M. Graham , E. Glikman

We briefly review some constraints (Owing to the limited number of pages of present review, only a sub-sample of the topics discussed during the talk are briefly summarized. For the interested readers we are pleased to send them upon…

Astrophysics · Physics 2009-11-13 S. Cassisi

Several authors, including the American Statistician (ASA), have noted the challenges facing statisticians when attacking large, complex, unstructured problems, as opposed to well-defined textbook problems. Clearly, the standard paradigm of…

Other Statistics · Statistics 2015-11-20 Roger W. Hoerl , Ronald D. Snee

Radio astronomical observations have very poor signal to noise ratios, unlike in other disciplines. On the other hand, it is possible to observe the object of interest for long time intervals as well as using a wider bandwidth.…

Astrophysics · Physics 2008-09-02 Sarod Yatawatta

Being one of the most fascinating and ancient sciences, astronomy has always played a special role in society. In 2022 ESO organised an online conference to offer the community a platform to discuss astronomical topics of sociological and…

Instrumentation and Methods for Astrophysics · Physics 2022-08-09 Giacomo Beccari , Henri M. J. Boffin , Paola Andreani , Selma de Mink , Wendy Freedman , Michael Hill , Bruno Leibundgut , Federico Lelli , Anna Miotello , Sean Sapcariu

In the rapidly growing literature on explanation algorithms, it often remains unclear what precisely these algorithms are for and how they should be used. In this position paper, we argue for a novel and pragmatic perspective: Explainable…

Machine Learning · Computer Science 2025-06-17 Sebastian Bordt , Eric Raidl , Ulrike von Luxburg

Attention is drawn to problems associated with superstatistics, including the apparent lack of knowledge of previous work in statistical physics displayed by workers in this supposedly new field.

General Physics · Physics 2007-05-23 J. Dunning-Davies

In astronomy, there is an opportunity to enhance the practice of validating models through statistical techniques, specifically to account for measurement error uncertainties. While models are commonly used to describe observations, there…

Instrumentation and Methods for Astrophysics · Physics 2023-08-09 Fiorenzo Stoppa , Eric Cator , Gijs Nelemans

In the past two years, the environment within which astronomers conduct their data analysis and management has rapidly changed. Working Groups associated with international societies and Big Data projects have emerged to support and…

Instrumentation and Methods for Astrophysics · Physics 2013-01-15 Eric D. Feigelson , Željko Ivezić , Joseph Hilbe , Kirk D. Borne

There are many books on the classical subject of special relativity. However, after having spent a number of years, both in relativistic engineering and research with relativity, I have come to the conclusion that there exist a place for a…

Classical Physics · Physics 2026-03-26 Evgeny Saldin

Data analysis in space sciences has been performed exclusively visually for years, despite the fact that the largest amount of data belongs to non-visible portions of the electromagnetic spectrum. This, on the one hand, limits the study of…

Instrumentation and Methods for Astrophysics · Physics 2023-05-10 Johanna Casado , Beatriz García

We deliver a call to arms for probabilistic numerical methods: algorithms for numerical tasks, including linear algebra, integration, optimization and solving differential equations, that return uncertainties in their calculations. Such…

Numerical Analysis · Mathematics 2016-02-17 Philipp Hennig , Michael A Osborne , Mark Girolami

Observational astronomy has changed drastically in the last decade: manually driven target-by-target instruments have been replaced by fully automated robotic telescopes. Data acquisition methods have advanced to the point that terabytes of…

Statistical inference is the science of drawing conclusions about some system from data. In modern signal processing and machine learning, inference is done in very high dimension: very many unknown characteristics about the system have to…

Disordered Systems and Neural Networks · Physics 2020-10-29 Jean Barbier
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