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In various situations, decision makers face experts that may provide conflicting advice. This advice may be in the form of probabilistic forecasts over critical future events. We consider a setting where the two forecasters provide their…

Theoretical Economics · Economics 2020-02-14 Itay Kavaler , Rann Smorodinsky

Explanations are a fundamental element of how people make sense of the political world. Citizens routinely ask and answer questions about why events happen, who is responsible, and what could or should be done differently. Yet despite their…

Computation and Language · Computer Science 2025-12-04 Paulina Garcia-Corral

Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late…

Chaotic Dynamics · Physics 2025-01-27 Norbert Marwan , Maria Carmen Romano , Marco Thiel , Jürgen Kurths

The incompatibility between the treatment of time in the classical and in the quantum theory results in the so-called problem of time in canonical quantum gravity. For this reason, attempts have been made to devise algorithms of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ioannis Kouletsis

In this work we introduce the idea that the primary application of topology in experimental sciences is to keep track of what can be distinguished through experimentation. This link provides understanding and justification as to why…

General Topology · Mathematics 2019-04-29 Christine A. Aidala , Gabriele Carcassi , Mark J. Greenfield

The study of planets beyond the solar system and the search for other habitable planets and life is just beginning. Ground-based (radial velocity and transits) and space-based surveys (transits and astrometry) will identify planets spanning…

Statisticians have warned us since the early days of their discipline that experimental correlation between two observations by no means implies the existence of a causal relation. The question about what clues exist in observational data…

Artificial Intelligence · Computer Science 2020-09-25 Pirmin Lemberger , Denis Oblin

The integration of the history and philosophy of statistics was initiated at least by Hacking (1975) and advanced by Hacking (1990), Mayo (1996), and Zabell (2005), but it has not received sustained follow-up. Yet such integration is more…

Other Statistics · Statistics 2025-09-19 Hanti Lin

This article aims at applying the approaches peculiar to analytic philosophy to the question about representation of the concept of time as a symbol which can reflect the bases of the modern natural sciences, social sciences and humanities.…

General Physics · Physics 2021-04-02 Sergey B. Kulikov

Since it was first published 30 years ago, Chi et al.'s seminal paper on expert and novice categorization of introductory problems led to a plethora of follow-up studies within and outside of the area of physics [Chi et al. Cognitive…

Physics Education · Physics 2012-07-09 Steven F. Wolf , Daniel P. Dougherty , Gerd Kortemeyer

There are various approaches to the problem of how one is supposed to conduct a statistical analysis. Different analyses can lead to contradictory conclusions in some problems so this is not a satisfactory state of affairs. It seems that…

Statistics Theory · Mathematics 2019-06-25 Michael Evans

Explainability is one of the key ethical concepts in the design of AI systems. However, attempts to operationalize this concept thus far have tended to focus on approaches such as new software for model interpretability or guidelines with…

Computers and Society · Computer Science 2020-10-06 Ben Zevenbergen , Allison Woodruff , Patrick Gage Kelley

Counterfactual explanations, and their associated algorithmic recourse, are typically leveraged to understand, explain, and potentially alter a prediction coming from a black-box classifier. In this paper, we propose to extend the use of…

Automated Planning is one of the main research field of Artificial Intelligence since its beginnings. Research in Automated Planning aims at developing general reasoners (i.e., planners) capable of automatically solve complex problems.…

Artificial Intelligence · Computer Science 2019-05-15 Alessandro Umbrico

This paper describes a series of activities in which students investigate and use the Ptolemaic, Copernican, and Tychonic models of planetary motion. The activities guide students through using open source software to discover important…

History and Philosophy of Physics · Physics 2013-06-18 Todd Timberlake

We formalize a minimal setting in which a chronology (a strict partial order on events) is forced by consistency of distributed information under local composability. The system maintains distributed records interpreted as constraints over…

Logic in Computer Science · Computer Science 2026-01-08 Anherutowa Calvo , Dante K. Calvo

What is Statistics? Opinions vary. In fact, there is a continuous spectrum of attitudes toward statistics ranging from pure theoreticians, proving asymptotic efficiency and searching for most powerful tests, to wild practitioners, blindly…

Applications · Statistics 2016-03-17 Konstantin Zuev

Machine learning is often viewed as a black box when it comes to understanding its output, be it a decision or a score. Automatic anomaly detection is no exception to this rule, and quite often the astronomer is left to independently…

We give conditions to prove the existence of an Extremal Index for general stationary stochastic processes by detecting the presence of one or more underlying periodic phenomena. This theory, besides giving general useful tools to identify…

Probability · Mathematics 2014-01-20 Ana Cristina Moreira Freitas , Jorge Milhazes Freitas , Mike Todd

This short note contains some definitions and formulas about the power of an observable in statistically separating different classes of events.

Data Analysis, Statistics and Probability · Physics 2012-05-15 Giovanni Punzi
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