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An experimental comparison of two or more optimization algorithms requires the same computational resources to be assigned to each algorithm. When a maximum runtime is set as the stopping criterion, all algorithms need to be executed in the…

Performance · Computer Science 2024-02-09 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

Simple type theory is formulated for use with the generic theorem prover Isabelle. This requires explicit type inference rules. There are function, product, and subset types, which may be empty. Descriptions (the eta-operator) introduce the…

Logic in Computer Science · Computer Science 2008-02-03 Lawrence C. Paulson

Correlation testing provides a quick method of discriminating amongst potential terms to include in a nuclear mass formula or functional and is a necessary tool for further nuclear mass models; however a firm mathematical foundation of the…

Nuclear Theory · Physics 2013-05-14 M. G. Bertolli

In a companion paper, we discuss students' ability to take advantage of what they learn from a solved problem and transfer their learning to solve a quiz problem that has different surface features but the same underlying physics…

Physics Education · Physics 2016-02-23 Shih-Yin Lin , Chandralekha Singh

Comparisons of different treatments or production processes are the goals of a significant fraction of applied research. Unsurprisingly, two-sample problems play a main role in Statistics through natural questions such as `Is the the new…

Methodology · Statistics 2017-09-05 P. C. Álvarez-Esteban , E. del Barrio , J. A. Cuesta-Albertos , C. Matrán

This article aims at clarifying the language and practice of scientific experiment, mainly by hooking observability on calculability.

Artificial Intelligence · Computer Science 2007-05-23 Pierre Albarede

The majority of experiments in fundamental science today are designed to be multi-purpose: their aim is not simply to measure a single physical quantity or process, but rather to enable increased precision in the measurement of a number of…

We propose a new approach to sequential testing which is an adaptive (on-line) extension of the (off-line) framework developed in [10]. It relies upon testing of pairs of hypotheses in the case where each hypothesis states that the vector…

Statistics Theory · Mathematics 2017-02-27 Anatoli Juditsky , Arkadi Nemirovski

Parity constraints, common in application domains such as circuit verification, bounded model checking, and logical cryptanalysis, are not necessarily most efficiently solved if translated into conjunctive normal form. Thus, specialized…

Logic in Computer Science · Computer Science 2014-06-19 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Impossibility results show that important fairness measures (independence, separation, sufficiency) cannot be satisfied at the same time under reasonable assumptions. This paper explores whether we can satisfy and/or improve these fairness…

Machine Learning · Computer Science 2022-03-21 Corinna Hertweck , Tim Räz

This paper provides a statistical method to test whether a system that performs a binary sequential hypothesis test is optimal in the sense of minimizing the average decision times while taking decisions with given reliabilities. The…

Information Theory · Computer Science 2018-01-08 Meik Dörpinghaus , Izaak Neri , Édgar Roldán , Heinrich Meyr , Frank Jülicher

Principles of analogical reasoning have recently been applied in the context of machine learning, for example to develop new methods for classification and preference learning. In this paper, we argue that, while analogical reasoning is…

Machine Learning · Computer Science 2020-05-27 Eyke Hüllermeier

We present a rational analysis of curiosity, proposing that people's curiosity is driven by seeking stimuli that maximize their ability to make appropriate responses in the future. This perspective offers a way to unify previous theories of…

Artificial Intelligence · Computer Science 2020-08-04 Rachit Dubey , Thomas L. Griffiths

An argument can be seen as a pair consisting of a set of premises and a claim supported by them. Arguments used by humans are often enthymemes, i.e., some premises are implicit. To better understand, evaluate, and compare enthymemes, it is…

Artificial Intelligence · Computer Science 2024-11-14 Jonathan Ben-Naim , Victor David , Anthony Hunter

In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To this end, we give different examples showing that these…

History and Overview · Mathematics 2017-10-18 André Eikmeier , Etienne Emmrich , Eckehard Schöll

Employing the ideas of non-linear preconditioning and testing of the classical proximal point method, we formalise common arguments in convergence rate and convergence proofs of optimisation methods to the verification of a simple…

Optimization and Control · Mathematics 2020-10-06 Tuomo Valkonen

When estimating causal effects using observational data, it is desirable to replicate a randomized experiment as closely as possible by obtaining treated and control groups with similar covariate distributions. This goal can often be…

Methodology · Statistics 2010-10-28 Elizabeth A. Stuart

We study a signaling game between two firms competing to have their product chosen by a principal. The products have qualities drawn i.i.d. from a common prior. The principal aims to choose the better product, but the quality of a product…

Computer Science and Game Theory · Computer Science 2021-10-22 Siddhartha Banerjee , David Kempe , Robert Kleinberg

A requirements engineering artifact is valid relative to the stakeholders of the system-to-be if they agree on the content of that artifact. Checking relative validity involves a discussion between the stakeholders and the requirements…

Software Engineering · Computer Science 2009-02-06 Ivan Jureta , John Mylopoulos , Stephane Faulkner

In psychological research often paired comparisons are used in which either full or partial profiles of the alternatives described by a common set of two-level attributes are presented. For this situation the problem of finding optimal…

Methodology · Statistics 2019-08-20 Eric Nyarko