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By the example of the proof of Minkowski's conjecture on critical determinant we give a category theory framework for interval computation.

Category Theory · Mathematics 2025-10-20 Nikolaj M. Glazunov

We describe the Turing Machine, list some of its many influences on the theory of computation and complexity of computations, and illustrate its importance.

Computational Complexity · Computer Science 2013-08-26 P. M. B. Vitanyi

This paper elaborates on a new approach of the question of the proof-theoretic study of concurrent interaction called "proofs as schedules". Observing that proof theory is well suited to the description of confluent systems while…

Logic in Computer Science · Computer Science 2014-09-16 Emmanuel Beffara

Cooperation information sharing is important to theories of human learning and has potential implications for machine learning. Prior work derived conditions for achieving optimal Cooperative Inference given strong, relatively restrictive…

Machine Learning · Computer Science 2019-02-15 Pei Wang , Pushpi Paranamana , Patrick Shafto

Co-authorship in publications within a discipline uncovers interesting properties of the analysed field. We represent collaboration in academic papers of computer science in terms of differently grained networks, including those…

Social and Information Networks · Computer Science 2015-03-17 Massimo Franceschet

Prediction is a complex notion, and different predictors (such as people, computer programs, and probabilistic theories) can pursue very different goals. In this paper I will review some popular kinds of prediction and argue that the theory…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders. This provides a simple and direct understanding of the Rellich inequalities as well as the…

Classical Analysis and ODEs · Mathematics 2016-11-14 Shuji Machihara , Tohru Ozawa , Hidemitsu Wadade

Academic challenges comprise effective means for (i) advancing the state of the art, (ii) putting in the spotlight of a scientific community specific topics and problems, as well as (iii) closing the gap for under represented communities in…

Machine Learning · Computer Science 2023-12-04 Hugo Jair Escalante , Aleksandra Kruchinina

In science as elsewhere, attention is a limited resource and scientists compete with one another to produce the most exciting, novel and impactful results. We develop a game-theoretic model to explore how such competition influences the…

Physics and Society · Physics 2025-09-09 Kevin Gross , Carl T. Bergstrom

We report on the recent Loebner prize competition inspired by Turing's test of intelligent behavior. The presentation covers the structure of the competition and the outcome of its first instantiation in an actual event, and an analysis of…

cmp-lg · Computer Science 2008-02-03 Stuart M. Shieber

This habilitation thesis is cumulative and, therefore, is collecting and connecting research that I (together with several co-authors) have conducted over the last few years. Thus, the absolute core of the work is formed by the ten…

Machine Learning · Statistics 2025-01-20 Christoph Jansen

We analyze a science collaboration network, i.e. a network whose nodes are scientists with edges connecting them for each paper published together. Furthermore we develop a model for the simulation of discontiguous small-world networks that…

Statistical Mechanics · Physics 2007-05-23 Felix Putsch

This is a response to the commentaries on "CoRR: A Computing Research Repository".

Digital Libraries · Computer Science 2007-05-23 Joseph Y. Halpern

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

High Energy Physics - Theory · Physics 2007-05-23 Robert Carroll

Acknowledgments are one of many conventions by which researchers publicly bestow recognition towards individuals, organizations and institutions that contributed in some way to the work that led to publication. Combining data on both…

Digital Libraries · Computer Science 2016-11-28 Adele Paul-Hus , Philippe Mongeon , Maxime Sainte-Marie , Vincent Lariviere

Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM

Quantum Physics · Physics 2007-05-23 E. H. Knill , M. A. Nielsen

People can help other people find information in networked information seeking environments. Recently, many such systems and algorithms have proliferated in industry and in academia. Unfortunately, it is difficult to compare the systems in…

Information Retrieval · Computer Science 2009-08-06 Gene Golovchinsky , Jeremy Pickens , Maribeth Back

Concurrency and probability are both much studied extensions of sequential computation. Within concurrency theory, there is a broad divide between interleaving models and logics, which model concurrency by non-determinism, and `truly…

Formal Languages and Automata Theory · Computer Science 2020-12-21 Nargess Ghahremani , Julian Bradfield

We give a short appreciation of Mumford's work on the moduli of varieties by putting it into historical context. By reviewing earlier works we highlight the innovations introduced by Mumford. Then we discuss recent developments whose…

Algebraic Geometry · Mathematics 2018-10-01 János Kollár

This expository paper features a few highlights of Richard Stanley's extensive work in Ehrhart theory, the study of integer-point enumeration in rational polyhedra. We include results from the recent literature building on Stanley's work,…

Combinatorics · Mathematics 2019-03-06 Matthias Beck