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Comment on recent paper by I. Horv\'ath and P. Marko\v{s}, "Super-universality in Anderson localization", Phys. Rev. Lett. 129, 106601 (2022) [arXiv:2110.11266].

Disordered Systems and Neural Networks · Physics 2023-09-27 I. S. Burmistrov

In this paper, we advocate the use of stratified logical theories for representing probabilistic models. We argue that such encodings can be more interpretable than those obtained in existing frameworks such as Markov logic networks. Among…

Artificial Intelligence · Computer Science 2016-11-21 Ondrej Kuzelka , Jesse Davis , Steven Schockaert

It is shown that the numerical data in cond-mat/0608362 are in very good agreement with the predictions of cond-mat/0601573.

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Zamponi

Information Theory provides a fundamental basis for analysis, and for a variety of subsequent methodological approaches, in relation to uncertainty quantification. The transversal character of concepts and derived results justifies its…

Statistics Theory · Mathematics 2024-11-27 Jose M. Angulo , Francisco J. Esquivel , Ana E. Madrid , Francisco J. Alonso

In this paper, we solve the problem of predicting the next locations of the moving objects with a historical dataset of trajectories. We present a Next Location Predictor with Markov Modeling (NLPMM) which has the following advantages: (1)…

Artificial Intelligence · Computer Science 2020-03-17 Meng Chen , Yang Liu , Xiaohui Yu

We propose a statistical framework to quantify location and co-location associations of economic activities using information-theoretic measures. We relate the resulting measures to existing measures of revealed comparative advantage,…

Applications · Statistics 2020-04-23 Alje van Dam , Andres Gomez-Lievano , Frank Neffke , Koen Frenken

We extend to Gaussian distributions a result providing smoothed analysis estimates for condition numbers given as relativized distances to illposedness. We also introduce a notion of local analysis meant to capture the behavior of these…

Numerical Analysis · Mathematics 2019-05-22 Felipe Cucker , Teresa Krick

We clarify a number of points raised in [Matias, arXiv:cond-mat/0507471v2 (2005)].

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Boccaletti , M. Chavez , A. Amann , D. -U. Hwang

In this article we show that some recent results on the existence of best proximity points can be obtained from the same result in fixed point theory.

Functional Analysis · Mathematics 2013-01-31 Ali Abkar , Moosa Gabeleh

We extend the general stochastic matching model on graphs introduced in (Mairesse and Moyal, 2016), to matching models on multigraphs, that is, graphs with self-loops. The evolution of the model can be described by a discrete time Markov…

Probability · Mathematics 2020-11-11 Jocelyn Begeot , Irène Marcovici , Pascal Moyal , Youssef Rahme

We extend Deligne's original argument showing that locally coherent topoi have enough points, clarified using collage diagrams. We show that our refinement of Deligne's technique can be adapted to recover every existing result of this kind,…

Category Theory · Mathematics 2024-07-08 Ivan Di Liberti , Morgan Rogers

In this paper we give an alternative proof and a refinement of a recent result of S.D.Iliadis concerning isometrically containing mappings. We address also a recent result by A.I.Oblakova.

General Topology · Mathematics 2017-06-15 Elżbieta Pol , Roman Pol

We provide self-contained proof of a theorem relating probabilistic coherence of forecasts to their non-domination by rival forecasts with respect to any proper scoring rule. The theorem appears to be new but is closely related to results…

Machine Learning · Statistics 2016-11-15 Joel Predd , Robert Seiringer , Elliott H. Lieb , Daniel Osherson , Vincent Poor , Sanjeev Kulkarni

The massive amounts of geolocation data collected from mobile phone records has sparked an ongoing effort to understand and predict the mobility patterns of human beings. In this work, we study the extent to which social phenomena are…

Physics and Society · Physics 2016-11-18 Nicolas Ponieman , Alejo Salles , Carlos Sarraute

In this paper we introduce generalised Markov numbers and extend the classical Markov theory for the discrete Markov spectrum to the case of generalised Markov numbers. In particular we show recursive properties for these numbers and find…

Number Theory · Mathematics 2018-09-07 Oleg Karpenkov , Matty van-Son

In this paper, we present a semantic mapping approach with multiple hypothesis tracking for data association. As semantic information has the potential to overcome ambiguity in measurements and place recognition, it forms an eminent…

Robotics · Computer Science 2020-12-09 Lukas Bernreiter , Abel Gawel , Hannes Sommer , Juan Nieto , Roland Siegwart , Cesar Cadena

Inspired by empirical work in neuroscience for Bayesian approaches to brain function, we give a unified probabilistic account of various types of symbolic reasoning from data. We characterise them in terms of formal logic using the…

Artificial Intelligence · Computer Science 2026-02-24 Hiroyuki Kido

Locality is a fundamental principle used extensively in program and system optimization. It can be measured in many ways. This paper formalizes the metrics of locality into a measurement theory. The new theory includes the precise…

Performance · Computer Science 2018-04-17 Liang Yuan , Chen Ding , Peter Denning , Yunquan Zhang

In everyday communication, where-questions are answered by place descriptions. To answer where-questions automatically, computers should be able to generate relevant place descriptions that satisfy inquirers' information needs.…

Information Retrieval · Computer Science 2022-03-24 Ehsan Hamzei , Stephan Winter , Martin Tomko

Text data are an important source of detailed information about social and political events. Automated systems parse large volumes of text data to infer or extract structured information that describes actors, actions, dates, times, and…

Computation and Language · Computer Science 2021-07-02 Benjamin J. Radford
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