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This work studies the learning abilities of agents sharing partial beliefs over social networks. The agents observe data that could have risen from one of several hypotheses and interact locally to decide whether the observations they are…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

This paper aims to examine the version of the topological group structure in proximity and especially descriptive proximity spaces, that is, the concepts of proximal group and descriptive proximal group are introduced. In addition, the…

General Topology · Mathematics 2023-09-06 Melih İs

Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

Physics and Society · Physics 2009-11-11 Matti Peltomaki , Mikko Alava

Brief lecture notes for a course about random matrices given at the University of Cambridge.

Probability · Mathematics 2013-05-10 Vladislav Kargin , Elena Yudovina

We develop local cohomology techniques to study the finite slope part of the coherent cohomology of Shimura varieties. The local cohomology groups we consider are a generalization of overconvergent modular forms, and they are defined by…

Number Theory · Mathematics 2021-10-22 George Boxer , Vincent Pilloni

This chapter is based on lectures on Randomized Numerical Linear Algebra from the 2016 Park City Mathematics Institute summer school on The Mathematics of Data.

Data Structures and Algorithms · Computer Science 2017-12-27 Petros Drineas , Michael W. Mahoney

I document 32 students who graduated to receive PhDs under Feynman's supervision. I provide links to their doctoral dissertations.

History and Philosophy of Physics · Physics 2018-09-25 T S Van Kortryk

In this paper, we propose and consider the problem of cooperative language acquisition as a particular form of the ad hoc team play problem. We then present a probabilistic model for inferring a speaker's intentions and a listener's…

Machine Learning · Computer Science 2023-05-23 Dylan Cope , Peter McBurney

In a recent volume of Mathematics Magazine (Vol. 90, No. 3, June 2017) there is an interesting article by Seth Zimmerman, titled Detecting Deficiencies: An Optimal Group Testing Algorithm. The claim in the summary is contradictory to…

Applications · Statistics 2018-02-28 Yaakov Malinovsky

These are slides for a talk given by the authors at the conference "Current developments and directions in the Langlands program" held in honor of Robert Langlands at the Northwestern University in May of 2008. The slides can be used as a…

Representation Theory · Mathematics 2013-01-03 Mitya Boyarchenko , Vladimir Drinfeld

This paper presents the course design titled "Learning Management" of which the goal is to "learn collaborative learning" for a first-year undergraduate student. The objective of the class design is to help transform the student's belief of…

Computers and Society · Computer Science 2013-08-08 Yoshiaki Matsuzawa , Sayaka Tohyama , Sanshiro Sakai

What should these lectures be? The subject assigned to us is so broad that many books can be written about it. So, in planning these lectures I had several options. One would be to focus on a narrow subset of topics and to cover them in…

Astrophysics of Galaxies · Physics 2016-10-31 Nickolay Y. Gnedin

A survey article for AMS Summer Institute at Seattle in 2005.

Algebraic Geometry · Mathematics 2008-04-22 Yujiro Kawamata

We use the data of tenured and tenure-track faculty at ten public and private math departments of various tiered rankings in the United States, as a case study to demonstrate the statistical and mathematical relationships among several…

History and Overview · Mathematics 2020-05-25 Victoria Chayes , Dodam Ih , Yukun Yao , Doron Zeilberger , Tianhao Zhang

There are various teaching methods developed in order to attain successful delivery of a subject without prior knowledge of the interaction among the students in a class. Social network analysis can be used to identify individual,…

Social and Information Networks · Computer Science 2019-06-12 R. U. Gobithaasan , Nurul Syaheera Din , Lingeswaran Ramachandra , Roslan Hasni

This paper agrees basically with the talk of the author at the workshop "Homological Mirror Symmetry and Applications", Institute for Advanced Study, Princeton, March 2007.

High Energy Physics - Theory · Physics 2007-06-27 Karl-Georg Schlesinger

These notes are based on my four lectures given at the Newton Institute in April 2004 during the Recent Perspectives in Random Matrix Theory and Number Theory Workshop. Their purpose is to introduce the reader to the analytic number theory…

Number Theory · Mathematics 2007-05-23 D. A. Goldston

The concept of subgroup commutativity degree of a finite group $G$ is arising interest in several areas of group theory in the last years, since it gives a measure of the probability that a randomly picked pair $(H,K)$ of subgroups of $G$…

Group Theory · Mathematics 2018-12-14 Francesco G. Russo

These are notes for the Bootcamp volume for the 2015 AMS Summer Institute in Algebraic Geometry. They are based on earlier notes for the "Positive Characteristic Algebraic Geometry Workshop" held at University of Illinois at Chicago in…

Algebraic Geometry · Mathematics 2017-01-25 Zsolt Patakfalvi , Karl Schwede , Kevin Tucker

We describe how a systematic use the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on various classical questions from analytic number theory.…

Number Theory · Mathematics 2019-11-26 Etienne Fouvry , Emmanuel Kowalski , Philippe Michel , Will Sawin
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