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Recommender Systems (RS) have employed knowledge distillation which is a model compression technique training a compact student model with the knowledge transferred from a pre-trained large teacher model. Recent work has shown that…

Machine Learning · Computer Science 2021-06-17 SeongKu Kang , Junyoung Hwang , Wonbin Kweon , Hwanjo Yu

The mathematical achievements of Harry Kesten since the mid-1950s have revolutionized probability theory as a subject in its own right and in its associations with aspects of algebra, analysis, geometry, and statistical physics. Through his…

History and Overview · Mathematics 2020-03-23 Geoffrey R. Grimmett , Gregory F. Lawler

This is the introduction I wrote for the multi-authored book "From Riemann to differential geometry and relativity", edited by L. Ji, A. Papadopoulos and S. Yamada (Berlin, Springer verlag, 2017). The book consists of twenty chapters,…

History and Overview · Mathematics 2017-09-04 Athanase Papadopoulos

Donald (Don) Arthur Berry, born May 26, 1940 in Southbridge, Massachusetts, earned his A.B. degree in mathematics from Dartmouth College and his M.A. and Ph.D. in statistics from Yale University. He served first on the faculty at the…

Methodology · Statistics 2012-03-27 Dalene Stangl , Lurdes Y. T. Inoue , Telba Z. Irony

These are extended notes of the course given by the author at RIMS, Kyoto, in October 2016. The aim is to give a self-contained overview on the recently developed approach to differential calculus on metric measure spaces. The effort is…

Differential Geometry · Mathematics 2017-03-21 Nicola Gigli

Lectures presented at the Spring School, Trieste, Italy 1993.

High Energy Physics - Theory · Physics 2016-11-03 Antal Jevicki

This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and quantitative symplectic geometry'' that took place at the…

This lecture notes are an expanded version of the course given at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013. The lectures aim to explain the main steps of a new proof of…

Differential Geometry · Mathematics 2015-01-16 Emanuele Spadaro

Charles L. Dodgson, also known as Lewis Carroll, in his book "Pillow problems" from 1893 asked for the likelihood of a random triangle to be obtuse. Clearly, the answer to Dodgson's question depends strongly on the assumed random…

Probability · Mathematics 2025-08-27 Theodore D. Drivas , Michael Retakh

An introduction is given to the Littlewood-Richardson rule, and various combinatorial constructions related to it. We present a proof based on tableau switching, dual equivalence, and coplactic operations. We conclude with a section…

Combinatorics · Mathematics 2007-05-23 Marc A. A. van Leeuwen

Fully 3-dimensional computations of flow through a long pipe demand a huge number of degrees of freedom, making it very expensive to explore parameter space and difficult to isolate the structure of the underlying dynamics. We therefore…

Fluid Dynamics · Physics 2008-10-13 Ashley P. Willis , Rich R. Kerswell

Yuan Shih Chow was born in Hubei province in China, on September 1, 1924. The eldest child of a local militia and political leader, he grew up in war and turmoil. His hometown was on the front line during most of the Japanese invasion and…

Statistics Theory · Mathematics 2007-06-13 Zhiliang Ying , Cun-Hui Zhang

A brief description and results of A.M. Mathai's research programme on statistics and probability, initiated in the 1970s, and its relation to physics is given.

History and Philosophy of Physics · Physics 2011-03-01 H. J. Haubold

Quaternions, discovered by Sir William Rowan Hamilton in the 19th century, are a significant extension of complex numbers and a profound tool for understanding three-dimensional rotations. This work explores the quaternion's history,…

These lecture notes have been converted to a book titled Network Information Theory published recently by Cambridge University Press. This book provides a significantly expanded exposition of the material in the lecture notes as well as…

Information Theory · Computer Science 2011-12-15 Abbas El Gamal , Young-Han Kim

Quaternion, an extension of complex number, is the first discovered non-commutative division algebra by William Rowan Hamilton in 1843. In this article, we review the recent progress on building up the connection between the mathematical…

Strongly Correlated Electrons · Physics 2022-01-31 Congjun Wu

This survey article on Hilbert's first and second problems is adapted from a one-hour colloquium lecture given at the University of Auckland in May, 2000, just three months before the 100th anniversary of Hilbert's lecture. It includes an…

General Mathematics · Mathematics 2007-05-23 Peter J. Nyikos

I describe parts of my joint work with S. Deser [March 19, 1931 - April 21, 2023] which started when I was working as a post-doc at Brandeis University in 2001. Our work was mostly, but not exclusively, on conserved charges of higher…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Bayram Tekin

A talk presented at the April 2016 APS meeting in Salt Lake City: The speaker had the great good fortune to take an undergraduate course in group theory from Sidney Coleman, and (after graduate school away) was hired by Coleman to a…

History and Philosophy of Physics · Physics 2016-06-14 Howard Georgi