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These lecture notes were written for the course 18.657, High Dimensional Statistics at MIT. They build on a set of notes that was prepared at Princeton University in 2013-14 that was modified (and hopefully improved) over the years.

Statistics Theory · Mathematics 2023-10-31 Philippe Rigollet , Jan-Christian Hütter

The 60th birthday of Johann Rafelski was celebrated during the Strangeness in Quark Matter 2011 in Krakow. Johann was born in Krakow and he initiated the series of the SQM conferences. This report, which briefly presents my personal view on…

High Energy Physics - Phenomenology · Physics 2012-05-09 M. Gazdzicki

Modern demands of the statistics profession call for reimagining statistics training. The discipline needs to attract and develop students who are effective as real-world problem solvers, interdisciplinary collaborators, communicators,…

Other Statistics · Statistics 2023-06-16 Camden L. Lopez

Jim Hannan is a professor who has lived an interesting life and one whose fundamental research in repeated games was not fully appreciated until late in his career. During his service as a meteorologist in the Army in World War II, Jim…

Other Statistics · Statistics 2010-11-05 Dennis Gilliland , R. V. Ramamoorthi

The theory of random real numbers is exceedingly well-developed, and fascinating from many points of view. It is also quite challenging mathematically. The present notes are intended as no more than a gateway to the larger theory. They…

Computational Complexity · Computer Science 2012-09-14 Daniel Osherson , Scott Weinstein

David Brink was one of the leading theoretical nuclear physicists of his generation. He made major contributions to the study of all aspects of nuclear physics embracing nuclear structure, nuclear scattering, and nuclear instability. His…

History and Philosophy of Physics · Physics 2023-01-10 C. V. Sukumar , A. Bonaccorso

Understanding determinants of success in academic careers is critically important to both scholars and their employing organizations. While considerable research efforts have been made in this direction, there is still a lack of a…

Computers and Society · Computer Science 2022-11-22 Chenguang Du , Deqing Wang , Fuzhen Zhuang , Hengshu Zhu

The article is dedicated to recalling the life and mathematics of Louis Nirenberg, a distinguished Canadian mathematician who recently died in New York, where he lived. An emblematic figure of Analysis and Partial Differential Equations in…

History and Overview · Mathematics 2021-05-28 Juan Luis Vázquez

Despite the increasing number of women graduating in mathematics, a systemic gender imbalance persists and is signified by a pronounced gender gap in the distribution of active researchers and professors. Especially at the level of…

History and Overview · Mathematics 2016-12-06 Helena Mihaljević-Brandt , Lucía Santamaría , Marco Tullney

These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to record here my gratitude to MSRI, and its staff, for making…

Representation Theory · Mathematics 2016-09-06 Steve Gelbart

Markov chain Monte Carlo methods have become standard tools in statistics to sample from complex probability measures. Many available techniques rely on discrete-time reversible Markov chains whose transition kernels build up over the…

Methodology · Statistics 2017-02-21 Alexandre Bouchard-Côté , Sebastian J. Vollmer , Arnaud Doucet

Studying the complex quantum dynamics of interacting many-body systems is one of the most challenging areas in modern physics. Here, we use machine learning (ML) models to identify the symmetrized base states of interacting Rydberg atoms of…

Quantum Physics · Physics 2021-08-13 Daryl Ryan Chong , Minhyuk Kim , Jaewook Ahn , Heejeong Jeong

The early history of our department was dominated by Jerzy Neyman (1894-1981), while the next phase was largely in the hands of Neyman's students, with Erich Lehmann (1917-2009) being a central, long-lived and much-loved member of this…

Other Statistics · Statistics 2012-02-01 Terry Speed , Jim Pitman , John Rice

Mendelian randomization (MR) is a method of exploiting genetic variation to unbiasedly estimate a causal effect in presence of unmeasured confounding. MR is being widely used in epidemiology and other related areas of population science. In…

Applications · Statistics 2019-01-03 Qingyuan Zhao , Jingshu Wang , Gibran Hemani , Jack Bowden , Dylan S. Small

We consider a multitype branching process with immigration in a random environment introduced by Key in [Ann. Probab. 15 (1987) 344--353]. It was shown by Key that, under the assumptions made in [Ann. Probab. 15 (1987) 344--353], the…

Probability · Mathematics 2009-09-29 Alexander Roitershtein

Artificial Intelligence (AI) has apparently become one of the most important techniques discovered by humans in history while the human brain is widely recognized as one of the most complex systems in the universe. One fundamental critical…

Two formulas are set in floor-tiles in the foyer of the Wuerzburg building that houses the laboratory in which Wilhelm Roentgen discovered X-rays in 1895. But what do they mean, and what have they got to do with Roentgen or his work? The…

History and Philosophy of Physics · Physics 2020-07-13 Anthony John Bracken

These lecture notes were prepared for a special topics course in the Department of Statistics at the University of Washington, Seattle. They comprise the first eight chapters of a book currently in progress.

Statistics Theory · Mathematics 2024-07-16 Fang Han

The ASTROMOVES project studies the career moves and the career decision-making of astrophysicists. The astrophysicists participating have to have made at least two career moves after receiving their doctorates, which is usually between 4…

Instrumentation and Methods for Astrophysics · Physics 2021-12-07 Jarita Holbrook

When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten important probability metrics/distances that are used by…

Probability · Mathematics 2007-05-23 Alison L. Gibbs , Francis Edward Su