Galois theory | Euclidean plane geometry | Cyclotomic fields
In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. The periods permit explicit calculations in cyclotomic fields connected with Galois theory and with harmonic analysis (discrete Fourier transform). They are basic in the classical theory called cyclotomy. Closely related is the Gauss sum, a type of exponential sum which is a linear combination of periods. (Wikipedia).
(ML 19.1) Gaussian processes - definition and first examples
Definition of a Gaussian process. Elementary examples of Gaussian processes.
From playlist Machine Learning
(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian
An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.
From playlist Probability Theory
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Jesús María Sanz-Serna: Gauss's Gaussian quadrature
HYBRID EVENT Recorded during the meeting "1Numerical Methods and Scientific Computing" the November 9, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on
From playlist Numerical Analysis and Scientific Computing
This E-Lecture discusses the period of Old English with its main phases: from the arrival of the Anglo-Saxons, via the constant invasions of the Vikings up to a detailed account of what happend in 1066. Thus, the E-Lecture is more or less socio-culturally oriented, rather than linguistic.
From playlist VLC203 - The History of English
Baroque Music - History of Baroque Music
Baroque music is a period or style of Western art music composed from approximately 1600 to 1750. This era followed the Renaissance music era, and was followed in turn by the Classical era. Baroque music forms a major portion of the "classical music" canon, and is now widely studied, perfo
From playlist Classical Music
Special Relativity B4 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity
(ML 19.2) Existence of Gaussian processes
Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.
From playlist Machine Learning
(ML 19.4) Examples of Gaussian processes (part 2)
Illustrative examples of several Gaussian processes, and visualization of samples drawn from these Gaussian processes. (Random planes, Brownian motion, squared exponential GP, Ornstein-Uhlenbeck, a periodic GP, and a symmetric GP).
From playlist Machine Learning
“The Automatic Statistician”– Professor Zoubin Ghahramani
Talk given by Professor of Information Engineering at the University of Cambridge, leader of the Cambridge Machine Learning Group, and the Cambridge Liaison Director of the Alan Turing Institute; Zoubin Ghahramani. The lecture regards the use of Bayesian model selection strategies that aut
From playlist Turing Seminars
From playlist COMP0168 (2020/21)
12: Spectral Analysis Part 2 - Intro to Neural Computation
MIT 9.40 Introduction to Neural Computation, Spring 2018 Instructor: Michale Fee View the complete course: https://ocw.mit.edu/9-40S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61I4aI5T6OaFfRK2gihjiMm Covers Fourier transform pairs and power spectra, spectral esti
From playlist MIT 9.40 Introduction to Neural Computation, Spring 2018
ML Tutorial: Bayesian Machine Learning (Zoubin Ghahramani)
Machine Learning Tutorial at Imperial College London: Bayesian Machine Learning Zoubin Ghahramani (University of Cambridge) January 29, 2014
From playlist Machine Learning Tutorials
Probability 101e: Stories that relate central limit theorem to physics and biology
(C) 2012 David Liao lookatphysics.com CC-BY-SA (Replaces previous unscripted draft) Physics: Taylor expansion in the context of tightly-controlled, narrow instrument noise Biology: Logarithm of product of fluctuating factors: Log-normal distributions
From playlist Probability, statistics, and stochastic processes
A path integral approach to entanglement and non-equilibrium dynamics by Krishnendu Sengupta
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Lozenge Tilings and the Gaussian Free Field on a Cylinder - Marianna Russkikh
Probability Seminar Lozenge Tilings and the Gaussian Free Field on a Cylinder Marianna Russkikh California Institute of Technology Date: November 18, 2022 We discuss new results on lozenge tilings on an infinite cylinder, which may be analyzed using the periodic Schur process introduced
From playlist Mathematics
Compositional inductive biases in human function learning - Samuel J. Gershman
IAS-PNI Seminar on ML and Neuroscience Topic: Compositional inductive biases in human function learning Speaker: Samuel J. Gershman Affiliation: Harvard University Date: January 14, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Universality and Chaos in Two-Dimensional Classical Ising Spin Glasses - David Huse
David Huse Princeton University; Member, School of Mathematics December 17, 2010 ANALYSIS/MATHEMATICAL PHYSICS SEMINAR We develop the droplet scaling theory for the low temperature critical behavior of two-dimensional Ising spin glasses. The models with integer bond energies vs. continuou
From playlist Mathematics
Special Relativity B1 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity