Principles of the Theory of Probability is a 1939 book about probability by the philosopher Ernest Nagel. It is considered a classic discussion of its subject. (Wikipedia).
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Teach Astronomy - Atoms and Probability
http://www.teachastronomy.com/ The quantum theory of matter imbeds the idea of probability in a fundamental way. There is no certainty when it comes to talking about atoms and fundamental particles. This is embodied most clearly in Heisenberg's Uncertainty Principle where, when we know t
From playlist 06. Optics and Quantum Theory
(PP 6.6) Geometric intuition for the multivariate Gaussian (part 1)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
(PP 6.7) Geometric intuition for the multivariate Gaussian (part 2)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
Introductory Probability Theory
A video introducing and deriving the foundations of probability theory up until the law of total probability and Bayes' theorem. This is an entry to the Summer of Math Exposition held by @3blue1brown. #SoME2 #3b1b #probability
From playlist Summer of Math Exposition 2 videos
(PP 6.4) Density for a multivariate Gaussian - definition and intuition
The density of a (multivariate) non-degenerate Gaussian. Suggestions for how to remember the formula. Mathematical intuition for how to think about the formula.
From playlist Probability Theory
A Friendly Introduction to Rigorous Probability Theory || Chapter 1, Probability Spaces
Here, I talk about why a rigorous (measure theoretic) framework for probability theory is needed, and also give an intuitive idea of various abstract ideas in rigorous probability such as sigma-algebras and the axioms of probability. This is my contribution to Grant Sanderson's (3blue1brow
From playlist Summer of Math Exposition Youtube Videos
(PP 1.7) Measure theory: More Properties of Probability Measures
Several more useful properties of probability measures. (These are good as exercises.) (3:10) Inclusion-Exclusion formula. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (S
From playlist Probability Theory
Large deviations theory applied to large scale (...) - P. Reimberg - Workshop 1 - CEB T3 2018
Paulo Reimberg (IPhT) / 20.09.2018 Large deviations theory applied to large scale structure cosmology ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : ht
From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Lee Smolin Public Lecture Special: Einstein’s Unfinished Revolution
On April 17, in a special webcast talk based on his latest book, Einstein’s Unfinished Revolution, Perimeter’s Lee Smolin argued that the problems that have bedeviled quantum physics since its inception are unsolved and unsolvable for the simple reason that the theory is incomplete. There
From playlist Public Lecture Series
Richard P. Feynman: Theory, Prediction, Observation
Richard P. Feynman Lecture #7 Cornell University 1964 My personal favorite min of these lectures occurs from 16:36 to 17:36, but keep going to at least 23:36
From playlist Feynman's Lectures
The measurement problem and some mild solutions by Dustin Lazarovici ( Lecture - 01)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
John Rawls' A Theory of Justice - Jonathan Wolff (2010)
John Rawls' A Theory of Justice is one of the most important works of political philosophy of the 20th century. In this program, Nigel Warburton interviews Jonathan Wolff about John Rawls' main ideas and their limitations. John Rawls' argument takes the form of a thought experiment involvi
From playlist Social & Political Philosophy
Large deviations in Nonequilibrium (Lecture 5) by Christian Maes
PROGRAM : FLUCTUATIONS IN NONEQUILIBRIUM SYSTEMS: THEORY AND APPLICATIONS ORGANIZERS : Urna Basu and Anupam Kundu DATE : 09 March 2020 to 19 March 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore THIS PROGRAM HAS BEEN MODIFIED ONLY FOR LOCAL (BANGALORE) PARTICIPANTS DUE TO COVID-19 RI
From playlist Fluctuations in Nonequilibrium Systems: Theory and Applications
Joscha Prochno: The large deviations approach to high-dimensional convex bodies, Lecture I
Given any isotropic convex body in high dimension, it is known that its typical random projections will be approximately standard Gaussian. The universality in this central limit perspective restricts the information that can be retrieved from the lower-dimensional projections. In contrast
From playlist Workshop: High dimensional spatial random systems
Statistics: Ch 4 Probability in Statistics (20 of 74) Definition of Probability
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the “strict” definition of experimental (empirical) and theoretical probability. Next video in this series can be seen
From playlist STATISTICS CH 4 STATISTICS IN PROBABILITY
Benjamin Gess: "Large deviations for conservative, stochastic PDE and non-equilibrium fluctuations"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Large deviations for conservative, stochastic PDE and non-equilibrium fluctuations" Benjamin Gess - Universität Leipzig Abstract: Macroscopic fluctuation theory provides a general
From playlist High Dimensional Hamilton-Jacobi PDEs 2020