Probability theory

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Probabiilty spaces, events and conditional probabilities | Probability and Statistics

We now introduce some more formal structures to talk about probabillities: first the idea of a sample space S--the possible outcomes of an experiment, and then the idea of a probability measure P on such a sample space. Together these two (S,P) make what we call a probability space. An e

From playlist Probability and Statistics: an introduction

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(PP 5.1) Multiple discrete random variables

(0:00) Definition of a random vector. (1:50) Definition of a discrete random vector. (2:28) Definition of the joint PMF of a discrete random vector. (7:00) Functions of random vectors. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=

From playlist Probability Theory

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Probability DISTRIBUTIONS for Discrete Random Variables (9-3)

A Probability Distribution: a mathematical description of (a) all possible outcomes for a random variable, and (b) the probabilities of each outcome occurring. Can be tabular (i.e., frequency table) or graphical (i.e., bar chart or histogram). For a discrete random variable, the underlying

From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)

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Random variables, means, variance and standard deviations | Probability and Statistics

We introduce the idea of a random variable X: a function on a probability space. Associated to such a function is something called a probability distribution, which assigns probabilities, say p_1,p_2,...,p_n to the various possible values of X, say x_1,x_2,...,x_n. The probabilities p_i h

From playlist Probability and Statistics: an introduction

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Probability Density Functions (1 of 7: Meeting the conditions)

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From playlist Random Variables

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Example of Probability Density Function

Probability: The value of a randomly selected car is given by a random variable X whose distribution has density function f(x) =x^{-2} for x gt 1. Given that the value of a given randomly selected car is greater than 5, calculate the probability that the value is less than or equal to 1

From playlist Probability

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Uniform Probability Distribution Examples

Overview and definition of a uniform probability distribution. Worked examples of how to find probabilities.

From playlist Probability Distributions

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Probability & Statistics (3 of 62) Definition of Sample Spaces & Factorials

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what are sample spaces and factorials. Next video in series: http://youtu.be/EOk25Tb-1bM

From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS

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Sanjoy Mitter - Overview of variational approach to nonlinear filtering

PROGRAM: Nonlinear filtering and data assimilation DATES: Wednesday 08 Jan, 2014 - Saturday 11 Jan, 2014 VENUE: ICTS-TIFR, IISc Campus, Bangalore LINK:http://www.icts.res.in/discussion_meeting/NFDA2014/ The applications of the framework of filtering theory to the problem of data assimi

From playlist Nonlinear filtering and data assimilation

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2 Ruediger - Stochastic Integration & SDEs

PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW DATES Monday 03 Dec, 2012 - Thursday 20 Dec, 2012 VENUE School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram Stochastic analysis and control of fluid flow problems have

From playlist Winter School on Stochastic Analysis and Control of Fluid Flow

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Edward Ionides: Island filters for inference on metapopulation dynamics

Low-dimensional compartment models for biological systems can be fitted to time series data using Monte Carlo particle filter methods. As dimension increases, for example when analyzing a collection of spatially coupled populations, particle filter methods rapidly degenerate. We show that

From playlist Probability and Statistics

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Part1. Data assimilation using particle filters... - Crisan - Workshop 2 - CEB T3 2019

Crisan (Imperial College London, UK) / 13.11.2019 Data assimilation using particle filters for class of partially observed stochastic geophysical fluid dynamics models. Part I ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actua

From playlist 2019 - T3 - The Mathematics of Climate and the Environment

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Luis Scoccola (12/5/21): Density-sensitive and robust Vietoris-Rips filtrations

The Vietoris-Rips (VR) filtration is 1-Lipschitz with respect to the Gromov-Hausdorff distance. Although useful in many applications, this type of result presents two difficulties: VR cannot distinguish datasets that are metrically similar but whose density structure is significantly diffe

From playlist Vietoris-Rips Seminar

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AMMI Course "Geometric Deep Learning" - Lecture 9 (Manifolds & Meshes) - Michael Bronstein

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July-August 2021 by Michael Bronstein (Imperial College/Twitter), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 9: Euclidean vs Non-Euclidean

From playlist AMMI Geometric Deep Learning Course - First Edition (2021)

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(PP 3.4) Random Variables with Densities

(0:00) Probability density function (PDF). (3:20) Indicator functions. (5:00) Examples of random variables with densities: Uniform, Exponential, Beta, Normal/Gaussian. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5

From playlist Probability Theory

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How does YouTube recommend videos? - AI EXPLAINED!

How does Youtube recommend videos? This is a question you’ve all thought about at least once. There is much talk in the creator community that YouTube only values “watch time”. But is this really true? In this video, I am going to break down google’s paper on YouTube’s recommender system.

From playlist Deep Learning Research Papers

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(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

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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

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Filtration (probability theory)