Theory of probability distributions | F-divergences | Statistical distance
In probability and statistics, the Hellinger distance (closely related to, although different from, the Bhattacharyya distance) is used to quantify the similarity between two probability distributions. It is a type of f-divergence. The Hellinger distance is defined in terms of the Hellinger integral, which was introduced by Ernst Hellinger in 1909. It is sometimes called the Jeffreys distance. (Wikipedia).
What is the distance between two sets of points? | Hausdorff Distance
What is the distance between two sets of points is a non-trivial question that has applications all over the place, from bioinformatics and computer science to fractal geometry. In this video, I'll give a bit of motivation, introduce the delta expansion of a set and then give the distance
From playlist The New CHALKboard
An introduction to the Gromov-Hausdorff distance
Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any
From playlist Tutorials
From playlist Contributed talks One World Symposium 2020
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity. This is a calculus problem where we find a limit as u approaches infinity. In this case we have a rational function and the numerator and denominator have the same growth rate, so the limit is the ratio of the leading coef
From playlist Limits at Infinity
A comparative analysis between two time-discretized versions of the... by Antonio Gómez Corral
DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore
From playlist Mathematical and statistical explorations in disease modelling and public health
Distance Between Two Vertices in Graphs | Graph Theory
What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter in today's lesson! The distance between two connected vertices is the length of a shortest path connecting them. The distance betw
From playlist Graph Theory
Entropic and metric uncertainty relations (...) - R. Adamczak - Workshop 2 - CEB T3 2017
Radosław Adamczak / 24.10.17 Entropic and metric uncertainty relations for random unitary matrices I will discuss recent results concerning almost optimal entropic and metric (total-variation and Hellinger) uncertainty relations which hold with high probability for measurements given by
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
This video show how to use the distance formula to determine the distance between two points. It also shows how it is derived from the Pythagorean theorem. http://mathispower4u.yolasite.com/
From playlist Using the Distance Formula / Midpoint Formula
Anup Rao : Communication Complexity and Information Complexity - 3
The study of efficient communication communication using tools from information theory has led to many interesting results for basic problems in the last few decades. In this mini-course, we shall learn the basic concepts of communication complexity and see some its applications to distrib
From playlist Nexus Trimester - 2016 -Tutorial Week at CIRM
Matthias Liero: On entropy transport problems and the Hellinger Kantorovich distance
In this talk, we will present a general class of variational problems involving entropy-transport minimization with respect to a couple of given finite measures with possibly unequal total mass. These optimal entropy-transport problems can be regarded as a natural generalization of classic
From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"
Nexus trimester - Chandra Nair (Chinese University of Hong Kong) 2/2
Tensorization of information functionals (Part II): Applications in establishing optimality of Gaussian distributionsand in a Boolean function Conjecture Chandra Nair (Chinese University of Hong Kong) February 05, 2016 Abstract: A method for proving optimality of Gaussian distributions in
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
Limit of sqrt(9x^6 - x)/(x^3 + 1) as x approaches infinity
Limit of sqrt(9x^6 - x)/(x^3 + 1) as x approaches infinity. We divide the numerator and denominator by the sqruare root of x^6 to do this. Note sqrt(x^6) = x^3 in this problem because x is approaching infinity. If you enjoyed this video please consider liking, sharing, and subscribing. U
From playlist Limits at Infinity
Nexus Trimester - Ankit Garg (Princeton)
Communication Lower Bounds for Statistical Estimation Problems via a Distributed Data Processing Inequality Ankit Garg (Princeton) March 03, 2016 Abstract: We study the tradeoff between the statistical error and communication cost of distributed statistical estimation problems in high di
From playlist Nexus Trimester - 2016 - Central Workshop
Giuseppe Savaré - Tribute to Ennio De Giorgi - 20 September 2016
Savaré, Giuseppe "The Hellinger-Kantorovich distance between positive measures and Optimal Entropy-Transport problems"
From playlist A Mathematical Tribute to Ennio De Giorgi
How to Compute a One Sided limit as x approaches from the right
In this video I will show you How to Compute a One Sided limit as x approaches from the right.
From playlist One-sided Limits
What does it mean to subtract one distribution from another?
Why calculating the difference between distributions is important. My Patreon : https://www.patreon.com/user?u=49277905
From playlist Data Science Concepts
Distance Formula given two points
In this video, we review how to calculate the distance if we are given the value of two points
From playlist Geometry
Ex: Find the Shortest Distance Between Two Locations North and West
This video explains how to determine the distance between locations due North and due West from a starting point. http://mathispower4u.com
From playlist Using the Pythagorean Theorem
Nexus Trimester - Amit Chakrabarti (Dartmouth College) 2/2
Communication Complexity with a more-than usal emphasis on Upper Bounds. Part 2 : The Information Complexity Paradigm Amit Chakrabarti (Dartmouth College) March 07, 2016 Abstract: This will be a tutorial-style (long) talk, giving an overview of the important basic results in communication
From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester
Determining the Shortest Distance Between a Line and a Point
http://mathispower4u.wordpress.com/
From playlist Properties of Perpendicular Lines