Information theory | Entropy and information | Statistical randomness
Differential entropy (also referred to as continuous entropy) is a concept in information theory that began as an attempt by Claude Shannon to extend the idea of (Shannon) entropy, a measure of average surprisal of a random variable, to continuous probability distributions. Unfortunately, Shannon did not derive this formula, and rather just assumed it was the correct continuous analogue of discrete entropy, but it is not. The actual continuous version of discrete entropy is the limiting density of discrete points (LDDP). Differential entropy (described here) is commonly encountered in the literature, but it is a limiting case of the LDDP, and one that loses its fundamental association with discrete entropy. In terms of measure theory, the differential entropy of a probability measure is the negative relative entropy from that measure to the Lebesgue measure, where the latter is treated as if it were a probability measure, despite being unnormalized. (Wikipedia).
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
How to solve differentiable equations with logarithms
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Introduction to Differential Inequalities
What is a differential inequality and how are they useful? Inequalities are a very practical part of mathematics: They give us an idea of the size of things -- an estimate. They can give us a location for things. It is usually far easier to satisfy assumptions involving inequalities t
From playlist Advanced Studies in Ordinary Differential Equations
Introduction to Differential Equation Terminology
This video defines a differential equation and then classifies differential equations by type, order, and linearity. Search Library at http://mathispower4u.wordpress.com
From playlist Introduction to Differential Equations
How to solve a differentialble equation by separating the variables
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
Find the particular solution with exponential and inverse trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
Introduction to Differential Equations
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Differential Equations - The types of differential equations, ordinary versus partial. - How to find the order of a differential equation.
From playlist Differential Equations
Solve differentiable equations with In
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
(0.3.101) Exercise 0.3.101: Classifying Differential Equations
This video explains how to classify differential equations based upon their properties https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Lecture 4 | Modern Physics: Statistical Mechanics
April 20, 2009 - Leonard Susskind explains how to calculate and define pressure, explores the formulas some of applications of Helm-Holtz free energy, and discusses the importance of the partition function. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies P
From playlist Lecture Collection | Modern Physics: Statistical Mechanics
A surprising majorization relation and its applications - N. Datta - Main Conference - CEB T3 2017
Nilanjana Datta (Cambridge) / 11.12.2017 Title: A surprising majorization relation and its applications Abstract: Any two arbitrary quantum states, acting on a given Hilbert space, need not be related by a majorization ordering, even if they are close to each other. Surprisingly, howeve
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
A Non-Commutative Analog of the Metric for which the... Gradient Flow for the Entropy - Eric Carlen
Eric Carlen Rutgers, The State University of New Jersey November 13, 2012 The Fermionic Fokker-Planck equation is a quantum-mechanical analog of the classical Fokker-Planck equation with which it has much in common, such as the same optimal hypercontractivity properties. In this paper we
From playlist Mathematics
Nexus Trimester - Mokshay Madiman (University of Delaware)
The Stam region, or the differential entropy region for sums of independent random vectors Mokshay Madiman (University of Delaware) February 25, 2016 Abstract: Define the Stam region as the subset of the positive orthant in [Math Processing Error] that arises from considering entropy powe
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Engineering MAE 91. Intro to Thermodynamics. Lecture 14.
UCI MAE 91: Introduction to Thermodynamics (Spring 2013). Lec 14. Intro to Thermodynamics -- Thermodynamic Property Relations -- View the complete course: http://ocw.uci.edu/courses/mae_91_introduction_to_thermal_dynamics.html Instructor: Roger Rangel, Ph.D. License: Creative Commons CC-B
From playlist Engineering MAE 91. Intro to Thermodynamics
Statistical Mechanics Lecture 4
(April 23, 2013) Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibrium and with maximum entropy. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.st
From playlist Course | Statistical Mechanics
Dima Grigoriev, University of Lille
March 19, Dima Grigoriev, University of Lille Tropical recurrent sequences
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
DDPS | Entropy stable schemes for nonlinear conservation laws
High order methods are known to be unstable when applied to nonlinear conservation laws with shocks and turbulence, and traditionally require additional filtering, limiting, or artificial viscosity to avoid solution blow up. Entropy stable schemes address this instability by ensuring that
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and... - Erman Cineli
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective Speaker: Erman Cineli Date: February 25, 2022 In this talk I will introduce barcode entropy and discuss
From playlist Mathematics
Rocío González Díaz (3/16/22): Persistent entropy, a tool for topologically summarizing data.
Title: Introducing persistent entropy, a tool for topologically summarizing data. Properties and applications. Abstract: In this talk, I will introduce an entropy-based summarization of persistence barcodes. We will study some of its properties, including its stability to small perturb
From playlist AATRN 2022
Differential Equations | Variation of Parameters.
We derive the general form for a solution to a differential equation using variation of parameters. http://www.michael-penn.net
From playlist Differential Equations