In information theory, the binary entropy function, denoted or , is defined as the entropy of a Bernoulli process with probability of one of two values. It is a special case of , the entropy function. Mathematically, the Bernoulli trial is modelled as a random variable that can take on only two values: 0 and 1, which are mutually exclusive and exhaustive. If , then and the entropy of (in shannons) is given by , where is taken to be 0. The logarithms in this formula are usually taken (as shown in the graph) to the base 2. See binary logarithm. When , the binary entropy function attains its maximum value. This is the case of an unbiased coin flip. is distinguished from the entropy function in that the former takes a single real number as a parameter whereas the latter takes a distribution or random variable as a parameter.Sometimes the binary entropy function is also written as .However, it is different from and should not be confused with the Rényi entropy, which is denoted as . (Wikipedia).
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
Learn step by step how to find the inverse of an equation, then determine if a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
Learn how to find inverse of a function and determine if the inverse is a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
Graphing and determining the inverse of a function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
Finding the inverse of a function- Free Online Tutoring
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
How does the graph of a function compare to it's inverse
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
Step by step learn how to write the inverse of a function and determine if a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
How to find and graph the inverse of a linear function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
PyTorch Tutorial 11 - Softmax and Cross Entropy
New Tutorial series about Deep Learning with PyTorch! ⭐ Check out Tabnine, the FREE AI-powered code completion tool I use to help me code faster: https://www.tabnine.com/?utm_source=youtube.com&utm_campaign=PythonEngineer * In this part we learn about the softmax function and the cross en
From playlist PyTorch Tutorials - Complete Beginner Course
Measuring the configurational entropy in computer simulation ... (Lecture 2) by Ludovic Berthier
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Function Entropy in Deep-Learning Networks – Mean Field Behaviour and Large... by David Saad
DISCUSSION MEETING : STATISTICAL PHYSICS OF MACHINE LEARNING ORGANIZERS : Chandan Dasgupta, Abhishek Dhar and Satya Majumdar DATE : 06 January 2020 to 10 January 2020 VENUE : Madhava Lecture Hall, ICTS Bangalore Machine learning techniques, especially “deep learning” using multilayer n
From playlist Statistical Physics of Machine Learning 2020
Carlo Baldassi: "On the existence of wide flat minima in neural network landscapes: analytic and..."
Machine Learning for Physics and the Physics of Learning 2019 Workshop IV: Using Physical Insights for Machine Learning "On the existence of wide flat minima in neural network landscapes: analytic and algorithm approaches" Carlo Baldassi - Bocconi University Abstract: The techniques c
From playlist Machine Learning for Physics and the Physics of Learning 2019
Learn how to find the inverse of a linear equation step by step
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
Nexus Trimester - Joerg Kliewer (New Jersey Institute of Technology)
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From playlist Nexus Trimester - 2016 - Secrecy and Privacy Theme
Huffman Codes: An Information Theory Perspective
Huffman Codes are one of the most important discoveries in the field of data compression. When you first see them, they almost feel obvious in hindsight, mainly due to how simple and elegant the algorithm ends up being. But there's an underlying story of how they were discovered by Huffman
From playlist Data Compression
Riccardo Zecchina: "Evidence for local entropy optimization in machine learning, physics and neu..."
Machine Learning for Physics and the Physics of Learning 2019 Workshop IV: Using Physical Insights for Machine Learning "Evidence for local entropy optimization in machine learning, physics and neuroscience" Riccardo Zecchina - Bocconi University Institute for Pure and Applied Mathemat
From playlist Machine Learning for Physics and the Physics of Learning 2019
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PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Polar Codes and Randomness Extraction for Structured Sources - Emmanuel Abbe
Emmanuel Abbe Princeton University February 25, 2013 Polar codes have recently emerged as a new class of low-complexity codes achieving Shannon capacity. This talk introduces polar codes with emphasis on the probabilistic phenomenon underlying the code construction. New results and connect
From playlist Mathematics
Ex 1: Find the Inverse of a Function
This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Determining Inverse Functions