Mathematical optimization | Fairness criteria
In operations research and social choice, the proportional-fair (PF) rule is a rule saying that, among all possible alternatives, one should pick an alternative that cannot be improved, where "improvement" is measured by the sum of relative improvements possible for each individual agent. It aims to provide a compromise between the utilitarian rule - which emphasizes overall system efficiency, and the egalitarian rule - which emphasizes individual fairness. The rule was first presented in the context of rate control in communication networks. However, it is a general social choice rule and can also be used, for example, in resource allocation. (Wikipedia).
This video introduced fair division. Site: http://mathispower4u.com
From playlist Fair Division
Any function proportional to a PMF or PDF uniquely determines it. Using proportionality is a extremely useful trick when doing Bayesian inference.
From playlist Machine Learning
Fair Division: The Sealed Bid Method
This video explains and provides examples of how to apply the sealed bid method. Site: http://mathispower4u.com
From playlist Fair Division
Voting Theory: Fairness Criterion
This video define 4 Fairness Criterion for determining the winner of an election. Site: http://mathispower4u.com
From playlist Voting Theory
Math for Liberal Studies - Lecture 2.8.1 Weighted Voting Systems
This is the first video for Math for Liberal Studies Section 2.8: Weighted Voting Systems. In this video, I talk about the basic definitions and notation for weighted voting systems. In these systems, the voters are treated unequally. This may seem unfair, but there are many real-world exa
From playlist Math for Liberal Studies Lectures
Z Test of a Proportion Write Up
Calculations, conclusions, and write up for a Z Test on an unknown population proportion [in accordance with AP Statistics requirements]
From playlist Unit 8: Hypothesis Tests & Confidence Intervals for Single Means & for Single Proportions
How to use the LCD to help us solve a rational equation
๐ Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Rational Equations
Mathematics Public Lecture Moon Duchin
Political Thicket, Mathematical Quagmire: How voting is and is not a math problem
From playlist Mathematics Research Center
Evaluating Fairness in Redistricting by Jon Mattingly
Program Advances in Applied Probability II (ONLINE) ORGANIZERS: Vivek S Borkar (IIT Bombay, India), Sandeep Juneja (TIFR Mumbai, India), Kavita Ramanan (Brown University, Rhode Island), Devavrat Shah (MIT, US) and Piyush Srivastava (TIFR Mumbai, India) DATE: 04 January 2021 to 08 Januar
From playlist Advances in Applied Probability II (Online)
How to apply the power to power rule with rational exponents
๐ Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an expression with an exponent is raised to another exponent tha
From playlist Raise an Exponent to a Fraction
Teaching the power of product rule without talking
๐ Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents
"Ariadne's Secret Boyfriend!" - Socrates Jones Part V
Some serious drama in this episode as we edge ever closer to the epic conclusion! Watch the whole series: https://www.youtube.com/watch?v=j9DVftt9lm4&index=2&list=PLvoAL-KSZ32c9ilehJSvRo0sDMuqWN6cS Vote for Socrates Jones to win a DATA award in the "Student" category here if you like it:
From playlist Let's Play Socrates Jones
Noa Dagan - Can we improve fairness for subpopulations by utilizing medical data? Pt. 1/2
Recorded 14 July 2022. Noa Dagan of Harvard Medical School presents "Can we improve fairness for subpopulations by utilizing medical data?" at IPAM's Graduate Summer School on Algorithmic Fairness. Abstract: Medical data can be utilized to promote proactive, predictive, and personalized ca
From playlist 2022 Graduate Summer School on Algorithmic Fairness
Stanford Seminar: A Computational Approach to Criminal Justice
Sharad Goel Stanford University Statistical and algorithmic methods are increasingly used throughout the criminal justice system, from predictive policing to sentencing. I'll discuss two recent applications of this approach: (1) real-time risk assessments for stop-and-frisk and for bail d
From playlist Stanford Seminars
Sampling & Probability | Learning Statistics: Concepts and Applications in R | The Great Courses
Data is being recorded all around us literally all the time to predict the future. So why is the weather forecast wrong so often? It's because the fundamentals of statistics are uncertainty and variation. Point at a map and guess with the best of them or learn statistics in R. Presented b
From playlist Math and Statistics
ISPS DEMOCRACY SERIES: Rethinking Political Representation
A panel of innovators discuss new and important ideas for reforming democratic representation and improving our system of elections, including deliberative assemblies, representation lotteries, quota systems, and ranked choice voting. Featured panelists are Elisa Celis (Yale), Mark Gorton
From playlist The Institution for Social and Policy Studies (ISPS)
Earl Nightingale - STOP doing what POOR people DO
#earlnightingale #secret #motivation #motivational #motivationalvideo You may like this as well: https://youtu.be/jCiZTFlHgOI Earl Nightingale V (March 12, 1921 โ March 25, 1989) was an American radio speaker and author, dealing mostly with the subjects of human character development, mo
From playlist Calculus
CERIAS Security: Exploiting Opportunistic Scheduling in Cellular Data Networks 4/5
Clip 4/5 Speaker: Hao Chen ยท Assistant Professor ยท University of California, Davis Third Generation (3G) cellular networks utilize time-varying and location-dependent channel conditions to provide broadband services. They employ opportunistic scheduling to efficiently utilize spectrum un
From playlist The CERIAS Security Seminars 2008
Applying the rules of exponents to simplify an expression with numbers
๐ Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents