In statistics, the earth mover's distance (EMD) is a measure of the distance between two probability distributions over a region D. In mathematics, this is known as the Wasserstein metric. Informally, if the distributions are interpreted as two different ways of piling up a certain amount of earth (dirt) over the region D, the EMD is the minimum cost of turning one pile into the other; where the cost is assumed to be the amount of dirt moved times the distance by which it is moved. The above definition is valid only if the two distributions have the same integral (informally, if the two piles have the same amount of dirt), as in normalized histograms or probability density functions. In that case, the EMD is equivalent to the 1st Mallows distance or 1st Wasserstein distance between the two distributions. (Wikipedia).
Teach Astronomy - Astronomical Units
http://www.teachastronomy.com/ The astronomical unit is defined as the mean distance between the Earth and the Sun. It has to be defined as the mean because the orbit is elliptical by a couple of percent. The astronomical unit is 150 million kilometers or 98 million miles. This sets the
From playlist 11. Interplanetary Bodies
01 Scientific Notation Conversions Worked Example
looking at the average distance from the earth to the moon
From playlist Exponents
How Far Is Earth From the Sun?
It's amazing to think that for the majority of human history, we had almost no understanding about the Sun. We didn't know what it was made of, how it formed, or how it produced energy. We didn't know how big it was, and we didn't know how far away it was. We orbit the Sun at a distan
From playlist The Solar System
What is the Distance to the Moon?
In this short explainer, Universe Today publisher Fraser Cain demonstrates just how far away the Moon really is, and explains the methods scientists use to discover its distance. Did you know the Moon is slowly drifting away from us? --------- The Moon is such a familiar object in the sk
From playlist Planets and Moons
Can You Determine The DISTANCE To The Lever Arm?!? #Mechanical #Engineering #Physics #Torque #NicholasGKK #Shorts
From playlist Mechanical Engineering
Astronomy - Ch. 9: Earth as a Planet (2 of 22) General Information
Visit http://ilectureonline.com for more math and science lectures! In this video I will discuss the general information of Earth like distance from Sun, aphelion, perihelion, eccentricity, orbital speed, orbital period, solar day, sidereal day, inclination, diameter,... Next video in th
From playlist ASTRONOMY 9 - EARTH AS A PLANET
You're there, and I'm here. And we're all on the Earth. But where is the Earth? In the Solar System, obviously, which is in the Milky Way, and so on. Think about your place in the cosmos, your exact spot in the Universe relative to everything else. It's time to get your bearings, and once
From playlist Planets and Moons
2.6: Gravitational Attraction - The Nature of Code
Chapter: 2 Official book website: http://natureofcode.com/ Twitter: https://twitter.com/shiffman This video covers attraction forces (modeled after gravity) between objects. Read along: http://natureofcode.com/book/chapter-2-forces/#chapter02_section9 Code: https://github.com/shiffman
From playlist The Nature of Code: Simulating Natural Systems
Cynthia Dwork - Affirmative action, Composition Pt. 1/2 - IPAM at UCLA
Recorded 12 July 2022. Cynthia Dwork of Harvard University SEAS presents "Affirmative action, Composition" at IPAM's Graduate Summer School on Algorithmic Fairness. Abstract: Are systems that are composed of pieces that are each fair necessarily fair in the aggregate? We will discuss compo
From playlist 2022 Graduate Summer School on Algorithmic Fairness
2.3: Simulating with Mass - The Nature of Code
Chapter: 2 Official book website: http://natureofcode.com/ Twitter: https://twitter.com/shiffman This video shows how to add mass to your object for a simulation with shapes of different sizes. read along: http://natureofcode.com/book/chapter-2-forces/#chapter02_section4 https://githu
From playlist The Nature of Code: Simulating Natural Systems
Physics - Relativity: Understanding Space, Time & Relativity (16 of 55) Time to Fly to the Sun
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how distance and amount of time needed to travel to the Sun change for observer B (on space ship) traveling closer and closer to the speed of light. Next video in this series can be seen at:
From playlist PHYSICS 62.1 UNDERSTANDING RELATIVITY & SPACE
A polynomial lower bound for monotonicity testing...- Rocco Servedio
Rocco Servedio Columbia University March 31, 2014 We prove a Ω̃ (n1/5)Ω~(n1/5) lower bound on the query complexity of any non-adaptive two-sided error algorithm for testing whether an unknown n-variable Boolean function is monotone versus constant-far from monotone. This gives an exponenti
From playlist Mathematics
Privacy via ill-posedness - Anna Gilbert
Computer Science/Discrete Mathematics Seminar I Topic: Privacy via ill-posedness Speaker: Anna Gilbert Affiliation: University of Michigan; Member, School of Mathematics Date: November 4, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Professor Gesine Reinert, University of Oxford
Prof. Gesine Reinert is a University Lecturer at the Department of Statistics, Oxford, and Fellow at Keble College, Oxford (2000 – present). Her current and main research interests are in network statistics and to investigate such networks in a statistically rigorous fashion. Often this w
From playlist Short Talks
Stefano Gualandi: "Discrete Optimal Transport by Parallel Network Simplex"
Deep Learning and Combinatorial Optimization 2021 "Discrete Optimal Transport by Parallel Network Simplex" Stefano Gualandi - Università di Pavia Abstract: We present recent results on the solution of problems related to the theory of Optimal Transport by using an efficient parallel impl
From playlist Deep Learning and Combinatorial Optimization 2021
The Greatest Construction Machinery of The 20th Century [4K] | The Greatest Ever | Spark
Fast paced head-spinning, and informative, Greatest Ever is a top ten count down of the marvels of modern technology. You may not agree, but you'll be grabbed and not let go as our picks are put through their paces in front of our cameras. -- Subscribe to Spark for more amazing science, te
From playlist 4K Science Documentaries
Kaggle Live-Coding: How similar are the meaning of job titles? | Kaggle
Join Kaggle Data Scientist Rachael as she trains custom word embeddings based on a list of job titles and then uses Word Mover's Distance to figure out how similar the meaning of different job titles are. The final version of this kernel is here: https://www.kaggle.com/rtatman/how-semant
From playlist Kaggle Live Coding | Kaggle
Shi-Bing Chen (7/28/22): The optimal partial transport problem
Abstract: In the optimal partial transport problem we are asked to find the most economical way to transport a portion of mass of the source domain to the target domain. It was proved by Caffarelli and McCann that there is a $C^{1,\alpha}$ hypersurface, called free boundary, separating the
From playlist Applied Geometry for Data Sciences 2022
NASA's New Horizons spacecraft is about to complete its nearly 10 year journey from Earth to Pluto next week. Just how far is that? Science took a look at the issue.
From playlist Just for Fun