Clustering is the process of grouping a set of data given a certain criterion. In this way it is possible to define subgroups of data, called clusters, that share common characteristics. Determining the internal structure of the data is important in exploratory data analysis, but is also u
From playlist “How To” with MATLAB and Simulink
Sayan Das (Columbia) -- Law of Iterated Logarithms for the KPZ equation.
We consider the narrow wedge solution to the KPZ equation. It is well known that the one-point distribution of the KPZ equation, when centered by time/24 and scaled by time^(1/3), converges in distribution to Tracy Widom GUE distribution. Consequently, a natural thing is to ask how limsup
From playlist Northeastern Probability Seminar 2020
Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture III
The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Arthur Bartels: K-theory of group rings (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Arthur Bartels: K-theory of group rings The Farrell-Jones Conjecture predicts that the K-theory of group rings RG can be computed in terms of K-theory of group rings RV where V vari
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Milton Jara : The weak KPZ universality conjecture - 1
Abstract: The aim of this series of lectures is to explain what the weak KPZ universality conjecture is, and to present a proof of it in the stationary case. Lecture 1: The KPZ equation, the KPZ universality class and the weak and strong KPZ universality conjectures. Lecture 2: The marting
From playlist Mathematical Physics
Berry's Paradox - An Algorithm For Truth
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From playlist Math
Why it took 379 pages to prove 1+1=2
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From playlist Math
Why the number 0 was banned for 1500 years
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From playlist Math
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
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From playlist Space Time!
Why Quantum Computing Requires Quantum Cryptography
Learn more about Audible at: https://www.audible.com/spacetime or text spacetime to 500 500! PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE Quantum computing is cool, but you know what would be extra awesome - a quantum i
From playlist Space Time!
The Edge of an Infinite Universe
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Have you ever asked “what is beyond the edge of the universe?” And have you ever been told that an infinite universe that has no edge? You were told wrong.
From playlist What Fraser's watching
The Impossible Power of This Simple Math Proof
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From playlist Math
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From playlist Futurism and Space Exploration
Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture II
The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Yuansi Chen: Recent progress on the KLS conjecture
Kannan, Lovász and Simonovits (KLS) conjectured in 1995 that the Cheeger isoperimetric coefficient of any log-concave density is achieved by half-spaces up to a universal constant factor. This conjecture also implies other important conjectures such as Bourgain’s slicing conjecture (1986)
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
The Secret Link Between Thousands of Unsolved Math Problems
Get Nebula using my link for 40% off an annual subscription: https://go.nebula.tv/upandatom Watch my exclusive video on the SAT to clique reduction: https://nebula.tv/videos/upandatom-sat-to-clique-reduction-bonus-video-from-npcompleteness Hi! I'm Jade. If you'd like to consider supportin
From playlist Math
Clustering (3): K-Means Clustering
The K-Means clustering algorithm. Includes derivation as coordinate descent on a squared error cost function, some initialization techniques, and using a complexity penalty to determine the number of clusters.
From playlist cs273a
Mystery of the Pooping Sloth - Science on the Web #55
Why do sloths climb down to poop? Robert and Julie discuss the theories... Subscribe | http://bit.ly/stbym-sub Homepage | http://bit.ly/stbym-hsw-home Listen to us | http://bit.ly/stbym-itunes Like us | http://bit.ly/stbym-fb Follow us | http://bit.ly/stbym-twitter VIDEOS REFERENCED: Th
From playlist Animals!