Derandomization and its connections throughout complexity theory - Roei Tell
Computer Science/Discrete Mathematics Seminar II Topic: Derandomization and its connections throughout complexity theory Speaker: Roei Tell Affiliation: Member, School of Mathematics Date: February 15, 2022 This is the first talk in a three-part series presented together with Lijie Ch
From playlist Mathematics
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Learn to rationalize the denominator with a monomial as the denominator ex 6
👉 Learn how to rationalize the denominator. Rationalization is the simplification of a rational expression by multiplying the denominator and the numerator of the expression by the conjugate of the denominator. The conjugate of an expression of two terms is obtained by changing the sign be
From playlist Rationalize the Denominator with Fractional Exponent
What is an enlargement dilation
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Learn how to rationalize the denominator with a rational exponent
👉 Learn how to rationalize the denominator. Rationalization is the simplification of a rational expression by multiplying the denominator and the numerator of the expression by the conjugate of the denominator. The conjugate of an expression of two terms is obtained by changing the sign be
From playlist Rationalize the Denominator with Fractional Exponent
Derandomization and its connections throughout complexity theory - Liije Chen
Computer Science/Discrete Mathematics Seminar II Topic: Derandomization and its connections throughout complexity theory Speaker: Liije Chen Affiliation: Massachusetts Institute of Technology Date: February 22, 2022 This is the second talk in a three-part series presented together with R
From playlist Mathematics
Derandomizing BPL? - Avi Wigderson
Avi Wigderson School of Mathematics, Institute for Advanced Study February 26, 2013 I will survey some of the basic approaches to derandomizing Probabilistic Logspace computations, including the "classical" Nisan, Impagliazzo-Nisan-Widgerson and Reingold-Raz generators, the Saks-Zhou algor
From playlist Mathematics
PCPs of Sub-Constant Error Via Derandomized Direct Product - Or Meir
PCPs of Sub-Constant Error Via Derandomized Direct Product - Or Meir The Weizmann Institute of Science October 19, 2009 A PCP is a proof system in which the proofs that can be verified by a verifier that reads only a very small part of the proof. One line of research concerning PCPs is tr
From playlist Mathematics
In this video, I define what it means to rearrange (or reshuffle) a series and show that if a series converges absolutely, then any rearrangement of the series converges to the same limit. Interesting Consequence: https://youtu.be/Mw7ocynGVmw Series Playlist: https://www.youtube.com/play
From playlist Series
Superfast Derandomization of Interactive Proof Systems - Roei Tell
Computer Science/Discrete Mathematics Seminar II Topic: Superfast Derandomization of Interactive Proof Systems Speaker: Roei Tell Affiliation: Member, School of Mathematics Date: October 11, 2022Â [First half of talk is missing due to technical issues] The lifeblood of interactive proof
From playlist Mathematics
Niv Buchbinder: Deterministic Algorithms for Submodular Maximization Problems
Randomization is a fundamental tool used in many theoretical and practical areas of computer science. We study here the role of randomization in the area of submodular function maximization. In this area most algorithms are randomized, and in almost all cases the approximation ratios obtai
From playlist HIM Lectures 2015
Derandomization of Probabilistic Logspace (The Nisan Variations) - Avi Wigderson
Avi Wigderson chool of Mathematics, Institute for Advanced Study March 5, 2013 I will continue the exposition of different derandmization techniques for probabilistic logspace algorithms. The material of this talk will assume only little knowledge from the first talk. For more videos, vi
From playlist Mathematics
Invariance Principles in Theoretical Computer Science - ODonnell
Carnegie Mellon University; Institute for Advanced Study September 21, 2010 In this talk I will insult your intelligence by showing a non-original proof of the Central Limit Theorem, with not-particularly-good error bounds. However, the proof is very simple and flexible, allowing generaliz
From playlist Mathematics
Fourier Spectrum of Polynomials Over Finite Fields - Shachar Lovett
Shachar Lovett Institute for Advanced Study November 2, 2010 Let f(x1,...,xn)f(x1,...,xn) be a low degree polynomial over FpFp. I will prove that there always exists a small set SS of variables, such that `most` Fourier coefficients of ff contain some variable from the set SS. As an applic
From playlist Mathematics
What are dilations, similarity and scale factors
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Chernoff bounds for expander walks - Christopher Beck
Christopher Beck Member, School of Mathematics March 10, 2015 Expander walk sampling is an important tool for derandomization. For any bounded function, sampling inputs from a random walk on an expander graph yields a sample average which is quite close to the true mean, and moreover the d
From playlist Computer Science/Discrete Mathematics