Approximation algorithms | Relaxation (approximation) | Computational complexity theory

Hardness of approximation

In computer science, hardness of approximation is a field that studies the algorithmic complexity of finding near-optimal solutions to optimization problems. (Wikipedia).

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Polynomial approximations -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Approximating Functions in a Metric Space

Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati

From playlist Approximation Theory

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Convex Norms and Unique Best Approximations

In this video, we explore what it means for a norm to be convex. In particular we will look at how convex norms lead to unique best approximations. For example, for any continuous function there will be a unique polynomial which gives the best approximation over a given interval. Chapte

From playlist Approximation Theory

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Error bounds for Taylor approximations -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Polynomial approximation of functions (part 1)

Using a polynomial to approximate a function at f(0). More free lessons at: http://www.khanacademy.org/video?v=sy132cgqaiU

From playlist Calculus

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Minimax Approximation and the Exchange Algorithm

In this video we'll discuss minimax approximation. This is a method of approximating functions by minimisation of the infinity (uniform) norm. The exchange algorithm is an iterative method of finding the approximation which minimises the infinity norm. FAQ : How do you make these animatio

From playlist Approximation Theory

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Ch1Pr7: Total Differential Approximation

Approximate a differentiable function using the Total Differential Approximation! This is Chapter 1 Problem 7 from the MATH1231/1241 Calculus notes. Presented by Norman Wildberger from the UNSW School of Mathematics and Statisitcs.

From playlist Mathematics 1B (Calculus)

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Accuracy of Taylor approximations - Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Karthik C. S.: Recent Hardness of Approximation results in Parameterized Complexity

In this talk, we survey some recent hardness of approximation results in parameterized complexity such as the inapproximability of the k-clique problem, provide some technical insights, and also highlight some open problems.

From playlist Workshop: Parametrized complexity and discrete optimization

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A nearly optimal lower bound on the approximate degree of AC00- Mark Bun

Computer Science/Discrete Mathematics Seminar I Topic: A nearly optimal lower bound on the approximate degree of AC00 Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker: Mark Bun Affiliation: Princeton University Date: October 23, 2017 For more videos, pleas

From playlist Mathematics

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Chaitanya Swamy: Signaling in Bayesian Games

We study the optimization problem faced by an informed principal in a Bayesian game, who can reveal some information about the underlying random state of nature to the players (thereby influencing their payoffs) so as to obtain a desirable equilibrium. This yields the following signaling p

From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"

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On the Approximation Resistance of Balanced Linear Threshold Functions - Aaron Potechin

Computer Science/Discrete Mathematics Seminar I Topic: On the Approximation Resistance of Balanced Linear Threshold Functions Speaker: Aaron Potechin Affiliation: University of Chicago Date: March 25, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Small-set expansion in Grassman graph and the 2-to-2 Games Theorem (Lecture 1) by Prahladh Harsha

Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa

From playlist Workshop on Algebraic Complexity Theory 2019

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Relative Error Tensor Low Rank Approximation by David Woodruff

Statistical Physics Methods in Machine Learning DATE:26 December 2017 to 30 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The theme of this Discussion Meeting is the analysis of distributed/networked algorithms in machine learning and theoretical computer science in the "th

From playlist Statistical Physics Methods in Machine Learning

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A Framework for Quadratic Form Maximization over Convex Sets -Vijay Bhattiprolu

Computer Science/Discrete Mathematics Seminar II Topic: A Framework for Quadratic Form Maximization over Convex Sets Speaker: Vijay Bhattiprolu Affiliation: Member, School of Mathematics Date: April 28, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization - Lijie Chen

Computer Science/Discrete Mathematics Seminar I Topic: Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization Speaker: Lijie Chen Affiliation: Massachusetts Institute of Technology Date: February 24, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Hardness of Randomized Truthful Mechanisms for Combinatorial Auctions - Jan Vondrak

Jan Vondrak IBM Almaden March 26, 2012 The problem of combinatorial auctions is one of the basic questions in algorithmic mechanism design: how can we allocate/sell m items to n agents with private valuations of different combinations of items, so that the agents are motivated to reveal th

From playlist Mathematics

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Polynomial approximation of functions (part 2)

Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series) More free lessons at: http://www.khanacademy.org/video?v=3JG3qn7-Sac

From playlist Calculus

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Abhishek Rathod (7/27/70): Hardness results in discrete Morse theory for 2-complexes

Title: Hardness results in discrete Morse theory for 2-complexes Abstract: In this talk, we will discuss the problem of minimizing the number of critical simplices (Min-Morse Matching) from the point of view of inapproximability and parameterized complexity. Letting n denote the size of a

From playlist ATMCS/AATRN 2020

Related pages

Approximation algorithm | Computational complexity theory | Unique games conjecture | Optimization problem | PCP theorem