In computer science, PPAD ("Polynomial Parity Arguments on Directed graphs") is a complexity class introduced by Christos Papadimitriou in 1994. PPAD is a subclass of TFNP based on functions that can be shown to be total by a parity argument. The class attracted significant attention in the field of algorithmic game theory because it contains the problem of computing a Nash equilibrium: this problem was shown to be complete for PPAD by Daskalakis, Goldberg and Papadimitriou with at least 3 players and later extended by Chen and Deng to 2 players. (Wikipedia).
Time Complexity Analysis | What Is Time Complexity? | Data Structures And Algorithms | Simplilearn
This video covers what is time complexity analysis in data structures and algorithms. This Time Complexity tutorial aims to help beginners to get a better understanding of time complexity analysis. Following topics covered in this video: 00:00 What is Time Complexity Analysis 04:21 How t
From playlist Data Structures & Algorithms
The Complexity of Gradient Descent: CLS = PPAD ∩ PLS - Alexandros Hollender
Computer Science/Discrete Mathematics Seminar I Topic: The Complexity of Gradient Descent: CLS = PPAD ∩ PLS Speaker: Alexandros Hollender Affiliation: University of Oxford Date: October 11, 2021 We consider the problem of computing a Gradient Descent solution of a continuously different
From playlist Mathematics
Lower Bound on Complexity - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Optional: Complexity - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Algorithms Explained: Computational Complexity
An overview of computational complexity including the basics of big O notation and common time complexities with examples of each. Understanding computational complexity is vital to understanding algorithms and why certain constructions or implementations are better than others. Even if y
From playlist Algorithms Explained
Time Complexity In Data Structure | Time Complexity Analysis - Data Structures Tutorial |Simplilearn
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From playlist Data Structures & Algorithms [2022 Updated]
MIT 6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs, Fall 2014 View the complete course: http://ocw.mit.edu/6-890F14 Instructor: Erik Demaine, Constantinos Daskalakis In the second of two guest lectures by Prof. Constantinos Daskalakis of CSAIL, Daskalakis talks about examples of
From playlist MIT 6.890 Algorithmic Lower Bounds, Fall 2014
Splitting Necklaces: Existence, Hardness and ApproximationNoga Alon
Computer Science/Discrete Mathematics Seminar I Topic: Splitting Necklaces: Existence, Hardness and Approximation Speaker: Noga Alon Affiliation: Princeton University Date: October 5, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
MIT 6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs, Fall 2014 View the complete course: http://ocw.mit.edu/6-890F14 Instructor: Erik Demaine, Constantinos Daskalakis In this first of two guest lectures by Prof. Constantinos Daskalakis of CSAIL, Daskalakis talks about the class P
From playlist MIT 6.890 Algorithmic Lower Bounds, Fall 2014
Tamás Király: Complexity of finding equilibria in linear service providing games
A fundamental problem in algorithmic game theory is to determine the hardness of computing equilibria in various classes of games. In this talk we consider an LP-based special case of the Generalized Nash Equilibrium Problem, where the interaction of players is limited to providing service
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
On the cryptographic hardness of finding a Nash equilibrium - Nir Bitansky
The computational complexity of finding Nash Equilibria in games has received much attention over the past two decades due to its theoretical and philosophical significance. This talk will be centered around the connection between this problem and cryptography. Mostly, I will discuss a res
From playlist Mathematics
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Saket Saurabh: Parametrized Algorithms and possible future directions
In this talk, we will give a short overview of current research directions pursued in Parameterized Complexity and then outline a few potential research directions for further investigations.
From playlist Workshop: Parametrized complexity and discrete optimization
The chaotic complexity of natural numbers | Data structures in Mathematics Math Foundations 175
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with bigger numbers starts to look quite different from the familiar arithmetic that we do with the small numbers we are used to. The notion of complexity is key in our treatment of this. We talk about bot
From playlist Math Foundations
11_4_1 The Derivative of the Composition of Functions
The composition of a multivariable function and a vector function and calculating its derivative.
From playlist Advanced Calculus / Multivariable Calculus
Results and open problems in theory of quantum complexity - Anindya De
Andris Ambainis University of Latvia; Member, School of Mathematics April 22, 2014 I will survey recent results and open problems in several areas of quantum complexity theory, with emphasis on open problems which can be phrased in terms of classical complexity theory or mathematics but ha
From playlist Mathematics
Kousha Etessami: The complexity of computing a quasi perfect equilibrium for n player extensive form
We study the complexity of computing/approximating several classic refinements of Nash equilibrium for n-player extensive form games of perfect recall EFGPR, including perfect, quasi-perfect, and sequential equilibrium. We show that, for all of these refinements, approximating one such equ
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
Efficient Verification of Computation on Untrusted Platforms - Yael Kalai
Computer Science/Discrete Mathematics Seminar I Topic: Efficient Verification of Computation on Untrusted Platforms Speaker: Yael Kalai Affiliation: Massachusetts Institute of Technology/Microsoft Date: February 13, 2023 Efficient verification of computation is fundamental to computer sc
From playlist Mathematics