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
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
11b Machine Learning: Computational Complexity
Short lecture on the concept of computational complexity.
From playlist Machine Learning
Understanding quantum algorithms via query complexity – Andris Ambainis – ICM2018
Mathematical Aspects of Computer Science Invited Lecture 14.2 Understanding quantum algorithms via query complexity Andris Ambainis Abstract: Query complexity is a model of computation in which we have to compute a function f(x_1, …, x_N) of variables x_i which can be accessed via querie
From playlist Mathematical Aspects of Computer Science
Compare Algorithm Complexity Given The Execution Time as a Function
This video explains how to use a limit at infinity to compare the complexity (growth rate) of two functions. http://mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
A Theory of Cryptographic Complexity - Manoj M. Prabhakaran
Manoj M. Prabhakaran University of Illinois at Urbana-Champaign March 1, 2010 In this talk, I shall describe an ongoing project to develop a complexity theory for cryptographic (multi-party computations. Different kinds of cryptographic computations involve different constraints on how in
From playlist Mathematics
Depth complexity and communication games - Or Meir
Or Meir Institute for Advanced Study; Member, School of Mathematics September 30, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Big O Notation: A Few Examples
This video is about Big O Notation: A Few Examples Time complexity is commonly estimated by counting the number of elementary operations (elementary operation = an operation that takes a fixed amount of time to preform) performed in the algorithm. Time complexity is classified by the nat
From playlist Computer Science and Software Engineering Theory with Briana
Computational Complexity - CS50 Shorts
From playlist CS50 Shorts
Ximena Fernández 7/20/22: Morse theory for group presentations and the persistent fundamental group
Discrete Morse theory is a combinatorial tool to simplify the structure of a given (regular) CW-complex up to homotopy equivalence, in terms of the critical cells of discrete Morse functions. In this talk, I will present a refinement of this theory that guarantees not only a homotopy equiv
From playlist AATRN 2022
Algorithms for the topology of arithmetic groups and Hecke actions II - Michael Lipnowski
Joint IAS/Princeton University Number Theory Seminar Topic: Algorithms for the topology of arithmetic groups and Hecke actions II Speaker: Michael Lipnowski Affiliation: Member, School of Mathematics Date: April 24, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Complexity from Simplicity? | Episode 909 | Closer To Truth
Our universe began with a swirling, seething plasma-everything, everywhere, all the same. Today we have galaxies, stars, planets, people. How did such structure come about? Featuring interviews with Stephen Wolfram, Seth Lloyd, Lee Smolin, Francis Collins, and Frank Wilczek. Season 9, Epi
From playlist Closer To Truth | Season 9
Computational complexity of solving polynomial differential equations over unbounded domains
From playlist Symbolic-Numeric Computing Seminar
Lec 18 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 18: Computation of the discrete Fourier transform, part 1 Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES.6-008 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Debabrota Basu (6/17/20): Epsilon-net induced lazy witness complex for topological data analysis
Title: Epsilon-net induced lazy witness complex for efficient topological data analysis Abstract: Inefficient scalability of persistent homology computation on simplicial representations restrains practical application of TDA. The lazy witness complex economically defines an approximate r
From playlist AATRN 2020
Álvaro Torras Casas (8/5/20): The Persistence Mayer-Vietoris spectral sequence
Title: The Persistence Mayer Vietoris spectral sequence Abstract: In this talk, I will give a brief introduction to the persistent Mayer-Vietoris spectral sequence. The original motivation for studying this object comes from the need to parallelize persistent homology computations. The st
From playlist AATRN 2020
Computing Homology Cycles with Certified Geometry - Tamal Dey
Computing Homology Cycles with Certified Geometry Tamal Dey Ohio State University March 7, 2012
From playlist Members Seminar
Dmitry Feichtner-Kozlov: Topology of complexes arising in models for Distributed Computing #1
The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology We shall talk about various simplicial models for distributed computing. The main model consists of iterated chromatic subdivisions and corresponds to the well-used
From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"
Algorithms Explained: Memory Complexity
An overview of memory (space) complexity including the basics of big O notation and common space complexities with examples of each. Understanding memory complexity is vital to understanding algorithms and why certain constructions or implementations are better than others. Even if you do
From playlist Algorithms Explained