Probabilistic complexity classes
In computational complexity theory, a branch of computer science, bounded-error probabilistic polynomial time (BPP) is the class of decision problems solvable by a probabilistic Turing machine in polynomial time with an error probability bounded by 1/3 for all instances.BPP is one of the largest practical classes of problems, meaning most problems of interest in BPP have efficient probabilistic algorithms that can be run quickly on real modern machines. BPP also contains P, the class of problems solvable in polynomial time with a deterministic machine, since a deterministic machine is a special case of a probabilistic machine. Informally, a problem is in BPP if there is an algorithm for it that has the following properties: * It is allowed to flip coins and make random decisions * It is guaranteed to run in polynomial time * On any given run of the algorithm, it has a probability of at most 1/3 of giving the wrong answer, whether the answer is YES or NO. (Wikipedia).
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
Introduction to Linear Equations (TTP Video 5)
https://www.patreon.com/ProfessorLeonard An explanation of the basic properties of Linear Equations.
From playlist To The Point Math (TTP Videos)
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
23. Probabilistic Computation, BPP
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Defined probabilistic Turing machines
From playlist MIT 18.404J Theory of Computation, Fall 2020
PMSP - Computational pseudo-randomness and extractors II - Russell Impagliazzo
Russell Impagliazzo Institute for Advanced Study June 14, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
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
24. Probabilistic Computation (cont.)
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Simulated read-once branching programs
From playlist MIT 18.404J Theory of Computation, Fall 2020
Time Complexity In Data Structure | Time Complexity Analysis - Data Structures Tutorial |Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=TimeComplexityInDataStructure-WI64Fyky6m4&utm_medium=DescriptionFF&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.
From playlist Data Structures & Algorithms [2022 Updated]
Upper Bounds in Integer Complexity-CTNT 2020
Define ||n|| to be the complexity of n, which is the smallest number of 1s needed to write n using an arbitrary combination of addition and multiplication. For example, 6=(1+1)(1+1+1) shows that ||6|| is at most 5. We discuss recent results concerning upper and lower bounds for ||n||
From playlist CTNT 2020 - Conference Videos
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
P vs. NP and the Computational Complexity Zoo
Hackerdashery #2 Inspired by the Complexity Zoo wiki: https://complexityzoo.uwaterloo.ca/Complexity_Zoo For more advanced reading, I highly recommend Scott Aaronson's blog, Shtetl-Optimized: http://www.scottaaronson.com/blog/ ----- Retro-fabulous, cabinet-sized computers: System/360:
From playlist Interesting Videos
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
Randomness in Algorithms: Understanding It, Eliminating It
Short Talks by Postdoctoral Members Topic: Randomness in Algorithms: Understanding It, Eliminating It Speaker: Roei Tell Affiliation: Member, School of Mathematics September 30, 2022
From playlist Short Talks by Postdoctoral Members
New Pseudo-deterministic Algorithms - Shafi Goldwasser
A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu
From playlist Mathematics
Relativized Separations of Worst-Case and Average-Case Complexities for NP - Russell Impagliazzo
Russell Impagliazzo University of California, San Diego; Member, School of Mathematics March 8, 2011 Non-relativization of complexity issues can be interpreted as giving evidence that these issues cannot be resolved by “black-box” techniques. We show that the assumption DistNP⊆AvgPDistNP
From playlist Mathematics
What Is An Algorithm ? | Introduction to Algorithms | How To Write An Algorithm? | Simplilearn
This video is based on What Is An Algorithm ? The Introduction to Algorithms tutorial will explain to you How To Write An Algorithm? and it will cover the following topics âś…00:00- Introduction to Algorithms âś…01:46- What Is an Algorithm? The algorithm is a step-by-step procedure or set o
From playlist C++ Tutorial Videos
Non-Black-Box Derandomization - Roei Tell
Computer Science/Discrete Mathematics Seminar II Topic: Non-Black-Box Derandomization Speaker: Roei Tell Affiliation: Member, School of Mathematics Date: March 01, 2022 This is the third and final talk in the joint series with Lijie Chen. The talk will NOT rely on the technical contents
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
Chapter 4 - Formula Substitution and Rearrangement with KSP - IB Math Studies (Math SL)
Hello and welcome to What The Math. This is a Chapter 4 video about formula substitution and rearrangement and also solving various physics like problems. This is a part of Chapter 4 from Harris Publication version of IB math book by Haese.
From playlist IB Math Studies Chapter 4
25. Interactive Proof Systems, IP
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Introduced the interactive proof syste
From playlist MIT 18.404J Theory of Computation, Fall 2020