Computational complexity of mathematical operations

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

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

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

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

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)

Determine a Time Complexity of Code Using Big-O Notation: O(1), O(n), O(n^2)

This video explains how to determine the time complexity of given code. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

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

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

11b Machine Learning: Computational Complexity

Short lecture on the concept of computational complexity.

From playlist Machine Learning

Anders Hansen: What is the Solvability Complexity Index SCI....

Anders Hansen: What is the Solvability Complexity Index (SCI) of your problem? - On the SCI Hierarchy and the foundations of computational mathematics Abstract: This talk addresses some of the fundamental barriers in the theory of computations. Many computational problems can be solved as

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Primes, Complexity and Computation: How Big Number theory resolves the Goldbach Conjecture

This lecture, which begins at 2:45, shows how Big Number theory, together with an understanding of prime numbers and their distribution resolves the Goldbach Conjecture, which states that every even number greater than two is the sum of two primes. Notions of complexity and computation,

From playlist MathSeminars

Professor Stéphane Mallat: "High-Dimensional Learning and Deep Neural Networks"

The Turing Lectures: Mathematics - Professor Stéphane Mallat: High-Dimensional Learning and Deep Neural Networks Click the below timestamps to navigate the video. 00:00:07 Welcome by Professor Andrew Blake, Director, The Alan Turing Institute 00:01:36 Introduction by Professo

From playlist Turing Lectures

Motivations, connections and scope of the workshop - Avi Wigderson

Optimization, Complexity and Invariant Theory Topic: Motivations, connections and scope of the workshop Speaker: Avi Wigderson Affiliation: Institute for Advanced Study Date: June 4, 2018 For more videos, please visit http://video.ias.edu

From playlist Optimization, Complexity and Invariant Theory

Panorama of Mathematics: Alfio Quarteroni

Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Alfio Quarteroni: "Reduced

From playlist Panorama of Mathematics

What We've Learned from NKS Chapter 2: The Crucial Experiment

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

Stanford Seminar - On the Origin of Experience: The Shaping of Sense and the Complex World

"On the Origin of Experience: The Shaping of Sense and the Complex World" -Steven Ericsson-Zenith Colloquium on Computer Systems Seminar Series (EE380) presents the current research in design, implementation, analysis, and use of computer systems. Topics range from integrated circuits to

From playlist Engineering

Gernot Akemann: Determinantal structure of eigenvector correlations in the complex Ginibre ensemble

We study the expectation of the matrix of overlaps of left and right eigenvectors in the complex Ginibre ensemble, conditioned on a fixed number of k complex eigenvalues. The diagonal (k=1) and off-diagonal overlap (k=2) were introduced by Chalker and Mehlig. They provided exact expression

From playlist Probability and Statistics

Quantum Computing: Untangling the Hype

Quantum technology has the potential to revolutionise whole fields of computing; from cryptography to molecular modelling. But how do quantum computers work? Subscribe for regular science videos: http://bit.ly/RiSubscRibe Join leading experts to untangle the quantum computing hype, at th

From playlist Computing/Tech/Engineering

Complexity and hyperoperations | Data Structures Math Foundations 174

We introduce the idea of the complexity of a natural number: a measure of how hard it is to actually write down an arithmetical expression that evaluates to that number. This notion does depend on a prior choice of arithmetical symbols that we decide upon, but the general features are surp

From playlist Math Foundations

Logic and Quantum Computing - Will Troiani

Will Troiani presents some of his research on the border of proof theory in logic, and quantum error correcting codes (QECCs). From the point of view of the Curry-Howard correspondence the essential content of a proof is a pattern of "equality" it sets up between occurrences of variables o

From playlist metauni festival 2023