Randomized algorithms

Monte Carlo algorithm

In computing, a Monte Carlo algorithm is a randomized algorithm whose output may be incorrect with a certain (typically small) probability. Two examples of such algorithms are Karger–Stein algorithm and Monte Carlo algorithm for minimum Feedback arc set. The name refers to the grand casino in the Principality of Monaco at Monte Carlo, which is well-known around the world as an icon of gambling. The term "Monte Carlo" was first introduced in 1947 by Nicholas Metropolis. Las Vegas algorithms are a dual of Monte Carlo algorithms that never return an incorrect answer. However, they may make random choices as part of their work. As a result, the time taken might vary between runs, even with the same input. If there is a procedure for verifying whether the answer given by a Monte Carlo algorithm is correct, and the probability of a correct answer is bounded above zero, then with probability, one running the algorithm repeatedly while testing the answers will eventually give a correct answer. Whether this process is a Las Vegas algorithm depends on whether halting with probability one is considered to satisfy the definition. (Wikipedia).

Video thumbnail

What is the Monte Carlo method? | Monte Carlo Simulation in Finance | Pricing Options

In today's video we learn all about the Monte Carlo Method in Finance. These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/ Follow Patrick on twitter h

From playlist Exotic Options & Structured Products

Video thumbnail

Monte Carlo Integration In Python For Noobs

Monte Carlo is probably one of the more straightforward methods of numerical Integration. It's not optimal if working with single-variable functions, but nonetheless is easy to use, and readily generalizes to multi-variable functions. In this video I motivate the method, then solve a one-d

From playlist Daily Uploads

Video thumbnail

An introduction to multilevel Monte Carlo methods – Michael Giles – ICM2018

Numerical Analysis and Scientific Computing Invited Lecture 15.7 An introduction to multilevel Monte Carlo methods Michael Giles Abstract: In recent years there has been very substantial growth in stochastic modelling in many application areas, and this has led to much greater use of Mon

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

Monte Carlo Simulation For Any Model in Excel - A Step-by-Step Guide

Read more on Monte Carlo Simulations and download a sample model here: https://magnimetrics.com/monte-carlo-simulation-in-financial-modeling/ If you like this video, drop a comment, give it a thumbs up and consider subscribing here: https://www.youtube.com/channel/UCrdjXR70BwWIX--ZtQB42XQ

From playlist Excel Tutorials

Video thumbnail

Monte Carlo Simulation and Python

Monte Carlo Simulation with Python Playlist: http://www.youtube.com/watch?v=9M_KPXwnrlE&feature=share&list=PLQVvvaa0QuDdhOnp-FnVStDsALpYk2hk0 Here we bring at least the initial batch of tutorials to a close with the 3D plotting of our variables in search for preferable settings to use.

From playlist Monte Carlo Simulation with Python

Video thumbnail

Statistics: Ch 4 Probability and Statistics (71 of 74) Monte Carlo Simulation: Ex. 4

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will use the Monte Carlo simulation to find the number of times it would take to find the correct key to unlock a door. Given: 4 k

From playlist STATISTICS CH 4 STATISTICS IN PROBABILITY

Video thumbnail

AQC 2016 - Adiabatic Quantum Computer vs. Diffusion Monte Carlo

A Google TechTalk, June 29, 2016, presented by Stephen Jordan (NIST) ABSTRACT: While adiabatic quantum computation using general Hamiltonians has been proven to be universal for quantum computation, the vast majority of research so far, both experimental and theoretical, focuses on stoquas

From playlist Adiabatic Quantum Computing Conference 2016

Video thumbnail

Stochastic Approximation-based algorithms, when the Monte (...) - Fort - Workshop 2 - CEB T1 2019

Gersende Fort (CNRS, Univ. Toulouse) / 13.03.2019 Stochastic Approximation-based algorithms, when the Monte Carlo bias does not vanish. Stochastic Approximation algorithms, whose stochastic gradient descent methods with decreasing stepsize are an example, are iterative methods to comput

From playlist 2019 - T1 - The Mathematics of Imaging

Video thumbnail

DeepMind x UCL RL Lecture Series - Model-free Prediction [5/13]

Research Scientist Hado van Hasselt takes a closer look at model-free prediction and its relation to Monte Carlo and temporal difference algorithms. Slides: https://dpmd.ai/modelfreeprediction Full video lecture series: https://dpmd.ai/DeepMindxUCL21

From playlist Learning resources

Video thumbnail

The Evolution of AlphaGo to MuZero

This video covers the developments progression from AlphaGo to AlphaGo Zero to AlphaZero, and the latest algorithm, MuZero. These algorithms from the DeepMind team have gone from superhuman Go performance up to 57 different Atari games. Hopefully this video helps explain how these are rela

From playlist Game Playing AI: From AlphaGo to MuZero

Video thumbnail

Statistics: Ch 4 Probability and Statistics (68 of 74) Monte Carlo Simulation: Example 1

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will use the Monte Carlo simulation to find the most likely duration (in months) it take to complete 5 projects by assigning the l

From playlist STATISTICS CH 4 STATISTICS IN PROBABILITY

Video thumbnail

Monte Carlo Geometry Processing

Project Page: http://www.cs.cmu.edu/~kmcrane/Projects/MonteCarloGeometryProcessing/index.html

From playlist Research

Video thumbnail

AlphaGo Zero

This video explains AlphaGo Zero! AlphaGo Zero uses less prior information about Go than AlphaGo. Whereas AlphaGo is initialized by supervised learning on human experts mappings from state to action; AlphaGo Zero is trained from scratch through self-play. AlphaGo Zero achieves this by comb

From playlist Game Playing AI: From AlphaGo to MuZero

Video thumbnail

Statistical Rethinking 2022 Lecture 08 - Markov chain Monte Carlo

Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Music: Intro: https://www.youtube.com/watch?v=E06X1NXRdR4 Skate1 vid: https://www.youtube.com/watch?v=GCr0EO41t8g Skate1 music: https://www.youtube.com/watch?v=o3WvAhOAoCg Skate2 vid: https://www.youtube

From playlist Statistical Rethinking 2022

Video thumbnail

MuZero

The video explains MuZero! MuZero makes AlphaZero more general by constructing representation and dynamics models such that it can play games without a perfect model of the environment. This dynamics function is unique because of the way it's hidden state is tied into the policy and value

From playlist Game Playing AI: From AlphaGo to MuZero

Video thumbnail

SLT Supplemental - Seminar 2 - Markov Chain Monte Carlo

This series provides supplemental mathematical background material for the seminar on Singular Learning Theory. In this seminar Liam Carroll introduces us to Markov Chain Monte Carlo, a method for sampling from the Bayesian posterior. The webpage for this seminar is http://metauni.org/pos

From playlist Metauni

Video thumbnail

Monte Carlo Simulation and Python 1 - Intro

Monte Carlo Simulation with Python Playlist: http://www.youtube.com/watch?v=9M_KPXwnrlE&feature=share&list=PLQVvvaa0QuDdhOnp-FnVStDsALpYk2hk0 In the monte carlo simulation with Python series, we test various betting strategies. A simple 50/50 strategy, a martingale strategy, and the d'ale

From playlist Monte Carlo Simulation with Python

Related pages

Schreier–Sims algorithm | Monte Carlo method | Randomized algorithm | Deterministic algorithm | Decision problem | RP (complexity) | Probability | Las Vegas algorithm | Miller–Rabin primality test | PP (complexity) | ZPP (complexity) | Karger's algorithm | Majority function | Baillie–PSW primality test | Computational statistics | Prime number | Atlantic City algorithm | Computational group theory | Complexity class | Solovay–Strassen primality test