Analysis of algorithms | Randomized algorithms

Probabilistic analysis of algorithms

In analysis of algorithms, probabilistic analysis of algorithms is an approach to estimate the computational complexity of an algorithm or a computational problem. It starts from an assumption about a probabilistic distribution of the set of all possible inputs. This assumption is then used to design an efficient algorithm or to derive the complexity of a known algorithm.This approach is not the same as that of probabilistic algorithms, but the two may be combined. For non-probabilistic, more specifically deterministic, algorithms, the most common types of complexity estimates are the average-case complexity and the almost-always complexity. To obtain the average-case complexity, given an input distribution, the expected time of an algorithm is evaluated, whereas for the almost-always complexity estimate, it is evaluated that the algorithm admits a given complexity estimate that almost surely holds. In probabilistic analysis of probabilistic (randomized) algorithms, the distributions or average of all possible choices in randomized steps is also taken into account, in addition to the input distributions. (Wikipedia).

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Searching and Sorting Algorithms (part 4 of 4)

Introductory coverage of basic searching and sorting algorithms, as well as a rudimentary overview of Big-O algorithm analysis. Part of a larger series teaching programming at http://codeschool.org

From playlist Searching and Sorting Algorithms

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Function Comparision - 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

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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

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Niv Buchbinder: Deterministic Algorithms for Submodular Maximization Problems

Randomization is a fundamental tool used in many theoretical and practical areas of computer science. We study here the role of randomization in the area of submodular function maximization. In this area most algorithms are randomized, and in almost all cases the approximation ratios obtai

From playlist HIM Lectures 2015

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Find the Shortest Path - 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

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Probabilistic Numerics — moving BayesOpt expertise to the inner loop by Philipp Hennig

A Google TechTalk, presented by Philipp Hennig, 2022/02/08 ABSTRACT: BayesOpt Speaker Series. Bayesian Optimization experts are Gaussian process experts. And there is much more to do for Gaussian inference in the algorithmic space beyond outer-loop optimization. Using simulation — the solu

From playlist Google BayesOpt Speaker Series 2021-2022

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ML Tutorial: Probabilistic Numerical Methods (Jon Cockayne)

Machine Learning Tutorial at Imperial College London: Probabilistic Numerical Methods Jon Cockayne (University of Warwick) February 22, 2017

From playlist Machine Learning Tutorials

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Build a Heap - 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

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ML Tutorial: Probabilistic Dimensionality Reduction, Part 1/2 (Neil Lawrence)

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From playlist Machine Learning Tutorials

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Fellow Short Talks: Dr Charles Sutton, Edinburgh University

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From playlist Short Talks

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Nonlinear Independent Component Analysis - Aapo Hyvärinen

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From playlist Mathematics

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Semantic models for higher-order Bayesian inference - Sam Staton, University of Oxford

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From playlist Logic and learning workshop

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On The Complexity of Circuit Satisfiability - Ramamohan Paturi

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From playlist Mathematics

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Seminar on Applied Geometry and Algebra (SIAM SAGA): Sonja Petrović

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From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

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O'Reilly Webcast: Probabilistic Data Structures and Breaking Down Big Sequence Data

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From playlist Strata 2011

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Professor Mark Girolami: "Probabilistic Numerical Computation: A New Concept?"

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From playlist Turing Lectures

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Probabilistic logic programming and its applications - Luc De Raedt, Leuven

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From playlist Logic and learning workshop

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Martin Lotz: A blind spot in the probabilistic complexity analysis of algorithms

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

Related pages

Random self-reducibility | Average-case complexity | Almost surely | Deterministic algorithm | Amortized analysis | Best, worst and average case | Algorithm | Analysis of algorithms | Principle of deferred decision