Theoretical computer science | Pseudorandomness

Small-bias sample space

In theoretical computer science, a small-bias sample space (also known as -biased sample space, -biased generator, or small-bias probability space) is a probability distribution that fools parity functions.In other words, no parity function can distinguish between a small-bias sample space and the uniform distribution with high probability, and hence, small-bias sample spaces naturally give rise to pseudorandom generators for parity functions. The main useful property of small-bias sample spaces is that they need far fewer truly random bits than the uniform distribution to fool parities. Efficient constructions of small-bias sample spaces have found many applications in computer science, some of which are derandomization, error-correcting codes, and probabilistically checkable proofs.The connection with error-correcting codes is in fact very strong since -biased sample spaces are equivalent to -balanced error-correcting codes. (Wikipedia).

Video thumbnail

Probability & Statistics (3 of 62) Definition of Sample Spaces & Factorials

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what are sample spaces and factorials. Next video in series: http://youtu.be/EOk25Tb-1bM

From playlist Michel van Biezen: PROBABILITY & STATISTICS 1 BASICS

Video thumbnail

Surveys & questionnaires (2)

Powered by https://www.numerise.com/ Surveys & questionnaires (2)

From playlist Collecting data

Video thumbnail

Sampling (2 of 5: Introduction to Random Samples and Spreadsheets)

More resources available at www.misterwootube.com

From playlist Data Analysis

Video thumbnail

Hypothesis Test: Two Population Proportions

This video explains how to conduct a hypothesis test on two population proportions. http://mathispower4u.com

From playlist Hypothesis Test with Two Samples

Video thumbnail

How to calculate Samples Size Proportions

Introduction on how to calculate samples sizes from proportions. Describes the relationship of sample size and proportion. Like us on: http://www.facebook.com/PartyMoreStudyLess

From playlist Sample Size

Video thumbnail

Sampling Techniques & Cautions (Full Length)

I define and discuss the differences of observational studies and experiments. I then discuss the difference between a sample and a census. I introduce two types of sampling techniques that yield biased results...Voluntary Response and Convenience Sampling. I discuss Stratified Random S

From playlist AP Statistics

Video thumbnail

Introduction to Sampling & Populations (1 of 4: Graphing the sample means)

More resources available at www.misterwootube.com

From playlist Data Analysis

Video thumbnail

Statistics: Sources of Bias

This lesson reviews sources of bias when conducting a survey or poll. Site: http://mathispower4u.com

From playlist Introduction to Statistics

Video thumbnail

Emulating Non-Linear Clustering - Jeremy Tinker

Jeremy Tinker - September 25, 2015 http://sns.ias.edu/~baldauf/Bias/index.html The interpretation of low-redshift galaxy surveys is more complicated than the interpretation of CMB temperature anisotropies. First, the matter distribution evolves nonlinearly at low redshift, limiting the u

From playlist Unbiased Cosmology from Biased Tracers

Video thumbnail

A Parallel Repetition Theorem for the GHZ Game - Justin Holmgren

Computer Science/Discrete Mathematics Seminar I Topic: A Parallel Repetition Theorem for the GHZ Game Speaker: Justin Holmgren Affiliation: Massachusetts Institute of Technology Date: October 19, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Research Talk: Mutation Bias and Rates by Deepa Agashe

DISCUSSION MEETING SECOND PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION ORGANIZERS Deepa Agashe (NCBS-TIFR, India) and Kavita Jain (JNCASR, India) DATE: 20 February 2023 to 24 February 2023 VENUE Madhava Lecture Hall, ICTS Bengaluru We plan an intensive 1-week preparatory school

From playlist SECOND PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION

Video thumbnail

Lecture 9 - Approx/Estimation Error & ERM | Stanford CS229: Machine Learning (Autumn 2018)

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3ptwgyN Anand Avati PhD Candidate and CS229 Head TA To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-autumn2018.h

From playlist Stanford CS229: Machine Learning Full Course taught by Andrew Ng | Autumn 2018

Video thumbnail

Asymptotic efficiency in high-dimensional covariance estimation – V. Koltchinskii – ICM2018

Probability and Statistics Invited Lecture 12.18 Asymptotic efficiency in high-dimensional covariance estimation Vladimir Koltchinskii Abstract: We discuss recent results on asymptotically efficient estimation of smooth functionals of covariance operator Σ of a mean zero Gaussian random

From playlist Probability and Statistics

Video thumbnail

Lecture 08 - Bias-Variance Tradeoff

Bias-Variance Tradeoff - Breaking down the learning performance into competing quantities. The learning curves. Lecture 8 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://itunes.apple.com/us/course/ma

From playlist Machine Learning Course - CS 156

Video thumbnail

Stanford CS229: Machine Learning | Summer 2019 | Lecture 13-Statistical Learning Uniform Convergence

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3py8nGr Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

Video thumbnail

Nexus Trimester - Krzysztof Onak (IBM T. J. Watson)

Communication Complexity of Learning Discrete Distributions Krzysztof Onak (IBM T. J. Watson) March 08, 2016 Abstract: The bounds on the sample complexity of most fundamental learning and testing problems for discrete distributions are well understood. We consider the scenario in which s

From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester

Video thumbnail

Stanford CS229: Machine Learning | Summer 2019 | Lecture 12 - Bias and Variance & Regularization

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3notMzh Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

Video thumbnail

05 Spatial Data Analytics: Declustering

Walkthrough of a spatial data declustering (geostatistics) workflow in Python / Jupyter Notebook Slides with the GeostatsPy Python Package to correct for spatial sampling bias.

From playlist Spatial Data Analytics and Modeling

Video thumbnail

Sample Bias Types

Sample bias: Response, Voluntary Response, Non-Response, Undercoverage, and Wording of Questions

From playlist Unit 4: Sampling and Experimental Design

Related pages

Hamming weight | Wozencraft ensemble | Expander walk sampling | Generator matrix | Justesen code | Block code | Derandomization | Marginal distribution | Multiset | Linear code | Finite field | Parity function | Theoretical computer science | PCP theorem | Probability distribution | Pseudorandom generator | Hadamard code