Randomness PowerPoint PPT Presentations

Randomness & Pseudorandomness Avi Wigderson IAS, Princeton

Plan of the talk. Computational complexity -- efficient algorithms, ... Algorithm [Dyer-Frieze-Kannan 91]: Approx counting random sampling. Random walk inside K. ...

We can get real random numbers from a truly random phenomenon (if such exist and ... not a whole lot, but enough to derive a seed in twentysome minutes...

Set up model for outcome. Random number table. Digits 0-9 equally likely. ... Say I run a simulation, it suggests that I'll have to buy 10 boxes. ...

We use randomness in our data collection to give a fair and accurate picture of the world. ... the most basic event we are simulating: a single free-throw (foul shot) ...

Random: Process where the outcome in a particular trial is not known in ... Example: Florida lotto. You select 6 distinct digits from 1 to 53 (no replacement) ...

The Power of Randomness in Computation David Zuckerman University of Texas at Austin Outline Power of randomness: Randomized algorithms Monte Carlo simulations ...

Trading Coordination For Randomness. Szymon Chachulski. Mike Jennings, Sachin ... Upon transmission, decrement the counter. Source stops No triggers Flow is done ...

Randomness Extractors: Motivation, Applications and Constructions ... Extractors use few random bits to extract many random bits ... Extractors from error ...

Strategy: Generate random n-bit numbers Test each one for primality For 1000-bit primes, if we try out 10000 random 1000-bit numbers, ...

Randomness and probability A phenomenon is random if individual outcomes are uncertain, but there is nonetheless a regular distribution of outcomes in a large number ...

Randomness and probability A phenomenon is random if individual outcomes are uncertain, but there is nonetheless a regular distribution of outcomes in a large number ...

... probability function is a probability for a single random variable obtained ... Fact1: If X1, X2, ..., Xn are iid with EXi = and Var[Xi]=s2 for i=1,2,...,n, then ...

Turn over the cards to reveal which babies were randomly assigned to which mothers. ... Where 1234 means each mom got right baby, And 1243 means the 3rd and 4th ...

... exponential and fibonacci - emulation by compression - emergence of randomness ... Emergence of randomness. spotted visually ...

Sophisticated random sampling used to approximate various quantities. ... Approximation algorithms. Optimization algorithms. Many more ...

Comparison of Azimuth Distributions. SURVEY DESIGN PARAMETERS AND RANDOMIZATION. Traces ... create further improvement of the offset and azimuth distributions. ...

Some decision tree ensembles utilize randomization techniques to create diverse ... Examples of such are Bagging, Randomized Trees, Random Subspace, Decision Tree ...

Don't let post-lottery procedures undo the 'randomness' ... Avoid Undoing Randomness. Data collection problems. Low rates for sample ...

At Randomiser Generator, we believe in the power of randomness. Whether you're organizing a raffle, picking a winner, or making a tough decision, our tool is here to help. We understand that making decisions can be tough, especially when there are many options to choose from. That's why we've created a simple and efficient way to generate randomized results that you can trust.

Forecasting DJIA with Random Walk. Characteristics of Auto-Regressive ... DJIA. Runs Test for Randomness. Diff1(Close) Correlogram for Differences Cannot ...

Test for Randomness of first difference (DIFF) Intel Closing Prices [6/16/97-6/12/00] ... The series (Intel Closing Prices) is not random. ...

It is not possible to define randomness in purely mathematical terms, ... Picture galery. The very first prototype (April 2004) on a breadboard ...

Andrew Cronwright Supervisor: Barry Irwin Overview of this Presentation Randomness Defined PRNG s Introduced Application of PRNG s Focus of PRNG s in this ...

Random Topics (Selling sand in the desert) by Laszlo Hars http://www.hars.us/Papers/RandomTopics-SummerCon.ppt Topics-1 Aspects of randomness Where and why are random ...

how randomness is tested. random number generators in Perl ... a special system 'device' that spits out random bits. kernel-based ...

1. A machine code executable was reduced from 9220 to 4001 bytes, to 43.39 ... Chi square distribution for 931467 samples is 13250024.68, and randomly would ...

Random Numbers RANDOM VS PSEUDO RANDOM Truly Random numbers From Wolfram: A random number is a number chosen as if by chance from some specified distribution such ...

Tests of Random Engines in CLHEP. Heinrich's note about RandEngine. Essential ... All engines other than RandEngine and DRand48 pass the entire DIEHARD Suite. ...

Implications of Data Remanence on the Use of RAM for True Random ... Use of sensors as an entropy source. Efficiency of alternative extractors. 21. Thank you! ...

Anyone who considers arithmetical methods of producing random digits is, of ... Examples: Casting lots, rolling dice, drawing numbered balls from a well-stirred ...

Randomized algorithms: Use of probabilistic inequalities in analysis, amortized analysis, competitive analysis, and applications using examples.

CPE 619 Random-Number Generation Aleksandar Milenkovi The LaCASA Laboratory Electrical and Computer Engineering Department The University of Alabama in Huntsville

An Embedded True Random Number Generator for FPGAs. Bebek, Jerry. Paul ... George Mason University. 4400 University Drive. Fairfax, VA 22030, USA. kgaj@gmu.edu ...

II. Characterization of Random Variables

Sometimes in-depth understanding of random number generators themselves ... implemented with substantial programming acumen. Introduction cont...

Randomized Algorithms for Robust Routing and Adaptive Duty Cycling. Alvise Bonivento ... Forward packet to the first available node in an adjacent block closer ...

Random Forests for Language Modeling Peng Xu and Frederick Jelinek IPAM: January 24, 2006 What Is a Language Model? A probability distribution over word sequences ...

The Random Matrix Technique of Ghosts and Shadows Alan Edelman Dept of Mathematics Computer Science and AI Laboratories Massachusetts Institute of Technology

Random split selection does better than bagging; introduction of random noise ... In each iteration, 10% of the data was split off as a test set. ...

RAND Corporation in 1955 released a table of a million random digits. ... a function f defined on an interval (a, b) and having the following properties: ...

... Waves in Isotropic Random Media (Korn ... Initial Condition for Isotropic Radiation from Point Source. Fourier ... in 3D = Isotropic in 3D (Shishov, ...

Time Series and Forecasting Random Series STEREO.XLS Monthly sales for a chain of stereo retailers are listed in this file. They cover the period form the beginning ...

Random Variables and Probability Distributions Modified from a presentation by Carlos J. Rosas-Anderson The Normal Distribution Overview The Normal Distribution ...

Random Number Generation (RNG) read Numerical Recipes on random numbers and the chi-squared test. Today we discuss how to generate and test random numbers.

read 'Numerical Recipes' on random numbers and chi-squared test. Today we discuss how to generate and test random numbers. What is a random number? ...

random process

A Random Number Generator using Metastability. D.J.Kinniment, and E.G.Chester ... Random number generators. Usually use thermal noise. Post-processing. ...

Reduce risk of current and future patients of being on harmful treatment ... Current smoker (%) 57.3 56.8. 542-04-#6. Randomization Basis for. Tests of Hypotheses ...

The classical & most famous rand eig theorem. Let S = random symmetric Gaussian ... Tidbit of interest to 'Matrix Computations' Audience ...

IV054 CHAPTER 6: Other cryptosystems , pseudo-random numbers generators and hash functions A large number of interesting and important cryptosystems have already been ...

Random Data Perturbation Techniques and Privacy Preserving Data Mining (Authors: H. Kargupta, S. Datta, Q. Wang & K. Sivakumar) April 26, 2005 Gunjan Gupta

Random-Packing Dynamics in Granular Flow Martin Z. Bazant Department of Mathematics, MIT The Dry Fluids Laboratory @ MIT Students: Chris Rycroft, Ken Karmin, Jeremie ...

Gk(r) is a cryptographically strong pseudo random number (C-PRN) ... Pseudo Random Number Generator: function Gk: {0,1}s {0,1}k, ...

LECTURE 2 PROBABILITY REVIEW AND RANDOM PROCESS * * AUTOCORRELATION Autocorrelation of Energy Signals Correlation is a matching process; autocorrelation refers to the ...

Program Analysis (Using Randomization) Sumit Gulwani, George Necula (U.C. Berkeley) ... Interactive Debugging and Testing of Programs. Randomized Strategy ...