Download Analysis of Boolean Functions by Ryan O'Donnell PDF

By Ryan O'Donnell

Boolean features are possibly the main simple gadgets of research in theoretical machine technology. in addition they come up in different parts of arithmetic, together with combinatorics, statistical physics, and mathematical social selection. the sector of research of Boolean features seeks to appreciate them through their Fourier rework and different analytic tools. this article provides a radical assessment of the sector, starting with the main easy definitions and continuing to complicated themes corresponding to hypercontractivity and isoperimetry. each one bankruptcy features a 'highlight program' comparable to Arrow's theorem from economics, the Goldreich–Levin set of rules from cryptography/learning concept, Håstad's NP-hardness of approximation effects, and 'sharp threshold' theorems for random graph houses. The e-book comprises approximately 450 workouts and will be used because the foundation of a one-semester graduate path. it may entice complicated undergraduates, graduate scholars and researchers in machine technology thought and comparable mathematical fields.

Show description

Read Online or Download Analysis of Boolean Functions PDF

Best machine theory books

Swarm, Evolutionary, and Memetic Computing: 5th International Conference, SEMCCO 2014, Bhubaneswar, India, December 18-20, 2014, Revised Selected Papers (Lecture Notes in Computer Science)

This quantity constitutes the completely refereed post-conference lawsuits of the fifth foreign convention on Swarm, Evolutionary, and Memetic Computing, SEMCCO 2014, held in Bhubaneswar, India, in December 2014. the complete of ninety six papers awarded during this quantity used to be rigorously reviewed and chosen from 250 submissions for inclusion within the lawsuits.

Theory and Practice of Natural Computing: Fourth International Conference, TPNC 2015, Mieres, Spain, December 15-16, 2015. Proceedings (Lecture Notes in Computer Science)

This publication constitutes the refereed complaints of the 4thInternational convention on idea and perform of ordinary Computing, TPNC2015, held in Mieres, Spain, in December 2015. The 12 revised complete papers awarded togetherwith 20 invited talks during this publication have been conscientiously reviewed and chosen from 30submissions.

Evolutionary Computation in Combinatorial Optimization: 16th European Conference, EvoCOP 2016, Porto, Portugal, March 30 -- April 1, 2016, Proceedings (Lecture Notes in Computer Science)

Thisbook constitutes the refereed complaints of the sixteenth ecu convention onEvolutionary Computation in Combinatorial Optimization, EvoCOP 2016, held in Porto,Portugal, in March/April 2016, co-located with the Evo*2015 occasions EuroGP,EvoMUSART and EvoApplications. The17 revised complete papers offered have been conscientiously reviewed and chosen from 44submissions.

Decision Procedures: An Algorithmic Point of View (Texts in Theoretical Computer Science. An EATCS Series)

A call approach is an set of rules that, given a choice challenge, terminates with an accurate yes/no solution. the following, the authors specialize in theories which are expressive adequate to version actual difficulties, yet are nonetheless decidable. particularly, the e-book concentrates on selection tactics for first-order theories which are favourite in computerized verification and reasoning, theorem-proving, compiler optimization and operations learn.

Additional info for Analysis of Boolean Functions

Example text

Download PDF sample

Rated 4.83 of 5 – based on 12 votes