Download e-book for kindle: Analysis of Boolean Functions by Ryan O'Donnell

By Ryan O'Donnell

Boolean capabilities are maybe the main easy items of analysis in theoretical laptop 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 capabilities seeks to appreciate them through their Fourier rework and different analytic equipment. this article offers an intensive assessment of the sphere, starting with the main uncomplicated definitions and continuing to complicated themes equivalent to hypercontractivity and isoperimetry. every one bankruptcy encompasses a 'highlight software' similar to Arrow's theorem from economics, the Goldreich–Levin set of rules from cryptography/learning idea, Håstad's NP-hardness of approximation effects, and 'sharp threshold' theorems for random graph homes. The publication contains approximately 450 routines and will be used because the foundation of a one-semester graduate direction. it may attract complicated undergraduates, graduate scholars and researchers in machine technological know-how thought and similar mathematical fields.

Show description

Read or Download Analysis of Boolean Functions PDF

Best machine theory books

Read e-book online Introduction to Lattice Theory with Computer Science PDF

A computational point of view on partial order and lattice idea, concentrating on algorithms and their functions This e-book presents a uniform remedy of the speculation and purposes of lattice thought. The functions coated contain monitoring dependency in disbursed structures, combinatorics, detecting worldwide predicates in allotted platforms, set households, and integer walls.

Read e-book online Swarm, Evolutionary, and Memetic Computing: 5th PDF

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

Read e-book online Emerging Intelligent Computing Technology and Applications: PDF

This publication constitutes the refereed lawsuits of the ninth overseas convention on clever Computing, ICIC 2013, held in Nanning, China, in July 2013. The 192 revised complete papers provided within the 3 volumes LNCS 7995, LNAI 7996, and CCIS 375 have been conscientiously reviewed and chosen from 561 submissions.

Mark McKenney,Markus Schneider's Map Framework: A Formal Model of Maps as a Fundamental Data PDF

This publication explores the concept that of a map as a basic information sort. It defines maps at 3 degrees. the 1st is an summary point, within which mathematic innovations are leveraged to exactly clarify maps and operational semantics. the second one is at a discrete point, within which graph idea is used to create a knowledge version with the aim of implementation in computers.

Additional info for Analysis of Boolean Functions

Example text

Download PDF sample

Analysis of Boolean Functions by Ryan O'Donnell

by Kenneth

Rated 4.45 of 5 – based on 24 votes