Algebrization: A New Barrier in Complexity Theory Scott Aaronson∗ Avi Wigderson† MIT Institute for Advanced Study Abstract Any proof of P ̸= NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does not have linear-size circuits) that overcome […]
PROPERTY TESTING LOWER BOUNDS VIA COMMUNICATION COMPLEXITY Eric Blais, Joshua Brody, and Kevin Matulef February 21, 2012 Abstract. We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for reducing com- munication problems to testing problems, thus allowing
Prof. Mark Bun CAS CS 591 B: Communication Complexity Lecture Notes 18: Pattern Matrix Method Fall 2019 Reading. • Sherstov, The Pattern Matrix Method We’ll continue our discussion of lifting theorems by studying Sherstov’s Pattern Matrix Method, which is a technique for lifting lower bounds on the approximability of boolean functions by poly- nomials to
CS代考计算机代写 decision tree Prof. Mark Bun Read More »
CS 535: Complexity Theory, Fall 2020 Homework 3 Due: 8:00PM, Friday, September 25, 2020. Reminder. Homework must be typeset with LATEX preferred. Make sure you understand the course collaboration and honesty policy before beginning this assignment. Collaboration is permitted, but you must write the solutions by yourself without assistance. You must also identify your collaborators.
CS代考计算机代写 decision tree CS 535: Complexity Theory, Fall 2020 Homework 3 Read More »
Foundations and Trends⃝R in Theoretical Computer Science Vol. 4, Nos. 1–2 (2008) 1–155 ⃝c 2009 S. V. Lokam DOI: 10.1561/0400000011 Complexity Lower Bounds using Linear Algebra By Satyanarayana V. Lokam Contents 1 Introduction 2 1.1 Scope 2 1.2 Matrix Rigidity 3 1.3 Spectral Techniques 4 1.4 Sign-Rank 5 1.5 Communication Complexity 6 1.6 Graph Complexity
% % To use this as a template for turning in your solutions, change the flag % \inclsolns from 0 to 1. Make sure you include macros.tex in the directory % containing this file. Edit the “author” and “collaborators” fields as % appropriate. Write your solutions where indicated. % \def\inclsolns{0} \documentclass[12pt]{article} \usepackage{fullpage} \usepackage{graphicx} \usepackage{enumerate} \usepackage{comment}
CS代考计算机代写 decision tree % Read More »
CS 591 B1: Communication Complexity, Fall 2019 Problem Set 3 Due: 5:00PM, Friday, November 15, 2019. Homework Policies: • Submit your completed assignment by email to mbun[at]bu[dot]edu. Please include the string “CS591PS3” somewhere in your subject line. • Solutions must be typeset, e.g., using LATEX or Microsoft Word. • To help your instructor calibrate the
CS代考计算机代写 decision tree CS 591 B1: Communication Complexity, Fall 2019 Problem Set 3 Read More »
Lower Bounds in Communication Complexity: A Survey Troy Lee Adi Shraibman Columbia University Weizmann Institute Abstract We survey lower bounds in communication complexity. Our focus is on lower bounds that work by first representing the communication complexity measure in Euclidean space. That is to say, the first step in these lower bound techniques is to
Prof. Mark Bun CAS CS 591 B: Communication Complexity Lecture Notes 15: Introduction to Lifting Fall 2019 Reading. • Rao-Yehudayo, Chapter 8 Today we’ll begin our discussion of lifting theorems. Sometimes you will see these referred to as simulation theorems or hardness escalation theorems. Lifting is a quite general technique which takes lower bounds against
CS代考计算机代写 algorithm decision tree Prof. Mark Bun Read More »
Prof. Mark Bun CAS CS 591 B: Communication Complexity Lecture Notes 16 & 17: Deterministic Lifting Fall 2019 Reading. • Rao-Yehudayo, Chapter 8 • Chattopadhyay-Kouchký-Lo-Mukhopadhyay,SimulationTheoremsviaPseudo-randomProp- erties We begin a proof of a quite general deterministic lifting theorem. This lifting theorem works for any gadget g satisfying a certain pseudorandom property which we’ll call the h-hitting
CS代考计算机代写 algorithm decision tree Prof. Mark Bun Read More »