Results 1 to 10 of about 5,642,848 (291)

Separations in Communication Complexity Using Cheat Sheets and Information Complexity [PDF]

open access: yesIEEE Annual Symposium on Foundations of Computer Science, 2016
While exponential separations are known between quantum and randomized communication complexity for partial functions (Raz, STOC 1999), the best known separation between these measures for a total function is quadratic, witnessed by the disjointness ...
Anurag Anshu   +7 more
semanticscholar   +1 more source

Distribution Testing Lower Bounds via Reductions from Communication Complexity

open access: yesCybersecurity and Cyberforensics Conference, 2019
We present a new methodology for proving distribution testing lower bounds, establishing a connection between distribution testing and the simultaneous message passing (SMP) communication model.
Eric Blais, C. Canonne, Tom Gur
semanticscholar   +1 more source

Probabilistic Communication Complexity

open access: yes25th Annual Symposium onFoundations of Computer Science, 1984., 1986
Communication is a bottleneck in many distributed computations. In VLSI, communication constraints dictate lower bounds on the performance of chips. The two-processor information transfer model measures the communication requirements to compute functions. We study the unbounded error probabilistic version of this model.
Ramamohan Paturi, Janos Simon
openaire   +2 more sources

Communication Complexity of Collision

open access: yesElectron. Colloquium Comput. Complex., 2022
The Collision problem is to decide whether a given list of numbers $(x_1,\ldots,x_n)\in[n]^n$ is $1$-to-$1$ or $2$-to-$1$ when promised one of them is the case. We show an $n^{Ω(1)}$ randomised communication lower bound for the natural two-party version of Collision where Alice holds the first half of the bits of each $x_i$ and Bob holds the second ...
Mika Göös, Siddhartha Jain 0002
openaire   +5 more sources

Communication Complexity (for Algorithm Designers) [PDF]

open access: yesFoundations and Trends® in Theoretical Computer Science, 2015
This document collects the lecture notes from my course "Communication Complexity (for Algorithm Designers),'' taught at Stanford in the winter quarter of 2015. The two primary goals of the course are: 1. Learn several canonical problems that have proved
Tim Roughgarden
semanticscholar   +1 more source

On multi-partition communication complexity

open access: yesInformation and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavol Duris   +4 more
openaire   +3 more sources

Near-Optimal Bounds on Bounded-Round Quantum Communication Complexity of Disjointness [PDF]

open access: yesIEEE Annual Symposium on Foundations of Computer Science, 2015
We prove a near optimal round-communication tradeoff for the two-party quantum communication complexity of disjointness. For protocols with r rounds, we prove a lower bound of Omega(n/r) on the communication required for computing disjointness of input ...
M. Braverman   +4 more
semanticscholar   +1 more source

Communication complexity of PRAMs

open access: yesTheoretical Computer Science, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alok Aggarwal   +2 more
openaire   +1 more source

Food-web complexity, meta-community complexity and community stability [PDF]

open access: yesScientific Reports, 2016
Abstract What allows interacting, diverse species to coexist in nature has been a central question in ecology, ever since the theoretical prediction that a complex community should be inherently unstable. Although the role of spatiality in species coexistence has been recognized, its application to more complex systems has been less ...
A. Mougi, M. Kondoh
openaire   +2 more sources

Infinite Communication Complexity

open access: yesCoRR, 2014
Suppose that Alice and Bob are given each an infinite string, and they want to decide whether their two strings are in a given relation. How much communication do they need? How can communication be even defined and measured for infinite strings? In this article, we propose a formalism for a notion of infinite communication complexity, prove that it ...
Guillon, Pierre, Jeandel, Emmanuel
openaire   +3 more sources

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