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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > SOPHIE LAPLANTE:
All reports by Author Sophie Laplante:

TR23-041 | 1st April 2023
Lila Fontes, Sophie Laplante, Mathieu Lauriere, Alexandre Nolin

The communication complexity of functions with large outputs

We study the two-party communication complexity of functions with large outputs, and show that the communication complexity can greatly vary depending on what output model is considered. We study a variety of output models, ranging from the open model, in which an external observer can compute the outcome, to the ... more >>>


TR22-143 | 7th November 2022
Sourav Chakraborty, Anna Gal, Sophie Laplante, Rajat Mittal, Anupa Sunny

Certificate games

Revisions: 1

We introduce and study Certificate Game complexity, a measure of complexity based on the probability of winning a game where two players are given inputs with different function values and are asked to output some index $i$ such that $x_i\neq y_i$, in a zero-communication setting.

We give upper and lower ... more >>>


TR20-002 | 6th January 2020
Sophie Laplante, Reza Naserasr, Anupa Sunny

Sensitivity lower bounds from linear dependencies

Recently, using spectral techniques, H. Huang proved that every subgraph of the hypercube of dimension n induced on more than half the vertices has maximum degree at least the square root of n. Combined with some earlier work, this completed a proof of the sensitivity conjecture. In this work we ... more >>>




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