All reports by Author Sophie Laplante:

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TR23-041
| 1st April 2023
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Lila Fontes, Sophie Laplante, Mathieu Lauriere, Alexandre Nolin#### The communication complexity of functions with large outputs

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

Revisions: 1

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TR20-002
| 6th January 2020
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Sophie Laplante, Reza Naserasr, Anupa Sunny#### Sensitivity lower bounds from linear dependencies

Lila Fontes, Sophie Laplante, Mathieu Lauriere, Alexandre Nolin

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 >>>

Sourav Chakraborty, Anna Gal, Sophie Laplante, Rajat Mittal, Anupa Sunny

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 >>>

Sophie Laplante, Reza Naserasr, Anupa Sunny

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 >>>