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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > YOTAM DIKSTEIN:
All reports by Author Yotam Dikstein:

TR19-112 | 1st September 2019
Yotam Dikstein, Irit Dinur

Agreement testing theorems on layered set systems

We introduce a framework of layered subsets, and give a sufficient condition for when a set system supports an agreement test. Agreement testing is a certain type of property testing that generalizes PCP tests such as the plane vs. plane test.

Previous work has shown that high dimensional expansion ... more >>>


TR18-075 | 23rd April 2018
Irit Dinur, Yotam Dikstein, Yuval Filmus, Prahladh Harsha

Boolean function analysis on high-dimensional expanders

Revisions: 2

We initiate the study of Boolean function analysis on high-dimensional expanders. We describe an analog of the Fourier expansion and of the Fourier levels on simplicial complexes, and generalize the FKN theorem to high-dimensional expanders.

Our results demonstrate that a high-dimensional expanding complex X can sometimes serve as a sparse ... more >>>




ISSN 1433-8092 | Imprint