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CJTCS
2016
49views Hardware» more  CJTCS 2016»
4 years 3 months ago
Noise Stable Halfspaces are Close to Very Small Juntas
Bourgain [Bou02] showed that any noise stable Boolean function f can be well-approximated by a junta. In this note we give an exponential sharpening of the parameters of Bourgainâ...
Ilias Diakonikolas, Ragesh Jaiswal, Rocco A. Serve...
CJTCS
2016
71views Hardware» more  CJTCS 2016»
4 years 3 months ago
Layouts of Expander Graphs
Abstract: Bourgain and Yehudayoff recently constructed O(1)-monotone bipartite expanders. By combining this result with a generalisation of the unraveling method of Kannan, we cons...
Vida Dujmovic, Anastasios Sidiropoulos, David R. W...
CJTCS
2016
48views Hardware» more  CJTCS 2016»
4 years 3 months ago
Reducing uniformity in Khot-Saket hypergraph coloring hardness reductions
: In a recent result, Khot and Saket [FOCS 2014] proved the quasi-NP-hardness of coloring a 2-colorable 12-uniform hypergraph with 2(logn)Ω(1) colors. This result was proved usin...
Girish Varma
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