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CJTCS
2016
49views Hardware» more  CJTCS 2016»
10 years 16 days 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
48views Hardware» more  CJTCS 2016»
10 years 16 days 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
191
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CJTCS
2016
71views Hardware» more  CJTCS 2016»
10 years 16 days 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...