A (q, , )-locally decodable code (LDC) C : {0, 1}n {0, 1}m is an encoding from n-bit strings to m-bit strings such that each bit xk can be recovered with probability at least 1 2 +...
Abstract. Markov random fields are often used to model high dimensional distributions in a number of applied areas. A number of recent papers have studied the problem of reconstruc...
For every fixed 0, we give an algorithm that, given an n-vertex 3-uniform hypergraph containing an independent set of size n, finds an independent set of size n(2 ) . This improv...
Abstract. We construct an efficient 3-source extractor that requires one of the sources to be significantly shorter than the min-entropy of the other two sources. Our extractors wo...
We give an algorithm that with high probability properly learns random monotone DNF with t(n) terms of length log t(n) under the uniform distribution on the Boolean cube {0, 1}n ....
Jeffrey C. Jackson, Homin K. Lee, Rocco A. Servedi...