Recently there has been significant progress in our understanding of the computational nature of combinatorial problems. Randomized search methods, both complete and incomplete, o...
We study effectively given positive reals (more specifically, computably enumerable reals) under a measure of relative randomness introduced by Solovay [32] and studied by Calud...
Rodney G. Downey, Denis R. Hirschfeldt, Andr&eacut...
Abstract. In this paper, we introduce a general and modular framework for formalizing reasoning with incomplete and inconsistent information. Our framework is composed of non-deter...
Abstract. Given a directed graph G = (V, E) and an integer k 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, EH ) that has (1) the same transitive...
Arnab Bhattacharyya, Elena Grigorescu, Madhav Jha,...
We give a new model of learning motivated by smoothed analysis (Spielman and Teng, 2001). In this model, we analyze two new algorithms, for PAC-learning DNFs and agnostically learn...
Adam Tauman Kalai, Alex Samorodnitsky, Shang-Hua T...