With random inputs, certain decision problems undergo a “phase transition”. We prove similar behavior in an optimization context. Given a conjunctive normal form (CNF) formula...
Don Coppersmith, David Gamarnik, Mohammad Taghi Ha...
Several works have shown that the covering test in relational learning exhibits a phase transition in its covering probability. It is argued that this phase transition dooms every...
We present new results in crossword composition, showing that our program significantly outperforms previous successful techniques in the literature. We emphasize phase transition ...
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
We implement a self-organized flocking behavior in a group of mobile robots and analyze its transition from an aligned state to an unaligned state. We briefly describe the robot an...
We describe a detailed experimental investigation of the phase transition for several different classes of randomly generated satisfiability problems. We observe a remarkable consi...
Abstract. This paper presents an experimental investigation of the following questions: how does the averagecase complexity of random 3-SAT, understood as a function of the order (...
Cristian Coarfa, Demetrios D. Demopoulos, Alfonso ...
We study the quality of LP-based approximation methods for pure combinatorial problems. We found that the quality of the LPrelaxation is a direct function of the underlying constra...
An experimental analysis of the asynchronous version of the “Game of Life” is performed to estimate how topology perturbations modify its evolution. We focus on the study of a ...
An analysis for the phase transition in a random NK landscape model is given. For the fixed ratio model, NK(n, k, z), Gao and Culberson [17] showed that a random instance generat...