The Goemans-Williamson randomized algorithm guarantees a high-quality approximation to the Max-Cut problem, but the cost associated with such an approximation can be excessively high for large-scale problems due to the need for solving an expensive semidefinite relaxation. In order to achieve better practical performance, we propose an alternative, rank-two relaxation and develop a specialized ...

Williamson type matrices A, B, C 1 D will be called nice if ABT + C DT = 0, perfect if ABT + CDT = ACT + BDT 0, special if ABT + CDT = ACT + BDT = ADT + BCT = o. Type 1 (1 , -1 )-matrices A, B, C, D of order n will be called tight Williamson-like matrices if AAT + BBT + CCT + DDT 4nIn and ABT + BAT + CDT + DCT o. Write N = 32T . piTl ••• p!Tn , where Pj 3(mod 4), Pj > 3, j = 1, ... ,n and r, rl...

Digital education governance: data visualization, predictive analytics, and ‘real-time’ policy instruments Ben Williamson To cite this article: Ben Williamson (2016) Digital education governance: data visualization, predictive analytics, and ‘real-time’ policy instruments, Journal of Education Policy, 31:2, 123-141, DOI: 10.1080/02680939.2015.1035758 To link to this article: http://dx.doi.org/1...

In Williamson (2007), Timothy Williamson argues against “the tactic of criticizing confidence in a theory by identifying a logical consequence of the theory (not itself a logical truth) whose probability is not raised by the evidence” (232-233). He dubs it the consequence fallacy. In this paper, we will show that Williamson‟s formulation of the tactic in question is ambiguous. On one reading of...

In this work we apply the recently proposed Unified Particle Swarm Optimization (UPSO) method to the search for Hadamard matrices of the Williamson type. The objective functions that arise from the classical Williamson construction, are ideally suited for UPSO algorithms. This is the first time that swarm intelligence methods are applied to this problem. Mathematics Subject Classification (2000...