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AUTOMATICA
2008
75views more  AUTOMATICA 2008»
14 years 9 months ago
Optimal complexity reduction of polyhedral piecewise affine systems
This paper focuses on the NP-hard problem of reducing the complexity of piecewise polyhedral systems (e.g. polyhedral piecewise affine (PWA) systems). The results are fourfold. Fi...
Tobias Geyer, Fabio Danilo Torrisi, Manfred Morari
GLOBECOM
2009
IEEE
15 years 1 months ago
Near-ML Detection over a Reduced Dimension Hypersphere
Abstract--In this paper, we propose a near-maximum likelihood (ML) detection method referred to as reduced dimension ML search (RD-MLS). The RD-MLS detector is based on a partition...
Jun Won Choi, Byonghyo Shim, Andrew C. Singer
CDC
2009
IEEE
166views Control Systems» more  CDC 2009»
15 years 2 months ago
Idempotent method for dynamic games and complexity reduction in min-max expansions
— In recent years, idempotent methods (specifically, max-plus methods) have been developed for solution of nonlinear control problems. It was thought that idempotent linearity o...
William M. McEneaney
CORR
2007
Springer
94views Education» more  CORR 2007»
14 years 9 months ago
Size reduction of complex networks preserving modularity
The ubiquity of modular structure in real-world complex networks is being the focus of attention in many trials to understand the interplay between network topology and functionali...
Alex Arenas, J. Duch, A. Fernandez, Sergio G&oacut...
JCSS
1998
74views more  JCSS 1998»
14 years 9 months ago
Reductions in Circuit Complexity: An Isomorphism Theorem and a Gap Theorem
We show that all sets that are complete for NP under non-uniform AC0 reductions are isomorphic under non-uniform AC0-computable isomorphisms. Furthermore, these sets remain NP-com...
Manindra Agrawal, Eric Allender, Steven Rudich