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EWC
2006
114views more  EWC 2006»
13 years 11 months ago
Automated symmetry exploitation in engineering analysis
In engineering analysis, geometric symmetry, when exploited, has two potential benefits: (1) it can significantly reduce the computational time, and (2) it can simultaneously impr...
Krishnan Suresh, Ameya Sirpotdar
CONSTRAINTS
2006
105views more  CONSTRAINTS 2006»
13 years 11 months ago
Symmetry Breaking Constraints for Value Symmetries in Constraint Satisfaction
Constraint satisfaction problems (CSPs) sometimes contain both variable symmetries and value symmetries, causing adverse effects on CSP solvers based on tree search. As a remedy, s...
Y. Law, J. Lee
CONSTRAINTS
2006
76views more  CONSTRAINTS 2006»
13 years 11 months ago
Symmetry Definitions for Constraint Satisfaction Problems
We review the many different definitions of symmetry for constraint satisfaction problems (CSPs) that have appeared in the literature, and show that a symmetry can be defined in tw...
David A. Cohen, Peter Jeavons, Christopher Jeffers...
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 11 months ago
Symmetry Breaking for Maximum Satisfiability
Symmetries are intrinsic to many combinatorial problems including Boolean Satisfiability (SAT) and Constraint Programming (CP). In SAT, the identification of symmetry breaking pred...
João Marques-Silva, Inês Lynce, Vasco...
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 11 months ago
Symmetry within and between solutions
Symmetry can be used to help solve many problems. For instance, Einstein's famous 1905 paper ("On the Electrodynamics of Moving Bodies") uses symmetry to help derive...
Toby Walsh
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 11 months ago
Symmetry within Solutions
We define the concept of an internal symmetry. This is a symmety within a solution of a constraint satisfaction problem. We compare this to solution symmetry, which is a mapping b...
Marijn Heule, Toby Walsh
CGF
2008
144views more  CGF 2008»
13 years 11 months ago
Global Intrinsic Symmetries of Shapes
Although considerable attention in recent years has been given to the problem of symmetry detection in general shapes, few methods have been developed that aim to detect and quant...
Maks Ovsjanikov, Jian Sun, Leonidas J. Guibas
CGF
2010
127views more  CGF 2010»
13 years 11 months ago
On Discrete Killing Vector Fields and Patterns on Surfaces
Symmetry is one of the most important properties of a shape, unifying form and function. It encodes semantic information on one hand, and affects the shape's aesthetic value ...
Mirela Ben-Chen, Adrian Butscher, Justin Solomon, ...
GECCO
2008
Springer
155views Optimization» more  GECCO 2008»
14 years 18 days ago
Modularity and symmetry in computational embryogeny
Modularity and symmetry are two properties observed in almost every engineering and biological structure. The origin of these properties in nature is still unknown. Yet, as engine...
Or Yogev, Andrew A. Shapiro, Erik K. Antonsson
ECAI
2010
Springer
14 years 19 days ago
Symmetries of Symmetry Breaking Constraints
Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different s...
George Katsirelos, Toby Walsh