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ESA
1999
Springer
110views Algorithms» more  ESA 1999»
14 years 4 days ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle
CORR
2011
Springer
133views Education» more  CORR 2011»
12 years 11 months ago
Minimizing the sum of many rational functions
We consider the problem of globally minimizing the sum of many rational functions over a given compact semialgebraic set. The number of terms can be large (10 to 100), the degree ...
Florian Bugarin, Didier Henrion, Jean B. Lasserre
SMA
2005
ACM
133views Solid Modeling» more  SMA 2005»
14 years 1 months ago
Precise Voronoi cell extraction of free-form rational planar closed curves
We present an algorithm for generating the Voronoi cells for a set of rational C1 -continuous planar closed curves, which is precise up to machine precision. Initially, bisectors ...
Iddo Hanniel, Ramanathan Muthuganapathy, Gershon E...
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 8 months ago
Rational stochastic languages
In probabilistic grammatical inference, a usual goal is to infer a good approximation of an unknown distribution P called a stochastic language. The estimate of P stands in some cl...
François Denis, Yann Esposito
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 8 months ago
Bounded Rationality, Strategy Simplification, and Equilibrium
It is frequently suggested that predictions made by game theory could be improved by considering computational restrictions when modeling agents. Under the supposition that player...
Hubie Chen