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» On discrete norms of polynomials
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COLT
2007
Springer
14 years 4 months ago
Learning Large-Alphabet and Analog Circuits with Value Injection Queries
Abstract. We consider the problem of learning an acyclic discrete circuit with n wires, fan-in bounded by k and alphabet size s using value injection queries. For the class of tran...
Dana Angluin, James Aspnes, Jiang Chen, Lev Reyzin
COMPGEOM
1997
ACM
14 years 2 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
COMPGEOM
2001
ACM
14 years 1 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
HYBRID
2010
Springer
14 years 4 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan
ICS
2010
Tsinghua U.
14 years 7 months ago
Are Stable Instances Easy?
We introduce the notion of a stable instance for a discrete optimization problem, and argue that in many practical situations only sufficiently stable instances are of interest. T...
Yonatan Bilu, Nathan Linial