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» Proof and Computation in Geometry
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STOC
1999
ACM
104views Algorithms» more  STOC 1999»
15 years 11 months ago
Fast Approximate PCPs
We investigate the question of when a prover can aid a verifier to reliably compute a function faster than if the verifier were to compute the function on its own. Our focus is ...
Funda Ergün, Ravi Kumar, Ronitt Rubinfeld
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
15 years 10 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch
COMPGEOM
2011
ACM
14 years 10 months ago
An output-sensitive algorithm for persistent homology
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
Chao Chen, Michael Kerber

Lecture Notes
592views
17 years 6 months ago
Stochastic Differential Equations
These lecture notes have been developed over several semesters with the assistance of students in the course. For many (most) results, only incomplete proofs are given. Gaps in the...
Thomas G. Kurtz
FMCAD
2007
Springer
16 years 25 days ago
Lifting Propositional Interpolants to the Word-Level
— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...
Daniel Kroening, Georg Weissenbacher