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CORR
2008
Springer
77views Education» more  CORR 2008»
13 years 5 months ago
Principal Graphs and Manifolds
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
Alexander N. Gorban, Andrei Yu. Zinovyev
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
13 years 10 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
VMCAI
2005
Springer
13 years 11 months ago
On the Complexity of Error Explanation
When a system fails to satisfy its specification, the model checker produces an error trace (or counter-example) that demonstrates an undesirable behavior, which is then used in d...
Nirman Kumar, Viraj Kumar, Mahesh Viswanathan
CPM
2005
Springer
100views Combinatorics» more  CPM 2005»
13 years 7 months ago
Hardness of Optimal Spaced Seed Design
Abstract. Speeding up approximate pattern matching is a line of research in stringology since the 80’s. Practically fast approaches belong to the class of filtration algorithms,...
François Nicolas, Eric Rivals
JPDC
2007
138views more  JPDC 2007»
13 years 5 months ago
Distributed computation of the knn graph for large high-dimensional point sets
High-dimensional problems arising from robot motion planning, biology, data mining, and geographic information systems often require the computation of k nearest neighbor (knn) gr...
Erion Plaku, Lydia E. Kavraki