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WADS
2005
Springer
114views Algorithms» more  WADS 2005»
13 years 10 months ago
Subquadratic Algorithms for 3SUM
We obtain subquadratic algorithms for 3SUM on integers and rationals in several models. On a standard word RAM with w-bit words, we obtain a running time of O(n2 / max{ w lg2 w , ...
Ilya Baran, Erik D. Demaine, Mihai Patrascu
STOC
2010
ACM
174views Algorithms» more  STOC 2010»
14 years 2 months ago
Towards Polynomial Lower Bounds for Dynamic Problems
We consider a number of dynamic problems with no known poly-logarithmic upper bounds, and show that they require n(1) time per operation, unless 3SUM has strongly subquadratic alg...
Mihai Patrascu
SOFSEM
2007
Springer
13 years 10 months ago
Fast Approximate Point Set Matching for Information Retrieval
We investigate randomised algorithms for subset matching with spatial point sets—given two sets of d-dimensional points: a data set T consisting of n points and a pattern P consi...
Raphaël Clifford, Benjamin Sach
JSC
2002
61views more  JSC 2002»
13 years 4 months ago
Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm
This paper describes a new algorithm for computing linear generators (vector generating polynomials) for matrix sequences, running in subquadratic time. This algorithm applies in ...
Emmanuel Thomé
ISMIR
2004
Springer
157views Music» more  ISMIR 2004»
13 years 10 months ago
Pattern Matching in Polyphonic Music as a Weighted Geometric Translation Problem
We consider the music pattern matching problem—to find occurrences of a small fragment of music called the “pattern” in a larger body of music called the “score”—as a...
Anna Lubiw, Luke Tanur