TY - GEN

T1 - Approximating general metric distances between a pattern and a text

AU - Porat, Ely

AU - Efremenko, Klim

PY - 2008/1/1

Y1 - 2008/1/1

N2 - Let T = t0 ... tn-1 be a text and P = p0 ... pm-1 a pattern taken from some finite alphabet set Σ, and let d be a metric on Σ. We consider the problem of calculating the sum of distances between the symbols of P and the symbols of substrings of T of length m for all possible offsets. We present an ε-approximation algorithm for this problem which runs in time O(1/ε2n · polylog(n, |Σ|)). This algorithm is based on a low distortion embedding of metric spaces into normed spaces (especially, into l∞), which is done as a preprocessing stage. The algorithm is also based on a technique of sampling.

AB - Let T = t0 ... tn-1 be a text and P = p0 ... pm-1 a pattern taken from some finite alphabet set Σ, and let d be a metric on Σ. We consider the problem of calculating the sum of distances between the symbols of P and the symbols of substrings of T of length m for all possible offsets. We present an ε-approximation algorithm for this problem which runs in time O(1/ε2n · polylog(n, |Σ|)). This algorithm is based on a low distortion embedding of metric spaces into normed spaces (especially, into l∞), which is done as a preprocessing stage. The algorithm is also based on a technique of sampling.

UR - http://www.scopus.com/inward/record.url?scp=58049090635&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:58049090635

SN - 9780898716474

T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

SP - 419

EP - 427

BT - Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms

PB - Association for Computing Machinery

T2 - 19th Annual ACM-SIAM Symposium on Discrete Algorithms

Y2 - 20 January 2008 through 22 January 2008

ER -