Results 1  10
of
232,099
An Approximation Scheme for Bin Packing with Conflicts
, 1998
"... In this paper we consider the following bin packing problem with conicts. Given a set of items V = f1; : : : ; ng with sizes s 1 ; : : : ; sn 2 (0; 1] and a conflict graph G = (V; E), we consider the problem to find a packing for the items into bins of size one such that adjacent items (j; j 0 ) 2 E ..."
Abstract

Cited by 16 (0 self)
 Add to MetaCart
E are assigned to different bins. The goal is to find an assignment with a minimum number of bins. This problem is a natural generalization of the classical bin packing problem. We propose an asymptotic approximation scheme for the bin packing problem with conflicts restricted to dinductive graphs
A SublinearTime Approximation Scheme for Bin Packing
, 2008
"... The bin packing problem is defined as follows: given a set of n items with sizes 0 < w1, w2,...,wn ≤ 1, find a packing of these items into minimum number of unitsize bins possible. We present a sublineartime asymptotic approximation scheme for the bin packing problem; that is, for any ɛ> 0, ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
The bin packing problem is defined as follows: given a set of n items with sizes 0 < w1, w2,...,wn ≤ 1, find a packing of these items into minimum number of unitsize bins possible. We present a sublineartime asymptotic approximation scheme for the bin packing problem; that is, for any ɛ> 0
Proof verification and hardness of approximation problems
 IN PROC. 33RD ANN. IEEE SYMP. ON FOUND. OF COMP. SCI
, 1992
"... We show that every language in NP has a probablistic verifier that checks membership proofs for it using logarithmic number of random bits and by examining a constant number of bits in the proof. If a string is in the language, then there exists a proof such that the verifier accepts with probabilit ..."
Abstract

Cited by 825 (39 self)
 Add to MetaCart
in the proof (though this number is a very slowly growing function of the input length). As a consequence we prove that no MAX SNPhard problem has a polynomial time approximation scheme, unless NP=P. The class MAX SNP was defined by Papadimitriou and Yannakakis [82] and hard problems for this class include
A Guided Tour to Approximate String Matching
 ACM COMPUTING SURVEYS
, 1999
"... We survey the current techniques to cope with the problem of string matching allowing errors. This is becoming a more and more relevant issue for many fast growing areas such as information retrieval and computational biology. We focus on online searching and mostly on edit distance, explaining t ..."
Abstract

Cited by 585 (38 self)
 Add to MetaCart
We survey the current techniques to cope with the problem of string matching allowing errors. This is becoming a more and more relevant issue for many fast growing areas such as information retrieval and computational biology. We focus on online searching and mostly on edit distance, explaining the problem and its relevance, its statistical behavior, its history and current developments, and the central ideas of the algorithms and their complexities. We present a number of experiments to compare the performance of the different algorithms and show which are the best choices according to each case. We conclude with some future work directions and open problems.
An Optimal Algorithm for Approximate Nearest Neighbor Searching in Fixed Dimensions
 ACMSIAM SYMPOSIUM ON DISCRETE ALGORITHMS
, 1994
"... Consider a set S of n data points in real ddimensional space, R d , where distances are measured using any Minkowski metric. In nearest neighbor searching we preprocess S into a data structure, so that given any query point q 2 R d , the closest point of S to q can be reported quickly. Given any po ..."
Abstract

Cited by 987 (32 self)
 Add to MetaCart
positive real ffl, a data point p is a (1 + ffl)approximate nearest neighbor of q if its distance from q is within a factor of (1 + ffl) of the distance to the true nearest neighbor. We show that it is possible to preprocess a set of n points in R d in O(dn log n) time and O(dn) space, so that given a
Polynomial time approximation schemes for Euclidean TSP and other geometric problems
 In Proceedings of the 37th IEEE Symposium on Foundations of Computer Science (FOCS’96
, 1996
"... Abstract. We present a polynomial time approximation scheme for Euclidean TSP in fixed dimensions. For every fixed c � 1 and given any n nodes in � 2, a randomized version of the scheme finds a (1 � 1/c)approximation to the optimum traveling salesman tour in O(n(log n) O(c) ) time. When the nodes a ..."
Abstract

Cited by 404 (3 self)
 Add to MetaCart
Abstract. We present a polynomial time approximation scheme for Euclidean TSP in fixed dimensions. For every fixed c � 1 and given any n nodes in � 2, a randomized version of the scheme finds a (1 � 1/c)approximation to the optimum traveling salesman tour in O(n(log n) O(c) ) time. When the nodes
Scalable Recognition with a Vocabulary Tree
 IN CVPR
, 2006
"... A recognition scheme that scales efficiently to a large number of objects is presented. The efficiency and quality is exhibited in a live demonstration that recognizes CDcovers from a database of 40000 images of popular music CD's. The scheme ..."
Abstract

Cited by 1044 (0 self)
 Add to MetaCart
A recognition scheme that scales efficiently to a large number of objects is presented. The efficiency and quality is exhibited in a live demonstration that recognizes CDcovers from a database of 40000 images of popular music CD's. The scheme
Progressive Meshes
"... Highly detailed geometric models are rapidly becoming commonplace in computer graphics. These models, often represented as complex triangle meshes, challenge rendering performance, transmission bandwidth, and storage capacities. This paper introduces the progressive mesh (PM) representation, a new s ..."
Abstract

Cited by 1322 (11 self)
 Add to MetaCart
scheme for storing and transmitting arbitrary triangle meshes. This efficient, lossless, continuousresolution representation addresses several practical problems in graphics: smooth geomorphing of levelofdetail approximations, progressive transmission, mesh compression, and selective refinement
Results 1  10
of
232,099