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On Bisectors for Different Distance Functions

by Christian Icking, Rolf Klein, Lihong Ma, Stefan Nickel, Ansgar Weißler - In Proc. 15th Annu. ACM Sympos. Comput. Geom , 1999
"... Let #C and #D be two convex distance functions in the plane with convex unit balls C and D. Given two points, p and q, we investigate the bisector, B(p, q), of p and q, where distance from p is measured by #C and distance from q by #D . We provide the following results. B(p, q) may consist of many c ..."
Abstract - Cited by 4 (3 self) - Add to MetaCart
Let #C and #D be two convex distance functions in the plane with convex unit balls C and D. Given two points, p and q, we investigate the bisector, B(p, q), of p and q, where distance from p is measured by #C and distance from q by #D . We provide the following results. B(p, q) may consist of many

Predicting Internet Network Distance with Coordinates-Based Approaches

by T. S. Eugene Ng, Hui Zhang - In INFOCOM , 2001
"... In this paper, we propose to use coordinates-based mechanisms in a peer-to-peer architecture to predict Internet network distance (i.e. round-trip propagation and transmission delay) . We study two mechanisms. The first is a previously proposed scheme, called the triangulated heuristic, which is bas ..."
Abstract - Cited by 633 (5 self) - Add to MetaCart
In this paper, we propose to use coordinates-based mechanisms in a peer-to-peer architecture to predict Internet network distance (i.e. round-trip propagation and transmission delay) . We study two mechanisms. The first is a previously proposed scheme, called the triangulated heuristic, which

Distance Metric Learning, With Application To Clustering With Side-Information

by Eric P. Xing, Andrew Y. Ng, Michael I. Jordan, Stuart Russell - ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 15 , 2003
"... Many algorithms rely critically on being given a good metric over their inputs. For instance, data can often be clustered in many "plausible" ways, and if a clustering algorithm such as K-means initially fails to find one that is meaningful to a user, the only recourse may be for the us ..."
Abstract - Cited by 799 (14 self) - Add to MetaCart
examples. In this paper, we present an algorithm that, given examples of similar (and, if desired, dissimilar) pairs of points in R , learns a distance metric over R that respects these relationships. Our method is based on posing metric learning as a convex optimization problem, which allows us

Distance Vector Multicast Routing Protocol

by D. Waitzman, C. Partridge, S. Deering - RFC 1075, BBN , 1988
"... This RFC describes a distance-vector-style routing protocol for routing multicast datagrams through an internet. It is derived from the Routing Information Protocol (RIP) [1], and implements multicasting as described in RFC-1054. This is an experimental protocol, and its implementation is not recomm ..."
Abstract - Cited by 477 (3 self) - Add to MetaCart
This RFC describes a distance-vector-style routing protocol for routing multicast datagrams through an internet. It is derived from the Routing Information Protocol (RIP) [1], and implements multicasting as described in RFC-1054. This is an experimental protocol, and its implementation

Comparing Images Using the Hausdorff Distance

by Daniel P. Huttenlocher, Gregory A. Klanderman, William J. Rucklidge - IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE , 1993
"... The Hausdorff distance measures the extent to which each point of a `model' set lies near some point of an `image' set and vice versa. Thus this distance can be used to determine the degree of resemblance between two objects that are superimposed on one another. In this paper we provide ef ..."
Abstract - Cited by 658 (10 self) - Add to MetaCart
(translation and rotation). The Hausdorff distance computation differs from many other shape comparison methods in that no correspondence between the model and the image is derived. The method is quite tolerant of small position errors as occur with edge detectors and other feature extraction methods. Moreover

Contrasting Different Distance Functions Using K-Means Algorithm

by Kanika Gargi Narula
"... Data mining is the process of semi-automatically analyzing large databases to find useful patterns where the Prediction based on past history. Some of the prediction mechanisms includes Classification, Regression, Clustering, and Association. Clustering is the classification of objects into differen ..."
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into different groups, or more precisely, the partitioning of a data set into subsets (clusters), so that the data in each subset (ideally) share some common trait- often according to some defined distance measure

SEAD: Secure Efficient Distance Vector Routing for Mobile Wireless Ad Hoc Networks

by Yih-Chun Hu, David B. Johnson, Adrian Perrig , 2003
"... An ad hoc network is a collection of wireless computers (nodes), communicating among themselves over possibly multihop paths, without the help of any infrastructure such as base stations or access points. Although many previous ad hoc network routing protocols have been based in part on distance vec ..."
Abstract - Cited by 522 (8 self) - Add to MetaCart
An ad hoc network is a collection of wireless computers (nodes), communicating among themselves over possibly multihop paths, without the help of any infrastructure such as base stations or access points. Although many previous ad hoc network routing protocols have been based in part on distance

Ad-hoc On-Demand Distance Vector Routing

by Charles E. Perkins, Elizabeth M. Royer - IN PROCEEDINGS OF THE 2ND IEEE WORKSHOP ON MOBILE COMPUTING SYSTEMS AND APPLICATIONS , 1997
"... An ad-hoc network is the cooperative engagement of a collection of mobile nodes without the required intervention of any centralized access point or existing infrastructure. In this paper we present Ad-hoc On Demand Distance Vector Routing (AODV), a novel algorithm for the operation of such ad-hoc n ..."
Abstract - Cited by 3167 (15 self) - Add to MetaCart
An ad-hoc network is the cooperative engagement of a collection of mobile nodes without the required intervention of any centralized access point or existing infrastructure. In this paper we present Ad-hoc On Demand Distance Vector Routing (AODV), a novel algorithm for the operation of such ad

The earth mover’s distance as a metric for image retrieval

by Yossi Rubner, Carlo Tomasi, Leonidas J. Guibas - International Journal of Computer Vision , 2000
"... 1 Introduction Multidimensional distributions are often used in computer vision to describe and summarize different features of an image. For example, the one-dimensional distribution of image intensities describes the overall brightness content of a gray-scale image, and a three-dimensional distrib ..."
Abstract - Cited by 706 (5 self) - Add to MetaCart
1 Introduction Multidimensional distributions are often used in computer vision to describe and summarize different features of an image. For example, the one-dimensional distribution of image intensities describes the overall brightness content of a gray-scale image, and a three

Distance metric learning for large margin nearest neighbor classification

by Kilian Q. Weinberger, John Blitzer, Lawrence K. Saul - In NIPS , 2006
"... We show how to learn a Mahanalobis distance metric for k-nearest neighbor (kNN) classification by semidefinite programming. The metric is trained with the goal that the k-nearest neighbors always belong to the same class while examples from different classes are separated by a large margin. On seven ..."
Abstract - Cited by 685 (15 self) - Add to MetaCart
We show how to learn a Mahanalobis distance metric for k-nearest neighbor (kNN) classification by semidefinite programming. The metric is trained with the goal that the k-nearest neighbors always belong to the same class while examples from different classes are separated by a large margin
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