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Graphs over Time: Densification Laws, Shrinking Diameters and Possible Explanations

by Jure Leskovec, Jon Kleinberg, Christos Faloutsos , 2005
"... How do real graphs evolve over time? What are “normal” growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large network, or in a very small number of snapshots; these include hea ..."
Abstract - Cited by 541 (48 self) - Add to MetaCart
, and we observe some surprising phenomena. First, most of these graphs densify over time, with the number of edges growing superlinearly in the number of nodes. Second, the average distance between nodes often shrinks over time, in contrast to the conventional wisdom that such distance parameters should

Locally weighted learning

by Christopher G. Atkeson, Andrew W. Moore , Stefan Schaal - ARTIFICIAL INTELLIGENCE REVIEW , 1997
"... This paper surveys locally weighted learning, a form of lazy learning and memorybased learning, and focuses on locally weighted linear regression. The survey discusses distance functions, smoothing parameters, weighting functions, local model structures, regularization of the estimates and bias, ass ..."
Abstract - Cited by 599 (51 self) - Add to MetaCart
This paper surveys locally weighted learning, a form of lazy learning and memorybased learning, and focuses on locally weighted linear regression. The survey discusses distance functions, smoothing parameters, weighting functions, local model structures, regularization of the estimates and bias

Property Testing and its connection to Learning and Approximation

by Oded Goldreich, Shafi Goldwasser, Dana Ron
"... We study the question of determining whether an unknown function has a particular property or is ffl-far from any function with that property. A property testing algorithm is given a sample of the value of the function on instances drawn according to some distribution, and possibly may query the fun ..."
Abstract - Cited by 475 (67 self) - Add to MetaCart
w.r.t the vertex set). Our graph property testing algorithms are probabilistic and make assertions which are correct with high probability, utilizing only poly(1=ffl) edge-queries into the graph, where ffl is the distance parameter. Moreover, the property testing algorithms can be used

The geometry of graphs and some of its algorithmic applications

by Nathan Linial, Eran London, Yuri Rabinovich - COMBINATORICA , 1995
"... In this paper we explore some implications of viewing graphs as geometric objects. This approach offers a new perspective on a number of graph-theoretic and algorithmic problems. There are several ways to model graphs geometrically and our main concern here is with geometric representations that res ..."
Abstract - Cited by 524 (19 self) - Add to MetaCart
that respect the metric of the (possibly weighted) graph. Given a graph G we map its vertices to a normed space in an attempt to (i) Keep down the dimension of the host space and (ii) Guarantee a small distortion, i.e., make sure that distances between vertices in G closely match the dis-tances between

Similarity of Color Images

by Markus Stricker, Markus Orengo , 1995
"... We describe two new color indexing techniques. The first one is a more robust version of the commonly used color histogram indexing. In the index we store the cumulative color histograms. The L 1 -, L 2 -, or L1 -distance between two cumulative color histograms can be used to define a similarity mea ..."
Abstract - Cited by 495 (2 self) - Add to MetaCart
We describe two new color indexing techniques. The first one is a more robust version of the commonly used color histogram indexing. In the index we store the cumulative color histograms. The L 1 -, L 2 -, or L1 -distance between two cumulative color histograms can be used to define a similarity

EXPANSION IN THE DISTANCE PARAMETER FOR TWO VORTICES CLOSE TOGETHER

by J. Burzlaff, E. Kellegher , 2000
"... Static vortices close together are studied for two different models in 2-dimensional Euclidean space. In a simple model for one complex field an expansion in the parameters describing the relative position of two vortices can be given in terms of trigonometric and exponential functions. The results ..."
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Static vortices close together are studied for two different models in 2-dimensional Euclidean space. In a simple model for one complex field an expansion in the parameters describing the relative position of two vortices can be given in terms of trigonometric and exponential functions. The results

Generating the Vertex Sets with some Distance Parameter Properties in Caterpillar Graphs

by Shreedevi V. Shindhe, Ishwar B, Marriswamy R , 2013
"... In this paper the vertices of caterpillar tree are viewed with different approach and categorized into the sets, and, based on the distance parameters i.e., diameter and radius. The distance parameters have been presented with some set theory views. Here is the set of diametral vertices, is the set ..."
Abstract - Add to MetaCart
In this paper the vertices of caterpillar tree are viewed with different approach and categorized into the sets, and, based on the distance parameters i.e., diameter and radius. The distance parameters have been presented with some set theory views. Here is the set of diametral vertices, is the set

Tracking multiple independent targets: Evidence for a parallel tracking mechanism

by Zenon W. Pylyshyn, Ron W. Storm - Spatial Vision , 1988
"... Abstract-There is considerable evidence that visual attention is concentrated at a single locus in the visual field, and that this locus can be moved independent of eye movements. Two studies are reported which suggest that, while certain aspects of attention require that locations\be scanned serial ..."
Abstract - Cited by 393 (23 self) - Add to MetaCart
;identical randomly-moving objects in order to distinguish a change in a target from a change in a distractor; and (b) when the speed and distance parameters of the display are designed so that, on the basis of some very conservative assumptions about the speed of attention movement and encoding times, the predicted

THERMODYNAMICS OF ADSORPTION AND GIBBSIAN DISTANCE PARAMETERS IN TWO- AND THREE-PHASE SYSTEMS

by Robert J. Good
"... Abstract—In a multicomponent, 2-phase system, the Gibbs dividing surfaces for the respective components are separated by characteristic distances, A, = 17/iXc5. (I) More generally, if b designates an arbitrary criterion defining a surface, e.g. F- = F-, and d designates another criterion, e.g. the ..."
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Abstract—In a multicomponent, 2-phase system, the Gibbs dividing surfaces for the respective components are separated by characteristic distances, A, = 17/iXc5. (I) More generally, if b designates an arbitrary criterion defining a surface, e.g. F- = F-, and d designates another criterion, e

Matching properties of MOS transistors

by Marcel J. M. Pelgrom, Aad C. J. Duinmaijer, Anton P. G. Welbers - IEEE J. Solid-State Circuits , 1989
"... Abstract-The matching properties of the threshold voltage, substrate factor, and current factor of MOS transistors have been analyzed and measured. Improvements to the existing theory are given, as well as extensions for long-distance matching and rotation of devices. Matching parameters of several ..."
Abstract - Cited by 361 (1 self) - Add to MetaCart
Abstract-The matching properties of the threshold voltage, substrate factor, and current factor of MOS transistors have been analyzed and measured. Improvements to the existing theory are given, as well as extensions for long-distance matching and rotation of devices. Matching parameters of several
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