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Model Theory for Metric Structures
, 2006
"... 2. Metric structures and their signatures 4 3. Formulas and their interpretations 13 4. Model theoretic concepts 20 ..."
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2. Metric structures and their signatures 4 3. Formulas and their interpretations 13 4. Model theoretic concepts 20
A Metrics Suite for Object Oriented Design
 IEEE Trans. Softw. Eng
, 1994
"... Given the central role that software development plays in the delivery and application of information technology, managers are increasingly focusing on process improvement in the software development area. This demand has spurred the provision of a number of new and/or improved approaches to softwar ..."
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Cited by 1079 (3 self)
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to software development, with perhaps the most prominent being objectorientation (00). In addition, the focus on process improvement has increased the demand for software measures, or metrics with which to manage the process. The need for such metrics is particularly acute when an organization is adopting a
Distance Metric Learning, With Application To Clustering With SideInformation
 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 Kmeans initially fails to find one that is meaningful to a user, the only recourse may be for the us ..."
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Cited by 799 (14 self)
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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 Kmeans initially fails to find one that is meaningful to a user, the only recourse may
UNSTABLE CLASSES OF METRIC STRUCTURES
"... Abstract. We prove a strong nonstructure theorem for a class of metric structures with an unstable formula. As a consequence, we show that weak categoricity (that is, categoricity up to isomorphisms and not isometries) implies several weak versions of stability. This is the first step in the directi ..."
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Abstract. We prove a strong nonstructure theorem for a class of metric structures with an unstable formula. As a consequence, we show that weak categoricity (that is, categoricity up to isomorphisms and not isometries) implies several weak versions of stability. This is the first step
Musicians and the metric structure of words
 Journal of Cognitive Neuroscience
, 2011
"... ■ The present study aimed to examine the influence of musical expertise on the metric and semantic aspects of speech processing. In two attentional conditions (metric and semantic tasks), musicians listened to short sentences ending in trisyllabic words that were semantically and/or metrically co ..."
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Cited by 18 (6 self)
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of metric structure and its influence on word comprehension (N400 effect), as well as the reanalysis of metric violations (P600 and late positivities effects). By contrast, results showed that musical expertise did not influence the semantic level of processing. These results are discussed in terms
GENERIC SEPARABLE METRIC STRUCTURES
, 802
"... Abstract. We compare three notions of genericity of separable metric structures. Our analysis provides a general model theoretic technique of showing that structures are generic in descriptive set theoretic (topological) sense and in measure theoretic sense. In particular, it gives a new perspective ..."
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Cited by 3 (0 self)
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Abstract. We compare three notions of genericity of separable metric structures. Our analysis provides a general model theoretic technique of showing that structures are generic in descriptive set theoretic (topological) sense and in measure theoretic sense. In particular, it gives a new
MODEL THEORY FOR METRIC STRUCTURES
"... A metric structure is a manysorted structure with each sort a metric space, which for convenience is assumed to have finite diameter. Additionally there are functions (of several variables) between sorts, assumed to be uniformly continuous. Examples include metric spaces themselves, measure algebra ..."
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A metric structure is a manysorted structure with each sort a metric space, which for convenience is assumed to have finite diameter. Additionally there are functions (of several variables) between sorts, assumed to be uniformly continuous. Examples include metric spaces themselves, measure
Mtree: An Efficient Access Method for Similarity Search in Metric Spaces
, 1997
"... A new access meth d, called Mtree, is proposed to organize and search large data sets from a generic "metric space", i.e. whE4 object proximity is only defined by a distance function satisfyingth positivity, symmetry, and triangle inequality postulates. We detail algorith[ for insertion o ..."
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Cited by 652 (38 self)
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A new access meth d, called Mtree, is proposed to organize and search large data sets from a generic "metric space", i.e. whE4 object proximity is only defined by a distance function satisfyingth positivity, symmetry, and triangle inequality postulates. We detail algorith[ for insertion
FRAÏSSÉ LIMITS OF METRIC STRUCTURES
, 2013
"... Abstract. We develop Fraïssé theory, namely the theory of Fraïssé classes and Fraïssé limits, in the context of metric structures. We show that a class of finitely generated structures is Fraïssé if and only if it is the age of a separable approximately homogeneous structure, and conversely, that th ..."
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Cited by 1 (0 self)
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Abstract. We develop Fraïssé theory, namely the theory of Fraïssé classes and Fraïssé limits, in the context of metric structures. We show that a class of finitely generated structures is Fraïssé if and only if it is the age of a separable approximately homogeneous structure, and conversely
On the Metric Structure of SpaceTime∗
, 2010
"... I present an analysis of the physical assumptions needed to obtain the metric structure of spacetime. For this purpose I combine the axiomatic approach pioneered by Robb with ideas drawn from works on Weyl’s Raumproblem. The concept of a Lorentzian manifold is replaced by the weaker concept of an ..."
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I present an analysis of the physical assumptions needed to obtain the metric structure of spacetime. For this purpose I combine the axiomatic approach pioneered by Robb with ideas drawn from works on Weyl’s Raumproblem. The concept of a Lorentzian manifold is replaced by the weaker concept
Results 1  10
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695,998