Results 11 to 20 of about 377,650 (220)
AbstractThe point pair function $$p_G$$ p G defined in a domain $$G\subsetneq {\mathbb {R}}^n$$ G ⊊ R
Oona Rainio
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Inequalities between intrinsic metrics [PDF]
We introduce the “mth order Carathéodory-Reiffen metric,” the “mth order Bergman metric” and the “mth order modified Bergman metric” on M. Here M is a complex manifold which is ample in a suitable sense. These “metrics” are defined on T ( M ) T(M) and they are intrinsic. They arise as solutions of maximum
Jacob Burbea
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Approximate reasoning for real-time probabilistic processes [PDF]
We develop a pseudo-metric analogue of bisimulation for generalized semi-Markov processes. The kernel of this pseudo-metric corresponds to bisimulation; thus we have extended bisimulation for continuous-time probabilistic processes to a much broader ...
Vineet Gupta +2 more
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A Clarification on Quantum‐Metric‐Induced Nonlinear Transport [PDF]
Over the years, Berry curvature, which is associated with the imaginary part of the quantum geometric tensor, has profoundly impacted many branches of physics.
Xiao‐Bin Qiang +4 more
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Surface Simplification using Intrinsic Error Metrics [PDF]
This paper describes a method for fast simplification of surface meshes. Whereas past methods focus on visual appearance, our goal is to solve equations on the surface. Hence, rather than approximate the extrinsic geometry, we construct a coarse intrinsic triangulation of the input domain. In the spirit of the
Hsueh‐Ti Derek Liu +5 more
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Intrinsic Metric Learning With Subspace Representation [PDF]
The accuracy of classification and retrieval significantly depends on the metric used to compute the similarity between samples. For preserving the geometric structure, the symmetric positive definite (SPD) manifold is introduced into the metric learning
Lipeng Cai +4 more
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Intrinsically Hölder Sections in Metric Spaces
We introduce the notion of intrinsically Holder graphs in metric spaces that generalized the one of ¨ intrinsically Lipschitz sections. This concept is relevant because it has many properties similar to Holder maps but ¨ is profoundly different from them.
Daniela Di Donato
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An intrinsic metric for power spectral density functions [PDF]
We present an intrinsic metric that quantifies distances between power spectral density functions. The metric was derived by the author in a recent arXiv-report (math.OC/0607026) as the geodesic distance between spectral density functions with respect to
Georgiou, Tryphon T.
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The Intrinsic Metric of a Polytope [PDF]
John W. Tukey
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Intrinsic Metric on Graded Graphs, Standardness, and Invariant Measures [PDF]
We define a general notion of a smooth invariant (central) ergodic measure on the space of paths of an $N$-graded graph (Bratteli diagram). It is based on the notion of standardness of the tail filtration in the space of paths, and the smoothness criterion uses the so-called intrinsic metric which can be canonically defined on the set of vertices of ...
A. M. Vershik
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