Results 51 to 60 of about 6,713,503 (368)
No Fuss Distance Metric Learning Using Proxies [PDF]
IEEE International Conference on Computer Vision, 2017 We address the problem of distance metric learning (DML), defined as learning a distance consistent with a notion of semantic similarity. Traditionally, for this problem supervision is expressed in the form of sets of points that follow an ordinal ...
Yair Movshovitz-Attias +4 more
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Universal Journal of Mathematics and Applications, 2023 Multisets have many applications in a variety of fields today, including computer science, medicine, banking, engineering, information storage, and information analysis.
Ecemnur Mutlu, Ayşegül Çaksu Güler
doaj +1 more source
, 2007 This paper presents a comprehensive perspective of the metric of quantum states with a focus on the background independent metric structures. We also explore the possibilities of geometrical formulations of quantum mechanics beyond the quantum state ...
A. Shapere +18 more
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A generalized metric space and related fixed point theorems
, 2015 We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result ...
M. Jleli, B. Samet
semanticscholar +1 more source
Fixed Point Results for (ψ, ϕ)-Contractive Mapping in GF-Metric Space
Ratio MathematicaThe main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the class ...
Kapil Jain +2 more
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A metric space associated with probability space
International Journal of Mathematics and Mathematical Sciences, 1993 For a complete probability space (Ω,∑,P), the set of all complete sub-σ-algebras of ∑, S(∑), is given a natural metric and studied. The questions of when S(∑) is compact or connected are awswered and the important subset consisting of all continuous sub ...
Keith F. Taylor, Xikui Wang
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Extended rectangular fuzzy b-metric space with application
AIMS Mathematics, 2022 In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff.
Naeem Saleem +3 more
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Notices of the American Mathematical Society, 2020 This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
Bonk, Mario +4 more
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Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph
, 2015 In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces.
M. Alfuraidan, M. Khamsi
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Test Spaces for Metric Spaces [PDF]
Proceedings of the American Mathematical Society, 1959 Introduction. Let n be a positive integer, and let yn be a topological space with the following property: a topological space X has dimension Yn can be extended over X. Then we call yn a test space for dimension n. In a previous paper [10], we characterized test spaces for dimension n under the assumption that both X and yn were separable metric.
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