Results 11 to 20 of about 106 (96)
Completeness in semimetric spaces [PDF]
Pacific Journal of Mathematics, 1984 This interesting paper compares various forms of completeness in semimetric spaces in face of certain ''continuity properties'' of distance functions. Two such properties are developability: lim d(x\({}_ n,p)=\lim d(y_ n,p)=0\) implies lim d(x\({}_ n,y_ n)=0\), and 1- continuity: for any q, lim d(x\({}_ n,p)=0\) implies lim d(x\({}_ n,q)=d(p,q)\).
Galvin, Fred, Shore, S. D.
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Contingency Space: A Semimetric Space for Classification Evaluation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023 In Machine Learning, a supervised model's performance is measured using the evaluation metrics. In this study, we first present our motivation by revisiting the major limitations of these metrics, namely one-dimensionality, lack of context, lack of intuitiveness, uncomparability, binary restriction, and uncustomizability of metrics.
Azim Ahmadzadeh +3 more
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Multivariate functional data clustering using adaptive density peak detection
Statistics in Medicine, Volume 42, Issue 10, Page 1565-1582, 10 May 2023., 2023 Clustering for multivariate functional data is a challenging problem since the data are represented by a set of curves and functions belonging to an infinite‐dimensional space. In this article, we propose a novel clustering method for multivariate functional data using an adaptive density peak detection technique.
Rui Ren +3 more
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Axioms, 2022 Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions.
Hsien-Chung Wu
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Stability of Set Differential Equations in Fréchet Spaces
Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 In this paper, we investigate the stability of set differential equations in Fréchet space F. Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space F is a projective limit of Banach spaces.
Junyan Bao +3 more
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Axioms, 2021 This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are
Hsien-Chung Wu
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Generalized fractals in semimetric spaces
Nonlinear Analysis, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bessenyei, Mihály, Pénzes, Evelin
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Forged Video Detection Using Deep Learning: A SLR
Applied Computational Intelligence and Soft Computing, Volume 2023, Issue 1, 2023., 2023 In today’s digital landscape, video and image data have emerged as pivotal and widely adopted means of communication. They serve not only as a ubiquitous mode of conveying information but also as indispensable evidential and substantiating elements across diverse domains, encompassing law enforcement, forensic investigations, media, and numerous others.
Maryam Munawar +4 more
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On quasisymmetric mappings in semimetric spaces
Annales Fennici Mathematici, 2022 The class of quasisymmetric mappings on the real axis was first introduced by Beurling and Ahlfors in 1956. In 1980 Tukia and Väisälä considered these mappings between general metric spaces. In our paper we generalize the concept of a quasisymmetric mapping to the case of general semimetric spaces and study some properties of these mappings.
Petrov, Evgeniy, Salimov, Ruslan
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This study investigates the estimation of the regression function using the kernel method in the presence of missing at random responses, assuming spatial dependence, and complete observation of the functional regressor. We construct the asymptotic properties of the established estimator and derive the probability convergence (with rates) as well as ...
Fatimah Alshahrani +5 more
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