Results 21 to 30 of about 184 (111)
Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups
, 2021 16 pages, previous version (v1) is split into two parts, this is the first ...
Hamann, Matthias
openaire +3 more sources
Semimetric spaces : topological considerations
, 2020 info:eu-repo/semantics ...
Amaral, João Ferreira do
core +4 more sources
Journal of Mathematical SciencesThis paper advances a line of research in fixed point theory initiated by M. Bessenyei and Z. P\'ales, building on their introduction of the triangle function concept in [J. Nonlinear Convex Anal, Vol 18 (3), 515--524 (2017)]. By applying this concept, the study revises several well-known fixed point theorems in metric spaces, extending their ...
Ravindra K Bisht, Bisht Ravindra K
exaly +3 more sources
On Functions Preserving Products of Certain Classes of Semimetric Spaces [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In the paper, we continue the research of Borsík and Doboš on functions which allow us to introduce a metric to the product of metric spaces. We extend their scope to a broader class of spaces which usually fail to satisfy the triangle inequality, albeit they tend to satisfy some weaker form of this axiom.
Lichman, Mateusz +2 more
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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
openaire +2 more sources
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Affine Connection Representation of Gauge Fields
Advances in High Energy Physics, Volume 2022, Issue 1, 2022., 2022 There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection. Poincaré gauge theory and metric‐affine gauge theory adopt the first approach. This paper adopts the second.
Zhao-Hui Man, Sunny Vagnozzi
wiley +1 more source