Results 21 to 30 of about 5,105,361 (177)
How much can we extend the Assouad embedding theorem? [PDF]
Banach Center Publications, 2023 The celebrated Assouad embedding theorem has been known for over 40 years. It states that for any doubling metric space (with doubling constant $C_0$) there exists an integer $N$, such that for any $\alpha\in (0.5,1)$ there exists a positive constant $C(\
Filip Turobo's, O. Dovgoshey
semanticscholar +1 more source
Proximinal sets and connectedness in graphs [PDF]
Journal of Mathematical Sciences, 2023 Let G be a graph with a vertex set V . The graph G is path-proximinal if there is a semimetric d : V × V → [0, ∞[ and disjoint proximinal subsets of the semimetric space (V, d) such that V = A ∪ B. The vertices u, v ∈ V are adjacent iff duv⩽infdxy:x∈Ay∈B,
K. Chaira, O. Dovgoshey
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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
wiley +1 more source
A Class of Dissimilarity Semimetrics for Preference Relations [PDF]
Mathematics of Operations Research, 2022 We propose a class of semimetrics for acyclic preference relations, any one of which is an alternative to the classical Kemeny-Snell-Bogart metric. These semimetrics are based solely on the implications of preferences for choice behavior and thus appear ...
Hiroki Nishimura, Efe A. Ok
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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
wiley +1 more source
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
wiley +1 more source
Equivalence of distance-based and RKHS-based statistics in hypothesis testing [PDF]
arXiv.org, 2012 We provide a unifying framework linking two classes of statistics used in two-sample and independence testing: on the one hand, the energy distances and distance covariances from the statistics literature; on the other, maximum mean discrepancies (MMD ...
D. Sejdinovic +3 more
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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