Results 61 to 70 of about 65,125 (273)
Hausdorff dimension of wild fractals [PDF]
Transactions of the American Mathematical Society, 1992 We show that for every s ∈ [ n − 2 , n ] s \in [n - 2,n] there exists a homogeneously embedded wild Cantor set C s {C^s} in R n , n ≥ 3
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Advanced Intelligent Systems, EarlyView.This article introduces EndoARSS, a novel multitask learning framework that combines surgical activity recognition and semantic segmentation for endoscopic surgery. Utilizing the foundation model with novel modules like task efficient shared low‐rank adapters and spatially aware multiscale attention, EndoARSS can effectively tackle challenges in ...
Guankun Wang +5 more
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
International Journal of Mathematics and Mathematical Sciences, 2002 We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have ...
Hongwen Guo, Dihe Hu
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Effective dimension in some general metric spaces [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We introduce the concept of effective dimension for a general metric space. Effective dimension was defined by Lutz in (Lutz 2003) for Cantor space and has also been extended to Euclidean space.
Elvira Mayordomo
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Transfinite Hausdorff dimension
Topology and its Applications, 2009 AbstractMaking extensive use of small transfinite topological dimension trind, we ascribe to every metric space X an ordinal number (or −1 or Ω) tHD(X), and we call it the transfinite Hausdorff dimension of X. This ordinal number shares many common features with Hausdorff dimension.
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BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models
Advanced Intelligent Systems, EarlyView.This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan +7 more
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The μ-topological Hausdorff dimension
Extracta Mathematicae, 2019 In 2015, R. Balkaa, Z. Buczolich and M. Elekes introduced the topological Hausdorff dimension which is a combination of the definitions of the topological dimension and the Hausdorff dimension.
Hela Lofti
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Expansiveness, hyperbolicity and Hausdorff dimension [PDF]
Communications in Mathematical Physics, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Albert Fathi, Albert Fathi
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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