Results 11 to 20 of about 16,886 (119)
Generative Models for Crystalline Materials. [PDF]
Adv MaterGenerative machine learning models are increasingly used in crystalline materials design. This review outlines major generative approaches and assesses their strengths and limitations. It also examines how generative models can be adapted to practical applications, discusses key experimental considerations for evaluating generated structures, and ...
Metni H +15 more
europepmc +2 more sources
Continuous families of isospectral metrics on simply connected manifolds
, 1998 We construct continuous families of Riemannian metrics on certain simply connected manifolds with the property that the resulting Riemannian manifolds are pairwise isospectral for the Laplace operator acting on functions.
Schueth, Dorothee
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Binary classification for imbalanced datasets using a novel metric method
Egyptian Informatics JournalThis work proposes a kernel amplification method with non-stationary characteristics for binary classification of non-noisy imbalanced datasets. Our methodology features two key innovations, including that a derived non-stationary kernel construction ...
Jian Zheng +3 more
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Some functionals on compact manifolds with boundary
, 2016 We analyze critical points of two functionals of Riemannian metrics on compact manifolds with boundary. These functionals are motivated by formulae of the mass functionals of asymptotically flat and asymptotically hyperbolic ...
Miao, Pengzi, Tam, Luen-Fai
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On the semi-Riemannian bumpy metric theorem
, 2009 We prove the semi-Riemannian bumpy metric theorem using equivariant variational genericity. The theorem states that, on a given compact manifold $M$, the set of semi-Riemannian metrics that admit only nondegenerate closed geodesics is generic relatively ...
Biliotti, Leonardo +2 more
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Epilepsia, EarlyView.Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan +15 more
wiley +1 more source
On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, EarlyView.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley +1 more source
Geodesics of Finsler Hayward black hole surrounded by quintessence
European Physical Journal C: Particles and FieldsThis research paper delves into examining the Hayward black hole structure surrounded by quintessence within the framework of Finsler geometry. Our focus centers on the Finsler metric tensor development for black holes.
B. R. Yashwanth +3 more
doaj +1 more source
Warped products with critical Riemannian metric
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1995 Let \((B,g)\) and \((F,\overline{g})\) be two Riemannian manifolds and let \(f\) be a positive smooth function on \(B\). Then the warped product manifold \(M = B \times_f F\) is defined by the Riemannian metric \(\widetilde {g} = \pi^*(g)+ (f\circ \pi)^2 \sigma^* (\overline{g})\), where \(\pi\) and \(\sigma\) are the projections of \(B \times F\) onto \
openaire +3 more sources
Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
, 2010 In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics.
Alekseevskiĭ +15 more
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