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Comparison of vacuum static quadrupolar metrics [PDF]
Royal Society Open Science, 2018 We investigate the properties of static and axisymmetric vacuum solutions of Einstein equations which generalize the Schwarzschild spherically symmetric solution to include a quadrupole parameter.
Francisco Frutos-Alfaro +2 more
doaj +1 more source
Fantope Regularization in Metric Learning [PDF]
2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014 This paper introduces a regularization method to ex-plicitly control the rank of a learned symmetric positive semidefinite distance matrix in distance metric learning. To this end, we propose to incorporate in the objective function a linear regularization term that minimizes the k smallest eigenvalues of the distance matrix.
Law, Marc +2 more
openaire +2 more sources
Optimal metric regularity in general relativity follows from the RT-equations by elliptic regularity theory in $L^p$ -spaces [PDF]
, 2018 Shock wave solutions of the Einstein equations are constructed in coordinates systems in which the gravitational metric is only Lipschitz continuous, but the connection $\Gamma$ and curvature $Riem(\Gamma)$ are both in $L^{\infty}$, the curvature being ...
Moritz Reintjes, B. Temple
semanticscholar +1 more source
Discovering space - Grounding spatial topology and metric regularity in a naive agent's sensorimotor experience [PDF]
Neural Networks, 2018 In line with the sensorimotor contingency theory, we investigate the problem of the perception of space from a fundamental sensorimotor perspective. Despite its pervasive nature in our perception of the world, the origin of the concept of space remains ...
Alban Laflaquière +3 more
semanticscholar +1 more source
Effects of temporally regular versus irregular distractors on goal-directed cognition and behavior
Scientific Reports, 2022 Human environments comprise plenty of task-irrelevant sensory inputs, which are potentially distracting. Auditory distractors often possess an inherent temporal structure.
Troby Ka-Yan Lui, Malte Wöstmann
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Higher-order regularity in local and nonlocal quantum gravity
European Physical Journal C: Particles and Fields, 2021 In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections.
Nicolò Burzillà +3 more
doaj +1 more source
Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
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Image Quality Assessment Using Regularity of Color Distribution
IEEE Access, 2016 To quantify the perceptual quality of the color image, a novel reduced-reference computational model is proposed in this paper. The proposed metric, named regularity of color distribution measure, is designed to measure the difference of the color ...
Delei Liu, Fuzhong Li, Houbing Song
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Kannan-Type Contractions on New Extended b-Metric Spaces
Journal of Function Spaces, 2021 This article is focused on the generalization of some fixed point theorems with Kannan-type contractions in the setting of new extended b-metric spaces. An idea of asymptotic regularity has been incorporated to achieve the new results. As an application,
Hassen Aydi +5 more
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Implicit Multifunction Theorems in Banach Spaces
Journal of Applied Mathematics, 2014 This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
doaj +1 more source