Intrinsic Properties of Finsler Space with a cubic change in Infinite Series Metric [PDF]
Journal of HyperstructuresIn this paper, we investigate a Finsler space characterized by a cubic changed infinite series metric given by F(γ, β)=β2/(β-γ_. We derive the fundamental tensors necessary to describe the geometric properties of this Finsler space.
Maphisha Nongsiej +2 more
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Efficient Information-Theoretic Large-Scale Semi-Supervised Metric Learning via Proxies
Applied Sciences, 2023 Semi-supervised metric learning intends to learn a distance function from the limited labeled data as well as a large amount of unlabeled data to better gauge the similarities of any two instances than using a general distance function.
Peng Chen, Huibing Wang
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Cumulative Dragging - An Intrinsic Characteristic of Stationary Axisymmetric Spacetime
, 1997 The Cumulative Drag Index defined recently by Prasanna has been generalised to include the centrifugal acceleration. We have studied the behaviour of the drag index for the Kerr metric and the Neugebauer-Meinel metric representing a self-gravitating ...
A.R. Prasanna +9 more
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Geodesics in Asymmetric Metric Spaces
Analysis and Geometry in Metric Spaces, 2014 In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces”
Mennucci Andrea C. G.
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Intrinsic Losses Based on Information Geometry and Their Applications
Entropy, 2017 One main interest of information geometry is to study the properties of statistical models that do not depend on the coordinate systems or model parametrization; thus, it may serve as an analytic tool for intrinsic inference in statistics. In this paper,
Yao Rong, Mengjiao Tang, Jie Zhou
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Etherington duality breaking: gravitational lensing in non-metric space–times versus intrinsic alignments [PDF]
, 2022 Eileen Sophie Giesel +2 more
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General relativity versus dark matter for rotating galaxies
European Physical Journal C: Particles and Fields, 2023 A very general class of axially symmetric metrics in general relativity (GR) that includes rotations is used to discuss the dynamics of rotationally supported galaxies.
Yogendra Srivastava +4 more
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On the metric operator for the imaginary cubic oscillator
, 2012 We show that the eigenvectors of the PT-symmetric imaginary cubic oscillator are complete, but do not form a Riesz basis. This results in the existence of a bounded metric operator having intrinsic singularity reflected in the inevitable unboundedness of
Krejcirik, David, Siegl, Petr
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Experimental Quantification of Hardware Requirements for FPGA-Based Reconfigurable PMUs
IEEE Access, 2019 Phasor Measurement Units (PMUs) are becoming intrinsic components of modern power systems. The synchrophasor estimation algorithms in PMUs pose stringent computational demands, which makes the application of Field Programmable Gate Arrays (FPGA) highly ...
Prottay M. Adhikari +2 more
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Univariate Linear Normal Models: Optimal Equivariant Estimation
MathematicsIn this paper, we establish the existence and uniqueness of the minimum intrinsic risk equivariant (MIRE) estimator for univariate linear normal models.
Gloria García +2 more
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