Results 11 to 20 of about 361,243 (290)
Intrinsic Metric Learning With Subspace Representation [PDF]
IEEE Access, 2019 The accuracy of classification and retrieval significantly depends on the metric used to compute the similarity between samples. For preserving the geometric structure, the symmetric positive definite (SPD) manifold is introduced into the metric learning
Lipeng Cai +4 more
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Inequalities Between Intrinsic Metrics [PDF]
Proceedings of the American Mathematical Society, 1977 We introduce the “mth order Carathéodory-Reiffen metric,” the “mth order Bergman metric” and the “mth order modified Bergman metric” on M. Here M is a complex manifold which is ample in a suitable sense. These “metrics” are defined on T ( M ) T(M) and they are intrinsic. They arise as solutions of maximum
Jacob Burbea
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An intrinsic metric for power spectral density functions [PDF]
IEEE Signal Processing Letters, 2006 We present an intrinsic metric that quantifies distances between power spectral density functions. The metric was derived by the author in a recent arXiv-report (math.OC/0607026) as the geodesic distance between spectral density functions with respect to
Georgiou, Tryphon T.
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Intrinsic Dimension Estimation for Discrete Metrics [PDF]
Physical Review Letters, 2023 Real world-datasets characterized by discrete features are ubiquitous: from categorical surveys to clinical questionnaires, from unweighted networks to DNA sequences. Nevertheless, the most common unsupervised dimensional reduction methods are designed for continuous spaces, and their use for discrete spaces can lead to errors and biases.
Iuri Macocco +3 more
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An Intrinsic Behavioral Approach to the Gap Metric [PDF]
SIAM Journal on Control and Optimization, 2008 An intrinsic trajectory level approach without any recourse to an algebraic structure of a representation is utilized to develop a behavioural approach to robust stability. In particular it is shown how the controllable behaviour can be constructed at the trajectory level via Zorn's Lemma, and this is utilized to study the controllable-autonomous ...
Wenming Bian +2 more
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An Intrinsic Metric for Parts [PDF]
Proceedings of the American Mathematical Society, 1967 H. S. Bear, Max Weiss
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Note on intrinsic metrics on graphs
Mathematische Nachrichten, 2023 AbstractWe study the set of intrinsic metrics on a given graph. This is a convex compact set and it carries a natural order. We investigate existence of largest elements with respect to this order. We show that the only locally finite graphs which admit a largest intrinsic metric are certain finite star graphs.
Daniel Lenz +2 more
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Intrinsic nonlinear conductivities induced by the quantum metric [PDF]
Physical Review B, 2023 The second-order nonlinear current originates from three physical mechanisms: extrinsic nonlinear Drude and Berry curvature dipole and intrinsic Berry connection polarizability. Here, we predict a new intrinsic contribution to the current related to the quantum metric, a quantum geometric property of the electronic wave function.
Kamal Das +4 more
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Introducing a New Intrinsic Metric [PDF]
Results in Mathematics, 2022 AbstractA new intrinsic metric called the t-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains $$G\subsetneq \mathbb {R}^n$$ G ⊊ R
Oona Rainio, Matti Vuorinen
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Intrinsic metrics under conformal and quasiregular mappings
Publicationes Mathematicae Debrecen, 2021 The distortion of six different intrinsic metrics and quasi-metrics under conformal and quasiregular mappings is studied in a few simple domains $G\subsetneq\mathbb{R}^n$. The already known inequalities between the hyperbolic metric and these intrinsic metrics for points $x,y$ in the unit ball $\mathbb{B}^n$ are improved by limiting the absolute values
Oona Rainio
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