Results 31 to 40 of about 944,515 (124)
How Interactions Affect Many-Body States Distinguishability: A Geometric Viewpoint
DynamicsWe investigate the information-geometric structure of a self-consistent second-virial approximation with the van der Waals form of the second virial coefficient, using the Fisher information as a generating potential.
Flavia Pennini, Angelo Plastino
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On Monotone Embedding in Information Geometry
Entropy, 2015 A paper was published (Harsha and Subrahamanian Moosath, 2014) in which the authors claimed to have discovered an extension to Amari's \(\alpha\)-geometry through a general monotone embedding function. It will be pointed out here that this so-called \((F,
Jun Zhang
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A shape distance based on the Fisher–Rao metric and its application for shapes clustering
, 2017 In the clustering of shapes, which is a longstanding challenge in the framework of geometric morphometrics and shape analysis, is crucial the selection and application of a suitable and appropriate measurement of distance among observations (i.e ...
De Sanctis, A +15 more
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Bayesian sensitivity analysis with the Fisher–Rao metric [PDF]
, 2015 We propose a geometric framework to assess sensitivity of Bayesian procedures to modelling assumptions based on the nonparametric Fisher–Rao metric. While the framework is general, the focus of this article is on assessing local and global robustness in ...
Kurtek, Sebastian, Bharath, Karthik
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Multidimensional Cost Geometry
AxiomsIn this paper, we study the geometric structure induced by the canonical reciprocal cost function and its natural n-dimensional extension. In logarithmic coordinates, the potential depends only on the linear combination S=α·t, and the associated Hessian ...
Jonathan Washburn +2 more
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MathematicsIn parametric statistics, it is well established that the canonical measures of estimator performance—such as bias, variance, and mean squared error—are inherently dependent on the parameterization of the model.
José Manuel Corcuera +1 more
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The Fisher-Rao geometry of CES distributions
, 2023 When dealing with a parametric statistical model, a Riemannian manifold can naturally appear by endowing the parameter space with the Fisher information metric.
Renaux, Alexandre +4 more
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An Interpolating Distance between Optimal Transport and Fisher-Rao
, 2010 International audienceThis paper defines a new transport metric over the space of non-negative measures. This metric interpolates between the quadratic Wasserstein and the Fisher-Rao metrics and generalizes optimal transport to measures with different ...
Chizat, Lenaic +3 more
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Information theoretic waveform design with applications to adaptive‐on‐transmit radar
IET Radar, Sonar & NavigationThe marginal Fisher information (MFI) metric is used to design waveforms for the sake of informationally optimal adaptive‐on‐transmit radar operation. A framework for MFI waveform design is developed and the Polyphase‐Coded FM (PCFM) waveform model is ...
Daniel B. Herr +2 more
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Information Geometry of Asymmetric Interaction Matrices
MathematicsAsymmetric interaction matrices encode the linear coupling structure and directed interaction patterns that arise in mathematical models of complex networks across ecology, finance, and machine learning, yet their geometric structure as points on a ...
TzeHoung Lee, Xue-Ming Yuan
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