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Tumor heterogeneity is a crucial area of cancer research wherein inter- and intra-tumor differences are investigated to assess and monitor disease development and progression, especially in cancer. The proliferation of imaging and linked genomic data has
Abhijoy Saha +9 more
doaj +1 more source
The $L^p$-Fisher-Rao metric and Amari-Cencov $\alpha$-connections [PDF]
We introduce a family of Finsler metrics, called the $L^p$-Fisher-Rao metrics $F_p$, for $p\in (1,\infty)$, which generalizes the classical Fisher-Rao metric $F_2$, both on the space of densities Dens$_+(M)$ and probability densities Prob$(M)$.
Brigant, Alice Le +3 more
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A JKO SPLITTING SCHEME FOR KANTOROVICH-FISHER-RAO GRADIENT FLOWS
International audienceIn this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric , recently introduced and defined on the space of positive Radon measure with ...
Monsaingeon, Leonard, Gallouët, Thomas
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A Fisher-Rao Metric for curves using the information in edges [PDF]
Two curves which are close together in an image are indistinguishable given a measurement, in that there is no compelling reason to associate the measurement with one curve rather than the other. This observation is made quantitative using the parametric
Maybank, Stephen J.
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Intrinsic Losses Based on Information Geometry and Their Applications
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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The purpose of this article is the development and application of discrete differential geometry methods for digital image analysis within the framework of Topological Data Analysis (TDA). The proposed approach consists of two stages.
Lyailya Karimova +3 more
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Channel-Aware Adaptive Quantization Method for Source Localization in Wireless Sensor Networks
This paper considers the problem of source localization using quantized observations in wireless sensor networks where, due to bandwidth constraint, each sensor's observation is usually quantized into one bit of information.
Guiyun Liu +4 more
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This paper investigates the joint target parameter (delay and Doppler) estimation performance of linear frequency modulation (LFM)-based radar networks in a Rice fading environment.
Chenguang Shi +3 more
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Cramér-Rao Bound for Hybrid GNSS-Terrestrial Cooperative Positioning [PDF]
In this contribution we derive an expression of the Cramer-Rao bound for hybrid cooperative positioning, where GNSS information is combined with terrestrial range measurements through exchange of peer-to-peer messages. These results provide a theoretical
Penna, Federico, +11 more
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Fisher-Rao geometry of Dirichlet distributions
International audienceIn this paper, we study the geometry induced by the Fisher-Rao metric on the parameter space of Dirichlet distributions. We show that this space is geodesically complete and has everywhere negative sectional curvature.
Puechmorel, Stéphane +2 more
core +1 more source

