Results 31 to 40 of about 1,115,323 (244)
Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold [PDF]
Mathematische Nachrichten, 2018 AbstractIt is known that on a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive densities that is invariant under the action of the diffeomorphism group, is of the form urn:x-wiley:0025584X:media:mana201600523:mana201600523-math-0001for some smooth functions of the total volume . Here we
Martins Bruveris, Peter W. Michor
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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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Cogent Engineering, 2020 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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Scalable Crackle‐Lithography for Multifunctional Enclosed Plastic Nanofluidic Devices
Advanced Science, EarlyView.Crackle‐lithography enables scalable fabrication of enclosed plastic‐substrate‐based nanofluidic devices with interconnected nanochannels that enable molecular transport, optical interrogation, confined electroless copper deposition, and ionic memristive behavior.
Tirumala Rao Dumpala +8 more
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Advanced Science, EarlyView.Guided by spatial transcriptomics and clinical validation, a threaded microneedle platform enables precise layer‐specific delivery across the dermis and subcutaneous tissue. By addressing distinct pathogenic remodeling in different skin layers, this strategy coordinates compartment‐specific intervention, restores tissue architecture, and offers a ...
Fangzhou Xie +14 more
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Advanced Science, EarlyView.Ocular hypertension induces early hyperactivity in inner retinal inhibitory circuitry before substantial retinal ganglion cell loss. Sustained pharmacological inhibition of GABAergic/glycinergic neurotransmission and Vgat‐targeted Lin28 expression suppress this hyperactivity and improve RGC survival without reducing intraocular pressure. These findings
Eunji Hong +7 more
wiley +1 more source
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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Channel-Aware Adaptive Quantization Method for Source Localization in Wireless Sensor Networks
International Journal of Distributed Sensor Networks, 2015 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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Sensors, 2016 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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Bayes Sensitivity with Fisher-Rao Metric
, 2014 We propose a geometric framework to assess sensitivity of Bayesian procedures to modeling assumptions based on the nonparametric Fisher-Rao metric. While the framework is general in spirit, the focus of this article is restricted to metric-based diagnosis under two settings: assessing local and global robustness in Bayesian procedures to perturbations ...
Kurtek, Sebastian, Bharath, Karthik
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