Results 11 to 20 of about 2,976 (195)
From the Jordan Product to Riemannian Geometries on Classical and Quantum States
Entropy, 2020 The Jordan product on the self-adjoint part of a finite-dimensional C * -algebra A is shown to give rise to Riemannian metric tensors on suitable manifolds of states on A , and the covariant derivative, the geodesics, the Riemann tensor,
Florio M. Ciaglia +2 more
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On the Geodesic Distance in Shapes K-means Clustering
Entropy, 2018 In this paper, the problem of clustering rotationally invariant shapes is studied and a solution using Information Geometry tools is provided. Landmarks of a complex shape are defined as probability densities in a statistical manifold.
Stefano Antonio Gattone +3 more
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Information Geometry of Complex Hamiltonians and Exceptional Points
Entropy, 2013 Information geometry provides a tool to systematically investigate the parameter sensitivity of the state of a system. If a physical system is described by a linear combination of eigenstates of a complex (that is, non-Hermitian) Hamiltonian, then there ...
Dorje C. Brody, Eva-Maria Graefe
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Information Geometry in Roegenian Economics
Entropy, 2022 We characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors.
Constantin Udriste, Ionel Tevy
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NeuroImage: Clinical, 2016 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
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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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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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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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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
wiley +1 more source
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
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