Results 31 to 40 of about 30,962 (265)
ECG Classification Based on Wasserstein Scalar Curvature
Entropy, 2022 Electrocardiograms (ECG) analysis is one of the most important ways to diagnose heart disease. This paper proposes an efficient ECG classification method based on Wasserstein scalar curvature to comprehend the connection between heart disease and the ...
Fupeng Sun +3 more
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Learning on dynamic statistical manifolds
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020 Hyperbolic balance laws with uncertain (random) parameters and inputs are ubiquitous in science and engineering. Quantification of uncertainty in predictions derived from such laws, and reduction of predictive uncertainty via data assimilation, remain an open challenge.
F. Boso, D. M. Tartakovsky
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MathematicsHierarchical clustering analysis (HCA) is a widely used unsupervised learning method. Limitations of HCA, however, include imposing an artificial hierarchy onto non-hierarchical data and fixed two-way mergers at every level.
Korey P. Wylie, Jason R. Tregellas
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A New Thermodynamics from Nuclei to Stars
Entropy, 2004 : Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble. Classically this is the manifold of all points in the N-body phase space with the given total energy.
Dieter H.E. Gross
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Tensor Balancing on Statistical Manifold
CoRR, 2017 We solve tensor balancing, rescaling an Nth order nonnegative tensor by multiplying N tensors of order N - 1 so that every fiber sums to one. This generalizes a fundamental process of matrix balancing used to compare matrices in a wide range of applications from biology to economics.
Mahito Sugiyama +2 more
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Similarity between a many-body quantum avalanche model and the ultrametric random matrix model
Physical Review ResearchIn the field of ergodicity-breaking phases, it has been recognized that quantum avalanches can destabilize many-body localization at a wide range of disorder strengths.
Jan Šuntajs +3 more
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Bulk-boundary correspondence between charged, anyonic strings and vortices
Journal of High Energy Physics, 2018 We discuss a unified framework of dealing with electrically charged, anyonic vortices in 2+1 dimensional spacetimes and extended, anyonic string-like vortices in one higher dimension.
Alexander Gußmann +2 more
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Remote Sensing, 2021 The classification of high-resolution (HR) synthetic aperture radar (SAR) images is of great importance for SAR scene interpretation and application. However, the presence of intricate spatial structural patterns and complex statistical nature makes SAR ...
Wenkai Liang +4 more
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FEBS Letters, EarlyView.Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante +10 more
wiley +1 more source
Advanced Manifold–Metric Pairs
MathematicsThis article presents a novel mathematical formalism for advanced manifold–metric pairs, enhancing the frameworks of geometry and topology. We construct various D-dimensional manifolds and their associated metric spaces using functional methods, with a ...
Pierros Ntelis
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