Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]
Fré PG, Sorin AS, Trigiante M.
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Geometry-preserving vector field reconstruction of high-dimensional cell-state dynamics using ddHodge. [PDF]
Maehara K, Ohkawa Y.
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Feature level quantitative ultrasound and CT information fusion to predict the outcome of head & neck cancer radiotherapy treatment: Enhanced principal component analysis. [PDF]
Moslemi A +4 more
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Hessian geometry and Frobenius manifolds with curvature
A Riemannian metric is called Hessian if, locally, it can be written as the Hessian of a function called the Hessian potential. A (flat) Manin-Frobenius manifold is a flat Riemannian manifold furnished with a commutative and associative product compatible with the metric, such that a certain potentiality property is satisfied.
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Neuronal tuning aligns dynamically with object and texture manifolds across the visual hierarchy. [PDF]
Wang B, Ponce CR.
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Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds. [PDF]
Georgiou A +3 more
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Leveraging Configuration Interaction Singles for Qualitative Descriptions of Ground and Excited States: State-Averaging, Linear-Response, and Spin-Projection. [PDF]
Tsuchimochi T, Mokhtar B.
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Flows of Conformally Coclosed G 2 -Structures with Dilaton. [PDF]
Karigiannis S, Picard S, Suan C.
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Re-engineering the disordered mind: clinical experimentation, dynamical systems, and AI for personalized psychiatry. [PDF]
Kheirkhah M +7 more
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Accurate and Affordable Vibrational Spectra of Large Molecules: Primary, Auxiliary, and Spectator Modes in a Perturb-then-Diagonalize Framework. [PDF]
Barone V, Lazzari F, Mendolicchio M.
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