Neuronal tuning aligns dynamically with object and texture manifolds across the visual hierarchy. [PDF]
Wang B, Ponce CR.
europepmc +1 more source
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.
openaire +2 more sources
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
europepmc +1 more source
Leveraging Configuration Interaction Singles for Qualitative Descriptions of Ground and Excited States: State-Averaging, Linear-Response, and Spin-Projection. [PDF]
Tsuchimochi T, Mokhtar B.
europepmc +1 more source
Flows of Conformally Coclosed G 2 -Structures with Dilaton. [PDF]
Karigiannis S, Picard S, Suan C.
europepmc +1 more source
Semisupervised approach for dominant gene selection and classification. [PDF]
Rastogi R, Bhattarai Lamsal M.
europepmc +1 more source
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.
europepmc +1 more source
The topology of 3-dimensional Hessian manifolds
This paper investigates the global topology of three-dimensional Hessian manifolds. We prove that every compact, orientable Hessian 3-manifold is either the Hantzsche Wendt manifold or admits the structure of a Kahler mapping torus. This result highlights a deep and intrinsic relationship between Hessian and Kahler geometries. Furthermore, we provide a
openaire +2 more sources
Re-engineering the disordered mind: clinical experimentation, dynamical systems, and AI for personalized psychiatry. [PDF]
Kheirkhah M +7 more
europepmc +1 more source
Invariance Principle for Lifts of Geodesic Random Walks. [PDF]
Junné J, Redig F, Versendaal R.
europepmc +1 more source

