1,721,181 research outputs found
Gabriela Fiori, Simone Weil, Une femme absolue, éd. du Félin
No full textCollin Françoise. Gabriela Fiori, Simone Weil, Une femme absolue, éd. du Félin. In: Les Cahiers du GRIF, n°37-38, 1988. Le genre de l'histoire. p. 171
Computation of the Fréchet mean, variance and interpolation for a pool of neural networks over the manifold of special orthogonal matrices
No full textNonlinear damped oscillators on Riemannian manifolds: Numerical simulation
No full textNonlinear oscillators are ubiquitous in sciences, being able to model the behavior of com- plex nonlinear phenomena, as well as in engineering, being able to generate repeating (i.e., periodic) or non-repeating (i.e., chaotic) reference signals. The state of the classical oscillators known from the literature evolves in the space R^n , typically with n = 1 (e.g., the famous van der Pol vacuum-tube model), n = 2 (e.g., the FitzHugh–Nagumo model of spiking neurons) or n = 3 (e.g., the Lorenz simplified model of turbulence). The aim of the current paper is to present a general scheme for the numerical differential-geometry-based integration of a general second-order, nonlinear oscillator model on Riemannian manifolds and to present several instances of such model on manifolds of interest in sciences and engineering, such as the Stiefel manifold and the space of symmetric, positive-definite matrices
A Comprehensive Comparison of Algorithms for the Statistical Modeling of Non-Monotone Relationships via Isotonic Regression of Transformed Data
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