AbstractWe use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannian submanifold
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifo...
This thesis is devoted to geometric methods in optimization, learning and neural networks. In many p...
Abstract. The importance of manifolds and Riemannian geometry is spreading to applied fields in whic...
AbstractWe use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannia...
We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, p...
peer reviewedWe consider two Riemannian geometries for the manifold M(p, m × n) of all m × n matric...
We prove a version of Warner's regularity and continuity properties for the sub-Riemannian exponenti...
Different methods are proposed and tested for transforming a non-linear differential system, and mor...
We dene the Newton iteration for solving the equation f(y) = 0, where f is a map from a Lie group to...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
AbstractIn this paper we develop a numerical method for computing higher order local approximations ...
Using more precise majorizing sequences than before [1], [8], and under the same computational cost,...
Optimization tasks are crucial in statistical machine learning. Recently, there has been great inter...
Abstract. The techniques and analysis presented in this paper provide new meth-ods to solve optimiza...
We prove the result stated in the title; it is equivalent to the existence of a regular point of th...
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifo...
This thesis is devoted to geometric methods in optimization, learning and neural networks. In many p...
Abstract. The importance of manifolds and Riemannian geometry is spreading to applied fields in whic...
AbstractWe use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannia...
We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, p...
peer reviewedWe consider two Riemannian geometries for the manifold M(p, m × n) of all m × n matric...
We prove a version of Warner's regularity and continuity properties for the sub-Riemannian exponenti...
Different methods are proposed and tested for transforming a non-linear differential system, and mor...
We dene the Newton iteration for solving the equation f(y) = 0, where f is a map from a Lie group to...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
AbstractIn this paper we develop a numerical method for computing higher order local approximations ...
Using more precise majorizing sequences than before [1], [8], and under the same computational cost,...
Optimization tasks are crucial in statistical machine learning. Recently, there has been great inter...
Abstract. The techniques and analysis presented in this paper provide new meth-ods to solve optimiza...
We prove the result stated in the title; it is equivalent to the existence of a regular point of th...
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifo...
This thesis is devoted to geometric methods in optimization, learning and neural networks. In many p...
Abstract. The importance of manifolds and Riemannian geometry is spreading to applied fields in whic...
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