Extended Hamiltonian Learning on Riemannian Manifolds: Numerical Aspects

  title={Extended Hamiltonian Learning on Riemannian Manifolds: Numerical Aspects},
  author={Simone G. O. Fiori},
  journal={IEEE Transactions on Neural Networks and Learning Systems},
This paper is the second part of a study initiated with the paper S. Fiori, “Extended Hamiltonian learning on Riemannian manifolds: Theoretical aspects,” IEEE Trans. Neural Netw., vol. 22, no. 5, pp. 687-700, May 2011, which aimed at introducing a general framework to develop a theory of learning on differentiable manifolds by extended Hamiltonian stationary-action principle. This paper discusses the numerical implementation of the extended Hamiltonian learning paradigm by making use of notions… CONTINUE READING
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Averaging over the Lie group of optical systems transference matrices

  • S. Fiori
  • Front . Electr . Electron . Eng . China
  • 2011

Absil,Riemannian BFGS algorithm with applications, Recent Advances in Optimization and its Applications in Engineering (M

  • C.-H. Qi, K. A. Gallivan, P.-A
  • Diehl et al., Ed.s),
  • 2010
2 Excerpts

Pai,Geometric Numerical integration of inequality constrained, nonsmooth Hamiltonian systems

  • D.K.D.M. Kaufman
  • 2010
1 Excerpt

Pivoting in Cayley tranform-based optimization on orthogonal groups

  • G. Hori, T. Tanaka
  • Proceedings of the Second APSIPA Annual Summit…
  • 2010
1 Excerpt

Thermal Hysteresis Characterization Through Blind Deconvolution

  • E.F.S. Filho, D. B. Haddad, L.A.L. de Almeida
  • Proceedings of the 17th International Conference…
  • 2010
1 Excerpt

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