Convergence properties of gradient descent noise reduction

Physica D: Nonlinear Phenomena

Volumn 165, Issue 1-2, 2002, Pages 26-47

  Ridout, David ^a,b   Judd, Kevin ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Convergence properties; Gradient descent; Non linear noise reduction

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DYNAMICS; NOISE ABATEMENT; NUMERICAL ANALYSIS;

GRADIENT DESCENT;

SPURIOUS SIGNAL NOISE;

EID: 0036565749     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00376-7     Document Type: Article

References (25)

1. On axiom A diffeomorphisms
2. Noise reduction by gradient descent
3. Optimal shadowing and noise reduction
4. On noise reduction methods for chaotic data
5. Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
6. A noise reduction method for chaotic systems
7. Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system
8. Indistinguishable states. I. Perfect model scenario
9. Geometry in the neighbourhood of invariant manifolds of maps and flows and linearisation
10. Noise reduction in dynamical systems
11. Hartman's theorem for hyperbolic sets
12. Beneath the noise, chaos
13. Removing the noise from chaos plus noise
14. A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems
15. On a theorem of P. Hartman
16. Ergodic theory of differentiable dynamical systems
17. An extremely simple nonlinear noise reduction method
18. Accountability in ensemble prediction