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Neural Networks Training with Optimal Bounded Ellipsoid Algorithm
2007Compared to normal learning algorithms, for example backpropagation, the optimal bounded ellipsoid (OBE) algorithm has some better properties, such as faster convergence, since it has a similar structure as Kalman filter. OBE has some advantages over Kalman filter training, the noise is not required to be Guassian.
Jose de Jesus Rubio, Wen Yu
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Unifying past and recent developments in bounded ellipsoid processing
1993 IEEE International Symposium on Circuits and Systems, 2002A general class of optimal bounding ellipsoid (OBE) algorithms, including all methods published to date, is unified into a single framework called the unified OBE (UOBE) algorithm. Different instances of UOBE are distinguished by their weighting policies and the criteria for determining optimal weight values.
J.R. Deller, M. Nayeri
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State bounding with ellipsoidal set description of the uncertainty
International Journal of Control, 1996The paper presents recursive algorithms for state bounding, using ellipsoidal sets to describe the state uncertainties and to bound the process and observation noises. The algorithms optimize each stage of updating, according to the minimum-volume and minimum-trace criteria.
D. G. MAKSAROV, J. P. NORTON
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Explicit evaluation of Willis' bounds with ellipsoidal inclusions
International Journal of Engineering Science, 1992Abstract The integral involved in Willis' bounds is now explicitly evaluated when the two-point correlation function assumes the ellipsoidal symmetry, and, in terms of Eshelby's S- tensor and the moduli L 0 of the comparison material, it is found to be simply given by P 0 = S 0 L 0 −1 .
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Recurrent neural networks training with optimal bounded ellipsoid algorithm
2007 American Control Conference, 2007Compared to normal learning algorithms, for example backpropagation, the optimal bounded ellipsoid (OBE) algorithm has some better properties, such as faster convergence, since it has a similar structure as Kalman filter. OBE has some advantages over Kalman filter training, the noise is not required to be Guassian.
Jose de Jesus Rubio, Wen Yu
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International Multi-Conference on Systems, Signals & Devices, 2017
A. Moussa +5 more
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A. Moussa +5 more
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A New Nonlinear Set Membership Filter Based on Guaranteed Bounding Ellipsoid Algorithm
, 2013Bo Zhou +3 more
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A 'systolic array' formulation of the optimal bounding ellipsoid algorithm
IEEE Transactions on Acoustics Speech and Signal Processing, 1989J. Deller
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Implementing the optimal bounding ellipsoid algorithm on a fast processor
IEEE International Conference on Acoustics, Speech, and Signal Processing, 1989J. Deller, S. Odeh
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