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Quantized Kernel Recursive Least Squares Algorithm

IEEE Transactions on Neural Networks and Learning Systems, 2013
In a recent paper, we developed a novel quantized kernel least mean square algorithm, in which the input space is quantized (partitioned into smaller regions) and the network size is upper bounded by the quantization codebook size (number of the regions).
Badong, Chen   +3 more
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Recursive Least-Squares Algorithms

2011
Thanks to their fast convergence rate, recursive least-squares (RLS) algorithms are very popular in SAEC [1]. Indeed, it is well known that the convergence rate of RLS-type algorithms are not much affected by the nature of the input signal, even when this one is ill-conditioned.
Jacob Benesty   +3 more
openaire   +1 more source

Deep kernel recursive least-squares algorithm

Nonlinear Dynamics, 2021
We present a new kernel-based algorithm for modeling evenly distributed multidimensional datasets that does not rely on input space sparsification. The presented method reorganizes the typical single-layer kernel-based model into a deep hierarchical structure, such that the weights of a kernel model over each dimension are modeled over its adjacent ...
Hossein Mohamadipanah   +2 more
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Exactly initialized recursive least squares

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
In this paper, we present three order-recursive formulas for the Moore-Penrose pseudoinverses of matrices which are the improved and extended Greville formulas (1960). These new versions not only reduce almost half memory locations of Greville formula at each recursion, but also are very useful to derive recursive formulas for the optimization ...
null Jie Zhou   +3 more
openaire   +1 more source

Recursive Least Squares Spectrum Estimation

2006 IEEE International Symposium on Industrial Electronics, 2006
This paper presents a unifying basis of Fourier analysis/spectrum estimation and adaptive filters. It begins with the derivation of state-space recursive least squares with rectangular windowing (SSRLSRW). The topics covered are batch processing, recursive algorithm and initialization etc.
Mohammad Malik   +3 more
openaire   +1 more source

Recursive Incremental Least Squares Estimation Algorithm

IFAC Proceedings Volumes, 1995
Abstract A new recursive least squares estimation algorithm is proposed. The recursion is due to the fact that new estimates are computed from the estimates and internal signals computed in the previous sampling period plus incoming signals. Robustness is obtained by conditioning the estimates update to occur only in the presence of a minimal signal ...
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MODEL REDUCTION IN RECURSIVE LEAST SQUARES IDENTIFICATION

IFAC Proceedings Volumes, 1992
Abstract A method to reduce an overparameterized ARX model obtained through least squares identification is presented. The method needs only data directly or easily obtained during a recursive identification of the large model, thus making it well suited to be used in adaptive control.
M. Molander, P.E. Modén, K. Holmström
openaire   +1 more source

Linearly-Constrained Recursive Total Least-Squares Algorithm

IEEE Signal Processing Letters, 2012
We develop a new linearly-constrained recursive total least squares adaptive filtering algorithm by incorporating the linear constraints into the underlying total least squares problem using an approach similar to the method of weighting and searching for the solution (filter weights) along the input vector.
R. Arablouei, K. Dogancay
openaire   +2 more sources

Recursive least squares image reconstruction

Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256), 2001
A recursive least squares algorithm is formulated in the context of image reconstruction, using computed tomography (CT) as an example. Compared to traditional algebraic reconstruction techniques (ART), the new algorithm converges in as little as one iteration and has the ability to incorporate a priori information such as image smoothness.
openaire   +1 more source

Order-recursive underdetermined recursive least-squares adaptive algorithms

Signal Processing, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baykal, B., Constantinides, A. G.
openaire   +2 more sources

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