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Set-Membership filtering with incomplete observations

Information Sciences, 2020
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Yuan Wang   +4 more
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Convergence Properties of the Membership Set

Automatica, 1998
The authors study the convergence properties of the membership set for system identification in the presence of unknown but bounded noise. The system considered is a discrete-time scalar system of the form \[ y_i= \phi^\tau_i\theta+ v_i\quad (i= 1,\dots, N). \] The noise models considered are: Pointwise bound \[ {\mathcal V}_p(\varepsilon)= \Biggl\{v: \
Bai, Er-Wei   +2 more
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SET MEMBERSHIP ESTIMATION OF NONLINEAR REGRESSIONS

IFAC Proceedings Volumes, 2002
Abstract In this paper we propose a method, based on a Set Membership approach, for the estimation of nonlinear regressions models. At the contrary of most of the existing identification approaches, the method presented in this paper does not need any assumption about the functional form of the model to be identified, but uses only some prior ...
MILANESE, Mario, NOVARA, Carlo
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Polynomial-time membership comparable sets

Proceedings of IEEE 9th Annual Conference on Structure in Complexity Theory, 1995
Summary: This paper studies a notion called polynomial-time membership comparable sets. For a function \(g\), a set \(A\) is polynomial-time \(g\)-membership comparable if there is a polynomial-time computable function \(f\) such that for any \(x_1, \dots, x_m\) with \(m\geq g(\max \{|x_1|, \dots,|x_m|\})\), \(f\) outputs \(b\in \{ 0,1 \}^m\) such that
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Nonlinear Set Membership prediction of river flow

Systems & Control Letters, 2003
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MILANESE, Mario, NOVARA, Carlo
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Set Membership approximation of discontinuous NMPC laws

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
In this paper, the use of Set Membership (SM) approximation methods is investigated, in order to derive a fast implementation of discontinuous nonlinear model predictive control (NMPC) laws. It is shown that the knowledge of the discontinuities is needed in order to achieve an approximated controller with guaranteed and arbitrary small approximation ...
FAGIANO, LORENZO   +2 more
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Sets within sets: The influence of set membership on numerical estimates.

Journal of Experimental Psychology: Human Perception and Performance, 2014
Navigating the world requires attention to number; however, sets in real-world contexts are rarely homogeneous or presented in isolation, thus the task of determining what constitutes a relevant set for enumeration can be a difficult one. This contextual ambiguity increases the likelihood that irrelevant sets may bias our ability to accurately track ...
Sara, Cordes   +2 more
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Set-membership subband adaptive filters

2008 3rd International Symposium on Communications, Control and Signal Processing, 2008
In this paper, the concept of set-membership (SM) adaptive filtering is extended to the subband adaptive filters (SAFs) and a novel SM-SAF algorithm is presented. The proposed algorithm exhibits superior performance with significant reduction in the overall computational complexity compared with the ordinary SAF.
Mohammad Shams Esfand Abadi   +1 more
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Set-membership affine projection algorithm

IEEE Signal Processing Letters, 2001
This letter presents a new data selective adaptive filtering algorithm, the set-membership affine projection (SM-AP) algorithm. The algorithm generalizes the idea of the set-membership NLMS (SM-NLMS) algorithm to include constraint sets constructed from the past input and desired signal pairs.
S. Werner, P.S.R. Diniz
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Set-membership kernel adaptive algorithms

2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2017
Adaptive algorithms based on kernel structures have been a topic of significant research over the past few years. The main advantage is that they form a family of universal approximators, offering an elegant solution to problems with nonlinearities.
Andre Flores, Rodrigo C. de Lamare
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