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» On Unbiased Linear Approximations
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IEICET
2008
95views more  IEICET 2008»
13 years 7 months ago
Approximating the Best Linear Unbiased Estimator of Non-Gaussian Signals with Gaussian Noise
Obtaining the best linear unbiased estimator (BLUE) of noisy signals is a traditional but powerful approach to noise reduction. Explicitly computing the BLUE usually requires the ...
Masashi Sugiyama, Motoaki Kawanabe, Gilles Blancha...
ACISP
2010
Springer
13 years 9 months ago
On Unbiased Linear Approximations
Jonathan Etrog, Matthew J. B. Robshaw
AUTOMATICA
2007
89views more  AUTOMATICA 2007»
13 years 7 months ago
Unbiased minimum-variance input and state estimation for linear discrete-time systems
This paper addresses the problem of simultaneously estimating the state and the input of a linear discrete-time system. A recursive filter, optimal in the minimum-variance unbias...
Steven Gillijns, Bart De Moor
AUTOMATICA
2007
95views more  AUTOMATICA 2007»
13 years 7 months ago
Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough
This paper extends previous work on joint input and state estimation to systems with direct feedthrough of the unknown input to the output. Using linear minimum-variance unbiased ...
Steven Gillijns, Bart De Moor
ESANN
2003
13 years 8 months ago
Approximately unbiased estimation of conditional variance in heteroscedastic kernel ridge regression
In this paper we extend a form of kernel ridge regression for data characterised by a heteroscedastic noise process (introduced in Foxall et al. [1]) in order to provide approxima...
Gavin C. Cawley, Nicola L. C. Talbot, Robert J. Fo...