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» Piecewise polynomial estimation of a regression function
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FOCM
2007
76views more  FOCM 2007»
13 years 5 months ago
Risk Bounds for Random Regression Graphs
We consider the regression problem and describe an algorithm approximating the regression function by estimators piecewise constant on the elements of an adaptive partition. The pa...
Andrea Caponnetto, Steve Smale
JAT
2002
62views more  JAT 2002»
13 years 5 months ago
Coconvex Approximation
Let f C[-1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials which are coconvex with i...
Dany Leviatan, Igor A. Shevchuk
CSDA
2007
105views more  CSDA 2007»
13 years 5 months ago
Calculation of simplicial depth estimators for polynomial regression with applications
A fast algorithm for calculating the simplicial depth of a single parameter vector of a polynomial regression model is derived. Additionally, an algorithm for calculating the para...
R. Wellmann, S. Katina, Ch. H. Müller
INFORMATICALT
2006
129views more  INFORMATICALT 2006»
13 years 5 months ago
On the Identification of Hammerstein Systems Having Saturation-like Functions with Positive Slopes
Abstract. The aim of the given paper is the development of an approach for parametric identification of Hammerstein systems with piecewise linear nonlinearities, i.e., when the sat...
Rimantas Pupeikis
ICASSP
2011
IEEE
12 years 9 months ago
A reversible jump MCMC algorithm for Bayesian curve fitting by using smooth transition regression models
This paper proposes a Bayesian algorithm to estimate the parameters of a smooth transition regression model. With in this model, time series are divided into segments and a linear...
Matthieu Sanquer, Florent Chatelain, Mabrouka El-G...