Publications related to Nonparametric regression

Energy Conservation and State-Space Characterization of Adaptive Filter Performance

This article provides an overview of an energy-based approach to the study of the steady-state and transient performances of adaptive filters. The analysis employs energy-conservation arguments and is based on studying the energy flow through each iteratio ...

2002

Effects of dinoseb on the life cycle of Daphnia magna : modeling survival time and a proposal for an alternative to the no-observed-effect concentration

Joseph Tarradellas, Kristin Becker van Slooten, Renata Behra

Risk assessment is in urgent need of more accurate toxic effect endpoints than those currently in use, especially for low concentrations. Often such endpoints are estimated by analysis of variance, linear interpolation, or smoothing. As these statistical m ...

2002

Development of a two-term model for the confinement in ELMy H-modes using the global confinement and pedestal databases

Yves Martin

The overlap of pulses in the pedestal database and the global H-mode confinement database has been increased. This has resulted in a new improved combined dataset with core and pedestal energy data. Regression analysis of this dataset indicates that in ELM ...

2002

Computing the equivalent number of parameters of fixed-interval smoothers

Giancarlo Ferrari Trecate

The problem of reconstructing an unknown signal from n noisy samples can be addressed by means of non- parametric estimation techniques such as Tikhonov reg- ularization, Bayesian regression and state-space fixed- interval smoothing. The practical use of t ...

2001

Computing the equivalent number of parameters of fixed-interval smoothers

Giancarlo Ferrari Trecate

The problem of reconstructing an unknown signal from

n

noisy samples can be addressed by means of nonparametric estimation techniques such as Tikhonov regularization, Bayesian regression and state-space fixed-interval smoothing. The practical use of thes ...

2001

A Learning Algorithm for Piecewise Linear Regression

Giancarlo Ferrari Trecate

A new learning algorithm for solving piecewise linear regression problems is proposed. It is able to train a proper multilayer feedforward neural network so as to reconstruct a target function assuming a different linear behavior on each set of a polyhedra ...

Springer, London2001

NARX Models: Optimal Parametric Approximation of Nonparametric Estimators

Giancarlo Ferrari Trecate

Bayesian regression, a nonparametric identification technique with several appealing features, can be applied to the identification of NARX (nonlinear ARX) models. However, its computational complexity scales as

O(N^3)

where

N

is the data set size. In ...

2001

Consistent Sobolev Regression via Fuzzy Systems with Overlapping Concepts

Giancarlo Ferrari Trecate

In this paper we propose a new nonparametric regression algorithm based on Fuzzy systems with overlapping concepts. We analyze its consistency properties, showing that it is capable to reconstruct an infinite-dimensional class of function when the size of ...

2000

Fast spline smoothing via spectral factorization concepts

Giancarlo Ferrari Trecate

When tuning the smoothness parameter of nonparametric regression splines, the evaluation of the so-called degrees of freedom is one of the most computer-intensive tasks. In the paper, a closed-form expression of the degrees of freedom is obtained for the c ...

2000

An adaptive filter robust to data uncertainties

Ali H. Sayed

This paper considers the problem of adaptive filtering in the presence of uncertainties in the regression data. A recursive procedure is derived that is based on solving local optimization problems that attemps to alleviate the worst-case effect of data un ...

2000

Nonparametric regression

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Energy Conservation and State-Space Characterization of Adaptive Filter Performance

Effects of dinoseb on the life cycle of Daphnia magna : modeling survival time and a proposal for an alternative to the no-observed-effect concentration

Development of a two-term model for the confinement in ELMy H-modes using the global confinement and pedestal databases

Computing the equivalent number of parameters of fixed-interval smoothers

Computing the equivalent number of parameters of fixed-interval smoothers

A Learning Algorithm for Piecewise Linear Regression

NARX Models: Optimal Parametric Approximation of Nonparametric Estimators

Consistent Sobolev Regression via Fuzzy Systems with Overlapping Concepts

Fast spline smoothing via spectral factorization concepts

An adaptive filter robust to data uncertainties

Energy Conservation and State-Space Characterization of Adaptive Filter Performance

Fast spline smoothing via spectral factorization concepts

Development of a two-term model for the confinement in ELMy H-modes using the global confinement and pedestal databases

A Learning Algorithm for Piecewise Linear Regression

Computing the equivalent number of parameters of fixed-interval smoothers

NARX Models: Optimal Parametric Approximation of Nonparametric Estimators

Effects of dinoseb on the life cycle of Daphnia magna : modeling survival time and a proposal for an alternative to the no-observed-effect concentration

Consistent Sobolev Regression via Fuzzy Systems with Overlapping Concepts

An adaptive filter robust to data uncertainties

Computing the equivalent number of parameters of fixed-interval smoothers