The Radial Basis Functions — Partial Least Squares approach as a flexible non-linear regression technique
Analytica Chimica ActaPublished 1 September 1996
Beata Walczak, D.L. Massart
Citations196
SJR quartileQ1
SJR score1.00
SNIP1.12
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
A new approach founded on Radial Basis Functions (RBF) and Partial Least Squares (PLS) is proposed to model non-linear chemical systems. Its performance is demonstrated for two simulated examples and compared with those of Multilayer Feedforward Network (MLP), Radial Basis Function Network (RBFN), and Spline-PLS. Good performance and a guaranteed learning algorithm of the RBF-PLS approach makes it an attractive alternative for the earlier established methods.
Keywords
ChemistryComputer ScienceEngineering
Choice Reviews OnlineGenetic algorithms in search, optimization, and machine learning
49,278 Citations1989
This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
The MIT Press eBooksAdaptation in Natural and Artificial Systems
35,568 Citations1992John H. Holland
Initially applying his concepts to simply defined artificial systems with limited numbers of parameters, Holland goes on to explore their use in the study of a wide range of complex, naturally occuring processes, concentrating on systems having multiple factors that interact in nonlinear ways.
Journal of the Royal Statistical Society Series B (Statistical Methodology)Cross-Validatory Choice and Assessment of Statistical Predictions
10,527 Citations1974M. Stone
Neural ComputationFast Learning in Networks of Locally-Tuned Processing Units
4,219 Citations1989John Moody, Christian J. Darken
This work proposes a network architecture which uses a single internal layer of locally-tuned processing units to learn both classification tasks and real-valued function approximations (Moody and Darken 1988).
Complex SystemsRadial Basis Functions, Multi-Variable Functional Interpolation and Adaptive Networks
3,439 Citations1988David S. Broomhead, David Lowe
The relationship between 'learning' in adaptive layered networks and the fitting of data with high dimensional surfaces is discussed, leading naturally to a picture of 'generalization in terms of interpolation between known data points and suggests a rational approach to the theory of such networks.
IEEE Transactions on Neural NetworksOrthogonal least squares learning algorithm for radial basis function networks
3,361 Citations1991Sheng Chen, C.F.N. Cowan +1 more
The authors propose an alternative learning procedure based on the orthogonal least-squares method, which provides a simple and efficient means for fitting radial basis function networks.
Analytica Chimica ActaNeural networks: A new method for solving chemical problems or just a passing phase?
582 Citations1991Jure Zupan, Johann Gasteiger
Applications in spectroscopy, potentiometry, structure/activity relationships, protein structure, process control and chemical reactivity are summarized and the back-propagation algorithm is focused on.
Medical Entomology and ZoologyNeural Networks for Chemists: An Introduction
561 Citations1993Jure Zupan, Johann Gasteiger
This self-study guide leads both students and professionals swiftly from introductory principles to practical application, and enables readers to apply neural networks to their problems, either with a commercial neural network package or with a self-made program.
Chemometrics and Intelligent Laboratory SystemsBackpropagation neural networks
347 Citations1993Barry J. Wythoff
This tutorial begins with a short history of neural network research, a review of chemical applications, and a clear and detailed introduction to the theory behind backpropagation neural networks, along with a discussion of practical issues facing developers.
Chemometrics and Intelligent Laboratory SystemsUnderstanding and using genetic algorithms Part 1. Concepts, properties and context
297 Citations1993C.B. Lucasius, G. Kateman
This tutorial consists of two parts which treat a variety of key issues concerning genetic algorithms, and elaborates on practical issues such as representation, configuration and hybridization with other techniques.
AIChE JournalWave‐net: a multiresolution, hierarchical neural network with localized learning
249 Citations1993Bhavik R. Bakshi, George Stephanopoulos
This article presents the mathematical framework for the development of Wave-Nets and discusses the various aspects of their practical implementation and presents two examples on the application; the prediction of a chaotic time-series, representing population dynamics, and the classification of experimental data for process fault diagnosis.
Journal of ChemometricsInteractive variable selection (IVS) for PLS. Part 1: Theory and algorithms
216 Citations1994Fredrick Lindgren, Paul Geladi +2 more
A modified PLS algorithm is introduced with the goal of achieving improved prediction ability, based on dimension‐wise selective reweighting of single elements in the PLS weight vector w that leads to rotation of the classical PLS solution.
Chemometrics and Intelligent Laboratory SystemsUnderstanding and using genetic algorithms Part 2. Representation, configuration and hybridization
168 Citations1994C.B. Lucasius, G. Kateman
A digested compilation of pragmatic concepts and commonly applied techniques concerning genetic algorithms to support the novice practitioner in choosing a representation, a configuration, and, possibly, a hybridization technique for the genetic algorithm applied to the problem of interest.
Chemometrics and Intelligent Laboratory SystemsUsing artificial neural networks for solving chemical problems
163 Citations1994J.R.M. Smits, W.J. Melssen +2 more
This tutorial focuses on the practical issues concerning applications of different types of neural networks, and it is seen that different neural networks are suited for different kinds of problems.
Neural NetworksOn radial basis function nets and kernel regression: Statistical consistency, convergence rates, and receptive field size
141 Citations1994Lei Xu, Adam Krzyżak +1 more
Computers & Chemical EngineeringForecasting and control using adaptive connectionist networks
123 Citations1990B. Erik Ydstie
This work investigates the feasibility of applying connectionist networks with hidden units to forecasting and process control and develops a particular approach which embeds input-output pairs in a state space using delay coordinates.
Phoneme classification experiments using radial basis functions
123 Citations1989Renals, Rohwer
The application of a radial basis functions network to a static speech pattern classification problem is described and recognition results compare well with those obtained using backpropagation and a vector-quantized hidden Markov model on the same problem.
Chemometrics and Intelligent Laboratory SystemsRobustness analysis of radial base function and multi-layered feed-forward neural network models
78 Citations1995E.P.P.A. Derks, M.S. Sánchez +1 more
A method is proposed to estimate the sensitivity of network outputs to the amplitude of random errors in the input space, sampled from known normal distributions to select a neural network model which optimally approximates the nonlinear relations between objects in input and output space.
Chemometrics and Intelligent Laboratory SystemsModern nonlinear regression methods
55 Citations1995Ildiko E. Frank
Chemometrics and Intelligent Laboratory SystemsNeural networks in analytical chemistry?
50 Citations1993G. Kateman
Validation and evaluation of neural networks in analytical chemistry should be very rigorous, as this is one way to create confidence in the new technique.
Control System Sensor Failure Detection via Networks of Localized Receptive Fields
23 Citations1990Sam Chuan Yao, Evanghelos Zafiriou
NeurocomputingOn the number and the distribution of RBF centers
15 Citations1995V.David Sánchez A
Two observations on the design of RBF networks are reported regarding their approximation capabilities: the influence of the number and the distribution of their centers.
NeurocomputingA nonlinear network model for continuous learning
15 Citations1991Petri A. Jokinen
The dynamically capacity allocating (DCA) network model is able to learn incrementally as more information becomes available and to avoid the spatially unselective forgetting of commonly used learning algorithms.
