An artificial neural network with one hidden layer of nodes, whose basis functions are drawn from a family of orthonormal wavelets, is developed. Wavelet networks or wave-nets are based on firm theoretical foundations...
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An artificial neural network with one hidden layer of nodes, whose basis functions are drawn from a family of orthonormal wavelets, is developed. Wavelet networks or wave-nets are based on firm theoretical foundations of functional analysis. The good localization characteristics of the basis functions, both in the input and frequency domains, allow hierarchical, multi-resolution learning of input-output maps from experimental data. Wave-nets allow explicit estimation of global and local prediction error-bounds, and thus lend themselves to a rigorous and transparent design of the network. Computational complexity arguments prove that the training and adaptation efficiency of wave-nets is at least an order of magnitude better than other networks. The mathematical framework for the development of wave-nets is presented and various aspects of their practical implementation are discussed. The problem of predicting a chaotic time-series is solved as an illustrative example.< >
Nonlinear principal component analysis is a novel technique for multivariate data analysis, similar to the well-known method of principal component analysis. NLPCA, like PCA, is used to identify and remove correlation...
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Nonlinear principal component analysis is a novel technique for multivariate data analysis, similar to the well-known method of principal component analysis. NLPCA, like PCA, is used to identify and remove correlations among problem variables as an aid to dimensionality reduction, visualization, and exploratory data analysis. While PCA identifies only linear correlations between variables, NLPCA uncovers both linear and nonlinear correlations, without restriction on the character of the nonlinearities present in the data. NLPCA operates by training a feedforward neural network to perform the identity mapping, where the network inputs are reproduced at the output layer. The network contains an internal "bottleneck" layer (containing fewer nodes than input or output layers), which forces the network to develop a compact representation of the input data, and two additional hidden layers. The NLPCA method is demonstrated using time-dependent, simulated batch reaction data. Results show that NLPCA successfully reduces dimensionality and produces a feature space map resembling the actual distribution of the underlying system parameters.
Feedforward neural networks trained by backpropagation have recently been applied to fault diagnosis problems. Backpropagation produces decision surfaces that effectively separate training examples of different classe...
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An analysis of the properties of qualitative differential equations involving feedback structures is presented. The topological interpretation of this theory serves as the basis for a simulator of qualitative differen...
An account of the application of neural networks for detecting and diagnosing faults during process transients in the presence of random measurement noise is presented The approach employs a feedforward neural network...
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An account of the application of neural networks for detecting and diagnosing faults during process transients in the presence of random measurement noise is presented The approach employs a feedforward neural network with backpropagation as the learning algorithm. Two representation techniques for capturing dynamic process trend data in the form of a timeseries as well as in the form of a moving average have been developed and used for training the network. Networks with various number of hidden units have been tested and compared with respect to their performance in recall and generalization. The time required for training increases substantially when the level of noise in the training data increases. Trained networks have excellent recall performance even in the presence of noise, in both steady state and dynamic processes. The networks are successful in diagnosing untrained, noisy single fault patterns in a large majority of the steady state and dynamic cases tested.
Recognition and interpretation of real-time process trends is the center-piece of the socalled intelligent controller, which recognizes faults, performance degradation, and scopes the problems associated with efficien...
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Recognition and interpretation of real-time process trends is the center-piece of the socalled intelligent controller, which recognizes faults, performance degradation, and scopes the problems associated with efficient disturbance rejection and process model/controller adaptation. In this paper we will show how a unifying symbolic representation of process trends leads to a systematic extraction of their temporal features and precise classification of trends. Such classification may proceed in a syntactic, semi-quantitative, or fully quantitative manner, depending on the characteristics of the problem being solved. Furthermore, we will argue that a multi-scale representation of process trends is essential in pattern recognition, and we will show how the unifying representation of trends allows for the decomposition of signals at various levels of abstraction.
The Model Integrated Diagnostic Analysis System (MIDAS) is a program for diagnosing abnormal transient conditions in chemical, refinery, and utility systems. MIDAS employs causal reasoning using an event model derived...
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The Model Integrated Diagnostic Analysis System (MIDAS) is a program for diagnosing abnormal transient conditions in chemical, refinery, and utility systems. MIDAS employs causal reasoning using an event model derived from piping and instrumentation diagrams, and from quantitative process models. Root causes typically considered are equipment degradation and failure, incorrect manual actions, and external disturbances. By prompt and accurate diagnosis of these conditions, MIDAS can reduce the risk of safety hazards, material wastage, and unnecessary *** paper extends and complements a previous report on MIDAS† by detailing the qualitative modeling techniques used in MIDAS, and presenting the results of a simulation case study. The modeling methodology employs a new result on qualitative modeling to help resolve ambiguity from feedback loops and locate apparent “non-local causality”. The event model allows MIDAS to exploit the sequence of malfunction propagation in its internal reasoning. The models include control system responses and MIDAS uses this knowledge to correctly identify malfunctions even when the primary symptoms are concealed by control system compensations. The reasoning methodology used to perform the diagnosis is process *** case study reported involves diagnosis of a reactor-heat exchange process with associated control systems, with 10 sensors and over 100 potential malfunctions. The results show that MIDAS includes in its hypothesis set the correct malfunction 98.9% of the time. Of the scenarios tested, 40% exhibited control system compensation, 20% exhibited inverse response, and over 30% included out-of-order events.
A formal methodology capable of transforming time-records of process variables into meaningful and explicit descriptions of process trends in real-time is presented in this paper. The representation is based on the fo...
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A formal methodology capable of transforming time-records of process variables into meaningful and explicit descriptions of process trends in real-time is presented in this paper. The representation is based on the formal definition of “temporal episodes,” which provide descriptions of trends by constructing “histories of episodes” making explicitly all the important “domain landmark values” specified by the user as well as the “geometric landmark values” generic to trends. Model inaccuracies are confined by establishing specific measures of information lost in the descriptions and keeping them below those of the process models. Despite the simplicity of the representation primitives, it is shown that the representation can provide complete, correct, robust and very compact models for process trend histories. In contrast to pure qualitative descriptions, the new representation contains sufficient quantitative information to allow for powerful inferences of the trends of the unmeasure variables.
Recent advances in artificial intelligence have changed the fundamental assumptions upon which the progress of computer-aided processengineering (modeling and methodologies) during the last 30 yr has been founded. Th...
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Recent advances in artificial intelligence have changed the fundamental assumptions upon which the progress of computer-aided processengineering (modeling and methodologies) during the last 30 yr has been founded. Thus, in certain instances, numerical computations today constitute inferior alternatives to qualitative and/or semi-quantitative models and procedures which can capture and utilize more broadly-based sources of knowledge. In this paper it will be shown how process development and design, as well as planning, scheduling, monitoring, analysis and control of process operations can benefit from improved knowledge-representation schemes and advanced reasoning control strategies. It will also be argued that the central challenge coming from research advances in artificial intelligence is "modeling the knowledge", i.e. modeling: (a) physical phenomena and the systems in which they occur;(b) information handling and processing systems;and (c) problem-solving strategies in design, operations and control. Thus, different strategies require different forms of declarative knowledge, and the success or failure of various design, planning, diagnostic and control systems depends on the extent of actively utilizable knowledge. Furthermore, this paper will outline the theoretical scope of important contributions from AI and what their impact has been and will be on the formulation and solution of processengineering problems.
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