17 research outputs found

    A Comprehensive Review of Techniques for Processing and Analyzing Fetal Heart Rate Signals

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    The availability of standardized guidelines regarding the use of electronic fetal monitoring (EFM) in clinical practice has not effectively helped to solve the main drawbacks of fetal heart rate (FHR) surveillance methodology, which still presents inter- and intra-observer variability as well as uncertainty in the classification of unreassuring or risky FHR recordings. Given the clinical relevance of the interpretation of FHR traces as well as the role of FHR as a marker of fetal wellbeing autonomous nervous system development, many different approaches for computerized processing and analysis of FHR patterns have been proposed in the literature. The objective of this review is to describe the techniques, methodologies, and algorithms proposed in this field so far, reporting their main achievements and discussing the value they brought to the scientific and clinical community. The review explores the following two main approaches to the processing and analysis of FHR signals: traditional (or linear) methodologies, namely, time and frequency domain analysis, and less conventional (or nonlinear) techniques. In this scenario, the emerging role and the opportunities offered by Artificial Intelligence tools, representing the future direction of EFM, are also discussed with a specific focus on the use of Artificial Neural Networks, whose application to the analysis of accelerations in FHR signals is also examined in a case study conducted by the authors

    Analysis of Dimensionality Reduction Techniques on Big Data

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    Due to digitization, a huge volume of data is being generated across several sectors such as healthcare, production, sales, IoT devices, Web, organizations. Machine learning algorithms are used to uncover patterns among the attributes of this data. Hence, they can be used to make predictions that can be used by medical practitioners and people at managerial level to make executive decisions. Not all the attributes in the datasets generated are important for training the machine learning algorithms. Some attributes might be irrelevant and some might not affect the outcome of the prediction. Ignoring or removing these irrelevant or less important attributes reduces the burden on machine learning algorithms. In this work two of the prominent dimensionality reduction techniques, Linear Discriminant Analysis (LDA) and Principal Component Analysis (PCA) are investigated on four popular Machine Learning (ML) algorithms, Decision Tree Induction, Support Vector Machine (SVM), Naive Bayes Classifier and Random Forest Classifier using publicly available Cardiotocography (CTG) dataset from University of California and Irvine Machine Learning Repository. The experimentation results prove that PCA outperforms LDA in all the measures. Also, the performance of the classifiers, Decision Tree, Random Forest examined is not affected much by using PCA and LDA.To further analyze the performance of PCA and LDA the eperimentation is carried out on Diabetic Retinopathy (DR) and Intrusion Detection System (IDS) datasets. Experimentation results prove that ML algorithms with PCA produce better results when dimensionality of the datasets is high. When dimensionality of datasets is low it is observed that the ML algorithms without dimensionality reduction yields better results

    Development of a Novel Dataset and Tools for Non-Invasive Fetal Electrocardiography Research

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    This PhD thesis presents the development of a novel open multi-modal dataset for advanced studies on fetal cardiological assessment, along with a set of signal processing tools for its exploitation. The Non-Invasive Fetal Electrocardiography (ECG) Analysis (NInFEA) dataset features multi-channel electrophysiological recordings characterized by high sampling frequency and digital resolution, maternal respiration signal, synchronized fetal trans-abdominal pulsed-wave Doppler (PWD) recordings and clinical annotations provided by expert clinicians at the time of the signal collection. To the best of our knowledge, there are no similar dataset available. The signal processing tools targeted both the PWD and the non-invasive fetal ECG, exploiting the recorded dataset. About the former, the study focuses on the processing aimed at the preparation of the signal for the automatic measurement of relevant morphological features, already adopted in the clinical practice for cardiac assessment. To this aim, a relevant step is the automatic identification of the complete and measurable cardiac cycles in the PWD videos: a rigorous methodology was deployed for the analysis of the different processing steps involved in the automatic delineation of the PWD envelope, then implementing different approaches for the supervised classification of the cardiac cycles, discriminating between complete and measurable vs. malformed or incomplete ones. Finally, preliminary measurement algorithms were also developed in order to extract clinically relevant parameters from the PWD. About the fetal ECG, this thesis concentrated on the systematic analysis of the adaptive filters performance for non-invasive fetal ECG extraction processing, identified as the reference tool throughout the thesis. Then, two studies are reported: one on the wavelet-based denoising of the extracted fetal ECG and another one on the fetal ECG quality assessment from the analysis of the raw abdominal recordings. Overall, the thesis represents an important milestone in the field, by promoting the open-data approach and introducing automated analysis tools that could be easily integrated in future medical devices

    Applications Of Machine Learning In Biology And Medicine

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    Machine learning as a field is defined to be the set of computational algorithms that improve their performance by assimilating data. As such, the field as a whole has found applications in many diverse disciplines from robotics and communication in engineering to economics and finance, and also biology and medicine. It should not come as a surprise that many popular methods in use today have completely different origins. Despite this heterogeneity, different methods can be divided into standard tasks, such as supervised, unsupervised, semi-supervised and reinforcement learning. Although machine learning as a field can be formalized as methods trying to solve certain standard tasks, applying these tasks on datasets from different fields comes with certain caveats, and sometimes is fraught with challenges. In this thesis, we develop general procedures and novel solutions, dealing with practical problems that arise when modeling biological and medical data. Cost sensitive learning is an important area of research in machine learning which addresses the widespread and practical problem of dealing with different costs during the learning and deployment of classification algorithms. In many applications such as credit fraud detection, network intrusion and specifically medical diagnosis domains, prior class distributions are highly skewed, which makes the training examples very much unbalanced. Combining this with uneven misclassification costs renders standard machine learning approaches useless in learning an acceptable decision function. We experimentally show the benefits and shortcomings of various methods that convert cost blind learning algorithms to cost sensitive ones. Using the results and best practices found for cost sensitive learning, we design and develop a machine learning approach to ontology mapping. Next, we present a novel approach to deal with uncertainty in classification when costs are unknown or otherwise hard to assign. Support Vector Machines (SVM) are considered to be among the most successful approaches for classification. However prediction of instances near the decision boundary depends more on the specific parameter selection or noise in data, rather than a clear difference in features. In many applications such as medical diagnosis, these regions should be labeled as uncertain rather than assigned to any particular class. Furthermore, instances may belong to novel disease subtypes that are not from any previously known class. In such applications, declining to make a prediction could be beneficial when more powerful but expensive tests are available. We develop a novel approach for optimal selection of the threshold and show its successful application on three biological and medical datasets. The last part of this thesis provides novel solutions for handling high dimensional data. Although high-dimensional data is ubiquitously found in many disciplines, current life science research almost always involves high-dimensional genomics/proteomics data. The ``omics\u27\u27 data provide a wealth of information and have changed the research landscape in biology and medicine. However, these data are plagued with noise, redundancy and collinearity, which makes the discovery process very difficult and costly. Any method that can accurately detect irrelevant and noisy variables in omics data would be highly valuable. We present Robust Feature Selection (RFS), a randomized feature selection approach dedicated to low-sample high-dimensional data. RFS combines an embedded feature selection method with a randomization procedure for stability. Recent advances in sparse recovery and estimation methods have provided efficient and asymptotically consistent feature selection algorithms. However, these methods lack finite sample error control due to instability. Furthermore, the chances of correct recovery diminish with more collinearity among features. To overcome these difficulties, RFS uses a randomization procedure to provide an accurate and stable feature selection method. We thoroughly evaluate RFS by comparing it to a number of popular univariate and multivariate feature selection methods and show marked prediction accuracy improvement of a diagnostic signature, while preserving a good stability

    Health monitoring of Gas turbine engines: Framework design and strategies

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    Characterization, Classification, and Genesis of Seismocardiographic Signals

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    Seismocardiographic (SCG) signals are the acoustic and vibration induced by cardiac activity measured non-invasively at the chest surface. These signals may offer a method for diagnosing and monitoring heart function. Successful classification of SCG signals in health and disease depends on accurate signal characterization and feature extraction. In this study, SCG signal features were extracted in the time, frequency, and time-frequency domains. Different methods for estimating time-frequency features of SCG were investigated. Results suggested that the polynomial chirplet transform outperformed wavelet and short time Fourier transforms. Many factors may contribute to increasing intrasubject SCG variability including subject posture and respiratory phase. In this study, the effect of respiration on SCG signal variability was investigated. Results suggested that SCG waveforms can vary with lung volume, respiratory flow direction, or a combination of these criteria. SCG events were classified into groups belonging to these different respiration phases using classifiers, including artificial neural networks, support vector machines, and random forest. Categorizing SCG events into different groups containing similar events allows more accurate estimation of SCG features. SCG feature points were also identified from simultaneous measurements of SCG and other well-known physiologic signals including electrocardiography, phonocardiography, and echocardiography. Future work may use this information to get more insights into the genesis of SCG

    Extraction and Detection of Fetal Electrocardiograms from Abdominal Recordings

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    The non-invasive fetal ECG (NIFECG), derived from abdominal surface electrodes, offers novel diagnostic possibilities for prenatal medicine. Despite its straightforward applicability, NIFECG signals are usually corrupted by many interfering sources. Most significantly, by the maternal ECG (MECG), whose amplitude usually exceeds that of the fetal ECG (FECG) by multiple times. The presence of additional noise sources (e.g. muscular/uterine noise, electrode motion, etc.) further affects the signal-to-noise ratio (SNR) of the FECG. These interfering sources, which typically show a strong non-stationary behavior, render the FECG extraction and fetal QRS (FQRS) detection demanding signal processing tasks. In this thesis, several of the challenges regarding NIFECG signal analysis were addressed. In order to improve NIFECG extraction, the dynamic model of a Kalman filter approach was extended, thus, providing a more adequate representation of the mixture of FECG, MECG, and noise. In addition, aiming at the FECG signal quality assessment, novel metrics were proposed and evaluated. Further, these quality metrics were applied in improving FQRS detection and fetal heart rate estimation based on an innovative evolutionary algorithm and Kalman filtering signal fusion, respectively. The elaborated methods were characterized in depth using both simulated and clinical data, produced throughout this thesis. To stress-test extraction algorithms under ideal circumstances, a comprehensive benchmark protocol was created and contributed to an extensively improved NIFECG simulation toolbox. The developed toolbox and a large simulated dataset were released under an open-source license, allowing researchers to compare results in a reproducible manner. Furthermore, to validate the developed approaches under more realistic and challenging situations, a clinical trial was performed in collaboration with the University Hospital of Leipzig. Aside from serving as a test set for the developed algorithms, the clinical trial enabled an exploratory research. This enables a better understanding about the pathophysiological variables and measurement setup configurations that lead to changes in the abdominal signal's SNR. With such broad scope, this dissertation addresses many of the current aspects of NIFECG analysis and provides future suggestions to establish NIFECG in clinical settings.:Abstract Acknowledgment Contents List of Figures List of Tables List of Abbreviations List of Symbols (1)Introduction 1.1)Background and Motivation 1.2)Aim of this Work 1.3)Dissertation Outline 1.4)Collaborators and Conflicts of Interest (2)Clinical Background 2.1)Physiology 2.1.1)Changes in the maternal circulatory system 2.1.2)Intrauterine structures and feto-maternal connection 2.1.3)Fetal growth and presentation 2.1.4)Fetal circulatory system 2.1.5)Fetal autonomic nervous system 2.1.6)Fetal heart activity and underlying factors 2.2)Pathology 2.2.1)Premature rupture of membrane 2.2.2)Intrauterine growth restriction 2.2.3)Fetal anemia 2.3)Interpretation of Fetal Heart Activity 2.3.1)Summary of clinical studies on FHR/FHRV 2.3.2)Summary of studies on heart conduction 2.4)Chapter Summary (3)Technical State of the Art 3.1)Prenatal Diagnostic and Measuring Technique 3.1.1)Fetal heart monitoring 3.1.2)Related metrics 3.2)Non-Invasive Fetal ECG Acquisition 3.2.1)Overview 3.2.2)Commercial equipment 3.2.3)Electrode configurations 3.2.4)Available NIFECG databases 3.2.5)Validity and usability of the non-invasive fetal ECG 3.3)Non-Invasive Fetal ECG Extraction Methods 3.3.1)Overview on the non-invasive fetal ECG extraction methods 3.3.2)Kalman filtering basics 3.3.3)Nonlinear Kalman filtering 3.3.4)Extended Kalman filter for FECG estimation 3.4)Fetal QRS Detection 3.4.1)Merging multichannel fetal QRS detections 3.4.2)Detection performance 3.5)Fetal Heart Rate Estimation 3.5.1)Preprocessing the fetal heart rate 3.5.2)Fetal heart rate statistics 3.6)Fetal ECG Morphological Analysis 3.7)Problem Description 3.8)Chapter Summary (4)Novel Approaches for Fetal ECG Analysis 4.1)Preliminary Considerations 4.2)Fetal ECG Extraction by means of Kalman Filtering 4.2.1)Optimized Gaussian approximation 4.2.2)Time-varying covariance matrices 4.2.3)Extended Kalman filter with unknown inputs 4.2.4)Filter calibration 4.3)Accurate Fetal QRS and Heart Rate Detection 4.3.1)Multichannel evolutionary QRS correction 4.3.2)Multichannel fetal heart rate estimation using Kalman filters 4.4)Chapter Summary (5)Data Material 5.1)Simulated Data 5.1.1)The FECG Synthetic Generator (FECGSYN) 5.1.2)The FECG Synthetic Database (FECGSYNDB) 5.2)Clinical Data 5.2.1)Clinical NIFECG recording 5.2.2)Scope and limitations of this study 5.2.3)Data annotation: signal quality and fetal amplitude 5.2.4)Data annotation: fetal QRS annotation 5.3)Chapter Summary (6)Results for Data Analysis 6.1)Simulated Data 6.1.1)Fetal QRS detection 6.1.2)Morphological analysis 6.2)Own Clinical Data 6.2.1)FQRS correction using the evolutionary algorithm 6.2.2)FHR correction by means of Kalman filtering (7)Discussion and Prospective 7.1)Data Availability 7.1.1)New measurement protocol 7.2)Signal Quality 7.3)Extraction Methods 7.4)FQRS and FHR Correction Algorithms (8)Conclusion References (A)Appendix A - Signal Quality Annotation (B)Appendix B - Fetal QRS Annotation (C)Appendix C - Data Recording GU

    Unsupervised Classification of Uterine Contractions Recorded Using Electrohysterography

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    Pregnancy still poses health risks that are not attended to by current clinical practice motorization procedures. Electrohysterography (EHG) record signals are analyzed in the course of this thesis as a contribution and effort to evaluate their suitability for pregnancy monitoring. The presented work is a contributes with an unsupervised classification solution for uterine contractile segments to FCT’s Uterine Explorer (UEX) project, which explores analysis procedures for EHG records. In a first part, applied processing procedures are presented and a brief exploration of the best practices for these. The procedures include those to elevate the representation of uterine events relevant characteristics, ease further computation requirements, extraction of contractile segments and spectral estimation. More detail is put into the study of which characteristics should be chosen to represent uterine events in the classification process and feature selection methods. To such end, it is presented the application of a principal component analysis (PCA) to three sets: interpolated contractile events, contractions power spectral densities, and to a number of computed features that attempt evidencing time, spectral and non-linear characteristics usually used in EHG related studies. Subsequently, a wrapper model approach is presented as a mean to optimize the feature set through cyclically attempting the removal and re-addition of features based on clustering results. This approach takes advantage of the fact that one class is known beforehand to use its classification accuracy as the criteria that defines whether the modification made to the feature set was ominous. Furthermore, this work also includes the implementation of a visualization tool that allows inspecting the effect of each processing procedure, the uterine events detected by different methods and clusters they were associated to by the final iteration of the wrapper model

    Accurate telemonitoring of Parkinson's disease symptom severity using nonlinear speech signal processing and statistical machine learning

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    This study focuses on the development of an objective, automated method to extract clinically useful information from sustained vowel phonations in the context of Parkinson’s disease (PD). The aim is twofold: (a) differentiate PD subjects from healthy controls, and (b) replicate the Unified Parkinson’s Disease Rating Scale (UPDRS) metric which provides a clinical impression of PD symptom severity. This metric spans the range 0 to 176, where 0 denotes a healthy person and 176 total disability. Currently, UPDRS assessment requires the physical presence of the subject in the clinic, is subjective relying on the clinical rater’s expertise, and logistically costly for national health systems. Hence, the practical frequency of symptom tracking is typically confined to once every several months, hindering recruitment for large-scale clinical trials and under-representing the true time scale of PD fluctuations. We develop a comprehensive framework to analyze speech signals by: (1) extracting novel, distinctive signal features, (2) using robust feature selection techniques to obtain a parsimonious subset of those features, and (3a) differentiating PD subjects from healthy controls, or (3b) determining UPDRS using powerful statistical machine learning tools. Towards this aim, we also investigate 10 existing fundamental frequency (F_0) estimation algorithms to determine the most useful algorithm for this application, and propose a novel ensemble F_0 estimation algorithm which leads to a 10% improvement in accuracy over the best individual approach. Moreover, we propose novel feature selection schemes which are shown to be very competitive against widely-used schemes which are more complex. We demonstrate that we can successfully differentiate PD subjects from healthy controls with 98.5% overall accuracy, and also provide rapid, objective, and remote replication of UPDRS assessment with clinically useful accuracy (approximately 2 UPDRS points from the clinicians’ estimates), using only simple, self-administered, and non-invasive speech tests. The findings of this study strongly support the use of speech signal analysis as an objective basis for practical clinical decision support tools in the context of PD assessment.EThOS - Electronic Theses Online ServiceGBUnited Kingdo

    On-line learning and anomaly detection methods : applications to fault assessment

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    [Abstract] This work lays at the intersection of two disciplines, Machine Learning (ML) research and predictive maintenance of machinery. On the one hand, Machine Learning aims at detecting patterns in data gathered from phenomena which can be very different in nature. On the other hand, predictive maintenance of industrial machinery is the discipline which, based on the measurement of physical conditions of its internal components, assesses its present and near future condition in order to prevent fatal failures. In this work it is highlighted that these two disciplines can benefit from their synergy. Predictive maintenance is a challenge for Machine Learning algorithms due to the nature of data generated by rotating machinery: (a) each machine constitutes an new individual case so fault data is not available for model construction and (b) working conditions of the machine are changeable in many situations and affects captured data. Machine Learning can help predictive maintenance to: (a) cut plant costs though the automation of tedious periodic tasks which are carried out by experts and (b) reduce the probability of fatal damages in machinery due to the possibility of monitoring it more frequently at a modest cost increase. General purpose ML techniques able to deal with the aforementioned conditions are proposed. Also, its application to the specific field of predictive maintenance of rotating machinery based on vibration signature analysis is thoroughly treated. Since only normal state data is available to model the vibration captures of a machine, we are restricted to the use of anomaly detection algorithms, which will be one of the main blocks of this work. In addition, predictive maintenance also aims at assessing its state in the near future. The second main block of this work, on-line learning algorithms, will help us in this task. A novel on-line learning algorithm for a single layer neural network with a non-linear output function is proposed. In addition to the application to predictive maintenance, the proposed algorithm is able to continuously train a network in a one pattern at a time manner. If some conditions are hold, it analytically ensures to reach a global optimal model. As well as predictive maintenance, the proposed on-line learning algorithm can be applied to scenarios of stream data learning such as big data sets, changing contexts and distributed data. Some of the principles described in this work were introduced in a commercial software prototype, GIDASR ? . This software was developed and installed in real plants as part of the work of this thesis. The experiences in applying ML to fault detection with this software are also described and prove that the proposed methodology can be very effective. Fault detection experiments with simulated and real vibration data are also carried out and demonstrate the performance of the proposed techniques when applied to the problem of predictive maintenance of rotating machinery.[Resumen] La presente tesis doctoral se sitúa en el ámbito de dos disciplinas, la investigación en Aprendizaje Computacional (AC) y el Mantenimiento Predictivo (MP) de maquinaria rotativa. Por una parte, el AC estudia la problemática de detectar y clasificar patrones en conjuntos de datos extraídos de fenómenos de interés de la más variada naturaleza. Por su parte, el MP es la disciplina que, basándose en la monitorización de variables físicas de los componentes internos de maquinaria industrial, se encarga de valorar las condiciones de éstos tanto en el momento presente como en un futuro próximo con el fin último de prevenir roturas que pueden resultar de fatales consecuencias. En este trabajo se pone de relevancia que ambas disciplinas pueden beneficiarse de su sinergia. El MP supone un reto para el AC debido a la naturaleza de los datos generados por la maquinaria: (a) las propiedades de las medidas físicas recogidas varían para cada máquina y, debido a que la monitorización debe comenzar en condiciones correctas, no contamos con datos de fallos para construir un modelo de comportamiento y (b) las condiciones de funcionamiento de las máquinas pueden ser variables y afectar a los datos generados por éstas. El AC puede ayudar al MP a: (a) reducir costes a través de la automatización de tareas periódicas tediosas que tienen que ser realizadas por expertos en el área y (b) reducir la probabilidad de grandes da˜nos a la maquinaria gracias a la posibilidad de monitorizarla con una mayor frecuencia sin elevar los costes sustancialmente. En este trabajo, se proponen algoritmos de AC de propósito general capaces de trabajar en las condiciones anteriores. Además, su aplicación específica al campo del mantenimiento predictivo de maquinaria rotativa basada en el análisis de vibraciones se estudia en detalle, aportando resultados para casos reales. El hecho de disponer sólamente de datos en condiciones de normalidad de la maquinaria nos restringe al uso de técnicas de detección de anomalías. éste será uno de los bloques principales del presente trabajo. Por otra parte, el MP también intenta valorar si la maquinaria se encontrará en un estado inaceptable en un futuro próximo. En el segundo bloque se presenta un nuevo algoritmo de aprendizaje en tiempo real (on-line) que será de gran ayuda en esta tarea. Se propone un nuevo algoritmo de aprendizaje on-line para una red neuronas monocapa con función de transferencia no lineal. Además de su aplicación al mantenimiento predictivo, el algoritmo propuesto puede ser empleado en otros escenarios de aprendizaje on-line como grandes conjuntos de datos, cambios de contexto o datos distribuidos. Algunas de las ideas descritas en este trabajo fueron implantadas en un prototipo de software comercial, GIDASR ? . Este software fue desarrollado e implantado en plantas reales por el autor de este trabajo y las experiencias extraídas de su aplicación también se describen en el presente volumen[Resumo] O presente traballo sitúase no ámbito de dúas disciplinas, a investigación en Aprendizaxe Computacional (AC) e o Mantemento Predictivo (MP) de maquinaria rotativa. Por unha banda, o AC estuda a problemática de detectar e clasificar patróns en conxuntos de datos extraídos de fenómenos de interese da máis variada natureza. Pola súa banda, o MP é a disciplina que, baseándose na monitorización de variables físicas dos seus compo˜nentes internos, encárgase de valorar as condicións destes tanto no momento presente como nun futuro próximo co fin último de previr roturas que poden resultar de fatais consecuencias. Neste traballo ponse de relevancia que ambas disciplinas poden beneficiarse da súa sinergia. O MP supón un reto para o AC debido á natureza dos datos xerados pola maquinaria: (a) as propiedades das medidas físicas recolleitas varían para cada máquina e, debido a que a monitorización debe comezar en condicións correctas, non contamos con datos de fallos para construír un modelo de comportamento e (b) as condicións de funcionamento das máquinas poden ser variables e afectar aos datos xerados por estas. O AC pode axudar ao MP a: (a) reducir custos a través da automatización de tarefas periódicas tediosas que te˜nen que ser realizadas por expertos no área e (b) reducir a probabilidade de grandes danos na maquinaria grazas á posibilidade de monitorizala cunha maior frecuencia sen elevar os custos sustancialmente. Neste traballo, propó˜nense algoritmos de AC de propósito xeral capaces de traballar nas condicións anteriores. Ademais, a súa aplicación específica ao campo do mantemento predictivo de maquinaria rotativa baseada na análise de vibracións estúdase en detalle aportando resultados para casos reais. Debido a contar só con datos en condicións de normalidade da maquinaria, estamos restrinxidos ao uso de técnicas de detección de anomalías. éste será un dos bloques principais do presente traballo. Por outra banda, o MP tamén intenta valorar si a maquinaria atoparase nun estado inaceptable nun futuro próximo. No segundo bloque do presente traballo preséntase un novo algoritmo de aprendizaxe en tempo real (on-line) que será de gran axuda nesta tarefa. Proponse un novo algoritmo de aprendizaxe on-line para unha rede neuronas monocapa con función de transferencia non lineal. Ademais da súa aplicación ao mantemento predictivo, o algoritmo proposto pode ser empregado en escenarios de aprendizaxe on-line como grandes conxuntos de datos, cambios de contexto ou datos distribuídos. Algunhas das ideas descritas neste traballo foron implantadas nun prototipo de software comercial, GIDASR ? . Este software foi desenvolvido e implantado en plantas reais polo autor deste traballo e as experiencias extraídas da súa aplicación tamén se describen no presente volume
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