Extraction of discriminant features in post-cardiosurgical intensive care units
A linear transformation, based on the Karhunen-Loève expansion, is applied to 13 physiological variables, measured in 200 surgical patients, in order to extract a limited number of features well representative of the differences between normal and high-risk classes of subjects. This transformation m...
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          | Published in | International journal of bio-medical computing Vol. 39; no. 3; pp. 349 - 358 | 
|---|---|
| Main Authors | , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
        Barking
          Elsevier B.V
    
        01.06.1995
     Applied Science Publishers  | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 0020-7101 | 
| DOI | 10.1016/0020-7101(95)01117-W | 
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| Abstract | A linear transformation, based on the Karhunen-Loève expansion, is applied to 13 physiological variables, measured in 200 surgical patients, in order to extract a limited number of features well representative of the differences between normal and high-risk classes of subjects. This transformation may be considered as a mapping from the primitive 13-dimensional space to a lower dimensional one, without severely reducing class separability. The efficacy of both transformed and primitive variables in the separation of normal and high-risk subjects is compared using the error probability, i.e. the probability that a patient is assigned to the wrong class. In particular, its upper bound is evaluated through the Kullback divergence and its estimate is computed, from the available samples, by applying a quadratic classifier. The results obtained show that only two transformed variables are able to present a divergence better than the most effective set of eight primitive variables. In agreement with the divergence criterion, the classifier provides a recognition error lower than 5% and greater than 13% when using the two best transformed and the two best primitive variables, respectively. Even though the new variables do not have a direct physiological meaning, this limitation has been partially overcome by calculating the correlation matrix between transformed and primitive variables. The results presented show that the first two transformed variables are strongly related to the most discriminant primitive ones (i.e. cardiac index, oxygen delivery and arterio-venous oxygen difference). In conclusion, the transformation of variables proposed appears to be extremely attractive for practical applications, since it allows recognition systems to be designed which exhibit both high performance and great simplicity. | 
    
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| AbstractList | A linear transformation, based on the Karhunen-Loève expansion, is applied to 13 physiological variables, measured in 200 surgical patients, in order to extract a limited number of features well representative of the differences between normal and high-risk classes of subjects. This transformation may be considered as a mapping from the primitive 13-dimensional space to a lower dimensional one, without severely reducing class separability. The efficacy of both transformed and primitive variables in the separation of normal and high-risk subjects is compared using the error probability, i.e. the probability that a patient is assigned to the wrong class. In particular, its upper bound is evaluated through the Kullback divergence and its estimate is computed, from the available samples, by applying a quadratic classifier. The results obtained show that only two transformed variables are able to present a divergence better than the most effective set of eight primitive variables. In agreement with the divergence criterion, the classifier provides a recognition error lower than 5% and greater than 13% when using the two best transformed and the two best primitive variables, respectively. Even though the new variables do not have a direct physiological meaning, this limitation has been partially overcome by calculating the correlation matrix between transformed and primitive variables. The results presented show that the first two transformed variables are strongly related to the most discriminant primitive ones (i.e. cardiac index, oxygen delivery and arterio-venous oxygen difference). In conclusion, the transformation of variables proposed appears to be extremely attractive for practical applications, since it allows recognition systems to be designed which exhibit both high performance and great simplicity. A linear transformation, based on the Karhunen-Loève expansion, is applied to 13 physiological variables, measured in 200 surgical patients, in order to extract a limited number of features well representative of the differences between normal and high-risk classes of subjects. This transformation may be considered as a mapping from the primitive 13-dimensional space to a lower dimensional one, without severely reducing class separability. The efficacy of both transformed and primitive variables in the separation of normal and high-risk subjects is compared using the error probability, i.e. the probability that a patient is assigned to the wrong class. In particular, its upper bound is evaluated through the Kullback divergence and its estimate is computed, from the available samples, by applying a quadratic classifier. The results obtained show that only two transformed variables are able to present a divergence better than the most effective set of eight primitive variables. In agreement with the divergence criterion, the classifier provides a recognition error lower than 5% and greater than 13% when using the two best transformed and the two best primitive variables, respectively. Even though the new variables do not have a direct physiological meaning, this limitation has been partially overcome by calculating the correlation matrix between transformed and primitive variables. The results presented show that the first two transformed variables are strongly related to the most discriminant primitive ones (i.e. cardiac index, oxygen delivery and arterio-venous oxygen difference). In conclusion, the transformation of variables proposed appears to be extremely attractive for practical applications, since it allows recognition systems to be designed which exhibit both high performance and great simplicity.A linear transformation, based on the Karhunen-Loève expansion, is applied to 13 physiological variables, measured in 200 surgical patients, in order to extract a limited number of features well representative of the differences between normal and high-risk classes of subjects. This transformation may be considered as a mapping from the primitive 13-dimensional space to a lower dimensional one, without severely reducing class separability. The efficacy of both transformed and primitive variables in the separation of normal and high-risk subjects is compared using the error probability, i.e. the probability that a patient is assigned to the wrong class. In particular, its upper bound is evaluated through the Kullback divergence and its estimate is computed, from the available samples, by applying a quadratic classifier. The results obtained show that only two transformed variables are able to present a divergence better than the most effective set of eight primitive variables. In agreement with the divergence criterion, the classifier provides a recognition error lower than 5% and greater than 13% when using the two best transformed and the two best primitive variables, respectively. Even though the new variables do not have a direct physiological meaning, this limitation has been partially overcome by calculating the correlation matrix between transformed and primitive variables. The results presented show that the first two transformed variables are strongly related to the most discriminant primitive ones (i.e. cardiac index, oxygen delivery and arterio-venous oxygen difference). In conclusion, the transformation of variables proposed appears to be extremely attractive for practical applications, since it allows recognition systems to be designed which exhibit both high performance and great simplicity.  | 
    
| Author | Artioli, E. Avanzolini, G. Gnudi, G.  | 
    
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| Keywords | Intensive care units Feature extraction Feature selection Class separability Heart surgery Classifier performance Coronary intensive care Prognosis Information extraction Classifier Biomedical data processing Analysis method Characteristics Surgery Linear transformation Risk factor Information processing Decision aid Cardiology Performance Biomedical engineering  | 
    
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| References | Ursino, Artioli, Avanzolini, Potuto (BIB5) 1994; 6 Pfeiffer (BIB15) 1985; 18 Maloney (BIB4) 1968; 168 Toussaint (BIB17) 1974; IT-20 Shoemaker, Chang, Bland (BIB8) 1979; 15 Kullback (BIB13) 1959 Kittler, Devijver (BIB18) 1982; PAMI-4 Shoemaker (BIB2) 1987; 10 Chiara, Giomarelli, Biagioli (BIB3) 1987; 15 Fukunaga, Koontz (BIB12) 1970; C-19 Fukunaga (BIB11) 1972 Van Lanschot, Feenstra, Vermeij, Bruining (BIB1) 1988; 14 Siegel, Greenspan, Del Guercio (BIB7) 1967; 165 Avanzolini, Barbini, Gnudi (BIB9) 1990; 25 Artioli, Avanzolini, Barbini, Gnudi (BIB10) 1991; 27 Marill, Green (BIB14) 1963; IT-9 Fukunaga, Kessel (BIB16) 1973; IT-19 Severinghaus (BIB6) 1966; 21 Van Lanschot (10.1016/0020-7101(95)01117-W_BIB1) 1988; 14 Ursino (10.1016/0020-7101(95)01117-W_BIB5) 1994; 6 Chiara (10.1016/0020-7101(95)01117-W_BIB3) 1987; 15 Fukunaga (10.1016/0020-7101(95)01117-W_BIB11) 1972 Toussaint (10.1016/0020-7101(95)01117-W_BIB17) 1974; IT-20 Marill (10.1016/0020-7101(95)01117-W_BIB14) 1963; IT-9 Avanzolini (10.1016/0020-7101(95)01117-W_BIB9) 1990; 25 Pfeiffer (10.1016/0020-7101(95)01117-W_BIB15) 1985; 18 Siegel (10.1016/0020-7101(95)01117-W_BIB7) 1967; 165 Shoemaker (10.1016/0020-7101(95)01117-W_BIB2) 1987; 10 Severinghaus (10.1016/0020-7101(95)01117-W_BIB6) 1966; 21 Shoemaker (10.1016/0020-7101(95)01117-W_BIB8) 1979; 15 Maloney (10.1016/0020-7101(95)01117-W_BIB4) 1968; 168 Fukunaga (10.1016/0020-7101(95)01117-W_BIB12) 1970; C-19 Kittler (10.1016/0020-7101(95)01117-W_BIB18) 1982; PAMI-4 Artioli (10.1016/0020-7101(95)01117-W_BIB10) 1991; 27 Kullback (10.1016/0020-7101(95)01117-W_BIB13) 1959 Fukunaga (10.1016/0020-7101(95)01117-W_BIB16) 1973; IT-19  | 
    
| References_xml | – start-page: 197 year: 1959 end-page: 200 ident: BIB13 publication-title: Information Theory and Statistics – volume: 15 start-page: 995 year: 1987 end-page: 1000 ident: BIB3 article-title: Hypermetabolic response after hypothermic cardiopulmonary bypass publication-title: Crit Care Med – volume: IT-19 start-page: 434 year: 1973 end-page: 440 ident: BIB16 article-title: Non-parametric Bayes error estimation using unclassified samples publication-title: IEEE Trans Inf Theory – volume: C-19 start-page: 311 year: 1970 end-page: 318 ident: BIB12 article-title: Application of the Karhunen-Loéve expansion to feature selection and ordering publication-title: IEEE Trans Comput – volume: 18 start-page: 46 year: 1985 end-page: 61 ident: BIB15 article-title: Stepwise variable selection and maximum likelihood estimation of smoothing factors of kernel functions for non-parametric discriminant functions evaluated by different criteria publication-title: Comput Biomed Res – volume: PAMI-4 start-page: 215 year: 1982 end-page: 220 ident: BIB18 article-title: Statistical properties of error estimators in performance assessment of recognition systems publication-title: IEEE Trans Patt Anal Mach Intell – volume: 14 start-page: 44 year: 1988 end-page: 49 ident: BIB1 article-title: Outcome prediction in critically ill patients by means of oxygen consumption index and simplified acute physiology score publication-title: Intensive Care Med – year: 1972 ident: BIB11 publication-title: Introduction to statistical pattern recognition – volume: 25 start-page: 207 year: 1990 end-page: 221 ident: BIB9 article-title: Unsupervised learning and discriminant analysis applied to identification of high risk postoperative cardiac patients publication-title: Int J Biomed Comput – volume: IT-20 start-page: 472 year: 1974 end-page: 479 ident: BIB17 article-title: Bibliography on estimation of misclassification publication-title: IEEE Trans Inf Theory – volume: 6 start-page: 229 year: 1994 end-page: 247 ident: BIB5 article-title: Integration of quantitative and qualitative reasoning: an expert system for cardiosurgical patients publication-title: Artif Intel Med – volume: 168 start-page: 605 year: 1968 end-page: 619 ident: BIB4 article-title: The trouble with patient monitoring publication-title: Ann Surg – volume: 21 start-page: 1108 year: 1966 end-page: 1116 ident: BIB6 article-title: Blood gas calculator publication-title: J Appl Physiol – volume: 10 start-page: 787 year: 1987 end-page: 794 ident: BIB2 article-title: Circulatory mechanisms of shock and their mediators publication-title: Crit Care Med – volume: 15 start-page: 243 year: 1979 end-page: 249 ident: BIB8 article-title: Cardiorespiratory monitoring in postoperative patients II. 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Quantitative therapeutic indices as guide to therapy publication-title: Crit Care Med doi: 10.1097/00003246-197905000-00007 – volume: IT-9 start-page: 11 year: 1963 ident: 10.1016/0020-7101(95)01117-W_BIB14 article-title: On the effectiveness of receptors in recognition systems publication-title: IEEE Trans Inf Theory doi: 10.1109/TIT.1963.1057810 – volume: 165 start-page: 504 year: 1967 ident: 10.1016/0020-7101(95)01117-W_BIB7 article-title: Abnormal vascular tone, defective oxygen transport and myocardial failure in human septic shock publication-title: Ann Surg doi: 10.1097/00000658-196704000-00002 – volume: 6 start-page: 229 year: 1994 ident: 10.1016/0020-7101(95)01117-W_BIB5 article-title: Integration of quantitative and qualitative reasoning: an expert system for cardiosurgical patients publication-title: Artif Intel Med doi: 10.1016/0933-3657(94)90064-7 – volume: 27 start-page: 201 year: 1991 ident: 10.1016/0020-7101(95)01117-W_BIB10 article-title: Variable selection for the classification of postoperative cardiac patients publication-title: Int J Biomed Comput doi: 10.1016/0020-7101(91)90063-K – start-page: 197 year: 1959 ident: 10.1016/0020-7101(95)01117-W_BIB13 – volume: 168 start-page: 605 year: 1968 ident: 10.1016/0020-7101(95)01117-W_BIB4 article-title: The trouble with patient monitoring publication-title: Ann Surg doi: 10.1097/00000658-196810000-00008 – volume: PAMI-4 start-page: 215 year: 1982 ident: 10.1016/0020-7101(95)01117-W_BIB18 article-title: Statistical properties of error estimators in performance assessment of recognition systems publication-title: IEEE Trans Patt Anal Mach Intell doi: 10.1109/TPAMI.1982.4767229 – volume: 15 start-page: 995 year: 1987 ident: 10.1016/0020-7101(95)01117-W_BIB3 article-title: Hypermetabolic response after hypothermic cardiopulmonary bypass publication-title: Crit Care Med doi: 10.1097/00003246-198711000-00001  | 
    
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| SubjectTerms | Algorithms Biological and medical sciences Cardiac Output Cardiac Surgical Procedures Class separability Classifier performance Computerized, statistical medical data processing and models in biomedicine Critical Care Data Interpretation, Statistical Discriminant Analysis Feature extraction Feature selection Heart surgery Humans Intensive care units Linear Models Medical management aid. Diagnosis aid Medical sciences Monitoring, Physiologic - classification Monitoring, Physiologic - statistics & numerical data Multivariate Analysis Oxygen - blood Oxygen Consumption Pattern Recognition, Automated Probability Risk Factors  | 
    
| Title | Extraction of discriminant features in post-cardiosurgical intensive care units | 
    
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