2017
DOI: 10.1016/j.chemolab.2017.01.021
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LDA vs. QDA for FT-MIR prostate cancer tissue classification

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Cited by 63 publications
(32 citation statements)
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“…Usually, the first LDA factor is used to visualise the main biochemical alterations within the sample on a 1-D scores plot. The optimum number of variables for SPA-LDA and GA-LDA was determined by the minimum cost function G calculated for a given validation dataset as:where N V is the number of validation samples and g n is defined as:in which r 2 ( x n ,  m I ( n ) ) is the squared Mahalanobis distance between object x n (of class index I ( n )) and the centre of its true class ( m I ( n ) ), and r 2 ( x n ,  m I ( m ) ) is the squared Mahalanobis distance between object x n and the centre of the closest wrong class ( m I ( m ) ) [36]. …”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Usually, the first LDA factor is used to visualise the main biochemical alterations within the sample on a 1-D scores plot. The optimum number of variables for SPA-LDA and GA-LDA was determined by the minimum cost function G calculated for a given validation dataset as:where N V is the number of validation samples and g n is defined as:in which r 2 ( x n ,  m I ( n ) ) is the squared Mahalanobis distance between object x n (of class index I ( n )) and the centre of its true class ( m I ( n ) ), and r 2 ( x n ,  m I ( m ) ) is the squared Mahalanobis distance between object x n and the centre of the closest wrong class ( m I ( m ) ) [36]. …”
Section: Methodsmentioning
confidence: 99%
“…The quality metrics used in this study for evaluating the classification results can be calculated following the equations [36]:where FN is defined as false negative, FP as false positive, TP as true positive and TN as true negative.…”
Section: Methodsmentioning
confidence: 99%
“…The most used ones are the accuracy (total number of samples correct classified considering true and false negatives), sensitivity (proportion of positivies correctly identified) and specificity (proportion of negatives correctly identified) [1]. Additional figures of merit can also be estimated to confirm the predictive performance of a classification model, such as precision (classifier ability to avoid wrong predictions), F-score (overall performance of the model considering imbalanced data), G-score (overall performance of the model not accounting for class sizes), area under the curve (AUC) of receiver operating characteristic curves, positive and negative prediction values, positive and negative likelihood ratios, and Youden's index [1][2][3][4][5]. The latter three are more commonly used for biomedical applications, where the ratio of true and false positives and negatives are an important factor towards making clinical decisions.…”
Section: Introductionmentioning
confidence: 99%
“…In classification applications, samples are assigned to groups based on their IR spectrochemical signature. This includes, for example, differentiation of brain tumour types (3), identification of neurodegenerative diseases (4), cervical cancer screening (5), endometrial and ovarian cancer identification (6), identification of prostate cancer tissue samples (7), differentiation of endometrial tissue regions (8), toxicology screening (9,10), and microbiologic studies involving fungi and virus identification (11)(12)(13). However, before model construction, a fundamental step is to split the spectral dataset into at least two subsets: training and test.…”
Section: Introductionmentioning
confidence: 99%