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Towar d Automated Br east Histopathology   15


        robust metrics for tissue identification would be found in this region.
        In addition, the molecular origins for these metrics involve proteins
        and DNA, which are also partly responsible for epithelium and
        stroma identification by H&E staining. While these six metrics were
        identified as an effective classifier using the  AUC optimization
        method described previously, they may or may not be the best pos-
        sible classifier for this calibration TMA. Some useful spectral features
        initially listed toward the end in the initial metric order may not have
        been adequately considered in the metric sorting process due to the
        rapid convergence of the AUC value. Selection of a single optimal
        classifier would require more rigorous and time consuming optimi-
        zation analysis, which is not necessary for this two-class model due
        to the quick AUC convergence using the simple classification itera-
        tion method described in this manuscript.
        1.2.4  Validation and Dependence on
                Experimental Parameters
        Validation studies are performed on a separate TMA with tissue sam-
        ples from the same 40 patients to assess the robustness of the classi-
        fier. From Fig. 1.5 it is clear that the six metric classification model

         (a)                           (c)
            C N  C N  C N  C N  C N       1.00
                                          0.96
                                          0.92
                                         AUC  0.88  1.00
                                              0.96
                                              0.92
                                          0.84  0.88
                                              0.84          Stroma
                                              0.80
                                          0.80   2  4  6  8 10  Epithelium
                                                20   40   60  80
                                                 Number of metrics
         (b)                           (d) 1.00
                                          0.96
                                         AUC 0.92
                                          0.88  1.00
                                              0.96
                                              0.92
                                              0.88
                                          0.84
                                              0.84          Calibration
                                              0.80
                                                2  4  6  8  10  Validation
                                          0.80
                                                20   40   60  80
                                     1.5 mm
                                                 Number of metrics
        FIGURE 1.5  (a) Classifi ed images for a validation dataset for the developed
        protocol demonstrate segmentation of the tissue into the two selected
        classes. (b) The corresponding H&E-stained image is shown for reference.
        (c) ROC curves for epithelium and stroma, indicating the AUC values,
        demonstrate high degree of confi dence in the classifi cation. (d) Mean AUC
        curves for calibration and validation TMAs indicate that the classifi er is
        robust and effective on independent datasets.
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