An ensemble-based Convolutional Neural Network model powered by genetic algorithm for melanoma diagnosis

Authors

Eduardo Pérez and Sebastián Ventura

Problem statement

Despite the expertise of dermatologists, the early diagnosis of melanoma remains as a tough task, because it is present in many different shapes, sizes and colors, even between samples of the same category. Morphological differences in images belonging to patients with different biological conditions (normal and malignant) can be seen in the following Figure (images taken from HAM10000 dataset).

Segmentation performance

Image ACC SE SP PC F1 JS MT DC Proposal ACC SE SP PC F1 JS MT DC U-NET ACC SE SP PC F1 JS MT DC R2U-NET
IMD002.bmp 0.967 0.902 0.992 0.976 0.938 0.883 0.917 0.938 0.910 0.941 0.999 0.919 0.824 0.903 0.823 0.869 0.903 0.863 0.934 0.998 0.910 0.807 0.892 0.806 0.855 0.892 0.849
IMD003.bmp 0.839 0.973 0.822 0.412 0.579 0.407 0.569 0.579 0.493 0.912 0.950 0.907 0.567 0.710 0.551 0.693 0.710 0.631 0.868 0.999 0.851 0.462 0.632 0.462 0.627 0.632 0.547
IMD004.bmp 0.978 0.982 0.977 0.911 0.945 0.896 0.932 0.945 0.921 0.989 0.978 0.992 0.966 0.972 0.946 0.965 0.972 0.959 0.956 0.777 1.000 0.998 0.874 0.776 0.857 0.874 0.825
IMD008.bmp 0.981 0.879 0.995 0.959 0.917 0.847 0.908 0.917 0.882 0.957 0.634 1.000 1.000 0.776 0.634 0.778 0.776 0.705 0.931 0.410 1.000 1.000 0.582 0.410 0.617 0.582 0.496
IMD009.bmp 0.970 0.960 0.971 0.812 0.880 0.785 0.867 0.880 0.832 0.963 0.924 0.968 0.786 0.849 0.738 0.832 0.849 0.794 0.968 0.810 0.988 0.897 0.851 0.741 0.835 0.851 0.796
IMD010.bmp 0.981 0.999 0.979 0.856 0.922 0.856 0.915 0.922 0.889 0.597 1.000 0.547 0.214 0.352 0.214 0.342 0.352 0.283 0.921 1.000 0.911 0.582 0.736 0.582 0.729 0.736 0.659
IMD014.bmp 0.225 0.235 0.217 0.181 0.205 0.114 -0.544 0.205 0.159 0.868 0.781 0.932 0.894 0.834 0.715 0.730 0.834 0.774 0.758 0.428 1.000 1.000 0.600 0.428 0.549 0.600 0.514
IMD015.bmp 0.963 0.999 0.952 0.863 0.926 0.862 0.906 0.926 0.894 0.907 1.000 0.878 0.713 0.832 0.713 0.791 0.832 0.772 0.982 0.962 0.988 0.960 0.961 0.925 0.949 0.961 0.943
IMD016.bmp 0.978 0.997 0.974 0.885 0.938 0.883 0.926 0.938 0.910 0.970 1.000 0.964 0.849 0.918 0.849 0.905 0.918 0.884 0.970 0.960 0.972 0.876 0.916 0.845 0.899 0.916 0.880
IMD017.bmp 0.925 0.845 1.000 1.000 0.916 0.844 0.858 0.916 0.880 0.986 0.983 0.989 0.989 0.986 0.972 0.973 0.986 0.979 0.966 0.931 0.999 0.999 0.964 0.930 0.934 0.964 0.947
IMD018.bmp 0.988 0.986 0.988 0.889 0.935 0.878 0.930 0.935 0.907 0.990 0.887 1.000 0.998 0.939 0.886 0.936 0.939 0.912 0.956 0.594 0.992 0.882 0.710 0.550 0.703 0.710 0.630
IMD020.bmp 0.986 0.986 0.986 0.904 0.943 0.893 0.937 0.943 0.918 0.992 0.960 0.996 0.972 0.966 0.934 0.962 0.966 0.950 0.991 0.937 0.999 0.990 0.963 0.929 0.959 0.963 0.946
IMD021.bmp 0.993 0.993 0.993 0.954 0.974 0.948 0.970 0.974 0.961 0.956 1.000 0.950 0.755 0.860 0.755 0.847 0.860 0.808 0.954 1.000 0.947 0.744 0.853 0.744 0.839 0.853 0.799
IMD022.bmp 0.951 0.838 0.994 0.980 0.903 0.824 0.876 0.903 0.864 0.482 1.000 0.288 0.346 0.514 0.346 0.315 0.514 0.430 0.506 1.000 0.320 0.357 0.526 0.357 0.338 0.526 0.442
IMD023.bmp 0.538 0.431 0.976 0.987 0.600 0.429 0.339 0.600 0.514 0.835 0.801 0.973 0.992 0.887 0.796 0.646 0.887 0.841 0.738 0.676 0.989 0.996 0.806 0.675 0.532 0.806 0.740
IMD024.bmp 0.985 0.925 0.990 0.900 0.912 0.839 0.904 0.912 0.875 0.985 0.850 0.998 0.971 0.907 0.829 0.901 0.907 0.868 0.991 0.931 0.996 0.961 0.946 0.897 0.941 0.946 0.921
IMD025.bmp 0.974 0.918 0.986 0.931 0.924 0.859 0.908 0.924 0.892 0.573 0.986 0.485 0.290 0.448 0.289 0.366 0.448 0.368 0.972 0.996 0.967 0.863 0.925 0.860 0.911 0.925 0.892
IMD027.bmp 0.965 0.987 0.959 0.873 0.927 0.863 0.907 0.927 0.895 0.951 1.000 0.937 0.818 0.900 0.818 0.876 0.900 0.859 0.976 0.998 0.970 0.905 0.949 0.903 0.936 0.949 0.926
IMD030.bmp 0.886 0.786 0.999 0.999 0.880 0.786 0.795 0.880 0.833 0.900 0.810 1.000 1.000 0.895 0.810 0.817 0.895 0.853 0.927 0.863 0.999 0.998 0.926 0.862 0.863 0.926 0.894
IMD031.bmp 0.941 0.919 0.989 0.995 0.955 0.915 0.875 0.955 0.935 0.944 0.919 0.999 0.999 0.958 0.919 0.882 0.958 0.938 0.976 0.974 0.981 0.991 0.982 0.965 0.945 0.982 0.974
IMD032.bmp 0.864 0.806 0.917 0.898 0.850 0.738 0.730 0.850 0.794 0.915 0.852 0.972 0.965 0.905 0.826 0.834 0.905 0.866 0.694 0.362 0.995 0.986 0.529 0.360 0.469 0.529 0.445
IMD033.bmp 0.946 0.906 0.963 0.912 0.909 0.833 0.871 0.909 0.871 0.943 0.832 0.989 0.970 0.896 0.811 0.862 0.896 0.854 0.941 0.830 0.988 0.966 0.893 0.807 0.857 0.893 0.850
IMD035.bmp 0.733 0.965 0.694 0.352 0.515 0.347 0.475 0.515 0.431 0.889 0.257 0.998 0.958 0.405 0.254 0.464 0.405 0.330 0.944 0.644 0.996 0.964 0.772 0.628 0.761 0.772 0.700
IMD036.bmp 0.970 0.950 0.985 0.979 0.964 0.931 0.939 0.964 0.948 0.948 1.000 0.911 0.890 0.942 0.890 0.900 0.942 0.916 0.840 1.000 0.725 0.724 0.840 0.724 0.724 0.840 0.782
IMD037.bmp 0.917 0.651 0.959 0.712 0.680 0.515 0.633 0.680 0.597 0.931 0.493 0.999 0.989 0.658 0.490 0.671 0.658 0.574 0.926 0.453 1.000 0.993 0.622 0.451 0.643 0.622 0.537
IMD038.bmp 0.979 0.996 0.977 0.834 0.908 0.832 0.901 0.908 0.870 0.965 1.000 0.961 0.750 0.857 0.750 0.849 0.857 0.804 0.976 1.000 0.973 0.814 0.897 0.813 0.890 0.897 0.855
IMD039.bmp 0.976 1.000 0.974 0.760 0.864 0.760 0.861 0.864 0.812 0.972 0.640 1.000 1.000 0.780 0.640 0.788 0.780 0.710 0.981 0.755 1.000 1.000 0.860 0.755 0.860 0.860 0.808
IMD040.bmp 0.856 1.000 0.843 0.361 0.531 0.361 0.552 0.531 0.446 0.922 1.000 0.915 0.511 0.677 0.511 0.684 0.677 0.594 0.980 1.000 0.978 0.804 0.891 0.804 0.887 0.891 0.848
IMD041.bmp 0.982 0.965 0.987 0.959 0.962 0.926 0.950 0.962 0.944 0.978 0.915 0.998 0.994 0.953 0.910 0.940 0.953 0.931 0.971 0.886 0.998 0.994 0.937 0.881 0.921 0.937 0.909
IMD042.bmp 0.979 0.963 0.984 0.954 0.958 0.920 0.944 0.958 0.939 0.854 1.000 0.805 0.632 0.775 0.632 0.713 0.775 0.703 0.852 1.000 0.802 0.629 0.772 0.629 0.711 0.772 0.701
IMD043.bmp 0.982 0.957 0.987 0.938 0.947 0.899 0.936 0.947 0.923 0.812 1.000 0.772 0.478 0.647 0.478 0.608 0.647 0.563 0.638 1.000 0.563 0.322 0.487 0.322 0.426 0.487 0.405
IMD044.bmp 0.937 0.869 0.996 0.995 0.928 0.865 0.878 0.928 0.896 0.885 0.899 0.872 0.859 0.879 0.784 0.769 0.879 0.831 0.961 0.997 0.930 0.925 0.960 0.923 0.925 0.960 0.941
IMD045.bmp 0.978 0.876 0.988 0.880 0.878 0.783 0.866 0.878 0.830 0.961 0.619 0.995 0.930 0.743 0.591 0.741 0.743 0.667 0.862 0.933 0.855 0.392 0.552 0.381 0.550 0.552 0.467
IMD047.bmp 0.969 0.960 0.972 0.911 0.935 0.878 0.916 0.935 0.907 0.718 1.000 0.634 0.449 0.620 0.449 0.533 0.620 0.534 0.971 0.994 0.964 0.891 0.939 0.886 0.922 0.939 0.913
IMD048.bmp 0.944 0.939 0.945 0.727 0.819 0.694 0.796 0.819 0.757 0.899 0.992 0.884 0.572 0.725 0.569 0.707 0.725 0.647 0.748 1.000 0.708 0.347 0.516 0.347 0.496 0.516 0.432
IMD049.bmp 0.947 1.000 0.939 0.718 0.836 0.718 0.821 0.836 0.777 0.950 0.999 0.942 0.730 0.844 0.730 0.829 0.844 0.787 0.937 1.000 0.927 0.682 0.811 0.682 0.795 0.811 0.746
IMD057.bmp 0.977 0.947 0.998 0.998 0.972 0.945 0.953 0.972 0.958 0.984 0.996 0.975 0.965 0.981 0.962 0.967 0.981 0.971 0.986 0.969 0.997 0.995 0.982 0.965 0.970 0.982 0.974
IMD058.bmp 0.832 0.747 0.986 0.989 0.851 0.741 0.703 0.851 0.796 0.719 0.930 0.342 0.717 0.810 0.680 0.348 0.810 0.745 0.641 0.926 0.130 0.656 0.768 0.623 0.091 0.768 0.696
IMD061.bmp 0.823 0.809 0.854 0.922 0.862 0.757 0.630 0.862 0.809 0.619 0.440 1.000 1.000 0.611 0.440 0.448 0.611 0.525 0.770 0.661 1.000 1.000 0.796 0.661 0.620 0.796 0.729
IMD063.bmp 0.928 0.853 0.999 0.999 0.920 0.852 0.865 0.920 0.886 0.837 0.998 0.686 0.748 0.855 0.747 0.714 0.855 0.801 0.943 0.982 0.907 0.908 0.943 0.893 0.889 0.943 0.918
IMD064.bmp 0.717 0.660 0.934 0.974 0.787 0.648 0.484 0.787 0.718 0.914 0.937 0.825 0.953 0.945 0.896 0.746 0.945 0.921 0.888 0.926 0.744 0.932 0.929 0.868 0.664 0.929 0.898
IMD065.bmp 0.867 0.831 0.947 0.972 0.896 0.812 0.732 0.896 0.854 0.889 0.861 0.950 0.975 0.914 0.842 0.769 0.914 0.878 0.934 0.906 0.998 0.999 0.950 0.905 0.863 0.950 0.927
IMD075.bmp 0.950 0.784 1.000 1.000 0.879 0.784 0.858 0.879 0.832 0.885 0.909 0.878 0.694 0.787 0.649 0.722 0.787 0.718 0.913 0.997 0.887 0.729 0.842 0.728 0.803 0.842 0.785
IMD076.bmp 0.943 0.962 0.936 0.842 0.898 0.814 0.862 0.898 0.856 0.781 0.940 0.726 0.547 0.691 0.528 0.587 0.691 0.610 0.915 0.975 0.894 0.764 0.857 0.749 0.810 0.857 0.803
IMD078.bmp 0.981 0.988 0.979 0.922 0.954 0.912 0.943 0.954 0.933 0.981 0.931 0.994 0.975 0.953 0.909 0.941 0.953 0.931 0.988 0.977 0.991 0.963 0.970 0.942 0.962 0.970 0.956
IMD080.bmp 0.856 0.859 0.848 0.926 0.891 0.804 0.682 0.891 0.848 0.925 0.907 0.963 0.982 0.943 0.893 0.838 0.943 0.918 0.950 0.978 0.887 0.950 0.964 0.931 0.882 0.964 0.947
IMD085.bmp 0.800 0.924 0.766 0.523 0.668 0.501 0.584 0.668 0.584 0.604 0.976 0.500 0.352 0.517 0.349 0.401 0.517 0.433 0.673 0.999 0.582 0.400 0.571 0.400 0.482 0.571 0.485
IMD088.bmp 0.844 0.657 1.000 1.000 0.793 0.657 0.714 0.793 0.725 0.970 0.964 0.976 0.971 0.967 0.937 0.940 0.967 0.952 0.896 0.874 0.914 0.895 0.884 0.793 0.790 0.884 0.838
IMD090.bmp 0.773 0.727 0.893 0.948 0.823 0.699 0.556 0.823 0.761 0.776 0.712 0.946 0.972 0.822 0.698 0.587 0.822 0.760 0.845 0.814 0.927 0.968 0.884 0.793 0.677 0.884 0.838
IMD091.bmp 0.874 0.812 1.000 1.000 0.896 0.812 0.768 0.896 0.854 0.902 1.000 0.705 0.871 0.931 0.871 0.784 0.931 0.901 0.816 1.000 0.446 0.784 0.879 0.784 0.591 0.879 0.831
IMD101.bmp 0.756 0.729 0.792 0.823 0.773 0.630 0.516 0.773 0.702 0.958 0.959 0.955 0.966 0.963 0.928 0.914 0.963 0.945 0.940 0.986 0.878 0.915 0.949 0.903 0.879 0.949 0.926
IMD105.bmp 0.686 0.933 0.659 0.228 0.367 0.224 0.359 0.367 0.296 0.988 0.990 0.988 0.900 0.943 0.892 0.938 0.943 0.917 0.992 0.960 0.995 0.955 0.958 0.919 0.953 0.958 0.938
IMD107.bmp 0.978 0.942 0.983 0.885 0.912 0.839 0.900 0.912 0.876 0.986 0.920 0.995 0.961 0.940 0.887 0.932 0.940 0.913 0.992 0.959 0.996 0.973 0.965 0.933 0.961 0.965 0.949
IMD108.bmp 0.971 0.811 0.998 0.981 0.888 0.798 0.877 0.888 0.843 0.987 0.916 0.998 0.988 0.950 0.905 0.943 0.950 0.928 0.992 0.978 0.994 0.963 0.971 0.943 0.966 0.971 0.957
IMD112.bmp 0.823 0.555 1.000 1.000 0.714 0.555 0.655 0.714 0.635 0.789 0.470 1.000 0.999 0.640 0.470 0.590 0.640 0.555 0.795 0.484 1.000 1.000 0.652 0.484 0.601 0.652 0.568
IMD118.bmp 0.979 0.880 0.999 0.997 0.935 0.878 0.925 0.935 0.906 0.987 0.994 0.985 0.931 0.962 0.926 0.954 0.962 0.944 0.988 0.930 1.000 0.998 0.963 0.928 0.956 0.963 0.945
IMD120.bmp 0.904 0.727 1.000 0.999 0.842 0.727 0.795 0.842 0.784 0.915 0.771 0.993 0.984 0.865 0.762 0.817 0.865 0.813 0.920 0.781 0.995 0.989 0.873 0.774 0.827 0.873 0.823
IMD125.bmp 0.964 0.789 1.000 1.000 0.882 0.789 0.869 0.882 0.835 0.926 0.989 0.913 0.701 0.820 0.696 0.794 0.820 0.758 0.578 1.000 0.491 0.289 0.448 0.289 0.376 0.448 0.368
IMD126.bmp 0.936 0.884 0.951 0.833 0.858 0.751 0.817 0.858 0.804 0.942 0.763 0.991 0.961 0.851 0.740 0.823 0.851 0.795 0.924 0.656 0.998 0.991 0.789 0.652 0.769 0.789 0.720
IMD132.bmp 0.990 0.938 0.993 0.906 0.922 0.854 0.916 0.922 0.888 0.972 0.578 0.999 0.984 0.728 0.572 0.743 0.728 0.650 0.990 0.865 0.999 0.985 0.921 0.853 0.918 0.921 0.887
IMD134.bmp 0.983 0.926 0.991 0.940 0.933 0.875 0.923 0.933 0.904 0.991 0.974 0.994 0.958 0.966 0.934 0.961 0.966 0.950 0.992 0.952 0.998 0.984 0.968 0.937 0.963 0.968 0.952
IMD135.bmp 0.952 0.924 0.978 0.975 0.949 0.903 0.905 0.949 0.926 0.952 0.998 0.908 0.910 0.952 0.909 0.907 0.952 0.930 0.970 0.985 0.957 0.955 0.970 0.942 0.941 0.970 0.956
IMD137.bmp 0.809 0.932 0.790 0.398 0.558 0.387 0.528 0.558 0.473 0.992 0.950 0.998 0.987 0.968 0.937 0.963 0.968 0.953 0.967 0.998 0.962 0.796 0.886 0.795 0.874 0.886 0.841
IMD138.bmp 0.961 0.850 0.997 0.990 0.914 0.842 0.894 0.914 0.878 0.775 1.000 0.702 0.519 0.684 0.519 0.604 0.684 0.601 0.917 1.000 0.891 0.746 0.855 0.746 0.815 0.855 0.801
IMD139.bmp 0.989 0.919 0.997 0.976 0.947 0.898 0.941 0.947 0.923 0.171 1.000 0.075 0.111 0.200 0.111 0.091 0.200 0.155 0.223 1.000 0.133 0.117 0.210 0.117 0.125 0.210 0.164
IMD140.bmp 0.986 0.930 0.994 0.949 0.939 0.886 0.932 0.939 0.913 0.992 0.989 0.993 0.947 0.967 0.937 0.963 0.967 0.952 0.993 0.961 0.997 0.975 0.968 0.938 0.964 0.968 0.953
IMD142.bmp 0.980 0.933 0.987 0.925 0.929 0.867 0.917 0.929 0.898 0.971 0.994 0.967 0.835 0.908 0.831 0.895 0.908 0.869 0.986 0.992 0.985 0.915 0.952 0.908 0.945 0.952 0.930
IMD143.bmp 0.984 0.917 0.988 0.830 0.871 0.772 0.864 0.871 0.822 0.981 0.682 1.000 1.000 0.811 0.682 0.818 0.811 0.747 0.981 0.669 1.000 1.000 0.801 0.669 0.809 0.801 0.735
IMD144.bmp 0.989 0.956 0.991 0.873 0.913 0.840 0.908 0.913 0.877 0.996 0.966 0.998 0.968 0.967 0.936 0.965 0.967 0.951 0.993 0.880 1.000 0.997 0.935 0.878 0.933 0.935 0.907
IMD147.bmp 0.904 0.798 1.000 1.000 0.888 0.798 0.821 0.888 0.843 0.907 0.803 1.000 1.000 0.891 0.803 0.826 0.891 0.847 0.947 0.892 0.997 0.997 0.941 0.889 0.898 0.941 0.915
IMD149.bmp 0.986 0.984 0.987 0.977 0.981 0.962 0.970 0.981 0.971 0.990 0.996 0.986 0.976 0.986 0.972 0.978 0.986 0.979 0.974 0.999 0.959 0.934 0.966 0.934 0.946 0.966 0.950
IMD150.bmp 0.961 0.928 0.982 0.972 0.949 0.903 0.918 0.949 0.926 0.977 0.948 0.996 0.993 0.970 0.942 0.952 0.970 0.956 0.959 0.900 0.998 0.996 0.946 0.897 0.916 0.946 0.922
IMD152.bmp 0.960 0.898 0.995 0.991 0.942 0.891 0.914 0.942 0.917 0.635 0.997 0.425 0.502 0.668 0.501 0.459 0.668 0.585 0.755 0.999 0.613 0.600 0.750 0.600 0.605 0.750 0.675
IMD153.bmp 0.930 0.849 0.994 0.992 0.915 0.843 0.864 0.915 0.879 0.907 0.959 0.866 0.850 0.901 0.821 0.820 0.901 0.861 0.958 0.971 0.948 0.937 0.954 0.911 0.916 0.954 0.933
IMD154.bmp 0.519 0.176 1.000 1.000 0.299 0.176 0.286 0.299 0.237 0.969 0.955 0.989 0.992 0.973 0.948 0.938 0.973 0.960 0.967 0.971 0.962 0.973 0.972 0.945 0.932 0.972 0.958
IMD155.bmp 0.958 0.938 0.971 0.956 0.947 0.899 0.912 0.947 0.923 0.865 1.000 0.776 0.746 0.855 0.746 0.761 0.855 0.800 0.880 1.000 0.801 0.768 0.869 0.768 0.784 0.869 0.818
IMD157.bmp 0.967 0.970 0.966 0.909 0.939 0.884 0.917 0.939 0.911 0.830 1.000 0.771 0.604 0.753 0.604 0.682 0.753 0.678 0.587 1.000 0.443 0.385 0.556 0.385 0.413 0.556 0.470
IMD159.bmp 0.939 0.813 0.999 0.997 0.895 0.811 0.862 0.895 0.853 0.938 0.998 0.910 0.840 0.912 0.838 0.872 0.912 0.875 0.963 0.996 0.948 0.901 0.946 0.897 0.921 0.946 0.921
IMD160.bmp 0.876 0.769 0.999 0.999 0.869 0.769 0.778 0.869 0.819 0.919 0.853 0.996 0.996 0.919 0.850 0.849 0.919 0.884 0.945 0.898 1.000 1.000 0.946 0.898 0.896 0.946 0.922
IMD161.bmp 0.908 0.819 1.000 1.000 0.900 0.819 0.831 0.900 0.860 0.954 0.910 1.000 1.000 0.953 0.910 0.912 0.953 0.931 0.927 0.855 1.000 1.000 0.922 0.855 0.863 0.922 0.889
IMD162.bmp 0.825 0.827 0.825 0.466 0.596 0.425 0.529 0.596 0.511 0.954 0.704 1.000 1.000 0.826 0.704 0.817 0.826 0.765 0.955 0.732 0.996 0.973 0.835 0.717 0.821 0.835 0.776
IMD164.bmp 0.978 0.928 0.993 0.974 0.950 0.905 0.937 0.950 0.928 0.513 1.000 0.371 0.317 0.481 0.317 0.343 0.481 0.399 0.966 0.999 0.957 0.871 0.931 0.870 0.912 0.931 0.900
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IMD408.bmp 0.768 0.743 0.946 0.990 0.849 0.738 0.476 0.849 0.794 0.611 0.557 0.997 0.999 0.715 0.557 0.363 0.715 0.636 0.608 0.553 1.000 1.000 0.712 0.553 0.362 0.712 0.633
IMD409.bmp 0.903 0.857 0.989 0.993 0.920 0.852 0.812 0.920 0.886 0.928 0.893 0.993 0.996 0.941 0.889 0.856 0.941 0.915 0.707 0.550 1.000 1.000 0.709 0.550 0.546 0.709 0.629
IMD410.bmp 0.796 0.673 0.943 0.934 0.783 0.643 0.629 0.783 0.713 0.739 0.521 1.000 1.000 0.685 0.521 0.576 0.685 0.603 0.632 0.329 0.993 0.983 0.494 0.328 0.416 0.494 0.411
IMD411.bmp 0.552 0.556 0.461 0.958 0.703 0.542 0.007 0.703 0.623 0.991 0.993 0.942 0.997 0.995 0.990 0.894 0.995 0.993 0.795 0.785 1.000 1.000 0.880 0.785 0.369 0.880 0.832
IMD413.bmp 0.570 0.579 0.396 0.944 0.718 0.560 -0.011 0.718 0.639 0.934 0.941 0.804 0.988 0.964 0.931 0.563 0.964 0.947 0.868 0.860 1.000 1.000 0.925 0.860 0.499 0.925 0.892
IMD417.bmp 0.260 0.214 1.000 1.000 0.352 0.214 0.125 0.352 0.283 0.871 0.867 0.943 0.996 0.927 0.864 0.495 0.927 0.895 0.872 0.864 1.000 1.000 0.927 0.864 0.523 0.927 0.896
IMD418.bmp 0.863 0.883 0.838 0.877 0.880 0.786 0.721 0.880 0.833 0.902 0.865 0.951 0.959 0.909 0.834 0.809 0.909 0.872 0.917 0.879 0.967 0.972 0.923 0.858 0.839 0.923 0.891
IMD419.bmp 0.907 0.906 0.909 0.976 0.940 0.887 0.745 0.940 0.913 0.976 0.977 0.972 0.993 0.985 0.970 0.925 0.985 0.977 0.956 0.958 0.947 0.987 0.972 0.946 0.869 0.972 0.959
IMD420.bmp 0.651 0.522 0.999 0.999 0.686 0.522 0.476 0.686 0.604 0.562 0.402 0.994 0.994 0.573 0.401 0.385 0.573 0.487 0.558 0.395 1.000 1.000 0.566 0.395 0.387 0.566 0.480
IMD421.bmp 0.580 0.533 0.970 0.993 0.694 0.531 0.312 0.694 0.613 0.114 0.007 1.000 1.000 0.014 0.007 0.027 0.014 0.010 0.415 0.345 1.000 1.000 0.513 0.345 0.231 0.513 0.429
IMD423.bmp 0.959 0.954 0.968 0.983 0.968 0.938 0.911 0.968 0.953 0.902 0.851 1.000 1.000 0.919 0.851 0.814 0.919 0.885 0.603 0.396 1.000 1.000 0.567 0.396 0.429 0.567 0.481
IMD424.bmp 0.323 0.312 1.000 1.000 0.475 0.312 0.087 0.475 0.393 0.417 0.407 1.000 1.000 0.578 0.407 0.107 0.578 0.493 0.316 0.304 1.000 1.000 0.466 0.304 0.086 0.466 0.385
IMD425.bmp 0.431 0.329 1.000 1.000 0.495 0.329 0.264 0.495 0.412 0.377 0.265 1.000 1.000 0.419 0.265 0.228 0.419 0.342 0.359 0.244 1.000 1.000 0.393 0.244 0.217 0.393 0.318
IMD426.bmp 0.799 0.713 0.914 0.918 0.803 0.671 0.624 0.803 0.737 0.798 0.693 0.941 0.940 0.798 0.663 0.634 0.798 0.731 0.501 0.131 1.000 1.000 0.231 0.131 0.245 0.231 0.181
IMD427.bmp 0.956 0.867 1.000 1.000 0.929 0.867 0.903 0.929 0.898 0.929 0.783 1.000 1.000 0.878 0.783 0.841 0.878 0.831 0.981 0.948 0.997 0.994 0.971 0.943 0.958 0.971 0.957
IMD429.bmp 0.975 0.927 0.986 0.934 0.930 0.870 0.915 0.930 0.900 0.978 0.994 0.974 0.895 0.942 0.891 0.931 0.942 0.917 0.969 0.995 0.963 0.855 0.920 0.851 0.904 0.920 0.886
IMD430.bmp 0.977 0.884 1.000 0.999 0.938 0.883 0.926 0.938 0.910 0.989 0.999 0.986 0.946 0.972 0.945 0.966 0.972 0.959 0.990 0.996 0.989 0.956 0.975 0.952 0.970 0.975 0.964
IMD431.bmp 0.890 0.751 1.000 1.000 0.858 0.751 0.792 0.858 0.804 0.947 0.881 0.999 0.999 0.936 0.879 0.896 0.936 0.908 0.933 0.849 1.000 1.000 0.918 0.849 0.871 0.918 0.884
IMD432.bmp 0.956 0.791 1.000 0.999 0.883 0.790 0.865 0.883 0.837 0.985 0.958 0.993 0.971 0.965 0.932 0.956 0.965 0.948 0.984 0.928 0.999 0.996 0.961 0.925 0.952 0.961 0.943
IMD433.bmp 0.988 0.902 1.000 0.999 0.948 0.901 0.943 0.948 0.924 0.994 0.964 0.998 0.984 0.974 0.949 0.971 0.974 0.962 0.992 0.946 0.999 0.990 0.967 0.936 0.963 0.967 0.952
IMD434.bmp 0.972 0.883 0.994 0.973 0.926 0.863 0.911 0.926 0.894 0.831 0.904 0.813 0.542 0.677 0.512 0.607 0.677 0.595 0.943 0.710 1.000 1.000 0.831 0.710 0.814 0.831 0.770
IMD435.bmp 0.630 0.565 0.858 0.933 0.704 0.543 0.351 0.704 0.623 0.312 0.116 1.000 1.000 0.208 0.116 0.168 0.208 0.162 0.479 0.331 1.000 1.000 0.497 0.331 0.314 0.497 0.414
IMD436.bmp 0.877 0.778 1.000 1.000 0.875 0.778 0.781 0.875 0.827 0.825 0.684 1.000 1.000 0.812 0.684 0.701 0.812 0.748 0.918 0.853 1.000 1.000 0.920 0.853 0.849 0.920 0.886
IMD437.bmp 0.938 0.875 1.000 1.000 0.933 0.875 0.883 0.933 0.904 0.867 0.729 1.000 1.000 0.843 0.729 0.760 0.843 0.786 0.896 0.789 1.000 1.000 0.882 0.789 0.809 0.882 0.835
Average 0.895 0.832 0.955 0.915 0.853 0.763 0.778 0.853 0.808 0.855 0.858 0.886 0.842 0.799 0.705 0.732 0.799 0.752 0.873 0.840 0.919 0.872 0.812 0.716 0.746 0.812 0.764
Friedman’s ranking 1.947 2.040 2.013
Table 1: Evaluation of the segmentation methods in PH2 dataset. The best average U-Net score value was highlighted in bold typeface. No significant differences were encountered, the Friedman’s test didn’t rejected the null hypothesis with a p-value equal to 6.476E-1; Friedman’s statistic was equal to 0.86898 with two degrees of freedom. Last row shows the Friedman’s ranking, where the proposed segmentation method achieved the best average ranking, followed by R2U-Net.
Image ACC SE SP PC F1 JS MT DC Proposal ACC SE SP PC F1 JS MT DC UNET ACC SE SP PC F1 JS MT DC R2UNET
A102a.png 0.962 0.958 0.963 0.900 0.928 0.866 0.903 0.928 0.897 0.888 0.568 1.000 1.000 0.725 0.568 0.703 0.725 0.647 0.915 0.952 0.902 0.772 0.853 0.743 0.803 0.853 0.798
A112b.png 0.915 0.872 0.947 0.925 0.898 0.815 0.826 0.898 0.856 0.889 0.814 0.945 0.917 0.862 0.758 0.773 0.862 0.810 0.697 0.294 1.000 1.000 0.454 0.294 0.438 0.454 0.374
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A121c.png 0.921 0.878 0.942 0.882 0.880 0.786 0.821 0.880 0.833 0.914 0.747 0.996 0.989 0.851 0.741 0.807 0.851 0.796 0.826 0.734 0.871 0.738 0.736 0.582 0.606 0.736 0.659
A123.png 0.952 0.980 0.933 0.905 0.941 0.888 0.902 0.941 0.914 0.905 0.997 0.845 0.806 0.892 0.805 0.823 0.892 0.848 0.954 0.906 0.985 0.975 0.939 0.885 0.904 0.939 0.912
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A25b.png 0.409 0.486 0.342 0.394 0.435 0.278 -0.174 0.435 0.357 0.752 0.484 0.988 0.971 0.646 0.477 0.556 0.646 0.561 0.541 0.020 1.000 1.000 0.038 0.020 0.103 0.038 0.029
A27.png 0.921 0.948 0.907 0.848 0.895 0.810 0.836 0.895 0.853 0.950 0.983 0.932 0.888 0.933 0.875 0.897 0.933 0.904 0.971 0.938 0.989 0.980 0.959 0.921 0.937 0.959 0.940
A2b.png 0.975 0.954 0.983 0.951 0.952 0.909 0.935 0.952 0.930 0.908 1.000 0.875 0.738 0.849 0.738 0.804 0.849 0.794 0.958 0.975 0.951 0.876 0.923 0.857 0.896 0.923 0.890
A7g.png 0.937 0.995 0.908 0.846 0.914 0.842 0.872 0.914 0.878 0.961 0.995 0.944 0.901 0.946 0.897 0.919 0.946 0.921 0.938 0.865 0.975 0.946 0.904 0.825 0.860 0.904 0.864
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A8d.png 0.968 0.899 1.000 1.000 0.947 0.899 0.927 0.947 0.923 0.968 0.915 0.992 0.982 0.948 0.901 0.926 0.948 0.924 0.934 0.988 0.909 0.834 0.904 0.825 0.862 0.904 0.865
A8e.png 0.961 0.906 0.997 0.995 0.949 0.902 0.919 0.949 0.926 0.965 0.919 0.995 0.993 0.955 0.913 0.928 0.955 0.934 0.946 0.872 0.996 0.994 0.929 0.867 0.890 0.929 0.898
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A96.png 0.703 1.000 0.669 0.257 0.410 0.257 0.415 0.410 0.334 0.849 0.999 0.832 0.405 0.576 0.405 0.580 0.576 0.490 0.897 1.000 0.886 0.500 0.667 0.500 0.666 0.667 0.584
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B102a.png 0.974 0.926 0.999 0.998 0.961 0.924 0.943 0.961 0.943 0.972 0.926 0.995 0.990 0.957 0.918 0.937 0.957 0.937 0.961 0.994 0.944 0.899 0.944 0.894 0.917 0.944 0.919
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B1086a.png 0.633 0.551 0.649 0.225 0.320 0.190 0.149 0.320 0.255 0.932 0.816 0.953 0.765 0.790 0.652 0.750 0.790 0.721 0.798 0.980 0.764 0.435 0.602 0.431 0.566 0.602 0.517
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P56b.png 0.939 0.824 1.000 1.000 0.903 0.824 0.868 0.903 0.863 0.967 0.910 0.997 0.993 0.950 0.905 0.927 0.950 0.927 0.942 0.833 1.000 1.000 0.909 0.833 0.875 0.909 0.871
P57.png 0.964 0.901 1.000 1.000 0.948 0.901 0.924 0.948 0.925 0.909 0.748 1.000 1.000 0.856 0.748 0.809 0.856 0.802 0.873 0.650 1.000 1.000 0.788 0.650 0.736 0.788 0.719
P58.png 0.944 0.998 0.916 0.859 0.923 0.858 0.886 0.923 0.891 0.947 0.999 0.921 0.865 0.927 0.864 0.892 0.927 0.896 0.938 0.907 0.954 0.909 0.908 0.832 0.861 0.908 0.870
P63.png 0.950 0.866 0.999 0.999 0.928 0.865 0.895 0.928 0.896 0.906 0.749 1.000 1.000 0.857 0.749 0.807 0.857 0.803 0.895 0.718 1.000 1.000 0.836 0.718 0.784 0.836 0.777
P67a.png 0.848 0.838 0.853 0.764 0.799 0.666 0.679 0.799 0.732 0.941 0.849 0.993 0.985 0.912 0.838 0.873 0.912 0.875 0.932 0.885 0.958 0.923 0.904 0.824 0.851 0.904 0.864
P75a.png 0.918 0.801 0.987 0.973 0.879 0.784 0.826 0.879 0.831 0.791 0.439 1.000 1.000 0.610 0.439 0.574 0.610 0.525 0.781 0.625 0.874 0.747 0.680 0.516 0.521 0.680 0.598
P75b.png 0.813 0.877 0.770 0.719 0.790 0.653 0.634 0.790 0.721 0.616 0.044 1.000 0.988 0.085 0.044 0.162 0.085 0.065 0.634 0.089 1.000 1.000 0.164 0.089 0.235 0.164 0.126
P79.png 0.950 0.830 0.994 0.982 0.899 0.817 0.872 0.899 0.858 0.954 0.830 0.999 0.998 0.906 0.828 0.882 0.906 0.867 0.912 0.806 0.951 0.859 0.831 0.711 0.772 0.831 0.771
P81b.png 0.621 0.122 1.000 1.000 0.218 0.122 0.271 0.218 0.170 0.883 0.820 0.930 0.899 0.858 0.751 0.761 0.858 0.804 0.608 0.091 1.000 1.000 0.166 0.091 0.231 0.166 0.128
P88b.png 0.953 0.942 0.962 0.952 0.947 0.899 0.905 0.947 0.923 0.897 1.000 0.816 0.810 0.895 0.810 0.813 0.895 0.852 0.935 0.996 0.886 0.873 0.930 0.870 0.876 0.930 0.900
P92.png 0.908 0.849 0.937 0.871 0.860 0.754 0.791 0.860 0.807 0.930 0.801 0.994 0.985 0.884 0.792 0.843 0.884 0.838 0.854 0.636 0.964 0.899 0.745 0.593 0.666 0.745 0.669
P97b.png 0.949 0.839 0.995 0.986 0.907 0.830 0.877 0.907 0.868 0.879 0.595 1.000 1.000 0.746 0.595 0.713 0.746 0.671 0.814 0.377 1.000 0.998 0.548 0.377 0.545 0.548 0.462
T201c.png 0.965 0.997 0.961 0.786 0.879 0.784 0.868 0.879 0.832 0.907 0.270 0.999 0.985 0.424 0.269 0.490 0.424 0.347 0.960 0.699 0.997 0.972 0.813 0.685 0.805 0.813 0.749
T233a.png 0.764 0.966 0.717 0.443 0.607 0.436 0.543 0.607 0.522 0.860 0.998 0.827 0.574 0.729 0.574 0.688 0.729 0.651 0.907 0.999 0.885 0.670 0.802 0.670 0.770 0.802 0.736
T33.png 0.743 0.996 0.695 0.380 0.550 0.379 0.511 0.550 0.465 0.942 0.851 0.959 0.797 0.823 0.699 0.789 0.823 0.761 0.843 0.003 1.000 1.000 0.007 0.003 0.053 0.007 0.005
T80a.png 0.899 0.792 0.916 0.597 0.681 0.516 0.631 0.681 0.598 0.845 0.957 0.828 0.467 0.628 0.458 0.600 0.628 0.543 0.909 0.471 0.979 0.779 0.587 0.415 0.561 0.587 0.501
T86b.png 0.770 0.995 0.757 0.183 0.309 0.183 0.371 0.309 0.246 0.939 0.994 0.936 0.460 0.629 0.459 0.654 0.629 0.544 0.993 0.998 0.993 0.881 0.936 0.880 0.934 0.936 0.908
T87.png 0.934 0.633 0.994 0.956 0.762 0.615 0.746 0.762 0.688 0.943 0.661 1.000 1.000 0.796 0.661 0.787 0.796 0.728 0.836 0.017 1.000 1.000 0.034 0.017 0.120 0.034 0.026
Average 0.915 0.887 0.939 0.857 0.844 0.761 0.808 0.844 0.803 0.909 0.816 0.956 0.900 0.821 0.726 0.791 0.821 0.773 0.885 0.776 0.944 0.864 0.770 0.659 0.733 0.770 0.715
Friedman’s ranking 1.695 1.900 2.404
Hommel’s p-values 3.426e-3 0.0
Table 2: Evaluation of the segmentation methods in DERMLIB dataset. The best average U-Net score value was highlighted in bold typeface. Significant differences were encountered, the Friedman’s test rejected the null hypothesis with a p-value < 2.2e-16; Friedman’s statistic was equal to 108.3 with two degrees of freedom. Last row shows the Friedman’s ranking, where the proposed segmentation method achieved the best average ranking, followed by U-Net. Afterwards, the Hommel’s post-hoc test was conducted by considering the proposal as the control method, and the results showed that it significantly outperformed U-Net and R2U-Net.

Visualization of the individual predictions

To sum up, the results obtained through the experimental study revealed that GAPE-CNN was very effective for diagnosing melanoma, attaining better predictive performance with respect to the state-of-the-art models. However, the visualization of the individual predictions made by the model could add extra value when it is combined with experts. In this regard, several methods can be used to illustrate the predictions of black-box models, e.g. by using Accumulated Local Effects (Apley et al. 2016), Local Surrogate Models (Ribeiro et al. 2016), Counterfactual Explanations (Wachter et al. 2017), and Shapley Additive Explanations (SHAP) (Lundberg et al. 2017), among others. However, SHAP values are facing some criticism in recent articles. For instance, Kumar et al. (2020) stated that this method may not directly generate explanations, but when it is combined with domain knowledge, they can achieve quantitative comparisons and insights in individual predictions. As a result, in this work SHAP values are only applied to show which pixels are mostly activated during prediction in individual samples. After that, it should be complemented and interpreted by using dermatologists’ expertise. For example, next Figure shows how the proposal learned the features that allow to correctly predict whether a sample is melanoma or not. Now, the experts not only can analyze the probability that a test sample is melanoma or not, but also assess the rationale followed by the model to give such a conclusion. Red pixels increase the probability that a sample is melanoma, whereas the blue pixels do the opposite.

 

Apley, D. W. (2016). Visualizing the effects of predictor variables in black box supervised learning models. ArXiv Preprint ArXiv:1612.08468, 44.

Ribeiro, M. T., Singh, S., & Guestrin, C. (2016). “Why Should {I} Trust You?”: Explaining the Predictions of Any Classifier. Proceedings of the 22nd {ACM} {SIGKDD} International Conference on Knowledge Discovery and Data Mining, San Francisco, CA, USA, August 13-17, 2016, 1135–1144.

Wachter, S., Mittelstadt, B., & Russell, C. (2017). Counterfactual Explanations without Opening the Black Box: Automated Decisions and the GPDR. Harv. JL \& Tech., 31, 841.

Lundberg, S. M., & Lee, S.-I. (2017). A unified approach to interpreting model predictions. Proceedings of the Advances in Neural Information Processing Systems, 4765–4774.

Kumar, I. E., Venkatasubramanian, S., Scheidegger, C., & Friedler, S. (2020). Problems with Shapley-value-based explanations as feature importance measures. http://arxiv.org/abs/2002.11097

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