Table S1. Grid search report for the threshold optimization in the threshold-based tumour-first aggregation method,,,,, Tumor_threshold,PTB_threshold,OP_threshold,NL_threshold,Micro_auc,Macro_auc 0.1,0.3,0.4,0.9,0.9704,0.9879 0.1,0.3,0.45,0.9,0.9704,0.9879 0.1,0.3,0.5,0.9,0.9704,0.9879 0.1,0.3,0.4,0.95,0.9704,0.9879 0.1,0.3,0.45,0.95,0.9704,0.9879 0.1,0.3,0.5,0.95,0.9704,0.9879 0.1,0.3,0.35,0.9,0.9704,0.9877 0.1,0.3,0.35,0.95,0.9704,0.9877 0.1,0.25,0.3,0.9,0.9704,0.9876 0.1,0.25,0.3,0.95,0.9704,0.9876 0.1,0.45,0.5,0.9,0.9703,0.9882 0.1,0.45,0.5,0.95,0.9703,0.9882 0.1,0.4,0.45,0.9,0.9703,0.988 0.1,0.4,0.5,0.9,0.9703,0.988 0.1,0.4,0.45,0.95,0.9703,0.988 0.1,0.4,0.5,0.95,0.9703,0.988 0.1,0.25,0.35,0.9,0.9703,0.9878 0.1,0.35,0.4,0.9,0.9703,0.9878 0.1,0.35,0.45,0.9,0.9703,0.9878 0.1,0.35,0.5,0.9,0.9703,0.9878 0.1,0.25,0.35,0.95,0.9703,0.9878 0.1,0.35,0.4,0.95,0.9703,0.9878 0.1,0.35,0.45,0.95,0.9703,0.9878 0.1,0.35,0.5,0.95,0.9703,0.9878 0.1,0.25,0.4,0.9,0.9702,0.9878 0.1,0.25,0.45,0.9,0.9702,0.9878 0.1,0.25,0.5,0.9,0.9702,0.9878 0.1,0.25,0.4,0.95,0.9702,0.9878 0.1,0.25,0.45,0.95,0.9702,0.9878 0.1,0.25,0.5,0.95,0.9702,0.9878 0.1,0.2,0.35,0.9,0.9702,0.9876 0.1,0.2,0.35,0.95,0.9702,0.9876 0.1,0.2,0.3,0.9,0.9702,0.9875 0.1,0.2,0.3,0.95,0.9702,0.9875 0.1,0.2,0.4,0.9,0.9701,0.9876 0.1,0.2,0.45,0.9,0.9701,0.9876 0.1,0.2,0.5,0.9,0.9701,0.9876 0.1,0.2,0.4,0.95,0.9701,0.9876 0.1,0.2,0.45,0.95,0.9701,0.9876 0.1,0.2,0.5,0.95,0.9701,0.9876 0.1,0.3,0.35,0.85,0.9686,0.9873 0.1,0.3,0.4,0.85,0.9685,0.9875 0.1,0.3,0.45,0.85,0.9685,0.9875 0.1,0.3,0.5,0.85,0.9685,0.9875 0.1,0.25,0.3,0.85,0.9685,0.9873 0.1,0.45,0.5,0.85,0.9684,0.9878 0.1,0.4,0.45,0.85,0.9684,0.9876 0.1,0.4,0.5,0.85,0.9684,0.9876 0.1,0.25,0.35,0.85,0.9684,0.9874 0.1,0.35,0.4,0.85,0.9684,0.9874 0.1,0.35,0.45,0.85,0.9684,0.9874 0.1,0.35,0.5,0.85,0.9684,0.9874 0.1,0.25,0.4,0.85,0.9683,0.9874 0.1,0.25,0.45,0.85,0.9683,0.9874 0.1,0.25,0.5,0.85,0.9683,0.9874 0.1,0.2,0.3,0.85,0.9683,0.9871 0.1,0.2,0.35,0.85,0.9682,0.9872 0.1,0.2,0.4,0.85,0.9682,0.9872 0.1,0.2,0.45,0.85,0.9682,0.9872 0.1,0.2,0.5,0.85,0.9682,0.9872 0.15,0.3,0.35,0.85,0.9678,0.9881 0.15,0.3,0.35,0.9,0.9678,0.9881 0.15,0.3,0.35,0.95,0.9678,0.9881 0.15,0.35,0.4,0.85,0.9677,0.9884 0.15,0.35,0.45,0.85,0.9677,0.9884 0.15,0.35,0.5,0.85,0.9677,0.9884 0.15,0.35,0.4,0.9,0.9677,0.9884 0.15,0.35,0.45,0.9,0.9677,0.9884 0.15,0.35,0.5,0.9,0.9677,0.9884 0.15,0.35,0.4,0.95,0.9677,0.9884 0.15,0.35,0.45,0.95,0.9677,0.9884 0.15,0.35,0.5,0.95,0.9677,0.9884 0.15,0.4,0.45,0.85,0.9677,0.9883 0.15,0.4,0.5,0.85,0.9677,0.9883 0.15,0.4,0.45,0.9,0.9677,0.9883 0.15,0.4,0.5,0.9,0.9677,0.9883 0.15,0.4,0.45,0.95,0.9677,0.9883 0.15,0.4,0.5,0.95,0.9677,0.9883 0.15,0.3,0.4,0.85,0.9677,0.9881 0.15,0.3,0.45,0.85,0.9677,0.9881 0.15,0.3,0.5,0.85,0.9677,0.9881 0.15,0.3,0.4,0.9,0.9677,0.9881 0.15,0.3,0.45,0.9,0.9677,0.9881 0.15,0.3,0.5,0.9,0.9677,0.9881 0.15,0.3,0.4,0.95,0.9677,0.9881 0.15,0.3,0.45,0.95,0.9677,0.9881 0.15,0.3,0.5,0.95,0.9677,0.9881 0.15,0.45,0.5,0.85,0.9676,0.9883 0.15,0.45,0.5,0.9,0.9676,0.9883 0.15,0.45,0.5,0.95,0.9676,0.9883 0.15,0.25,0.3,0.85,0.9676,0.9882 0.15,0.25,0.3,0.9,0.9676,0.9882 0.15,0.25,0.3,0.95,0.9676,0.9882 0.15,0.2,0.35,0.85,0.9676,0.9879 0.15,0.2,0.35,0.9,0.9676,0.9879 0.15,0.2,0.35,0.95,0.9676,0.9879 0.15,0.2,0.3,0.85,0.9676,0.9878 0.15,0.2,0.3,0.9,0.9676,0.9878 0.15,0.2,0.3,0.95,0.9676,0.9878 0.15,0.25,0.4,0.85,0.9675,0.9883 0.15,0.25,0.45,0.85,0.9675,0.9883 0.15,0.25,0.5,0.85,0.9675,0.9883 0.15,0.25,0.4,0.9,0.9675,0.9883 0.15,0.25,0.45,0.9,0.9675,0.9883 0.15,0.25,0.5,0.9,0.9675,0.9883 0.15,0.25,0.4,0.95,0.9675,0.9883 0.15,0.25,0.45,0.95,0.9675,0.9883 0.15,0.25,0.5,0.95,0.9675,0.9883 0.15,0.25,0.35,0.85,0.9675,0.9882 0.15,0.25,0.35,0.9,0.9675,0.9882 0.15,0.25,0.35,0.95,0.9675,0.9882 0.15,0.2,0.4,0.85,0.9675,0.9879 0.15,0.2,0.45,0.85,0.9675,0.9879 0.15,0.2,0.5,0.85,0.9675,0.9879 0.15,0.2,0.4,0.9,0.9675,0.9879 0.15,0.2,0.45,0.9,0.9675,0.9879 0.15,0.2,0.5,0.9,0.9675,0.9879 0.15,0.2,0.4,0.95,0.9675,0.9879 0.15,0.2,0.45,0.95,0.9675,0.9879 0.15,0.2,0.5,0.95,0.9675,0.9879 0.1,0.3,0.4,0.8,0.9672,0.9873 0.1,0.3,0.45,0.8,0.9672,0.9873 0.1,0.3,0.5,0.8,0.9672,0.9873 0.1,0.3,0.35,0.8,0.9672,0.9871 0.1,0.25,0.3,0.8,0.9671,0.9871 0.1,0.45,0.5,0.8,0.967,0.9876 0.1,0.4,0.45,0.8,0.967,0.9874 0.1,0.4,0.5,0.8,0.967,0.9874 0.1,0.25,0.35,0.8,0.967,0.9873 0.1,0.35,0.4,0.8,0.967,0.9872 0.1,0.35,0.45,0.8,0.967,0.9872 0.1,0.35,0.5,0.8,0.967,0.9872 0.1,0.25,0.4,0.8,0.9669,0.9873 0.1,0.25,0.45,0.8,0.9669,0.9873 0.1,0.25,0.5,0.8,0.9669,0.9873 0.1,0.2,0.3,0.8,0.9669,0.9869 0.15,0.3,0.35,0.8,0.9668,0.988 0.1,0.2,0.35,0.8,0.9668,0.9871 0.1,0.2,0.4,0.8,0.9668,0.9871 0.1,0.2,0.45,0.8,0.9668,0.9871 0.1,0.2,0.5,0.8,0.9668,0.9871 0.15,0.35,0.4,0.8,0.9667,0.9884 0.15,0.35,0.45,0.8,0.9667,0.9884 0.15,0.35,0.5,0.8,0.9667,0.9884 0.15,0.3,0.4,0.8,0.9667,0.988 0.15,0.3,0.45,0.8,0.9667,0.988 0.15,0.3,0.5,0.8,0.9667,0.988 0.15,0.4,0.45,0.8,0.9666,0.9883 0.15,0.4,0.5,0.8,0.9666,0.9883 0.15,0.45,0.5,0.8,0.9666,0.9883 0.15,0.25,0.3,0.8,0.9666,0.9881 0.15,0.25,0.35,0.8,0.9666,0.9881 0.15,0.25,0.4,0.8,0.9665,0.9882 0.15,0.25,0.45,0.8,0.9665,0.9882 0.15,0.25,0.5,0.8,0.9665,0.9882 0.15,0.2,0.35,0.8,0.9665,0.9878 0.15,0.2,0.3,0.8,0.9665,0.9877 0.15,0.2,0.4,0.8,0.9664,0.9878 0.15,0.2,0.45,0.8,0.9664,0.9878 0.15,0.2,0.5,0.8,0.9664,0.9878 0.2,0.3,0.35,0.8,0.9661,0.9887 0.2,0.3,0.4,0.8,0.9661,0.9887 0.2,0.3,0.45,0.8,0.9661,0.9887 0.2,0.3,0.5,0.8,0.9661,0.9887 0.2,0.35,0.4,0.8,0.9661,0.9887 0.2,0.35,0.45,0.8,0.9661,0.9887 0.2,0.35,0.5,0.8,0.9661,0.9887 0.2,0.4,0.45,0.8,0.9661,0.9887 0.2,0.4,0.5,0.8,0.9661,0.9887 0.2,0.45,0.5,0.8,0.9661,0.9887 0.2,0.3,0.35,0.85,0.9661,0.9887 0.2,0.3,0.4,0.85,0.9661,0.9887 0.2,0.3,0.45,0.85,0.9661,0.9887 0.2,0.3,0.5,0.85,0.9661,0.9887 0.2,0.35,0.4,0.85,0.9661,0.9887 0.2,0.35,0.45,0.85,0.9661,0.9887 0.2,0.35,0.5,0.85,0.9661,0.9887 0.2,0.4,0.45,0.85,0.9661,0.9887 0.2,0.4,0.5,0.85,0.9661,0.9887 0.2,0.45,0.5,0.85,0.9661,0.9887 0.2,0.3,0.35,0.9,0.9661,0.9887 0.2,0.3,0.4,0.9,0.9661,0.9887 0.2,0.3,0.45,0.9,0.9661,0.9887 0.2,0.3,0.5,0.9,0.9661,0.9887 0.2,0.35,0.4,0.9,0.9661,0.9887 0.2,0.35,0.45,0.9,0.9661,0.9887 0.2,0.35,0.5,0.9,0.9661,0.9887 0.2,0.4,0.45,0.9,0.9661,0.9887 0.2,0.4,0.5,0.9,0.9661,0.9887 0.2,0.45,0.5,0.9,0.9661,0.9887 0.2,0.3,0.35,0.95,0.9661,0.9887 0.2,0.3,0.4,0.95,0.9661,0.9887 0.2,0.3,0.45,0.95,0.9661,0.9887 0.2,0.3,0.5,0.95,0.9661,0.9887 0.2,0.35,0.4,0.95,0.9661,0.9887 0.2,0.35,0.45,0.95,0.9661,0.9887 0.2,0.35,0.5,0.95,0.9661,0.9887 0.2,0.4,0.45,0.95,0.9661,0.9887 0.2,0.4,0.5,0.95,0.9661,0.9887 0.2,0.45,0.5,0.95,0.9661,0.9887 0.2,0.25,0.35,0.8,0.966,0.9888 0.2,0.25,0.35,0.85,0.966,0.9888 0.2,0.25,0.35,0.9,0.966,0.9888 0.2,0.25,0.35,0.95,0.966,0.9888 0.2,0.25,0.3,0.8,0.966,0.9887 0.2,0.25,0.3,0.85,0.966,0.9887 0.2,0.25,0.3,0.9,0.966,0.9887 0.2,0.25,0.3,0.95,0.966,0.9887 0.2,0.25,0.4,0.8,0.9659,0.9888 0.2,0.25,0.45,0.8,0.9659,0.9888 0.2,0.25,0.5,0.8,0.9659,0.9888 0.2,0.25,0.4,0.85,0.9659,0.9888 0.2,0.25,0.45,0.85,0.9659,0.9888 0.2,0.25,0.5,0.85,0.9659,0.9888 0.2,0.25,0.4,0.9,0.9659,0.9888 0.2,0.25,0.45,0.9,0.9659,0.9888 0.2,0.25,0.5,0.9,0.9659,0.9888 0.2,0.25,0.4,0.95,0.9659,0.9888 0.2,0.25,0.45,0.95,0.9659,0.9888 0.2,0.25,0.5,0.95,0.9659,0.9888 0.1,0.3,0.4,0.75,0.9653,0.9874 0.1,0.3,0.45,0.75,0.9653,0.9874 0.1,0.3,0.5,0.75,0.9653,0.9874 0.1,0.25,0.3,0.75,0.9653,0.9872 0.1,0.3,0.35,0.75,0.9653,0.9872 0.1,0.45,0.5,0.75,0.9652,0.9877 0.1,0.4,0.45,0.75,0.9652,0.9875 0.1,0.4,0.5,0.75,0.9652,0.9875 0.1,0.25,0.35,0.75,0.9652,0.9873 0.1,0.25,0.4,0.75,0.9652,0.9873 0.1,0.25,0.45,0.75,0.9652,0.9873 0.1,0.25,0.5,0.75,0.9652,0.9873 0.1,0.35,0.4,0.75,0.9652,0.9873 0.1,0.35,0.45,0.75,0.9652,0.9873 0.1,0.35,0.5,0.75,0.9652,0.9873 0.1,0.2,0.3,0.75,0.9652,0.987 0.1,0.2,0.35,0.75,0.9651,0.9871 0.1,0.2,0.4,0.75,0.9651,0.9871 0.1,0.2,0.45,0.75,0.9651,0.9871 0.1,0.2,0.5,0.75,0.9651,0.9871 0.2,0.45,0.5,0.75,0.965,0.9885 0.15,0.4,0.45,0.75,0.965,0.9881 0.15,0.4,0.5,0.75,0.965,0.9881 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