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Table 4 Classification performance on Warwick-QU dataset

From: Texture features in the Shearlet domain for histopathological image classification

Method

Perf

RP + Magnitude

RP

Magnitude

SVM

DTB

SVM

DTB

SVM

DTB

(1): Baseline performance of existing Shearlet-based methods

Vo et al.

ACC%

\(\underline{93} .\underline{35} \% \pm \underline{5} .\underline{23} \%\)

\(86.14\% \pm 6.10\%\)

\(92.13\% \pm 8.53\%\)

\(85.55\% \pm 6.83\%\)

\(73.31\% \pm 11.27\%\)

\(73.97 \% \pm 12.26\%\)

AUC

\(\underline{0} .\underline{9802} \pm \underline{0} .\underline{0351}\)

\(0.9362 \pm 0.0347\)

\(0.9829 \pm 0.0345\)

\(0.9338 \pm 0.0437\)

\(0.8157 \pm 0.0998\)

\(0.8163 \pm 0.1047\)

Sen

\(\underline{0} .\underline{8929} \pm \underline{0} .\underline{1349}\)

\(0.8804 \pm 0.1107\)

\(0.8661 \pm 0.1661\)

\(0.8018 \pm 0.1201\)

\(0.6750 \pm 0.1976\)

\(0.6625 \pm 0.1872\)

Prec

\(\underline{0} .\underline{9639} \pm \underline{0} .\underline{0583}\)

\(0.8294 \pm 0.0786\)

\(0.9579 \pm 0.0690\)

\(0.8696 \pm 0.0766\)

\(0.7256 \pm 0.1569\)

\(0.7324 \pm 0.1391\)

Meshkini and Ghassemian

ACC%

\(\textit{82.54}\% \pm \textit{8.52}\%\)

\(\textit{87.90}\% \pm \textit{6.25}\%\)

\(\textit{86.14}\% \pm \textit{7.25}\%\)

\(\textit{84.23}\% \pm \textit{9.54}\%\)

\(81.95\% \pm 8.73\%\)

\(84.38 \% \pm 8.86\%\)

AUC

\(\textit{0.9462} \pm \textit{0.0326}\)

\(\textit{0.9331} \pm \textit{0.0592}\)

\(\textit{0.9293} \pm \textit{0.0512}\)

\(\textit{0.8800} \pm \textit{0.0676}\)

\(0.9013 \pm 0.0455\)

\(0.9329 \pm 0.0546\)

Sen

\(\textit{0.7214} \pm \textit{0.1475}\)

\(\textit{0.7821} \pm \textit{0.1380}\)

\(\textit{0.7589} \pm \textit{0.1892}\)

\(\textit{0.7286} \pm \textit{0.1828}\)

\(0.7196 \pm 0.1409\)

\(0.8196 \pm 0.1896\)

Prec

\(\textit{0.8707} \pm \textit{0.0937}\)

\(\textit{0.9389} \pm \textit{0.0811}\)

\(\textit{0.9324} \pm \textit{0.0921}\)

\(\textit{0.8973} \pm \textit{0.1164}\)

\(0.8574 \pm 0.1125\)

\(0.8519 \pm 0.1161\)

Zhou et al.

ACC%

\(\textit{63.60}\% \pm \textit{7.56}\%\)

\(\textit{75.85}\% \pm \textit{8.72}\%\)

\(\textit{55.15}\% \pm \textit{8.52}\%\)

\(\textit{67.76}\% \pm \textit{10.21}\%\)

\(58.79\% \pm 6.61\%\)

\(72.21 \% \pm 9.57\%\)

AUC

\(\textit{0.6752} \pm \textit{0.1375}\)

\(\textit{0.8544} \pm \textit{0.1017}\)

\(\textit{0.5771} \pm \textit{0.1091}\)

\(\textit{0.6769} \pm \textit{0.1280}\)

\(0.6006 \pm 0.1252\)

\(0.7699 \pm 0.1103\)

Sen

\(\textit{0.4571} \pm \textit{0.1358}\)

\(\textit{0.5964} \pm \textit{0.1550}\)

\(\textit{0.4054} \pm \textit{0.1296}\)

\(\textit{0.4804} \pm \textit{0.1944}\)

\(0.3375 \pm 0.1814\)

\(0.5821 \pm 0.1092\)

Prec

\(\textit{0.6442} \pm \textit{0.1660}\)

\(\textit{0.8349} \pm \textit{0.1336}\)

\(\textit{0.5157} \pm \textit{0.1430}\)

\(\textit{0.6812} \pm \textit{0.1553}\)

\(0.5764 \pm 0.1998\)

\(0.7665 \pm 0.1601\)

Dong et al.

ACC%

\(\textit{91.58}\% \pm \textit{6.33}\%\)

\(\textit{86.07}\% \pm \textit{11.08}\%\)

\(\textit{79.96}\% \pm \textit{6.46}\%\)

\(\textit{83.57}\% \pm \textit{12.54}\%\)

\(83.13\% \pm 5.94\%\)

\(75.74\% \pm 5.06\%\)

AUC

\(\textit{0.9777} \pm \textit{0.0372}\)

\(\textit{0.9345} \pm \textit{0.0743}\)

\(\textit{0.9234} \pm \textit{0.0547}\)

\(\textit{0.9297} \pm \textit{0.0829}\)

\(0.9342 \pm 0.0507\)

\(0.8575 \pm 0.0826\)

Sen

\(\textit{0.9589} \pm \textit{0.0663}\)

\(\textit{0.8125} \pm \textit{0.1831}\)

\(\textit{0.8089} \pm \textit{0.1007}\)

\(\textit{0.7536} \pm \textit{0.2074}\)

\(0.8143 \pm 0.1381\)

\(0.6625 \pm 0.1112\)

Prec

\(\textit{0.8844} \pm \textit{0.1172}\)

\(\textit{0.8661} \pm \textit{0.1076}\)

\(0.7673 \pm 0.0976\)

\(\textit{0.8843} \pm \textit{0.1575}\)

\(0.8252 \pm 0.0942\)

\(0.7731 \pm 0.0968\)

(2): Proposed Shearlet-based methods for textured bio-medical image classification

CM

ACC%

\(\underline{95} .\underline{70} \% \pm \underline{7} .\underline{80} \%\)

\(86.76\% \pm 5.35\%\)

\(92.61\% \pm 8.25\%\)

\(84.82\% \pm 8.92\%\)

\(85.40\% \pm 6.56\%\)

\(78.20\% \pm 13.74\%\)

AUC

\(\underline{0} .\underline{9860} \pm \underline{0} .\underline{0353}\)

\(0.9427 \pm 0.0347\)

\(0.9709 \pm 0.0457\)

\(0.9372 \pm 0.0451\)

\(0.9440 \pm 0.0462\)

\(0.8992 \pm 0.0653\)

Sen

\(\underline{0} .\underline{9446} \pm \underline{0} .\underline{0983}\)

\(0.8679 \pm 0.1226\)

\(0.9304 \pm 0.0736\)

\(0.7946 \pm 0.1404\)

\(0.7946 \pm 0.0782\)

\(0.7214 \pm 0.2090\)

Prec

\(\underline{0} .\underline{9589} \pm \underline{0} .\underline{0945}\)

\(0.8483\pm 0.0682\)

\(0.9181 \pm 0.1222\)

\(0.8691 \pm 0.1277\)

\(0.8708 \pm 0.1060\)

\(0.7756 \pm 0.1485\)

LBP

ACC%

\(88.49\% \pm 5.25\%\)

\(86.69\% \pm 7.24\%\)

\(84.12\% \pm 7.49\%\)

\(80.00\% \pm 11.99\%\)

\(89.71\% \pm 9.45\%\)

\(82.43\% \pm 8.30\%\)

AUC

\(0.9592 \pm 0.0544\)

\(0.9418 \pm 0.0416\)

\(0.9500 \pm 0.0670\)

\(0.8944 \pm 0.0836\)

\(0.9419 \pm 0.0538\)

\(0.9248 \pm 0.0388\)

Sen

\(0.8821 \pm 0.1152\)

\(0.7982 \pm 0.1223\)

\(0.8518 \pm 0.1021\)

\(0.7625 \pm 0.1762\)

\(0.8946 \pm 0.1305\)

\(0.7304 \pm 0.1685\)

Prec

\(0.8770 \pm 0.0955\)

\(0.9000 \pm 0.0905\)

\(0.8292 \pm 0.1426\)

\(0.7921 \pm 0.1434\)

\(0.8825 \pm 0.1080\)

\(0.8649 \pm 0.1017\)

LOSIB

ACC%

\(92.57\% \pm 9.24\%\)

\(87.21\% \pm 5.39\%\)

\(89.52\% \pm 7.85\%\)

\(87.43\% \pm 10.53\%\)

\(79.34\% \pm 5.33\%\)

\(76.80\% \pm 10.66\%\)

AUC

\(0.9798 \pm 0.0395\)

\(0.9346 \pm 0.0432\)

\(0.9671 \pm 0.0554\)

\(0.9344 \pm 0.0570\)

\(0.9153 \pm 0.0601\)

\(0.8679 \pm 0.0907\)

Sen

\(0.9446 \pm 0.0983\)

\(0.7964 \pm 0.1155\)

\(0.8464 \pm 0.1258\)

\(0.8411 \pm 0.1442\)

\(0.7732 \pm 0.1465\)

\(0.7125 \pm 0.1685\)

Prec

\(0.9042 \pm 0.1255\)

\(0.9177 \pm 0.0902\)

\(0.9264 \pm 0.1119\)

\(0.8792 \pm 0.1265\)

\(0.7983 \pm 0.1328\)

\(0.7579 \pm 0.1123\)

SFTA

ACC%

\(94.52\% \pm 7.47\%\)

\(87.76\% \pm 5.95\%\)

\(92.68\% \pm 7.06\%\)

\(84.23\% \pm 10.17\%\)

\(85.99\% \pm 7.09\%\)

\(82.39\% \pm 6.18\%\)

AUC

\(0.9846 \pm 0.0350\)

\(0.9353 \pm 0.0469\)

\(0.9739 \pm 0.0416\)

\(0.9192 \pm 0.0937\)

\(0.9515 \pm 0.0410\)

\(0.9119 \pm 0.0692\)

Sen

\(0.9196 \pm 0.0968\)

\(0.8196 \pm 0.1576\)

\(0.9179 \pm 0.0710\)

\(0.7821 \pm 0.1301\)

\(0.7946 \pm 0.0979\)

\(0.8286 \pm 0.1203\)

Prec

\(0.9589 \pm 0.0945\)

\(0.9107 \pm 0.0869\)

\(0.9246 \pm 0.1059\)

\(0.8767 \pm 0.1447\)

\(0.8798 \pm 0.0881\)

\(0.8186 \pm 0.1372\)

(3): Integrating Shearlet-based existing techniques with our proposed methods

Fusion #1

ACC%

\(95.11\% \pm 7.67\%\)

\(88.42\% \pm 7.84\%\)

\(92.65\% \pm 8.26\%\)

\(92.06\% \pm 7.23\%\)

\(87.83\% \pm 5.07\%\)

\(79.45\% \pm 10.88\%\)

AUC

\(0.9860 \pm 0.0353\)

\(0.9527 \pm 0.0475\)

\(0.9721 \pm 0.0511\)

\(0.9645 \pm 0.0603\)

\(0.9651 \pm 0.0302\)

\(0.8867 \pm 0.0704\)

Sen

\(0.9321 \pm 0.0985\)

\(0.8750 \pm 0.0807\)

\(0.9321 \pm 0.0718\)

\(0.9196 \pm 0.0968\)

\(0.8661 \pm 0.0597\)

\(0.7429 \pm 0.1543\)

Prec

\(0.9589 \pm 0.0945\)

\(0.8833 \pm 0.1277\)

\(0.9181 \pm 0.1222\)

\(0.9125 \pm 0.1006\)

\(0.8724 \pm 0.0991\)

\(0.8111 \pm 0.1621\)

Fusion #2

ACC%

\(\underline{96} .\underline{29} \% \pm \underline{7} .\underline{89} \%\)

\(90.99\% \pm 7.13\%\)

\(92.02\% \pm 7.86\%\)

\(90.81\% \pm 8.42\%\)

\(87.79\% \pm 5.90\%\)

\(79.26\% \pm 8.62\%\)

AUC

\(\underline{0} .\underline{9860} \pm \underline{0} .\underline{0353}\)

\(0.9580 \pm 0.0446\)

\(0.9734 \pm 0.0525\)

\(0.9696 \pm 0.0369\)

\(0.9601 \pm 0.0322\)

\(0.8843 \pm 0.0919\)

Sen

\(\underline{0} .\underline{9571} \pm \underline{0} .\underline{0964}\)

\(0.9232 \pm 0.0887\)

\(0.9304 \pm 0.0736\)

\(0.9446 \pm 0.0983\)

\(0.8786 \pm 0.0436\)

\(0.7411 \pm 0.1399\)

Prec

\(\underline{0} .\underline{9589} \pm \underline{0} .\underline{0945}\)

\(0.8913 \pm 0.1026\)

\(0.9069 \pm 0.1189\)

\(0.8783 \pm 0.1274\)

\(0.8682 \pm 0.1247\)

\(0.7994 \pm 0.1370\)

Fusion #3

ACC%

\(94.49\% \pm 7.47\%\)

\(85.48 \% \pm 9.86\%\)

-

-

-

-

AUC

\(0.9860 \pm 0.0353\)

\(0.9523 \pm 0.0570\)

-

-

-

-

Sen

\(0.9304 \pm 0.0998\)

\(0.8161 \pm 0.1473\)

-

-

-

-

Prec

\(0.9478 \pm 0.0957\)

\(0.8718 \pm 0.1454\)

-

-

-

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  1. The results shown in italic are of experiments that are not explored in the original research papers
  2. The underlined classification results represent the highest results for each corresponding section