{"id":573,"date":"2024-04-12T00:18:02","date_gmt":"2024-04-11T16:18:02","guid":{"rendered":"http:\/\/tobykskgd.life\/?p=573"},"modified":"2024-11-14T22:20:07","modified_gmt":"2024-11-14T14:20:07","slug":"25","status":"publish","type":"post","link":"https:\/\/tobykskgd.life\/index.php\/25\/","title":{"rendered":"\u674e\u5b8f\u6bc5\u673a\u5668\u5b66\u4e60\u8bfe\u7a0b\u7b14\u8bb0EP17"},"content":{"rendered":"\n

\u3010\u751f\u6210\u5f0f\u5bf9\u6297\u7f51\u7edcGAN\uff08\u4e0b\uff09\uff1a\u7406\u8bba\u4ecb\u7ecd\u4e0eWGAN+\u751f\u6210\u5668\u6548\u80fd\u8bc4\u4f30\u4e0e\u6761\u4ef6\u751f\u6210+Cycle GAN\u3011\u674e\u5b8f\u6bc52021\/2022\u6625\u673a\u5668\u5b66\u4e60\u8bfe\u7a0b\u7b14\u8bb0EP17\uff08P59-P61\uff09<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u4ece\u4eca\u5929\u5f00\u59cb\u6211\u5c06\u5b66\u4e60\u674e\u5b8f\u6bc5\u6559\u6388\u7684\u673a\u5668\u5b66\u4e60\u89c6\u9891\uff0c\u4e0b\u9762\u662f\u8bfe\u7a0b\u7684\u8fde\u63a5(\u5f3a\u63a8)\u674e\u5b8f\u6bc52021\/2022\u6625\u673a\u5668\u5b66\u4e60\u8bfe\u7a0b_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a>\u3002\u4e00\u5171\u6709155\u4e2a\u89c6\u9891\uff0c\u4e89\u53d6\u90fd\u5b66\u4e60\u5b8c\u6210\u5427\u3002<\/p>\n\n\n\n

\u90a3\u4e48\u9996\u5148\u8fd9\u95e8\u8bfe\u7a0b\u9700\u8981\u6709\u4e00\u5b9a\u7684\u4ee3\u7801\u57fa\u7840\uff0c\u7b80\u5355\u5b66\u4e60\u4e00\u4e0bPython\u7684\u57fa\u672c\u7528\u6cd5\uff0c\u8fd8\u6709\u91cc\u9762\u7684NumPy\u5e93\u7b49\u7b49\u7684\u57fa\u672c\u77e5\u8bc6\u3002\u518d\u5c31\u662f\u6570\u5b66\u65b9\u9762\u7684\u57fa\u7840\u5566\uff0c\u5fae\u79ef\u5206\u3001\u7ebf\u6027\u4ee3\u6570\u548c\u6982\u7387\u8bba\u7684\u57fa\u7840\u90fd\u662f\u542c\u61c2\u8fd9\u95e8\u8bfe\u5fc5\u987b\u7684\u3002<\/p>\n\n\n\n

\n\n\n\n

\u5173\u4e8eGAN\u5269\u4e0b\u7684\u4ecb\u7ecd\u53ef\u80fd\u4f1a\u6bd4\u8f83\u957f\uff0c\u4e0b\u9762\u4f1a\u5206\u4e09\u4e2a\u90e8\u5206\u6765\u8bb2\u5427\u3002<\/p>\n\n\n\n

\n\n\n\n

GAN\u7684\u7406\u8bba\u4ecb\u7ecd\u4e0eWGAN<\/h2>\n\n\n\n

\u9996\u5148\u662f\u5173\u4e8eGAN\u7684\u7406\u8bba\u4ecb\u7ecd\u4e0eWGAN\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u56de\u60f3\u4e0a\u4e00\u90e8\u5206\u5bf9\u4e8eGAN\u7684\u8bf4\u660e\uff0c\u9996\u5148GAN\u662f\u4e00\u4e2a\u751f\u6210\u7684\u795e\u7ecf\u7f51\u7edc\uff0c\u6211\u4eec\u505a\u7684\u662f\u5c06\u4e00\u4e2aDistribution\u653e\u5230generator\u91cc\u9762\uff0c\u7136\u540e\u5f97\u5230GAN\u751f\u6210\u51fa\u6765\u56fe\u7247\u7684\u5206\u5e03PG<\/sub>\uff0cPdata<\/sub>\u5c31\u662f\u6211\u4eec\u81ea\u5df1\u51c6\u5907\u7684\u60f3\u8ba9\u673a\u5668\u5b66\u5230\u7684\u6b63\u786e\u7684\u8d44\u6599\u96c6\u3002\u7136\u540e\u6211\u4eec\u7684\u76ee\u6807\u662f\u8ba9PG<\/sub>\u8ddfPdata<\/sub>\u4e4b\u95f4\u8d8a\u63a5\u8fd1\u8d8a\u597d\uff0c\u8fd9\u4e2a\u76ee\u6807\u7528\u6570\u5b66\u7684\u5f0f\u5b50\u6765\u8868\u793a\u7684\u8bdd\u5c31\u662f\uff1a<\/p>\n\n\n\n

G*<\/sup> = argminG<\/sub>Div(PG<\/sub>, Pdata<\/sub>)<\/p>\n\n\n\n

\u8ba9PG<\/sub>\u8ddfPdata<\/sub>\u4e4b\u95f4\u8d8a\u63a5\u8fd1\u8d8a\u597d\u6362\u53e5\u8bdd\u8bf4\u5c31\u662f\u627e\u5230\u4e00\u7ec4generator\u7684\u53c2\u6570\uff0c\u8ba9\u4ea7\u751f\u51fa\u6765\u7684\u8ba9PG<\/sub>\u8ddfPdata<\/sub>\u4e4b\u95f4\u7684Divergence\u8d8a\u5c0f\u8d8a\u597d\u3002<\/p>\n\n\n\n

\u4f46\u662f\u5728\u5b9e\u4f5c\u4e0a\uff0c\u6211\u4eec\u6839\u672c\u65e0\u6cd5\u77e5\u9053\u8fd9\u4e2aDivergence\u5982\u4f55\u53bb\u8ba1\u7b97\u3002\u56e0\u4e3a\u6211\u4eec\u4e0d\u77e5\u9053PG<\/sub>\u8ddfPdata<\/sub>\u7684\u5206\u5e03distribution\u3002<\/p>\n\n\n\n

\u4e0d\u8fc7\u597d\u5728\uff0c\u5176\u5b9e\u554a\uff0c\u4ecedistribution\u4e2d\u62bd\u6837\uff08simple\uff09\u7684\u6548\u679c\u5df2\u7ecf\u591f\u597d\u4e86\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u4e0d\u9700\u8981\u77e5\u9053PG<\/sub>\u8ddfPdata<\/sub>\u5b9e\u9645\u957f\u4ec0\u4e48\u6837\u5b50\uff0c\u53ea\u8981\u4ecePG<\/sub>\u8ddfPdata<\/sub>\u4e2d\u62bd\u6837\u53bb\u7b97\u6216\u8005\u8bf4\u4f30\u6d4bDivergence\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n\n\n\n

\u4e0b\u9762\u8bf4\u5982\u4f55\u53bb\u7b97\u8fd9\u4e2aDivergence\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u6211\u4eec\u66f4\u65b0Discriminator\u8981\u505a\u7684\u5c31\u662f\u8ba9\u5176\u80fd\u5206\u8fa8\u51fa\u6765\u751f\u6210\u7684\u56fe\u548c\u539f\u6765\u6570\u636e\u91cc\u7684\u56fe\uff0c\u8ba9\u5b83\u751f\u6210\u7684Scalar\u7ed9\u539f\u6570\u636e\u91cc\u7684\u56fe\u9ad8\u5206\uff0c\u7ed9\u751f\u6210\u51fa\u6765\u7684\u56fe\u4f4e\u5206\u3002<\/p>\n\n\n\n

\u4e0a\u9762\u8bf4\u7684\u8fd9\u4e2a\u64cd\u4f5c\u5bf9\u5e94\u7684\u5c31\u662f\u4e0a\u56fe\u53f3\u8fb9\u4e0b\u9762\u7684\u5f0f\u5b50\uff0c\u6211\u4eec\u671f\u671b\u7684\u662f\u8ba9Objective Function for D\u91cc\u7b97\u51fa\u6765\u7684V\uff08G, D\uff09\u7684\u503c\u8d8a\u5927\u8d8a\u597d\u3002\u4e5f\u5c31\u662f\u8ba9Objective Function for D\u5f0f\u5b50\u91cc\u9762\u7684logD(y)\u8d8a\u5927\u8d8a\u597d\uff0c\u7136\u540e\u8ba9log(1 – D(y))\u8d8a\u5c0f\u8d8a\u597d\u3002<\/p>\n\n\n\n

Discriminator\u5c31\u662f\u4e00\u4e2a\u5206\u7c7b\u7684Network\uff0c\u4e4b\u524d\u7684\u8bfe\u7a0b\u91cc\u9762\u8bf4\u8bc4\u4ef7\u4e00\u4e2a\u5206\u7c7b\u7684Network\u6548\u679c\u597d\u574f\u7684\u6307\u6807\u662f\u4ea4\u53c9\u71b5\uff08cross entropy\uff09\uff0c\u6211\u4eec\u5f97\u5230\u7684\u8fd9\u4e2aV(G, D)\u5c31\u662f\u4e00\u4e2a\u8d1f\u7684\u4ea4\u53c9\u71b5\uff0c\u6240\u4ee5\u8fd9\u4e2a\u503c\u5c31\u53ef\u4ee5\u53bb\u8bc4\u5224\u5206\u7c7b\u5668\u7684\u597d\u574f\u3002<\/p>\n\n\n\n

\u7136\u540e\u8fd9\u4e2aTraining\u91cc\u9762\u7684D*<\/sup>\u503c\uff0c\u5176\u5b9e\u662f\u548cJS divergence\u6709\u5173\u7684\u3002<\/p>\n\n\n\n

\u6240\u4ee5\u56de\u5230\u6211\u4eec\u521a\u624d\u7684\u5982\u4f55\u8ba1\u7b97divergence\u503c\u7684\u95ee\u9898\uff0c\u6211\u4eec\u8981\u505a\u7684\u5c31\u662f\u8bad\u7ec3\u4e00\u4e2aDiscriminator\uff0c\u7136\u540e\u770bObjective function\u53ef\u4ee5\u5230\u591a\u5927\uff0c\u7136\u540e\u8fd9\u4e2a\u6700\u5927\u7684\u503c\u5c31\u662f\u548cdivergence\u6709\u5173\uff0c\u4e5f\u5c31\u662f\u5927\u81f4\u53ef\u4ee5\u770b\u4f5cdivergence\u3002<\/p>\n\n\n\n

\u81f3\u4e8e\u4e3a\u4ec0\u4e48\u8fd9\u4e2a\u503c\u548cdivergence\u6709\u5173\uff0c\u8fd9\u91cc\u53ea\u505a\u4e00\u4e2a\u7b80\u5355\u7684\u89e3\u91ca\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u5c31\u662f\u5c0f\u7684divergence\uff0c\u5b83\u7684\u610f\u601d\u5c31\u662fPG<\/sub>\u8ddfPdata<\/sub>\u4e4b\u95f4\u5dee\u7684\u4e0d\u662f\u5f88\u5927\uff0c\u5c31\u662f\u8bf4\u5b83\u4eec\u96be\u4ee5\u5206\u5f00\uff0c\u8fd9\u4e2a\u5c31\u5bf9\u5e94\u4e86V(D, G)\u7684\u503c\u6bd4\u8f83\u5c0f\u3002\u53cd\u8fc7\u6765\u8bf4\uff0c\u5c31\u662f\u5927\u7684divergence\uff0c\u5b83\u7684\u610f\u601d\u5c31\u662fPG<\/sub>\u8ddfPdata<\/sub>\u4e4b\u95f4\u5dee\u7684\u5f88\u5927\uff0c\u5c31\u662f\u8bf4\u5b83\u4eec\u53ef\u4ee5\u8f7b\u6613\u5206\u5f00\uff0c\u8fd9\u4e2a\u5c31\u5bf9\u5e94\u4e86V(D, G)\u7684\u503c\u6bd4\u8f83\u5927\u3002<\/p>\n\n\n\n

\u8ba9\u7136\u8fd9\u4e2a\u53ea\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u89e3\u91ca\uff0c\u5982\u679c\u4e0d\u80fd\u8ba9\u4f60\u4fe1\u670d\uff0c\u53ef\u4ee5\u53bb\u627e\u5230\u8bfe\u7a0b\u91cc\u9762GAN\u6700\u539f\u59cb\u7684\u90a3\u7bc7Paper\uff0c\u91cc\u9762\u5e94\u8be5\u5199\u7684\u4f1a\u6bd4\u8f83\u8be6\u7ec6\u3002<\/p>\n\n\n\n

\u56e0\u4e3adivergence\u4e0d\u597d\u6c42\uff0c\u6240\u4ee5\u6211\u4eec\u9009\u62e9\u6c42\u6700\u5c0f\u7684V(PG<\/sub>, Pdata<\/sub>)\u7528\u8fd1\u4f3c\u503c\u6765\u4ee3\u66ff\u3002\u6211\u4eec\u5728\u505a\u8fd9\u4e00\u6b65\u7684\u65f6\u5019\u5c31\u662f\u5982\u4e0b\u56fe\u91cc\u9762\u8fd9\u6837\u671f\u671bG\u8fd9\u91cc\u5c0f\uff0cD\u8fd9\u91cc\u7684\u5927\u3002\u7136\u540e\u7528\u8fd9\u4e2aD\u91cc\u9762\u6700\u5927\u7684V(D, G)\u8054\u7cfb\u5230JS divergence\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u6211\u4eec\u521a\u521a\u8bf4\u7684\u8fd9\u4e9b\u64cd\u4f5c\uff0c\u5176\u5b9e\u5c31\u5bf9\u5e94\u7684\u662f\u4e0a\u6b21GAN\u91cc\u9762\u8bf4\u7684\u8bad\u7ec3\u6b65\u9aa4\uff1a\u5148\u56fa\u5b9a\u4f4fgenerator\u7136\u540e\u66f4\u65b0discriminator\uff0c\u518d\u56fa\u5b9a\u4f4fdiscriminator\uff0c\u7136\u540e\u66f4\u65b0generator\u3002<\/p>\n\n\n\n

\u5f53\u7136\u4f60\u4e5f\u53ef\u4ee5\u4e0d\u662f\u4f7f\u7528JS divergence\uff0c\u8fd8\u6709\u8bb8\u591adivergence\u53ef\u4ee5\u53bb\u8054\u7cfb\uff0c\u4e0d\u8fc7\u9700\u8981\u4e00\u4e9b\u7279\u6b8a\u7684\u65b9\u6cd5\uff0c\u4f60\u53ef\u4ee5\u53bb\u770b\u770b\u4e0b\u9762\u5bf9\u5e94\u7684Paper\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u8fd9\u91cc\u8bfe\u7a0b\u91cc\u9762\u8001\u5e08\u5176\u5b9e\u4e5f\u6ca1\u6709\u4ecb\u7ecddivergence\u662f\u4ec0\u4e48\u5566\uff0c\u5982\u679c\u4f60\u5bf9\u8fd9\u4e2adivergence\u662f\u4ec0\u4e48\u611f\u5230\u7591\u60d1\u5e76\u4e14\u50cf\u77e5\u9053\u8fd9\u662f\u4ec0\u4e48\u7684\u8bdd\u53ef\u4ee5\u5728\u7f51\u8def\u4e0a\u9762\u81ea\u5df1\u53bb\u5b66\u4e60\u3002<\/p>\n\n\n\n

\u6839\u636e\u4e0a\u9762\u7684\u8fd9\u4e9b\u8bb2\u89e3\uff0c\u4f60\u5c31\u53ef\u4ee5\u53d1\u73b0\u5176\u5b9e\u8bad\u7ec3\u4e00\u4e2aGAN\u662f\u5f88\u56f0\u96be\u7684\u3002\u6b63\u6240\u8c13\u201cNO PAIN NO GAN (GAIN)\u201d\u561b\uff0c\u6240\u4ee5\u6211\u4eec\u9700\u8981\u4e00\u4e9b\u8bad\u7ec3GAN\u7684\u5c0ftips\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u9996\u5148\u8981\u8bf4\u660e\u7684\u662f\uff0c\u521a\u624d\u6211\u4eec\u53bb\u8054\u7cfb\u7684JS divergence\u5176\u5b9e\u4e0d\u662f\u771f\u6b63\u7684JS divergence\uff0c\u662f\u505a\u4e86\u4e00\u4e9b\u4fee\u6539\u7684JS divergence\uff0c\u56e0\u4e3a\u771f\u6b63\u7684JS divergence\u5176\u5b9e\u662f\u4e0d\u9002\u5408\u7528\u5728GAN\u4e0a\u9762\u7684\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u56e0\u4e3a\u5982\u679c\u4e24\u4e2aDistribution\u5982\u679c\u6ca1\u6709\u91cd\u53e0\u7684\u90e8\u5206\u7684\u8bdd\uff0cJS divergence\u7b97\u51fa\u6765\u7684\u7ed3\u679c\u5c31\u6c38\u8fdc\u662f0\u3002<\/p>\n\n\n\n

\u4f46\u53c8\u6070\u6070\u5176\u5b9e\u5728GAN\u4e2d\uff0cPG<\/sub>\u8ddfPdata<\/sub>\u91cd\u53e0\u7684\u8303\u56f4\u5176\u5b9e\u662f\u975e\u5e38\u5c0f\u7684\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u8fd9\u4e5f\u5c31\u5bfc\u81f4\u4e86\uff0c\u6211\u4eec\u5728\u4e00\u6b65\u6b65\u8bad\u7ec3generator\u7684\u65f6\u5019\uff0c\u8ba9PG<\/sub>\u8ddfPdata<\/sub>\u6162\u6162\u9760\u8fd1\uff0c\u76f4\u81f3\u8fd1\u4e4e\u91cd\u53e0\uff0c\u4f46\u662f\u5728\u8fd8\u6ca1\u6709\u5f00\u59cb\u91cd\u53e0\uff0cPG<\/sub>\u8ddfPdata<\/sub>\u53ea\u662f\u6162\u6162\u9760\u8fd1\u7684\u65f6\u5019\uff0cJS divergence\u4e0a\u9762\u662f\u770b\u4e0d\u51fa\u6765\u7684\uff0c\u6211\u4eec\u5e76\u4e0d\u77e5\u9053\u4e00\u5f00\u59cbgenerator\u662f\u4e0d\u662f\u6709\u5728\u771f\u6b63\u53d8\u597d\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u6240\u4ee5\u6211\u4eec\u4e5f\u5728\u8003\u8651\u662f\u4e0d\u662f\u53ef\u4ee5\u6362\u4e00\u4e2a\u6307\u6807\u53bb\u8861\u91cfPG<\/sub>\u8ddfPdata<\/sub>\u662f\u5426\u5728\u63a5\u8fd1\u3002\u6211\u4eec\u5c06PG<\/sub>\u8ddfPdata<\/sub>\u76f4\u63a5\u7684\u8ddd\u79bb\u5199\u6210d\uff0c\u8ba9\u8fd9\u4e2ad\u4f5c\u4e3aPG<\/sub>\u8ddfPdata<\/sub>\u662f\u5426\u63a5\u8fd1\u7684\u6307\u6807\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u90a3\u8fd9\u4e2a\u64cd\u4f5c\u5176\u5b9e\u5f88\u60f3\u63a8\u571f\u673a\u5566\uff0c\u5c31\u662f\u628a\u4e00\u5f00\u59cb\u4e0d\u50cfPdata<\/sub>\u7684PG<\/sub>\u505a\u4e00\u4e9b\u53d8\u5316\uff0c\u628a\u5b83\u201c\u63a8\u201d\u6210Pdata<\/sub>\u7684\u6837\u5b50\uff0c\u7136\u540e\u6211\u4eec\u679a\u4e3ePG<\/sub>\u5e73\u5747\u63a8\u571f\u6700\u77ed\u7684\u8ddd\u79bb\u5f53\u4f5cWassertein distance\uff0c\u8fd9\u4e2aWassertein distance\u4f5c\u4e3a\u65b0\u7684\u8861\u91cfPG<\/sub>\u8ddfPdata<\/sub>\u662f\u5426\u63a5\u8fd1\u7684\u6307\u6807d\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\u521a\u521a\u6211\u4eec\u8bf4\u5c31\u7b97Wasserstein distance\u7684\u95ee\u9898\u5c31\u76f8\u5f53\u4e8eOptimization\u7684\u95ee\u9898\uff0c\u4f46\u662fOptimization\u7684\u95ee\u9898\u662f\u6bd4\u8f83\u68d8\u624b\u7684\uff0c\u8fd9\u91cc\u6211\u4eec\u76f4\u63a5\u8bf4\u7ed3\u8bba\uff0c\u6211\u4eec\u53ea\u8981\u89e3\u4e0b\u9762\u8fd9\u4e2a\u5f0f\u5b50\u5c31\u53ef\u4ee5\u5f97\u5230Wassertein distance\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n
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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n
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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n
\n\n\n\n

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