Dimension of feature vectors for classification task in the DCGAN paper












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I am trying to implement one of the section in the DCGAN paper (https://arxiv.org/pdf/1511.06434.pdf) i.e. Using the Discriminator network trained on ImageNet-1k as a feature extractor to classify images in the CIFAR-10 dataset. However, I could not understand how to compute the dimension of 28672 of the feature vectors after concatenating outputs from all convolutional layers of the Discriminator.



I followed the paper and implement a maxpooling layer of size and stride (2, 2) (the paper did not specify this.) after each convolutional layer in the Discriminator network (there are 5 layers in total). However, after concatenating the dimension of the vector that I got is a dimension of $30,720$ as follows:



$$16 times 16 times 64 + 8 times 8 times 128 + 4 times 4 times 256 + 2 times 2 times 512 + 1 times 1 times 1= 16,384 + 8,192 + 4,096 + 2,048 + 1= 30,721.$$



If I just take the 3 first layers, then the dimension is $28,672$ as specified in the paper. However, the authors have said that:




To evaluate the quality of the representations learned by DCGANs for supervised tasks, we train on Imagenet-1k and then use the discriminator’s convolutional features from all layers, maxpooling each layers representation to produce a 4 × 4 spatial grid. These features are then flattened and concatenated to form a 28672 dimensional vector and a regularized linear L2-SVM classifier is trained on top of them.




So I think I have got something wrong. Would anyone please kindly explain for me how to get the dimension of the vectors as mentioned in the paper?



Thank you so much in advance for your help!










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    $begingroup$


    I am trying to implement one of the section in the DCGAN paper (https://arxiv.org/pdf/1511.06434.pdf) i.e. Using the Discriminator network trained on ImageNet-1k as a feature extractor to classify images in the CIFAR-10 dataset. However, I could not understand how to compute the dimension of 28672 of the feature vectors after concatenating outputs from all convolutional layers of the Discriminator.



    I followed the paper and implement a maxpooling layer of size and stride (2, 2) (the paper did not specify this.) after each convolutional layer in the Discriminator network (there are 5 layers in total). However, after concatenating the dimension of the vector that I got is a dimension of $30,720$ as follows:



    $$16 times 16 times 64 + 8 times 8 times 128 + 4 times 4 times 256 + 2 times 2 times 512 + 1 times 1 times 1= 16,384 + 8,192 + 4,096 + 2,048 + 1= 30,721.$$



    If I just take the 3 first layers, then the dimension is $28,672$ as specified in the paper. However, the authors have said that:




    To evaluate the quality of the representations learned by DCGANs for supervised tasks, we train on Imagenet-1k and then use the discriminator’s convolutional features from all layers, maxpooling each layers representation to produce a 4 × 4 spatial grid. These features are then flattened and concatenated to form a 28672 dimensional vector and a regularized linear L2-SVM classifier is trained on top of them.




    So I think I have got something wrong. Would anyone please kindly explain for me how to get the dimension of the vectors as mentioned in the paper?



    Thank you so much in advance for your help!










    share|improve this question







    New contributor




    Sophil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







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      $begingroup$


      I am trying to implement one of the section in the DCGAN paper (https://arxiv.org/pdf/1511.06434.pdf) i.e. Using the Discriminator network trained on ImageNet-1k as a feature extractor to classify images in the CIFAR-10 dataset. However, I could not understand how to compute the dimension of 28672 of the feature vectors after concatenating outputs from all convolutional layers of the Discriminator.



      I followed the paper and implement a maxpooling layer of size and stride (2, 2) (the paper did not specify this.) after each convolutional layer in the Discriminator network (there are 5 layers in total). However, after concatenating the dimension of the vector that I got is a dimension of $30,720$ as follows:



      $$16 times 16 times 64 + 8 times 8 times 128 + 4 times 4 times 256 + 2 times 2 times 512 + 1 times 1 times 1= 16,384 + 8,192 + 4,096 + 2,048 + 1= 30,721.$$



      If I just take the 3 first layers, then the dimension is $28,672$ as specified in the paper. However, the authors have said that:




      To evaluate the quality of the representations learned by DCGANs for supervised tasks, we train on Imagenet-1k and then use the discriminator’s convolutional features from all layers, maxpooling each layers representation to produce a 4 × 4 spatial grid. These features are then flattened and concatenated to form a 28672 dimensional vector and a regularized linear L2-SVM classifier is trained on top of them.




      So I think I have got something wrong. Would anyone please kindly explain for me how to get the dimension of the vectors as mentioned in the paper?



      Thank you so much in advance for your help!










      share|improve this question







      New contributor




      Sophil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I am trying to implement one of the section in the DCGAN paper (https://arxiv.org/pdf/1511.06434.pdf) i.e. Using the Discriminator network trained on ImageNet-1k as a feature extractor to classify images in the CIFAR-10 dataset. However, I could not understand how to compute the dimension of 28672 of the feature vectors after concatenating outputs from all convolutional layers of the Discriminator.



      I followed the paper and implement a maxpooling layer of size and stride (2, 2) (the paper did not specify this.) after each convolutional layer in the Discriminator network (there are 5 layers in total). However, after concatenating the dimension of the vector that I got is a dimension of $30,720$ as follows:



      $$16 times 16 times 64 + 8 times 8 times 128 + 4 times 4 times 256 + 2 times 2 times 512 + 1 times 1 times 1= 16,384 + 8,192 + 4,096 + 2,048 + 1= 30,721.$$



      If I just take the 3 first layers, then the dimension is $28,672$ as specified in the paper. However, the authors have said that:




      To evaluate the quality of the representations learned by DCGANs for supervised tasks, we train on Imagenet-1k and then use the discriminator’s convolutional features from all layers, maxpooling each layers representation to produce a 4 × 4 spatial grid. These features are then flattened and concatenated to form a 28672 dimensional vector and a regularized linear L2-SVM classifier is trained on top of them.




      So I think I have got something wrong. Would anyone please kindly explain for me how to get the dimension of the vectors as mentioned in the paper?



      Thank you so much in advance for your help!







      convnet feature-extraction convolution gan






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      Sophil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











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      Sophil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









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