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I am training a VGG net on STL-10 dataset

I am getting Top-5 validation accuracy about 98% and Top-1 validation accuracy about 83%

But both the Top-1 and Top-5 Training accuracy is reaching 100%

Does this mean that the network is over-fitting? Or not?

Code::

def conv2d(inp,name,kshape,s):
    with tf.variable_scope(name) as scope:
        kernel = get_weights('weights',shape=kshape)
        conv = tf.nn.conv2d(inp,kernel,[1,s,s,1],'SAME')
        bias = get_bias('biases',shape=kshape[3])
        preact = tf.nn.bias_add(conv,bias)
        convlayer = tf.nn.relu(preact,name=scope.name)
    return convlayer

def maxpool(inp,name,k,s):
    return tf.nn.max_pool(inp,ksize=[1,k,k,1],strides=[1,s,s,1],padding='SAME',name=name)

def loss(logits,labels):
    labels = tf.reshape(tf.cast(labels,tf.int64),[-1])
    #print labels.get_shape().as_list(),logits.get_shape().as_list()
    cross_entropy = tf.nn.sparse_softmax_cross_entropy_with_logits(labels=labels,logits=logits,name='cross_entropy_per_example')
    cross_entropy_mean = tf.reduce_mean(cross_entropy,name='cross_entropy')
    total_loss = tf.add(tf.reduce_sum(tf.get_collection(tf.GraphKeys.REGULARIZATION_LOSSES)),cross_entropy_mean,name='total_loss')
    return total_loss

def top_1_acc(logits,true_labels):
    pred_labels = tf.argmax(logits,1)
    true_labels = tf.cast(true_labels,tf.int64)
    #print pred_labels.get_shape().as_list(),true_labels
    correct_pred = tf.cast(tf.equal(pred_labels, true_labels), tf.float32)
    accuracy = tf.reduce_mean(tf.cast(correct_pred,tf.float32))
    return accuracy

with tf.device('/gpu:0'):
    conv1 = conv2d(feed_images,'conv1',[3,3,3,64],1)
    conv2 = conv2d(conv1,'conv2',[3,3,64,64],1)
    pool1 = maxpool(conv2,'pool1',2,2)
    #size = [N,48,48,64]
    conv3 = conv2d(pool1,'conv3',[3,3,64,128],1)
    conv4 = conv2d(conv3,'conv4',[3,3,128,128],1)
    pool2 = maxpool(conv4,'pool2',2,2)
    #size = [N,24,24,128]
    conv5 = conv2d(pool2,'conv5',[3,3,128,256],1)
    conv6 = conv2d(conv5,'conv6',[3,3,256,256],1)
    pool3 = maxpool(conv6,'pool3',2,2)
    #size = [N,12,12,256]
    conv7 = conv2d(pool3,'conv7',[3,3,256,512],1)
    conv8 = conv2d(conv7,'conv8',[3,3,512,512],1)
    pool4 = maxpool(conv8,'pool4',2,2)
    #size = [N,6,6,512]
    conv9 = conv2d(pool4,'conv9',[3,3,512,512],1)
    conv10 = conv2d(conv9,'conv10',[3,3,512,512],1)
    pool5 = maxpool(conv10,'pool5',2,2)
    #size = [N,3,3,512]
    flattened_pool5 = tf.contrib.layers.flatten(pool5)
    fc1 = tf.contrib.layers.fully_connected(flattened_pool5,1024,weights_regularizer=tf.contrib.layers.l2_regularizer(tf.constant(0.001, dtype=tf.float32)))
    dropout1 = tf.nn.dropout(fc1,keep_prob)
    fc2 = tf.contrib.layers.fully_connected(dropout1,1024,weights_regularizer=tf.contrib.layers.l2_regularizer(tf.constant(0.001, dtype=tf.float32)))
    dropout2 = tf.nn.dropout(fc2,keep_prob)
    logits = tf.contrib.layers.fully_connected(dropout2,10,activation_fn=None,weights_regularizer=tf.contrib.layers.l2_regularizer(tf.constant(0.001, dtype=tf.float32)))

    cost = loss(logits,feed_labels)

    opt_mom = tf.train.MomentumOptimizer(learning_rate=lr,momentum=0.9)
    opt = opt_mom.minimize(cost)

    acc = top_1_acc(logits,feed_labels)
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  • $\begingroup$ You have to test it using data that has not been used in your training set. $\endgroup$ – Media Jul 8 '18 at 16:31
  • $\begingroup$ Yes I am using separate data for validation and training @Media $\endgroup$ – Siladittya Jul 8 '18 at 16:31
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    $\begingroup$ Try to decrease the number of parameters by diminishing the number of filters and the number of nodes in your fully connected layer. Batch normalisation does not have too much effect in overfitting. $\endgroup$ – Media Jul 8 '18 at 16:38
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    $\begingroup$ Increase the dropout hyperparameter. decrease 1024 to 512. Use Adam optimiser and again tell me what happened. $\endgroup$ – Media Jul 9 '18 at 7:21
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    $\begingroup$ 0.7 is too much. set it to something like 0.55. Moreover, try to change the learning rate. a bit peculiar behaviour. You should train it at least some hours. $\endgroup$ – Media Jul 9 '18 at 10:15
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Based on your accuracies the $12 \%$ difference is introducing high variance problem which means you are overfitting. Due to the fact that the number of parameters is too many for VGG16 and you have a moderate-size dataset which is smaller than ImageNet overfitting is obvious. Try to decrease the number of parameters in the bottlenecks of your model, the connections among fully connected networks and convolutional layers and fully connected layers. Moreover, try to use AdamOptimizer which better. Also try to train for more epochs.

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  • $\begingroup$ If I train for more epochs then the difference between the accuracies starts increasing, so I stopped training $\endgroup$ – Siladittya Jul 9 '18 at 11:42
  • $\begingroup$ It depends. By choosing appropriate dropout alpha it may not. $\endgroup$ – Media Jul 9 '18 at 11:44
  • $\begingroup$ I used 0.55 as you said. I will try with different alpha then. but using 0.55 I obtained 86% and 80% respectively $\endgroup$ – Siladittya Jul 9 '18 at 11:46
  • $\begingroup$ There should be a point where you stop training phase. I meant you should let your model be trained enough. It's customary to use grid search for hyper-parameter tunning. $\endgroup$ – Media Jul 9 '18 at 11:48
  • $\begingroup$ Okay, I understand. Thank you for you help. I had not been able to implement Adam optimizer before today, always faced problem. $\endgroup$ – Siladittya Jul 9 '18 at 11:56

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