For an assignment, I'm supposed to write a single layer neural network for one part of it. I think I got most of the stuff right, however when I tried using the tf.nn.softmax_cross_entropy_with_logits method, I got an error saying "ValueError: Both labels and logits must be provided." Which obviously means I need to provide both labels and logits, as I only provided logits in my code right now, so I understand what is wrong. What I don't understand is, what is labels and how I use them in this context? Keep in mind that I'm fairly new and inexperienced in tensorflow and neural networks in general. Thanks!
In supervised learning you have to give labels along with the training data and softmax_cross_entropy_with_logits calculates the softmax cross entropy between logits and labels. It helps to give the probability of a data being in a particular class. You can read more about it here https://www.tensorflow.org/api_docs/python/tf/nn/softmax_cross_entropy_with_logits
h_fc1_drop = tf.nn.dropout(h_fc1, keep_prob)
W_fc2 = weight_variable([1024, 10])
b_fc2 = bias_variable([10])
y_conv = tf.matmul(h_fc1_drop, W_fc2) + b_fc2
cross_entropy = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(labels=y_, logits=y_conv))
I've given you a snippet of code from tensorflow tutorials wheresoftmax_cross_entropy_with_logits is used. Here y_ is a placeholder to which the labels are fed.
Also softmax_cross_entropy_with_logits is currently deprecated.
Related
The softmax function obtains the weights and then MatMul with V.
Are the weights stored anywhere? Or how the learning process happened if the weights are not stored or used on the next round?
Moreover, the linear transformation does not use the weights!
Source code: https://github.com/fawazsammani/chatbot-transformer/blob/master/models.py
I would draw your attention to read the documentation always
So as we can see if we continue to the code implementation of nn.linear layer
we will see this line :
self.weight = Parameter(torch.empty((out_features, in_features), **factory_kwargs))
which is the weights that you are asking about.
Hope this answers your question!
I'm developing a machine learning model using keras and I notice that the available losses functions are not giving the best results on my test set.
I am using an Unet architecture, where I input a (16,16,3) image and the net also outputs a (16,16,3) picture (auto-encoder). I notice that maybe one way to improve the model would be if I used a loss function that compares pixel to pixel on the gradients (laplacian) between the net output and the ground truth. However, I did not found any tutorial that would handle this kind of application, because it would need to use opencv laplacian function on each output image from the net.
The loss function would be something like this:
def laplacian_loss(y_true, y_pred):
# y_true already is the calculated gradients, only needs to compute on the y_pred
# calculates the gradients for each predicted image
y_pred_lap = []
for img in y_pred:
laplacian = cv2.Laplacian( np.float64(img), cv2.CV_64F )
y_pred_lap.append( laplacian )
y_pred_lap = np.array(y_pred_lap)
# mean squared error, according to keras losses documentation
return K.mean(K.square(y_pred_lap - y_true), axis=-1)
Has anyone done something like that for loss calculation?
Given the code above, it seems that it would be equivalent to using a Lambda() layer as the output layer that applies that transformation in the image, before considering the mean square error.
Regardless as whether it is implemented as a Lambda() layer or in the loss function; the transformation needs to be such that Tensorflow understands how to calculate the gradients. The simplest was to do this would probably be to reimplement the cv2.Laplacian computation using Tensorflow math operations.
In order to use the cv2 library directly, you need to create a function that calculates the gradients for what happens inside the cv2 lib; that seems significantly more error prone.
Gradient descent optimisation relies on being able to compute gradients from the inputs to the loss; and back. Any operation in the middle must be differentiable; and Tensorflow must understand the math operations for auto differentiation to work; or you need to add them manually.
I managed to reach a easy solution. The main feature was that the gradient calculation is actually a 2D filter. For more information about it, please follow the link about the laplacian kernel. In that matter, is necessary that the output of my network be filtered by the laplacian kernel. For that, I created an extra convolutional layer with fixed weights, exactly as the laplacian kernel. After that, the network will have two outputs (one been the desired image, and the other been the gradient's image). So, is also necessary to define both losses.
To make it clearer, I'll exemplify. In the end of the network you'll have something like:
channels = 3 # number of channels of network output
lap = Conv2D(channels , (3,3), padding='same', name='laplacian') (net_output)
model = Model(inputs=[net_input], outputs=[net_out, lap])
Define how you want to calculate the losses for each output:
# losses for output, laplacian and gaussian
losses = {
"enhanced": "mse",
"laplacian": "mse"
}
lossWeights = {"enhanced": 1.0, "laplacian": 0.6}
Compile the model:
model.compile(optimizer=Adam(), loss=losses, loss_weights=lossWeights)
Define the laplacian kernel, apply its values in the weights of the above convolutional layer and set trainable equals False (so it won't be updated).
bias = np.asarray([0]*3)
# laplacian kernel
l = np.asarray([
[[[1,1,1],
[1,-8,1],
[1,1,1]
]]*channels
]*channels).astype(np.float32)
bias = np.asarray([0]*3).astype(np.float32)
wl = [l,bias]
model.get_layer('laplacian').set_weights(wl)
model.get_layer('laplacian').trainable = False
When training, remember that you need two values for the ground truth:
model.fit(x=X, y = {"out": y_out, "laplacian": y_lap})
Observation: Do not utilize the BatchNormalization layer! In case you use it, the weights in the laplacian layer will be updated!
One common task in DL is that you normalize input samples to zero mean and unit variance. One can "manually" perform the normalization using code like this:
mean = np.mean(X, axis = 0)
std = np.std(X, axis = 0)
X = [(x - mean)/std for x in X]
However, then one must keep the mean and std values around, to normalize the testing data, in addition to the Keras model being trained. Since the mean and std are learnable parameters, perhaps Keras can learn them? Something like this:
m = Sequential()
m.add(SomeKerasLayzerForNormalizing(...))
m.add(Conv2D(20, (5, 5), input_shape = (21, 100, 3), padding = 'valid'))
... rest of network
m.add(Dense(1, activation = 'sigmoid'))
I hope you understand what I'm getting at.
Add BatchNormalization as the first layer and it works as expected, though not exactly like the OP's example. You can see the detailed explanation here.
Both the OP's example and batch normalization use a learned mean and standard deviation of the input data during inference. But the OP's example uses a simple mean that gives every training sample equal weight, while the BatchNormalization layer uses a moving average that gives recently-seen samples more weight than older samples.
Importantly, batch normalization works differently from the OP's example during training. During training, the layer normalizes its output using the mean and standard deviation of the current batch of inputs.
A second distinction is that the OP's code produces an output with a mean of zero and a standard deviation of one. Batch Normalization instead learns a mean and standard deviation for the output that improves the entire network's loss. To get the behavior of the OP's example, Batch Normalization should be initialized with the parameters scale=False and center=False.
There's now a Keras layer for this purpose, Normalization. At time of writing it is in the experimental module, keras.layers.experimental.preprocessing.
https://keras.io/api/layers/preprocessing_layers/core_preprocessing_layers/normalization/
Before you use it, you call the layer's adapt method with the data X you want to derive the scale from (i.e. mean and standard deviation). Once you do this, the scale is fixed (it does not change during training). The scale is then applied to the inputs whenever the model is used (during training and prediction).
from keras.layers.experimental.preprocessing import Normalization
norm_layer = Normalization()
norm_layer.adapt(X)
model = keras.Sequential()
model.add(norm_layer)
# ... Continue as usual.
Maybe you can use sklearn.preprocessing.StandardScaler to scale you data,
This object allow you to save the scaling parameters in an object,
Then you can use Mixin types inputs into you model, lets say:
Your_model
[param1_scaler, param2_scaler]
Here is a link https://www.pyimagesearch.com/2019/02/04/keras-multiple-inputs-and-mixed-data/
https://keras.io/getting-started/functional-api-guide/
There's BatchNormalization, which learns mean and standard deviation of the input. I haven't tried using it as the first layer of the network, but as I understand it, it should do something very similar to what you're looking for.
I have a question regarding the implementation of a custom loss-function for my neural network.
I am currently trying to segment cells for a project and I decided to use a unet as it seems to work quite well. In order to improve my current model, I decided to follow the idea of the original paper of the unet (https://arxiv.org/abs/1505.04597) where they implemented a weight-map assigning thus more weight to pixels that are located in between cells that are tightly associated, as you can see in this picture: Example of a weight map.
I am currently using Keras for my unet and my problem is that I do not know how to give my weights to my model without creating any problem. My idea was to create a generator with the images and a 2-channeled array containing the labels in the first channel and the weights in the second channel, that way I can extract my weights and my labels easily in my custom loss function.
My code looks like that:
train_generator = zip(image_generator, label_generator, weight_generator)
for (img, label, weight) in train_generator:
img, label = adjustData(img, True, label)
label_weights = np.concatenate((label, weight),axis=3)
# This is the final generator
yield (img, label_weights)
As you can see, I construct the train_generator with three previously constructed generators, I adjust some things and then I yield my images and combined labels and weights.
Then, when I try to fit my model with fit_generator, I get this error: ValueError: Error when checking model input: the list of Numpy arrays that you are passing to your model is not the size the model expected. Expected to see 2 array(s), but instead got the following list of 1 arrays.
I really do not know what to do and how to implement correctly what I want to do.
Thank you in advance for your answers.
A silly question: after i train my SVM in scikit-learn i have to use predict function: predict(X) for predicting at which class belongs? (http://scikit-learn.org/dev/modules/generated/sklearn.svm.SVC.html#sklearn.svm.SVC.predict)
X parameter is the image feature vector?
In case i give an image not trained (not trained because SVM ask at least 3 samples for class), what returns?
First remark: "predict() returns image similarities with SVM in scikit learn" is not a question. Please put a question in the header of Stack Overflow entries.
Second remark: the predict method of the SVC class in sklearn does not return "image similarities" but a class assignment prediction. Read the http://scikit-learn.org documentation and tutorials to understand what we mean by classification and prediction in machine learning.
X parameter is the image feature vector?
No, X is not "the image" feature vector: it is a set of image feature vectors with shape (n_samples, n_features) as explained in the documentation you refer to. In your case a sample is an image hence the expected shape would be (n_images, n_features). The predict API was design to compute many predictions at once for efficiency reason. If you want to compute a single prediction, you will have to wrap your single feature vector in an array with shape (1, n_features).
For instance if you have a single feature vector (1D) called my_single_image_features with shape (n_features,) you can call predict with:
predictions = clf.predict([my_single_image_features])
my_single_prediction = predictions[0]
Please note the [] signs around the my_single_image_features variable to turn it into a 2D array.
my_single_prediction will be an integer whose meaning depends on the integer values provided by you when calling the clf.fit(X_train, y_train) method in the first place.
In case i give an image not trained (not trained because SVM ask at least 3 samples for class), what returns?
An image is not "trained". Only the model is trained. Of course you can pass samples / images that are not part of the training set to the predict method. This is the whole purpose of machine learning: making predictions on new unseen data based on what you learn from the statistical regularities seen in the past training data.