LSTM input matrix has a shape like this in Keras:
(sample size, number of time steps, number of features)
How can I normalize this input using MinMaxScaler function in python? Suppose that we have an input matrix with this shape: (10,3,2).
MinMaxScaler is designed to work with tabular data of only two dimensions, so I suspect what you want to do is something like:
for i in range(X.shape[1]):
X[:, i, :] = MinMaxScaler().fit_transform(X[:, i, :])
Related
I am working on the LSTM and after the pre-processing of data I get the data X in form of a list which contains the 3 lists of features and each list contains the sequence of 50 points in form of a list.
X = [list:100 [list:3 [list:50]]]
Y = [list:100]
since its a multivariate LSTM, I am not sure how to give all 3 sequences as an input to Keras-Lstm. Do I need to convert it in Pandas data frame?
model = models.Sequential()
model.add(layers.Bidirectional(layers.LSTM(units=32,
input_shape=(?,?,?)))
You can do do the following to convert the lists into NumPy arrays:
X = np.array(X)
Y = np.array(Y)
Calling the following after this conversion:
print(X.shape)
print(Y.shape)
should output: (100, 3, 50) and (100,), respectively. Finally, the input_shape of the LSTM layer can be (None, 50).
LSTM Call arguments Doc:
inputs: A 3D tensor with shape [batch, timesteps, feature].
You would have to transform that list into a numpy array to work with Keras.
As per the shape of X you have provided, it should work in theory. However you do have to figure out what the 3 dimensions of your array actually contain.
The 1st dimension should be your batch_size i.e. how many batches of data you have.
The 2nd dimension is your timestep data.
Ex: words in a sentence, "cat sat on dog" -> 'cat' is timestep 1, 'sat' is timestep 2 and 'on' is timestep 3 and so on.
The 3rd dimension represent the features of your data of each timestep.. For our sentence earlier, we can vectorize each word
Keras has a preprocessing util to pad sequences, but it assumes that the sequences are integer numbers.
My sequences are vectors (my own embeddings, I do not want to use Keras embeddings), is there any way in which I can pad them to use in a LSTM?
Sequences can be made equal in Python, but the padding methods in Keras provide additional metainformation for layers like LSTM to consider for masking.
this is a possibility to pad an array of float of different length with zeros
to mask the zeros you can use the masking layer (otherwise remove it)
I initialize your embeddings in a list because numpy can't handle array of different lenght. in the example, I use 4 samples of different lengths. the relative embeddings are stored in this list list([1,300],[2,300],[3,300],[4,300])
# recreate your embed
emb = []
for i in range(1,5):
emb.append(np.random.uniform(0,1, (i,300)))
# custom padding function
def pad(x, max_len):
new_x = np.zeros((max_len,x.shape[-1]))
new_x[:len(x),:] = x # post padding
return new_x
# pad own embeddings
emb = np.stack(list(map(lambda x: pad(x, max_len=100), emb)))
emb_model = tf.keras.Sequential()
emb_model.add(tf.keras.layers.Masking(mask_value=0., input_shape=(100, 300)))
emb_model.add(tf.keras.layers.LSTM(32))
emb_model(emb)
Suppose the following model :
import torch.nn as nn
class PGN(nn.Module):
def __init__(self, input_size):
super(PGN, self).__init__()
self.linear = nn.Sequential(
nn.Linear(in_features=input_size, out_features=128),
nn.ReLU(),
nn.Linear(in_features=128, out_features=1)
)
def forward(self, x):
return self.linear(x)
I figure I have to modify the model to fit a 2-dimensional curve.
Is there a way to fit a Gaussian curve with mu=0 and sigma=0 using Pytorch? If so, can you show me?
A neural network can approximate an arbitrary function of any number of parameters to a space of any dimension.
To fit a 2 dimensional curve your network should be fed with vectors of size 2, that is a vector of x and y coordinates. The output is a single value of size 1.
For training you must generate ground truth data, that is a mapping between coordinates (x and y) and the value (z). The loss function should compare this ground truth value with the estimate of your network.
If it is just a tutorial to learn Pytorch and not a real application, you can define a function that for a given x and y output the gaussian value according to your parameters.
Then during training you randomly choose a x and y and feed this to the networks then do backprop with the true value.
For a function y = a*exp(-((x-b)^2)/2c^2),
Create this mathematical equation, for some values of x, (and a,b,c), get the outputs y. This will be your training set with x values as inputs and y values as output labels. Since this is not a linear equation, you will have to experiment with no of layers/neurons and other stuff, but it will give you a good enough approximation. For different values of a,b,c, generate your data for that and maybe try different things like adding those as inputs with x.
As we know:
Keras.layers.Embedding turns positive integers (indexes) into dense vectors of fixed size. e.g. [[4], [20]] -> [[0.25, 0.1], [0.6, -0.2]]
I want to know how can I see or print the dense vector output.
Or
how to see a tensor object's output?
You can take a look here : https://keras.io/getting-started/faq/#how-can-i-obtain-the-output-of-an-intermediate-layer
In a few words :
Create a new model from your trained model with the output layer in which you are interested, then use the methode predict.
layer_name = 'my_layer'
intermediate_layer_model = Model(inputs=model.input,
outputs=model.get_layer(layer_name).output)
intermediate_output = intermediate_layer_model.predict(data)
I have a series of processed audio files I am using as input into a CNN using Keras. Does the Keras 1D Convolutional layer support variable sequence lengths? The Keras documentation makes this unclear.
https://keras.io/layers/convolutional/
At the top of the documentation it mentions you can use (None, 128) for variable-length sequences of 128-dimensional vectors. Yet at the bottom it declares that the input shape must be a
3D tensor with shape: (batch_size, steps, input_dim)
Given the following example how should I input sequences of variable length into the network
Lets say I have two examples (a and b) containing X 1 dimensional vectors of length 100 that I want to feed into the 1DConv layer as input
a.shape = (100, 100)
b.shape = (200, 100)
Can I use an input shape of (2, None, 100)? Do I need to concatenate these tensors into c where
c.shape = (300, 100)
Then reshape it to be something
c_reshape.shape = (3, 100, 100)
Where 3 is the batch size, 100, is the number of steps, and the second 100 is the input size? The documentation on the input vector is not very clear.
Keras supports variable lengths by using None in the respective dimension when defining the model.
Notice that often input_shape refers to the shape without the batch size.
So, the 3D tensor with shape (batch_size, steps, input_dim) suits perfectly a model with input_shape=(steps, input_dim).
All you need to make this model accept variable lengths is use None in the steps dimension:
input_shape=(None, input_dim)
Numpy limitation
Now, there is a numpy limitation about variable lengths. You cannot create a numpy array with a shape that suits variable lengths.
A few solutions are available:
Pad your sequences with dummy values until they all reach the same size so you can put them into a numpy array of shape (batch_size, length, input_dim). Use Masking layers to disconsider the dummy values.
Train with separate numpy arrays of shape (1, length, input_dim), each array having its own length.
Group your images by sizes into smaller arrays.
Be careful with layers that don't support variable sizes
In convolutional models using variable sizes, you can't for instance, use Flatten, the result of the flatten would have a variable size if this were possible. And the following Dense layers would not be able to have a constant number of weights. This is impossible.
So, instead of Flatten, you should start using GlobalMaxPooling1D or GlobalAveragePooling1D layers.