This example shows how to investigate and visualize the features learned by LSTM networks by extracting the activations.
Load pretrained network. JapaneseVowelsNet
is a pretrained LSTM network trained on the Japanese Vowels dataset as described in [1] and [2]. It was trained on the sequences sorted by sequence length with a mini-batch size of 27.
load JapaneseVowelsNet
View the network architecture.
net.Layers
ans = 5x1 Layer array with layers: 1 'sequenceinput' Sequence Input Sequence input with 12 dimensions 2 'lstm' LSTM LSTM with 100 hidden units 3 'fc' Fully Connected 9 fully connected layer 4 'softmax' Softmax softmax 5 'classoutput' Classification Output crossentropyex with '1' and 8 other classes
Load the test data.
[XTest,YTest] = japaneseVowelsTestData;
Visualize the first time series in a plot. Each line corresponds to a feature.
X = XTest{1}; figure plot(XTest{1}') xlabel("Time Step") title("Test Observation 1") numFeatures = size(XTest{1},1); legend("Feature " + string(1:numFeatures),'Location','northeastoutside')
For each time step of the sequences, get the activations output by the LSTM layer (layer 2) for that time step and update the network state.
sequenceLength = size(X,2); idxLayer = 2; outputSize = net.Layers(idxLayer).NumHiddenUnits; for i = 1:sequenceLength features(:,i) = activations(net,X(:,i),idxLayer); [net, YPred(i)] = classifyAndUpdateState(net,X(:,i)); end
Visualize the first 10 hidden units using a heatmap.
figure heatmap(features(1:10,:)); xlabel("Time Step") ylabel("Hidden Unit") title("LSTM Activations")
The heatmap shows how strongly each hidden unit activates and highlights how the activations change over time.
[1] M. Kudo, J. Toyama, and M. Shimbo. "Multidimensional Curve Classification Using Passing-Through Regions." Pattern Recognition Letters. Vol. 20, No. 11–13, pages 1103–1111.
[2] UCI Machine Learning Repository: Japanese Vowels Dataset. https://archive.ics.uci.edu/ml/datasets/Japanese+Vowels
activations
| bilstmLayer
| lstmLayer
| sequenceInputLayer
| trainingOptions
| trainNetwork