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Add logistic regression example on iris dataset.
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[deps] | ||
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Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c" |
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# Use Flux to do Logistic Regression on the Iris dataset | ||
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This is a very simple model, with a single layer that outputs to softmax. | ||
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Logistic regression can basically be thought of as a [single layer neural network](https://sebastianraschka.com/faq/docs/logisticregr-neuralnet.html). | ||
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## Data Source | ||
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The data source is Fisher's classic dataset, retrieved from the [UCI Machine Learning Repository](https://archive.ics.uci.edu/ml/datasets/iris). | ||
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## Usage | ||
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`cd` into `model-zoo/other/iris`, start the Julia REPL and instantiate the environment: | ||
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```julia | ||
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using Pkg; Pkg.activate("."); Pkg.instantiate() | ||
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``` | ||
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Then train and evaluate the model: | ||
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```julia | ||
julia> include("iris.jl") | ||
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Accuracy: 0.92 | ||
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Confusion Matrix: | ||
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3×3 Array{Int64,2}: | ||
16 0 0 | ||
0 15 2 | ||
0 2 15 | ||
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julia> | ||
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``` |
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using Flux | ||
using Flux: crossentropy, normalise, onecold, onehotbatch | ||
using Statistics: mean | ||
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labels = Flux.Data.Iris.labels() | ||
features = Flux.Data.Iris.features() | ||
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# Subract mean, divide by std dev for normed mean of 0 and std dev of 1. | ||
normed_features = normalise(features, dims=2) | ||
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klasses = sort(unique(labels)) | ||
onehot_labels = onehotbatch(labels, klasses) | ||
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# Split into training and test sets, 2/3 for training, 1/3 for test. | ||
train_indices = [1:3:150 ; 2:3:150] | ||
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X_train = normed_features[:, train_indices] | ||
y_train = onehot_labels[:, train_indices] | ||
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X_test = normed_features[:, 3:3:150] | ||
y_test = onehot_labels[:, 3:3:150] | ||
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# Declare model taking 4 features as inputs and outputting 3 probabiltiies, | ||
# one for each species of iris. | ||
model = Chain( | ||
Dense(4, 3), | ||
softmax | ||
) | ||
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loss(x, y) = crossentropy(model(x), y) | ||
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# Gradient descent optimiser with learning rate 0.5. | ||
optimiser = Descent(0.5) | ||
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# Start Training. | ||
for epoch in 1:100 | ||
Flux.train!(loss, params(model), [(X_train, y_train)], optimiser) | ||
end | ||
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# Evaluate trained model against test set. | ||
accuracy(x, y) = mean(onecold(model(x)) .== onecold(y)) | ||
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accuracy_score = accuracy(X_test, y_test) | ||
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println("\nAccuracy: $accuracy_score") | ||
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# Sanity check. | ||
@assert accuracy_score > 0.8 | ||
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function confusion_matrix(X, y) | ||
ŷ = onehotbatch(onecold(model(X)), 1:3) | ||
y * ŷ' | ||
end | ||
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println("\nConfusion Matrix:\n") | ||
display(confusion_matrix(X_test, y_test)) | ||
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