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Built the gradio implementation of the example.
Browse files- app.py +78 -0
- requirements.txt +2 -0
app.py
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# Gradio Implementation: Lenix Carter
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# License: BSD 3-Clause or CC-0
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import gradio as gr
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import numpy as np
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import matplotlib.pyplot as plt
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from sklearn.metrics import r2_score
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from sklearn.model_selection import train_test_split
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from sklearn.linear_model import LinearRegression
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plt.switch_backend("agg")
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def compare_reg(n_samples, n_features):
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np.random.seed(42)
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X = np.random.randn(n_samples, n_features)
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true_coef = 3 * np.random.randn(n_features)
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# Threshold coefficients to render them non-negative
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true_coef[true_coef < 0] = 0
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y = np.dot(X, true_coef)
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# Add some noise
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y += 5 * np.random.normal(size=(n_samples,))
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# Split the data in train set and test set
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X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.5)
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reg_nnls = LinearRegression(positive=True)
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y_pred_nnls = reg_nnls.fit(X_train, y_train).predict(X_test)
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r2_score_nnls = r2_score(y_test, y_pred_nnls)
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reg_ols = LinearRegression()
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y_pred_ols = reg_ols.fit(X_train, y_train).predict(X_test)
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r2_score_ols = r2_score(y_test, y_pred_ols)
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fig, ax = plt.subplots()
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ax.plot(reg_ols.coef_, reg_nnls.coef_, linewidth=0, marker=".")
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low_x, high_x = ax.get_xlim()
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low_y, high_y = ax.get_ylim()
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low = max(low_x, low_y)
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high = min(high_x, high_y)
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ax.plot([low, high], [low, high], ls="--", c=".3", alpha=0.5)
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ax.set_xlabel("OLS regression coefficients", fontweight="bold")
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ax.set_ylabel("NNLS regression coefficients", fontweight="bold")
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scores = "The R2 for NNLS is {}\nThe R2 for OLS is {}".format(r2_score_nnls, r2_score_ols)
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return fig, scores
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title = "Non-negative Least Squares"
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with gr.Blocks() as demo:
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gr.Markdown(f" # {title}")
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gr.Markdown("""
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This example fits a linear model with positivity constraints on the regression coefficients and compares the estimated coefficients to a classic linear regression.
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This is based on the example [here](https://scikit-learn.org/stable/auto_examples/linear_model/plot_nnls.html#sphx-glr-auto-examples-linear-model-plot-nnls-py).
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""")
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with gr.Row():
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with gr.Column():
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n_samp = gr.Slider(100, 1000, 200, step=1, label="Number of Samples")
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n_feat = gr.Slider(3, 100, 50, step=1, label="Number of Features")
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btn = gr.Button(label="Run")
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with gr.Column():
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scores = gr.Textbox(label="R2 Scores")
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coeff_comp_graph = gr.Plot(label="Comparison of Coefficients")
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btn.click(
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fn=compare_reg,
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inputs=[n_samp, n_feat],
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outputs=[coeff_comp_graph, scores]
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)
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with gr.Row():
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gr.Markdown("This shows a high degree of correlation between the the regression coefficients of OLS and NNLS. However, we observe that some coefficients in the NNLS regression shrink to 0.")
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if __name__ == '__main__':
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demo.launch()
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requirements.txt
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matplotlib==3.6.3
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scikit-learn==1.2.2
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