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| import gradio as gr | |
| import numpy as np | |
| import matplotlib.pyplot as plt | |
| import warnings | |
| from functools import partial | |
| from sklearn.datasets import make_blobs, make_spd_matrix | |
| from sklearn.svm import LinearSVC | |
| from sklearn.inspection import DecisionBoundaryDisplay | |
| from sklearn.exceptions import ConvergenceWarning | |
| def train_model(n_samples, C, penalty, loss, max_iter): | |
| if penalty == "l1" and loss == "hinge": | |
| raise gr.Error("The combination of penalty='l1' and loss='hinge' is not supported") | |
| default_base = {"n_samples": 20} | |
| # Algorithms to compare | |
| params = default_base.copy() | |
| params.update({"n_samples":n_samples, | |
| "C": C, | |
| "penalty": penalty, | |
| "loss": loss, | |
| "max_iter": max_iter}) | |
| X, y = make_blobs(n_samples=params["n_samples"], centers=2, random_state=0) | |
| fig, ax = plt.subplots() | |
| # catch warnings related to convergence | |
| with warnings.catch_warnings(): | |
| warnings.filterwarnings("ignore", category=ConvergenceWarning) | |
| # add penalty, l1 and l2. Default is l2 | |
| # add loss, square_hinge is Default. the other loss is hinge | |
| # multi_class{‘ovr’, ‘crammer_singer’}, default=’ovr’ | |
| clf = LinearSVC(penalty=penalty, C=params["C"], | |
| loss=params["loss"], | |
| max_iter=params["max_iter"], | |
| random_state=42).fit(X, y) | |
| # obtain the support vectors through the decision function | |
| decision_function = clf.decision_function(X) | |
| # we can also calculate the decision function manually | |
| # decision_function = np.dot(X, clf.coef_[0]) + clf.intercept_[0] | |
| # The support vectors are the samples that lie within the margin | |
| # boundaries, whose size is conventionally constrained to 1 | |
| support_vector_indices = np.where(np.abs(decision_function) <= 1 + 1e-15)[0] | |
| support_vectors = X[support_vector_indices] | |
| ax.scatter(X[:, 0], X[:, 1], c=y, s=30, cmap=plt.cm.Paired) | |
| DecisionBoundaryDisplay.from_estimator( | |
| clf, | |
| X, | |
| ax=ax, | |
| grid_resolution=50, | |
| plot_method="contour", | |
| colors="k", | |
| levels=[-1, 0, 1], | |
| alpha=0.5, | |
| linestyles=["--", "-", "--"], | |
| ) | |
| ax.scatter( | |
| support_vectors[:, 0], | |
| support_vectors[:, 1], | |
| s=100, | |
| linewidth=1, | |
| facecolors="none", | |
| edgecolors="k", | |
| ) | |
| ax.set_title("C=" + str(C)) | |
| return fig | |
| def iter_grid(n_rows, n_cols): | |
| # create a grid using gradio Block | |
| for _ in range(n_rows): | |
| with gr.Row(): | |
| for _ in range(n_cols): | |
| with gr.Column(): | |
| yield | |
| title = "📈 Linear Support Vector Classification" | |
| with gr.Blocks(title=title) as demo: | |
| gr.Markdown(f"## {title}") | |
| gr.Markdown("The LinearSVC is an implementation of a \ | |
| Support Vector Machine (SVM) for classification. \ | |
| It aims to find the optimal linear \ | |
| decision boundary that separates classes in the input data.") | |
| gr.Markdown("The most important parameters of `LinearSVC` are:") | |
| param_C = "\ | |
| 1. `C`: The inverse of the regularization strength. \ | |
| A smaller `C` value increases the amount of regularization, \ | |
| promoting simpler models, while a larger `C` value reduces \ | |
| regularization, allowing more complex models. \ | |
| It controls the trade-off between fitting the \ | |
| training data and generalization to unseen data." | |
| param_loss=" \ | |
| 2. `loss`: The loss function used for training. \ | |
| The default is `squared_hinge`, which is a variant \ | |
| of hinge loss. The combination of penalty='l1' and \ | |
| loss='hinge' is not supported." | |
| param_penalty="\ | |
| 3. `penalty`: The type of regularization penalty \ | |
| applied to the model. The default is `l2`, which uses \ | |
| the L2 norm." | |
| param_dual="\ | |
| 4. `dual`: Determines whether the dual or primal optimization \ | |
| problem is solved. By default, `dual=True` when the number \ | |
| of samples is less than the number of features, and `dual=False` \ | |
| otherwise. For large-scale problems, setting `dual=False` \ | |
| can be more efficient." | |
| param_tol="\ | |
| 5. `tol`: The tolerance for stopping criteria. \ | |
| The solver stops when the optimization reaches \ | |
| a specified tolerance level." | |
| param_max_iter="\ | |
| 6. `max_iter`: The maximum number of iterations for solver \ | |
| convergence. If not specified, the default value is 1000." | |
| gr.Markdown(param_C) | |
| gr.Markdown(param_loss) | |
| gr.Markdown(param_penalty) | |
| gr.Markdown(param_dual) | |
| gr.Markdown(param_tol) | |
| gr.Markdown(param_max_iter) | |
| gr.Markdown("Read more in the \ | |
| [original example](https://scikit-learn.org/stable/modules/generated/sklearn.svm.LinearSVC.html#sklearn.svm.LinearSVC).") | |
| n_samples = gr.Slider(minimum=20, maximum=100, step=5, | |
| label = "Number of Samples") | |
| with gr.Row(): | |
| input_model = "LinearSVC" | |
| fn = partial(train_model) | |
| with gr.Row(): | |
| penalty = gr.Dropdown(["l1", "l2"], value="l2", interactive=True, label="Penalty to prevent overfitting") | |
| loss = gr.Dropdown(["hinge", "squared hinge"], value="hinge", interactive=True, label="Loss function") | |
| with gr.Row(): | |
| max_iter = gr.Slider(minimum=100, maximum=2000, step=100, value=1000, | |
| label = "Max. number of iterations") | |
| param_C = gr.Number(value=1, | |
| label = "Regularization parameter C", | |
| # info="When C is smal the regularization effect is stronger. " | |
| # + "This can help to avoid overfitting but may lead to higher bias. " | |
| # + "On the other hand, when C is large, the regularization effect " | |
| # + "is weaker, and the model can have larger parameter values, " | |
| # + "allowing for more complex decision boundaries that fit the " | |
| # + "training data more closely. This may increase the risk of " | |
| # + "overfitting and result in a higher variance model." | |
| ) | |
| with gr.Row(): | |
| penalty2 = gr.Dropdown(["l1", "l2"], value="l2", interactive=True, label="Penalty to prevent overfitting") | |
| loss2 = gr.Dropdown(["hinge", "squared hinge"], value="hinge", interactive=True, label="Loss function") | |
| with gr.Row(): | |
| max_iter2 = gr.Slider(minimum=100, maximum=2000, step=100, value=1000, | |
| label = "Max. number of iterations") | |
| param_C2 = gr.Number(value=100, | |
| label = "Regularization parameter C" | |
| ) | |
| with gr.Row(): | |
| plot = gr.Plot(label=input_model) | |
| n_samples.change(fn=fn, inputs=[n_samples, param_C, penalty, loss, max_iter], outputs=plot) | |
| param_C.change(fn=fn, inputs=[n_samples, param_C, penalty, loss, max_iter], outputs=plot) | |
| penalty.change(fn=fn, inputs=[n_samples, param_C, penalty, loss, max_iter], outputs=plot) | |
| loss.change(fn=fn, inputs=[n_samples, param_C, penalty, loss, max_iter], outputs=plot) | |
| max_iter.change(fn=fn, inputs=[n_samples, param_C, penalty, loss, max_iter], outputs=plot) | |
| plot2 = gr.Plot(label=input_model) | |
| n_samples.change(fn=fn, inputs=[n_samples, param_C2, penalty2, loss2, max_iter2], outputs=plot2) | |
| param_C2.change(fn=fn, inputs=[n_samples, param_C2, penalty2, loss2, max_iter2], outputs=plot2) | |
| penalty2.change(fn=fn, inputs=[n_samples, param_C2, penalty2, loss2, max_iter2], outputs=plot2) | |
| loss2.change(fn=fn, inputs=[n_samples, param_C2, penalty2, loss2, max_iter2], outputs=plot2) | |
| max_iter2.change(fn=fn, inputs=[n_samples, param_C2, penalty2, loss2, max_iter2], outputs=plot2) | |
| demo.launch() |