85 lines
2.0 KiB
Plaintext
85 lines
2.0 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Documents for the Linear, Ridge and Lasso regressions in the sklearn package:\n",
|
|
"\n",
|
|
"Linear: https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html\n",
|
|
"\n",
|
|
"Ridge: https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Ridge.html\n",
|
|
"\n",
|
|
"Lasso: https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Lasso.html"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[0.15631421 2.24887843]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from sklearn import linear_model\n",
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"# Form the coefficient matrix of the linear system\n",
|
|
"X_transpose = np.array([[1, 1], [1, 2], [2, 2], [2, 3]])\n",
|
|
"\n",
|
|
"\n",
|
|
"# The underlying linear function is y = 1 * x_1 + 2 * x_2 + epsilon\n",
|
|
"epsilon = np.random.rand(4,)\n",
|
|
"y = np.dot(X_transpose, np.array([1, 2])) + epsilon\n",
|
|
"\n",
|
|
"\n",
|
|
"# Various regression models\n",
|
|
"#clf = linear_model.LinearRegression()\n",
|
|
"#clf = linear_model.Ridge(alpha=0.1)\n",
|
|
"clf = linear_model.Lasso(alpha=0.1)\n",
|
|
"\n",
|
|
"# Fit the model to the data\n",
|
|
"clf.fit(X_transpose, y)\n",
|
|
"\n",
|
|
"\n",
|
|
"# Print the regression coefficients\n",
|
|
"print(clf.coef_)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.8.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|