From 1ca7e1a0a95767287b372b2404f96e7346550313 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Tue, 28 Sep 2021 10:24:07 +0200 Subject: [PATCH] update resampling chapter --- doc/BookChapters/chapter3.do.txt | 45 +-- .../_build/.doctrees/chapter3.doctree | Bin 1174808 -> 1160141 bytes .../_build/.doctrees/environment.pickle | Bin 178272 -> 178267 bytes .../_build/html/_images/chapter3_109_1.png | Bin 0 -> 15299 bytes .../_build/html/_images/chapter3_117_1.png | Bin 0 -> 11379 bytes .../_build/html/_images/chapter3_119_1.png | Bin 0 -> 13640 bytes .../_build/html/_images/chapter3_150_1.png | Bin 0 -> 20156 bytes .../_build/html/_images/chapter3_168_1.png | Bin 0 -> 31681 bytes .../_build/html/_images/chapter3_171_1.png | Bin 0 -> 31007 bytes .../_build/html/_images/chapter3_175_1.png | Bin 0 -> 20063 bytes .../_build/html/_images/chapter3_177_13.png | Bin 0 -> 197708 bytes .../_build/html/_images/chapter3_179_0.png | Bin 0 -> 72871 bytes .../_build/html/_images/chapter3_183_0.png | Bin 0 -> 29129 bytes .../_build/html/_images/chapter3_47_0.png | Bin 11117 -> 11316 bytes .../_build/html/_images/chapter3_65_10.png | Bin 16300 -> 16384 bytes .../_build/html/_images/chapter3_73_1.png | Bin 11986 -> 12305 bytes .../_build/html/_sources/chapter3.ipynb | 52 +-- doc/LectureNotes/_build/html/chapter3.html | 222 +++++------- doc/LectureNotes/_build/html/searchindex.js | 2 +- .../_build/jupyter_execute/chapter3.ipynb | 322 ++++++++---------- .../_build/jupyter_execute/chapter3.py | 40 +-- .../_build/jupyter_execute/chapter3_109_1.png | Bin 0 -> 15299 bytes .../_build/jupyter_execute/chapter3_117_1.png | Bin 0 -> 11379 bytes .../_build/jupyter_execute/chapter3_119_1.png | Bin 0 -> 13640 bytes .../_build/jupyter_execute/chapter3_150_1.png | Bin 0 -> 20156 bytes .../_build/jupyter_execute/chapter3_168_1.png | Bin 0 -> 31681 bytes .../_build/jupyter_execute/chapter3_171_1.png | Bin 0 -> 31007 bytes .../_build/jupyter_execute/chapter3_175_1.png | Bin 0 -> 20063 bytes .../jupyter_execute/chapter3_177_13.png | Bin 0 -> 197708 bytes .../_build/jupyter_execute/chapter3_179_0.png | Bin 0 -> 72871 bytes .../_build/jupyter_execute/chapter3_183_0.png | Bin 0 -> 29129 bytes .../_build/jupyter_execute/chapter3_47_0.png | Bin 11117 -> 11316 bytes .../_build/jupyter_execute/chapter3_65_10.png | Bin 16300 -> 16384 bytes .../_build/jupyter_execute/chapter3_73_1.png | Bin 11986 -> 12305 bytes doc/LectureNotes/chapter3.ipynb | 52 +-- doc/pub/week37/ipynb/week37.ipynb | 244 ++++++++++--- 36 files changed, 434 insertions(+), 545 deletions(-) create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_109_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_117_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_119_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_150_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_168_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_171_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_175_1.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_177_13.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_179_0.png create mode 100644 doc/LectureNotes/_build/html/_images/chapter3_183_0.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_109_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_117_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_119_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_150_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_168_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_171_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_175_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_177_13.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_179_0.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/chapter3_183_0.png diff --git a/doc/BookChapters/chapter3.do.txt b/doc/BookChapters/chapter3.do.txt index bc4fc936d..f1f70e6ee 100644 --- a/doc/BookChapters/chapter3.do.txt +++ b/doc/BookChapters/chapter3.do.txt @@ -919,7 +919,7 @@ for polydegree in range(1, Maxpolydegree): trainingerror[polydegree] = 0.0 for samples in range(trials): x_train, x_test, y_train, y_test = train_test_split(X, Energies, test_size=0.2) - model = LinearRegression(fit_intercept=True).fit(x_train, y_train) + model = LinearRegression(fit_intercept=False).fit(x_train, y_train) ypred = model.predict(x_train) ytilde = model.predict(x_test) testerror[polydegree] += mean_squared_error(y_test, ytilde) @@ -1156,7 +1156,7 @@ for polydegree in range(1, Maxpolydegree): polynomial[polydegree] = polydegree for degree in range(polydegree): X[:,degree] = Density**(degree/3.0) - OLS = LinearRegression() + OLS = LinearRegression(fit_intercept=False) # loop over trials in order to estimate the expectation value of the MSE estimated_mse_folds = cross_val_score(OLS, X, Energies, scoring='neg_mean_squared_error', cv=kfold) #[:, np.newaxis] @@ -1170,46 +1170,7 @@ plt.show() !ec - -!bc pycod -import numpy as np -import matplotlib.pyplot as plt -from sklearn.model_selection import KFold -from sklearn.linear_model import Ridge -from sklearn.model_selection import cross_val_score -from sklearn.preprocessing import PolynomialFeatures - -# A seed just to ensure that the random numbers are the same for every run. -np.random.seed(3155) -# Generate the data. -n = 100 -x = np.linspace(-3, 3, n).reshape(-1, 1) -y = np.exp(-x**2) + 1.5 * np.exp(-(x-2)**2)+ np.random.normal(0, 0.1, x.shape) -# Decide degree on polynomial to fit -poly = PolynomialFeatures(degree = 10) - -# Decide which values of lambda to use -nlambdas = 500 -lambdas = np.logspace(-3, 5, nlambdas) -# Initialize a KFold instance -k = 5 -kfold = KFold(n_splits = k) -estimated_mse_sklearn = np.zeros(nlambdas) -i = 0 -for lmb in lambdas: - ridge = Ridge(alpha = lmb) - estimated_mse_folds = cross_val_score(ridge, x, y, scoring='neg_mean_squared_error', cv=kfold) - estimated_mse_sklearn[i] = np.mean(-estimated_mse_folds) - i += 1 -plt.figure() -plt.plot(np.log10(lambdas), estimated_mse_sklearn, label = 'cross_val_score') -plt.xlabel('log10(lambda)') -plt.ylabel('MSE') -plt.legend() -plt.show() - - -!ec +Note that we have kept the intercept in the first column of design matrix $\bm{X}$. When we call the corresponding _Scikit-Learn_ function we need thus to set the intercept to _False_. Libraries like _Scikit-Learn_ normally scale the design matrix and does not fit intercept. 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