131 lines
4.1 KiB
Python
131 lines
4.1 KiB
Python
""" Define, train and save the linear model and the non-linear model """
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from sklearn.linear_model import LinearRegression
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from sklearn.model_selection import train_test_split
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from tensorflow.keras import Input, Model
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from tensorflow.keras.models import Sequential, save_model
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from tensorflow.keras.layers import Dense
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from tensorflow.keras import losses
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from sklearn.metrics import mean_squared_error
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from utils import save_sklearn_model, save_keras_model
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import os
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import random
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import numpy as np
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import tensorflow as tf
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from keras import backend as K
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#
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# FIX THE RANDOM GENERATOR SEEDS
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#
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# The random generator seed is set to a fixed value for reproducibility
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# purposes. Since the libraries use different random generators, we set them
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# all to the fixed value below
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SEED_VALUE = 0
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os.environ['PYTHONHASHSEED'] = str(SEED_VALUE)
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random.seed(SEED_VALUE)
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np.random.seed(SEED_VALUE)
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tf.random.set_seed(SEED_VALUE)
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session_conf = tf.compat.v1.ConfigProto(intra_op_parallelism_threads=1,
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inter_op_parallelism_threads=1)
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sess = tf.compat.v1.Session(graph=tf.compat.v1.get_default_graph(),
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config=session_conf)
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tf.compat.v1.keras.backend.set_session(sess)
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# Load data
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data = np.load("../data/data.npz")
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xs = data["x"]
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y = data["y"]
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points = np.shape(xs)[0]
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#
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# LINEAR MODEL
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#
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print("# Linear regression:")
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# We manually include in the feature vectors a '1' column corresponding to
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# theta_0, so disable the built in intercept in Sci-kit learn
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lr = LinearRegression(fit_intercept=False)
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# Build X feature matrix with columns for theta_3 and theta_4
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X = np.zeros([points, 5])
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X[:, 0] = 1
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X[:, 1:3] = xs
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X[:, 3] = xs[:, 0] * xs[:, 1]
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X[:, 4] = np.sin(xs[:, 0])
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# Shuffle and split our data for division in training, and test set
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TRAIN_SET_RATIO = 0.1
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X_t, X_test, y_t, y_test = train_test_split(X, y, test_size=TRAIN_SET_RATIO)
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# Fit with train data
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reg = lr.fit(X_t, y_t)
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# Print the resulting parameters
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print("f(x) = %g + %g * x_1 + %g * x_2 + %g * x_1 * x_2 + %g * sin(x_1)" %
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tuple(reg.coef_))
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# Save the model as .pickle
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save_sklearn_model(reg, "../deliverable/linear_regression.pickle")
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#
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# NON-LINEAR MODEL
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#
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print("\n# Feed-forward NN:")
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# Divide previously found training set (X_t, y_t) in another training and a
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# validation set. This division is used for the FFNN training and architecture
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# design/tailoring
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VALIDATION_SET_RATIO = 0.1
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X_train, X_val, y_train, y_val = \
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train_test_split(X_t, y_t, test_size=VALIDATION_SET_RATIO)
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np.savez('test', x=X_test, y=y_test, allow_pickle=True)
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# Drop additional features added before
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X_train = X_train[:, 1:3]
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X_val = X_val[:, 1:3]
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# Compute mean and std for each feature in the training set
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mean = np.mean(X_train, axis=0)
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std = np.std(X_train, axis=0)
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# Normalize training data according to the mean and variance
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X_train -= mean
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X_train /= std
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# Normalize validation data as well. All further inputs to the NN must be
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# normalized using the value `mean` and `std` computed before. Normalization is
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# necessary to increase the speed of the learning process
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X_val -= mean
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X_val /= std
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# Define the network's architecture
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network = Sequential()
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network.add(Dense(22, activation='tanh'))
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network.add(Dense(15, activation='sigmoid'))
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network.add(Dense(1, activation='linear'))
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network.compile(optimizer='adam', loss='mse')
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# Define maximum number of iterations and early stopping procedure
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EPOCHS = 5000
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callback = tf.keras.callbacks.EarlyStopping(monitor='loss', patience=120)
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# Fit the model monitoring validation in the learning process
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network.fit(X_train, y_train, epochs=EPOCHS, verbose=1,
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validation_data=(X_val, y_val), callbacks=[callback])
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# Save the fitted model and the normalization parameters as well
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network.save("../deliverable/nonlinear_model")
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save_sklearn_model({"mean": mean, "std": std},
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"../deliverable/nonlinear_model_normalizers.pickle")
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# Print the final validation set MSE, which was used to tailor the NN
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# architecture after several manual trials
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msq = mean_squared_error(network.predict(X_val), y_val)
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print("Final validation MSE for FFNN: %g" % msq)
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# vim: set ts=4 sw=4 et tw=79:
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