{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# ML regression with rampy.ml_regressor\n", "\n", "Author: Charles Le Losq\n", "\n", "**The `rampy.mlregressor` class performs automatic data scaling, hyperparameter grid search and provides access to popular algorithms (Support Vector, Kernel Rdige, Neural Nets) for using machine learning in a regression task implying spectroscopic data.** This function allows one to link any variable to a set of spectra with using a machine learning technique. \n", "\n", "Let's assume for the sack of example that we observe spectra D that are the combination of $k$ endmember spectra S with concentrations C, such that:\n", "\n", "$$ D_{i,j} = C_{i,k} \\times S_{k,j} $$\n", "\n", "Here we assume a linear combination. In Python, assuming that the partial spectra are simple Gaussians, we can write the following." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of samples:300\n", "Shape of partial spectra matrix:(2, 600)\n", "Shape of concentration matrix:(300, 2)\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "np.random.seed(42) # fixing the seed\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import rampy as rp\n", "from scipy.stats import norm\n", "\n", "# create some fake data\n", "x = np.arange(0,600,1.0)\n", "nb_samples = 300 # number of samples in our dataset\n", "\n", "S_1 = norm.pdf(x,loc=200.,scale=130.)\n", "S_2 = norm.pdf(x,loc=400,scale=70)\n", "S_true = np.vstack((S_1,S_2))\n", "print(\"Number of samples:\"+str(nb_samples))\n", "print(\"Shape of partial spectra matrix:\"+str(S_true.shape))\n", "\n", "C_ = np.random.rand(nb_samples) #60 samples with random concentrations between 0 and 1\n", "C_true = np.vstack((C_,(1-C_))).T\n", "print(\"Shape of concentration matrix:\"+str(C_true.shape))\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We make some observations with random noise" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Obs = np.dot(C_true,S_true) + np.random.randn(nb_samples,len(x))*1e-4\n", "\n", "# norm is a class which, when called, can normalize data into the\n", "# [0.0, 1.0] interval.\n", "norm = matplotlib.colors.Normalize(\n", " vmin=np.min(C_),\n", " vmax=np.max(C_))\n", "\n", "# choose a colormap\n", "c_m = matplotlib.cm.jet\n", "\n", "# create a ScalarMappable and initialize a data structure\n", "s_m = matplotlib.cm.ScalarMappable(cmap=c_m, norm=norm)\n", "s_m.set_array([])\n", "\n", "ax = plt.subplot()\n", "\n", "# plotting spectra\n", "# calling the ScalarMappable that was initialised with c_m and norm\n", "for i in range(C_.shape[0]):\n", " plt.plot(x,\n", " Obs[i,:].T,\n", " color=s_m.to_rgba(C_[i]))\n", "\n", "# we plot the colorbar, using again our\n", "# ScalarMappable\n", "c_bar = plt.colorbar(s_m, ax=ax)\n", "c_bar.set_label(r\"C_\")\n", "\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Machine Learning\n", "\n", "We can train a machine learning algorithm to follow changes in D as a function of C, assuming we measured both quantities.\n", "\n", "Rampy uses scikit_learn algorithms to do so in a easy way, with under-the-hood standardization and cross-validation. This is to use for \"simple\" projects, while more complicated things will required an ad hoc approach, directly using scikit-learn or any other relevant ML library.\n", "\n", "For now, we will show how we can train neural networks to link D and C, such that we can predict C from new observations of D.\n", "\n", "Let's first print the help to read the documentation..." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on class mlregressor in module rampy.ml_regressor:\n", "\n", "class mlregressor(builtins.object)\n", " | mlregressor(x, y, **kwargs)\n", " | \n", " | use machine learning algorithms from scikit learn to perform regression between spectra and an observed variable.\n", " | \n", " | Attributes\n", " | ----------\n", " | x : {array-like, sparse matrix}, shape = (n_samples, n_features)\n", " | Spectra; n_features = n_frequencies.\n", " | y : array, shape = (n_samples,)\n", " | Returns predicted values.\n", " | X_test : {array-like, sparse matrix}, shape = (n_samples, n_features)\n", " | spectra organised in rows (1 row = one spectrum) that you want to use as a testing dataset. THose spectra should not be present in the x (training) dataset. The spectra should share a common X axis.\n", " | y_test : array, shape = (n_samples,)\n", " | the target that you want to use as a testing dataset. Those targets should not be present in the y (training) dataset.\n", " | algorithm : String,\n", " | \"KernelRidge\", \"SVM\", \"LinearRegression\", \"Lasso\", \"ElasticNet\", \"NeuralNet\", \"BaggingNeuralNet\", default = \"SVM\"\n", " | scaling : Bool\n", " | True or False. If True, data will be scaled during fitting and prediction with the requested scaler (see below),\n", " | scaler : String\n", " | the type of scaling performed. Choose between MinMaxScaler or StandardScaler, see http://scikit-learn.org/stable/modules/preprocessing.html for details. Default = \"MinMaxScaler\".\n", " | test_size : float\n", " | the fraction of the dataset to use as a testing dataset; only used if X_test and y_test are not provided.\n", " | rand_state : Float64\n", " | the random seed that is used for reproductibility of the results. Default = 42.\n", " | param_kr : Dictionary\n", " | contain the values of the hyperparameters that should be provided to KernelRidge and GridSearch for the Kernel Ridge regression algorithm.\n", " | param_svm : Dictionary\n", " | containg the values of the hyperparameters that should be provided to SVM and GridSearch for the Support Vector regression algorithm.\n", " | param_neurons : Dictionary\n", " | contains the parameters for the Neural Network (MLPregressor model in sklearn).\n", " | Default= dict(hidden_layer_sizes=(3,),solver = 'lbfgs',activation='relu',early_stopping=True)\n", " | param_bagging : Dictionary\n", " | contains the parameters for the BaggingRegressor sklearn function that uses a MLPregressor base method.\n", " | Default= dict(n_estimators=100, max_samples=1.0, max_features=1.0, bootstrap=True,\n", " | bootstrap_features=False, oob_score=False, warm_start=False, n_jobs=1, random_state=rand_state, verbose=0)\n", " | prediction_train : Array{Float64}\n", " | the predicted target values for the training y dataset.\n", " | prediction_test : Array{Float64}\n", " | the predicted target values for the testing y_test dataset.\n", " | model : Scikit learn model\n", " | A Scikit Learn object model, see scikit learn library documentation.\n", " | X_scaler :\n", " | A Scikit Learn scaler object for the x values.\n", " | Y_scaler :\n", " | A Scikit Learn scaler object for the y values.\n", " | \n", " | Example\n", " | -------\n", " | \n", " | Given an array X of n samples by m frequencies, and Y an array of n x 1 concentrations\n", " | \n", " | >>> model = rampy.mlregressor(X,y)\n", " | >>> model.algorithm(\"SVM\")\n", " | >>> model.user_kernel = 'poly'\n", " | >>> model.fit()\n", " | >>> y_new = model.predict(X_new)\n", " | \n", " | Remarks\n", " | -------\n", " | \n", " | For details on hyperparameters of each algorithms, please directly consult the documentation of SciKit Learn at:\n", " | \n", " | http://scikit-learn.org/stable/\n", " | \n", " | For Support Vector and Kernel Ridge regressions, mlregressor performs a cross_validation search with using 5 KFold cross validators.\n", " | \n", " | If the results are poor with Support Vector and Kernel Ridge regressions, you will have to tune the param_grid_kr or param_grid_svm dictionnary that records the hyperparameter space to investigate during the cross validation.\n", " | \n", " | Results for machine learning algorithms can vary from run to run. A way to solve that is to fix the random_state.\n", " | For neural nets, results from multiple neural nets (bagging technique) may also generalise better, such that\n", " | it may be better to use the BaggingNeuralNet function.\n", " | \n", " | Methods defined here:\n", " | \n", " | __init__(self, x, y, **kwargs)\n", " | Parameters\n", " | ----------\n", " | x : array{Float64}\n", " | the spectra organised in rows (1 row = one spectrum). The spectra should share a common X axis.\n", " | y : Array{Float64}\n", " | Target. Only a single target is possible for now.\n", " | \n", " | fit(self)\n", " | Scale data and train the model with the indicated algorithm.\n", " | \n", " | Do not forget to tune the hyperparameters.\n", " | \n", " | Parameters\n", " | ----------\n", " | algorithm : String,\n", " | algorithm to use. Choose between \"KernelRidge\", \"SVM\", \"LinearRegression\", \"Lasso\", \"ElasticNet\", \"NeuralNet\", \"BaggingNeuralNet\", default = \"SVM\"\n", " | \n", " | predict(self, X)\n", " | Predict using the model.\n", " | \n", " | Parameters\n", " | ----------\n", " | X : {array-like, sparse matrix}, shape = (n_samples, n_features)\n", " | Samples.\n", " | \n", " | Returns\n", " | -------\n", " | C : array, shape = (n_samples,)\n", " | Returns predicted values.\n", " | \n", " | Remark\n", " | ------\n", " | if self.scaling == \"yes\", scaling will be performed on the input X.\n", " | \n", " | refit(self)\n", " | Re-train a model previously trained with fit()\n", " | \n", " | ----------------------------------------------------------------------\n", " | Data descriptors defined here:\n", " | \n", " | __dict__\n", " | dictionary for instance variables\n", " | \n", " | __weakref__\n", " | list of weak references to the object\n", "\n" ] } ], "source": [ "help(rp.mlregressor)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Choice of the algorithm\n", "\n", "Many popular algorithms are possible: [KernelRidge](http://scikit-learn.org/stable/modules/kernel_ridge.html), [SVM](http://scikit-learn.org/stable/modules/kernel_ridge.html), [LinearRegression](http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html), [Lasso](http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Lasso.html), [ElasticNet](http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.ElasticNet.html), [NeuralNet](http://scikit-learn.org/stable/modules/neural_networks_supervised.html), [BaggingNeuralNet](http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.BaggingRegressor.html#sklearn.ensemble.BaggingRegressor).\n", "\n", "LinearRegression, Lasso and ElasticNet are borned to linear problems, while KernelRidge, SVM, NeuralNet or BaggingNeuralNet can do both linear and non-linear problems. See the documentation of scikit-learn for further details, and all the articles online on those techniques. Those techniques need hyperparameters that are provided as a dictionary to `rampy.mlregressor`. I strongly encourage you to read the documentation on scikit-learn for the technique you want to use, in order to set those hyperparameters in the good range.\n", "\n", "In the present case, we are dealing with a linear problem. We thus can use the [Lasso](http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Lasso.html) or [ElasticNet](http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.ElasticNet.html) algorithms.\n", "\n", "Machine learning algorithms need a training dataset, and their performance is evaluated on a \"testing\" dataset that is unseen of the algorithm. `rp.mlregressor` can split your dataset automatically, or you can choose to provide the two different datasets. Parameters for each algorithm are provided as a dictionary, see the documentation of [scikit-learn](http://scikit-learn.org/stable/index.html) for further details on them. The datasets are also standardized/normalised inside the function (if you don't know what this means, click [here](http://scikit-learn.org/stable/modules/preprocessing.html)). The type of scaling is changed by the `scaler` option.\n", "\n", "`rp.mlregressor` creates an object that possess many attributes that are set by default but can be tweaked as preferred. The object also possess two methods: fit and predict, similar to the scikit-learn API. However, contrary to scikit-learn and due to the aim of the rampy.mlregressor class, the dataset is loaded upon initialisation of the object. Fit is performed at a second stage as one can switch easily between different algorithms.\n", "\n", "The predict function works as that of a scikit-learn model, predicting new values from a new X dataset. Scaling is performed if rampy.mlregressor.scaling is set to True.\n", "\n", "For now, we are going to load our data and create our mlregressor object:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "model = rp.mlregressor(Obs,C_true[:,0].reshape(-1,1))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This default implementation takes care of splitting the dataset in training and testing subsets in a ratio 70/30, then scaled it with a standard scaler. The test size can be seen (and then set) as:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.test_sz" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The scaler is accessed as" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'MinMaxScaler'" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.scaler" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Is scaling active?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.scaling" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we are going to fit the data switching between the available algorithms in a loop. We use the default dictionnaries for hyperparameters, which will be optimised by gridsearch for most of the algorithms. This should be further tuned in a real-life application." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in [\"KernelRidge\", \"SVM\", \"LinearRegression\", \"NeuralNet\", \"BaggingNeuralNet\"]:\n", " model.algorithm = i\n", " model.user_kernel = 'poly'\n", " model.fit()\n", " plt.figure()\n", " plt.title(model.algorithm)\n", " plt.plot(model.y_test,model.prediction_test,\"r.\",label=\"Test\")\n", " plt.plot(model.y_train,model.prediction_train,\"k.\",label=\"Train\")\n", " plt.xlabel(\"Y observed\")\n", " plt.ylabel(\"Y predicted\")\n", " plt.plot([0,1],[0,1],\"k--\",label=\"1:1 line\")\n", " plt.legend()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The support vector machine algorithm did not work well. We can try using a linear kernel, as the default one is set to radial basis function:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'poly'" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.user_kernel" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "and the hyperparameters are" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'C': [1.0,\n", " 2.0,\n", " 5.0,\n", " 10.0,\n", " 50.0,\n", " 100.0,\n", " 500.0,\n", " 1000.0,\n", " 5000.0,\n", " 10000.0,\n", " 50000.0,\n", " 100000.0],\n", " 'gamma': array([1.e-04, 1.e-03, 1.e-02, 1.e-01, 1.e+00, 1.e+01, 1.e+02, 1.e+03,\n", " 1.e+04])}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.param_svm" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can update it, and even provide other parameters if looking at sklearn help for SVM regressor." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "model.param_grid_svm = dict(C= np.logspace(-5,5,40), gamma= np.logspace(-5,5,40))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We also update the kernel..." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "model.user_kernel = 'linear'" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And run the training again... This will take longer as we explore a larger hyperparameter space..." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.algorithm = \"SVM\"\n", "model.fit()\n", "\n", "plt.figure()\n", "plt.title(model.algorithm)\n", "plt.plot(model.y_test,model.prediction_test,\"r.\",label=\"Test\")\n", "plt.plot(model.y_train,model.prediction_train,\"k.\",label=\"Train\")\n", "plt.plot([0,1],[0,1],\"k--\",label=\"1:1 line\")\n", "plt.xlabel(\"Y observed\")\n", "plt.ylabel(\"Y predicted\")\n", "plt.legend()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### We can test to refit the data with a different kernel" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.user_kernel = 'poly'\n", "model.refit() # refit avoid running again model declaration and data standardisation.\n", "\n", "plt.figure()\n", "plt.title(model.algorithm)\n", "plt.plot(model.y_test,model.prediction_test,\"r.\",label=\"Test\")\n", "plt.plot(model.y_train,model.prediction_train,\"k.\",label=\"Train\")\n", "plt.plot([0,1],[0,1],\"k--\",label=\"1:1 line\")\n", "plt.xlabel(\"Y observed\")\n", "plt.ylabel(\"Y predicted\")\n", "plt.legend()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Not really better. Maybe SVM is not the best technique for this problem, or we have a problem in the hyperparameters...\n", "\n", "Let's try other algorithms, like neural nets and their ensemble version.\n", "\n", "### Neural Nets\n", "\n", "We see above that our ensemble method that trains 100 neural nets and get an estimate from their mean. It seems to work well. We can play with the hyperparameters.\n", "\n", "First, we now train 1000 networks, not 100, by setting n_estimators to 1000.\n", "\n", "We also tune the architecture of the network, by putting 10 activation functions in a single hidden layer." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of the hidden layers:(3,)\n", "Activation functions in the hidden layers:relu\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.algorithm = \"BaggingNeuralNet\"\n", "model.param_bagging = dict(n_estimators=1000, max_samples=100, max_features=len(x), bootstrap=True, bootstrap_features=False, oob_score=False, warm_start=False, n_jobs=2, verbose=0)\n", "\n", "print(\"Shape of the hidden layers:\"+str(model.param_neurons['hidden_layer_sizes']))\n", "print(\"Activation functions in the hidden layers:\"+str(model.param_neurons['activation']))\n", "\n", "model.fit()\n", "plt.figure()\n", "plt.title(model.algorithm)\n", "plt.plot(model.y_test,model.prediction_test,\"r.\",label=\"Test\")\n", "plt.plot(model.y_train,model.prediction_train,\"k.\",label=\"Train\")\n", "plt.plot([0,1],[0,1],\"k--\",label=\"1:1 line\")\n", "plt.xlabel(\"Y observed\")\n", "plt.ylabel(\"Y predicted\")\n", "plt.legend()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The networks perform not very well with this setup... The [BaggingRegressor](http://scikit-learn.org/stable/modules/generated/sklearn.ensemble.BaggingRegressor.html) uses a base model, which actually is the MLPregressor used when setting `rampy.mlregressor.algorithm = \"NeuralNets\"`. It is possible to tweak the hyperparameters of the base regressor to try improving the fit. \n", "\n", "We see above that we have 1 hidden layer with 3 RELU units. Let's have 3 layers with 10 units in each layer. This is a deeper network that can work well on complex problems. We increase the number of hidden layers (in a tuple), as described in scikit-learn [MLPregressor help](http://scikit-learn.org/stable/modules/generated/sklearn.neural_network.MLPRegressor.html):" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "model.param_neurons['hidden_layer_sizes'] = (10,) \n", "model.param_neurons['activation'] = \"relu\" # we also could try changing the activation to tanh. Try it!" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of the hidden layers:(10,)\n", "Activation functions in the hidden layers:relu\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.algorithm = \"BaggingNeuralNet\"\n", "print(\"Shape of the hidden layers:\"+str(model.param_neurons['hidden_layer_sizes']))\n", "print(\"Activation functions in the hidden layers:\"+str(model.param_neurons['activation']))\n", "model.fit()\n", "plt.figure()\n", "plt.title(model.algorithm)\n", "plt.plot(model.y_test,model.prediction_test,\"r.\",label=\"Test\")\n", "plt.plot(model.y_train,model.prediction_train,\"k.\",label=\"Train\")\n", "plt.plot([0,1],[0,1],\"k--\",label=\"1:1 line\")\n", "plt.xlabel(\"Y observed\")\n", "plt.ylabel(\"Y predicted\")\n", "plt.legend()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Predicting new values from this model\n", "\n", "Now we have made new observations, and we want to predict C given D. We can do that easily:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "generating 10 new observations\n", "Shape of concentration matrix:(10, 2)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"generating 10 new observations\")\n", "C_new_ = np.random.rand(10) #10 samples with random concentrations between 0 and 1\n", "C_new_true = np.vstack((C_new_,(1-C_new_))).T\n", "print(\"Shape of concentration matrix:\"+str(C_new_true.shape))\n", "\n", "noise_new = np.random.randn(len(x))*1e-4\n", "Obs_new = np.dot(C_new_true,S_true) + noise_new\n", "\n", "plt.plot(x,Obs_new.T)\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.title(\"Our new observations in the same chemical system\")\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Predictions!" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "C_new_predicted = model.predict(Obs_new)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Comparison!" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Y predicted')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.title(\"New predictions with algorithm \"+model.algorithm)\n", "plt.plot(C_new_,C_new_predicted,\"ko\")\n", "plt.plot([0,1],[0,1],\"k--\",label=\"1:1 line\")\n", "plt.xlabel(\"Y observed\")\n", "plt.ylabel(\"Y predicted\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### RMSE!" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mean RMSE between newly predicted and observed data:0.009187505874316186\n" ] } ], "source": [ "from sklearn.metrics import mean_squared_error as mse\n", "\n", "print(\"mean RMSE between newly predicted and observed data:\" + str(np.sqrt(mse(C_new_,C_new_predicted))))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "kernelspec": { "display_name": "gpvisc", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 2 }