{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## **Compositional Kernel Search for Gaussian Processes**\n", "\n", "Despite its importance, choosing the right covariance kernel to use with a Gaussian Process model can be a difficult task. For example, when modelling long-term historical data, one may be interested in local seasonal effects (short-term periodic parts of the signal), as well as long-term global trends.\n", "\n", "In addition to the commonly chosen kernel functions, the space of possible kernels become very complicated when including _compositional kernels_, such as adding or multiplying two kernels together. For a brief reference on compositional kernels, see [here](https://www.cs.toronto.edu/~duvenaud/cookbook/).\n", "\n", "The `twinlab` library comes with a feature called _Model Selection_ which automates the process of kernel selection and composition. This algorithm is a mix of two well-known algorithms: [Compositional Kernel Search](https://arxiv.org/pdf/1302.4922.pdf) and [Scalable Structure Discovery](http://proceedings.mlr.press/v84/kim18a/kim18a.pdf).\n", "\n", "This notebook will cover:\n", "\n", "- Compositional Kernel Search in `Emulator`\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " ====== TwinLab Client Initialisation ======\n", " Version : 2.0.0\n", " Server : http://127.0.0.1:3000\n", " Environment : /Users/jaspercantwell/Repos/twinLab-Demos/.env\n", "\n" ] } ], "source": [ "# Third party imports\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "# twinlab import\n", "import twinlab as tl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **Problem Formulation**\n", "\n", "Here, we will design a function with multiple components that may be interest for modelling purposes.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The true function\n", "def oscillator(x):\n", " return np.cos((x - 5) / 2) * np.sin(10 * x / 5) + x * 0.2\n", "\n", "\n", "X = np.linspace(-15, 15, 100)[:, np.newaxis]\n", "y = oscillator(X) # Arrange outputs as feature columns\n", "\n", "n_data = 200\n", "X_data = np.random.uniform(-10, 10, size=n_data)\n", "y_data = oscillator(X_data)\n", "\n", "plt.plot(X, y)\n", "plt.scatter(X_data, y_data)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
xy
08.7112182.020326
19.9245671.330421
2-6.551718-1.757520
3-0.5078270.685194
4-9.283974-1.675230
\n", "
" ], "text/plain": [ " x y\n", "0 8.711218 2.020326\n", "1 9.924567 1.330421\n", "2 -6.551718 -1.757520\n", "3 -0.507827 0.685194\n", "4 -9.283974 -1.675230" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Convert to dataframe\n", "df = pd.DataFrame({\"x\": X_data, \"y\": y_data})\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataframe is uploading.\n", "Processing dataset\n", "Dataset ModelSelect_Data was processed.\n" ] } ], "source": [ "# Define the name of the dataset\n", "dataset_id = \"ModelSelect_Data\"\n", "\n", "# Initialise a Dataset object\n", "dataset = tl.Dataset(id=dataset_id)\n", "\n", "# Upload the dataset to the cloud\n", "dataset.upload(df, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **GP without Model Selection**\n", "\n", "For a fair comparison, we will want to run a standard GP with the ubiquitous Matern 5/2 kernel first.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model BasicGP has begun training.\n", "Training complete!\n", "\n" ] } ], "source": [ "# Initialise emulator\n", "emulator_id = \"BasicGP\"\n", "\n", "emulator = tl.Emulator(id=emulator_id)\n", "\n", "# Define the training parameters for your emulator\n", "params = tl.TrainParams(\n", " train_test_ratio=0.75, estimator=\"gaussian_process_regression\"\n", ")\n", "\n", "# Train the mulator using the train method\n", "emulator.train(\n", " dataset=dataset, inputs=[\"x\"], outputs=[\"y\"], params=params, verbose=True\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot inference results\n", "df_pred = emulator.predict(pd.DataFrame(X, columns=[\"x\"]))\n", "result_df = pd.concat([df_pred[0], df_pred[1]], axis=1)\n", "df_mean, df_stdev = result_df.iloc[:, 0], result_df.iloc[:, 1]\n", "y_mean, y_stdev = df_mean.values, df_stdev.values\n", "\n", "plt.fill_between(\n", " X.flatten(),\n", " (y_mean - 1.96 * y_stdev).flatten(),\n", " (y_mean + 1.96 * y_stdev).flatten(),\n", " color=\"k\",\n", " alpha=0.1,\n", ")\n", "\n", "plt.scatter(df[\"x\"], df[\"y\"], alpha=0.5, label=\"Training Data\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "\n", "plt.plot(X, y, c=\"r\", linewidth=2, label=\"True Function\")\n", "plt.plot(X, y_mean, c=\"k\", linewidth=2, linestyle=\"dashed\", label=\"Prediction\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **GP with Model Selection**\n", "\n", "Model selection in `twinlab` is exposed via the `'model_selection'=True` parameter in the `TrainParams` object. Additional parameters to control the model selection process can be passed to the `'model_selection_params'` parameter which accepts an instantiation of the `ModelSelectionParams` object.\n", "\n", "`ModelSelectionParams` object contains all the parameters required for the model selection process. This includes `'depth'`, which controls the maximum number of compositional kernels to search for, and `'beam'`, which controls the number of successful trials carried between search iterations. `'beam'=1` corresponds to greedy search, and `'beam'=None` corresponds to grid search (this is the default, but will result in exponential computational complexity). It is highly recommended to also provide a `'seed'` keyword parameter to allow reproducibility.\n", "\n", "Note that the model achieved by this process is no more _correct_ when compared to the basic model (as they are just different ways of describing the same data), however the model with automatic compositional kernel may have better extrapolation properties.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model ModelSelectionGP has begun training.\n", "Training complete!\n", "\n" ] } ], "source": [ "# Initialise emulator\n", "emulator_id = \"ModelSelectionGP\"\n", "\n", "model_selection_emulator = tl.Emulator(id=emulator_id)\n", "\n", "# Define the model selction parameters\n", "model_selection_params = tl.ModelSelectionParams(depth=4, beam=2, seed=123)\n", "\n", "# Define the training parameters for your emulator\n", "new_params = tl.TrainParams(\n", " model_selection=True,\n", " model_selection_params=model_selection_params,\n", " train_test_ratio=0.75,\n", " estimator=\"gaussian_process_regression\",\n", ")\n", "\n", "# Train the mulator using the train method\n", "model_selection_emulator.train(\n", " dataset=dataset, inputs=[\"x\"], outputs=[\"y\"], params=new_params, verbose=True\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot inference results\n", "df_pred = model_selection_emulator.predict(pd.DataFrame(X, columns=[\"x\"]))\n", "result_df = pd.concat([df_pred[0], df_pred[1]], axis=1)\n", "df_mean, df_stdev = result_df.iloc[:, 0], result_df.iloc[:, 1]\n", "y_mean, y_stdev = df_mean.values, df_stdev.values\n", "\n", "plt.fill_between(\n", " X.flatten(),\n", " (y_mean - 1.96 * y_stdev).flatten(),\n", " (y_mean + 1.96 * y_stdev).flatten(),\n", " color=\"k\",\n", " alpha=0.1,\n", ")\n", "\n", "plt.scatter(df[\"x\"], df[\"y\"], alpha=0.5, label=\"Training Data\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "\n", "plt.plot(X, y, c=\"r\", linewidth=2, label=\"True Function\")\n", "plt.plot(X, y_mean, c=\"k\", linewidth=2, linestyle=\"dashed\", label=\"Prediction\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Delete emulators and dataset\n", "emulator.delete()\n", "model_selection_emulator.delete()\n", "\n", "dataset.delete()" ] } ], "metadata": { "kernelspec": { "display_name": "twinlab-T1BT2Sfn-py3.9", "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": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 2 }