{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## **Gaussian Process with Observation Noise**\n", "\n", "Real-world processes often involve inherent noise or error that can originate from various sources. The ability to model and account for this observation noise is crucial for building robust and accurate models. Whether it's data collected from sensors, experiments, or any other source, understanding and quantifying the noise in the data can lead to more reliable predictions.\n", "\n", "In the world of Gaussian Processes, the default assumption is often that the observation noise is homoskedastic, meaning it remains constant across all data points. However, this assumption may not always hold in practice. In many cases, we have prior knowledge or measurements of the actual noise levels associated with each observation. This knowledge can be invaluable for creating more precise and data-driven models.\n", "\n", "This notebook will cover:\n", "\n", "- Homoskedastic Gaussian Process (For fixed noise)\n", "- Heteroskedastic Gaussian Process (for varying noise)\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 : https://twinlab.digilab.co.uk\n", " Environment : /Users/mead/digiLab/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 formulate an exact function to do regression on, and subsequently add noise to the data.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# The true function\n", "def oscillator(x):\n", " return np.cos((x - 5) / 2) ** 2 * x * 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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **Homoskedastic GP Emulator**\n", "\n", "In `twinlab`, a homoskedastic GP model is exposed via the keyword argument `estimator_type=\"fixed_noise_gp\"` which must be provided to the `estimator_params` within the `TrainParams` object during initialisation.\n", "\n", "Additionally, a new `DataFrame` called `df_stdev`, containing the standard deviation of the observation noise/error, must be uploaded and added to the `TrainParams` object. This additional table must contain the same columns as the mean data. Since the noise model is homoskedastic, the noise must be the same value everywhere.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise_scale = 1.0\n", "\n", "# Add noise to data\n", "y_data_homoskedastic = y_data + np.random.normal(scale=noise_scale, size=X_data.shape)\n", "\n", "# Convert to dataframe\n", "df = pd.DataFrame({\"x\": X_data, \"y\": y_data_homoskedastic})\n", "\n", "# Generate observation noise dataframe\n", "df_stdev = pd.DataFrame({\"y\": np.full_like(y_data_homoskedastic, noise_scale)})\n", "\n", "plt.plot(X, y)\n", "plt.scatter(X_data, y_data_homoskedastic)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Define the name of the dataset\n", "dataset_id = \"ObsNoise_Data\"\n", "\n", "# Upload the dataset to the cloud\n", "dataset = tl.Dataset(dataset_id)\n", "dataset.upload(df)\n", "\n", "# Define the name of the std dataset\n", "std_dataset_id = \"ObsNoise_STD_Data\"\n", "\n", "# Upload the dataset to the cloud\n", "std_dataset = tl.Dataset(std_dataset_id)\n", "std_dataset.upload(df_stdev)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Initialise emulator\n", "emulator_id = \"HomoskedasticGP\"\n", "emulator = tl.Emulator(emulator_id)\n", "\n", "# Define the training and estimator parameters\n", "estimator_params = tl.EstimatorParams(estimator_type=\"fixed_noise_gp\")\n", "params = tl.TrainParams(dataset_std=std_dataset, estimator_params=estimator_params)\n", "\n", "# Begin training the emulator\n", "emulator.train(dataset, [\"x\"], [\"y\"], params)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define an evaluation dataset and predicts the outputs using the emulator\n", "eval_data = pd.DataFrame(X, columns=[\"x\"])\n", "df_mean, df_stdev = emulator.predict(eval_data)\n", "y_mean, y_stdev = df_mean.values, df_stdev.values\n", "\n", "# Plot inference results\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)\n", "plt.plot(X, y_mean, c=\"k\", linewidth=2, linestyle=\"dashed\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **Heteroskedastic GP Emulator**\n", "\n", "In `twinlab`, a heteroskedastic GP model is exposed via the keyword argument `estimator_type=\"heteroskedastic_gp\"` which must be provided to the `estimator_params` within the `TrainParams` object during initialisation.\n", "\n", "Additionally, a new `DataFrame` called `df_stdev`, containing the standard deviation of the observation noise/error, must be uploaded and added to the `TrainParams` object. This additional table must contain the same columns as the mean data. Since the noise model is homoskedastic, the noise must be the same value everywhere.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise_scale = 0.5\n", "\n", "# Add noise to data\n", "y_data_heteroskedastic = (\n", " y_data + np.random.normal(scale=noise_scale, size=X_data.shape[0]) * X_data * 2\n", ")\n", "\n", "# Convert to dataframe\n", "df = pd.DataFrame({\"x\": X_data, \"y\": y_data_heteroskedastic})\n", "\n", "# Generate observation noise dataframe\n", "df_stdev = pd.DataFrame({\"y\": X_data * 2})\n", "\n", "plt.plot(X, y)\n", "plt.scatter(X_data, y_data_heteroskedastic)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Define the name of the dataset\n", "dataset_id = \"ObsNoise_Data\"\n", "\n", "# Upload the dataset to the cloud\n", "dataset = tl.Dataset(dataset_id)\n", "dataset.upload(df)\n", "\n", "# Define the name of the std dataset\n", "std_dataset_id = \"ObsNoise_STD_Data\"\n", "\n", "# Upload the dataset to the cloud\n", "std_dataset = tl.Dataset(std_dataset_id)\n", "std_dataset.upload(df_stdev)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Initialise emulator\n", "emulator_id = \"HeteroskedasticGP\"\n", "emulator = tl.Emulator(emulator_id)\n", "\n", "# Define the training and estimator parameters\n", "estimator_params = tl.EstimatorParams(estimator_type=\"heteroskedastic_gp\")\n", "params = tl.TrainParams(dataset_std=std_dataset, estimator_params=estimator_params)\n", "\n", "# Begin training the emulator\n", "emulator.train(dataset, [\"x\"], [\"y\"], params)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define an evaluation dataset and predicts the outputs using the emulator\n", "eval_data = pd.DataFrame(X, columns=[\"x\"])\n", "df_mean, df_stdev = emulator.predict(eval_data)\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)\n", "plt.plot(X, y_mean, c=\"k\", linewidth=2, linestyle=\"dashed\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Delete emulator and dataset\n", "emulator.delete()\n", "dataset.delete()\n", "std_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 }