{ "cells": [ { "cell_type": "markdown", "id": "8430a5c1", "metadata": {}, "source": [ "# How to plot derivatives\n", "\n", "In this guide, we show you how to plot numerical derivatives that were calculated using estimagic's `first_derivative` function." ] }, { "cell_type": "markdown", "id": "9d8927f1", "metadata": {}, "source": [ "## Why plot your derivatives?\n", "\n", "In estimagic, derivatives are mainly used to help in optimization. When an optimization process is stuck, it may be helpful in the debugging procedure to examine the derivative more closely." ] }, { "cell_type": "markdown", "id": "d155660a", "metadata": {}, "source": [ "## Univariate functions\n", "\n", "The function ``derivative_plot`` works on the dictionary returned by ``first_derivative``. Note that this **requires** ``return_func_value`` and ``return_info`` to be set to True, **and** ``n_steps`` to be larger than 1." ] }, { "cell_type": "code", "execution_count": 1, "id": "1c033ff9", "metadata": {}, "outputs": [], "source": [ "import estimagic as em\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "id": "b8df45e8", "metadata": {}, "outputs": [], "source": [ "def sphere(params):\n", " return params @ params" ] }, { "cell_type": "code", "execution_count": 3, "id": "d3578f81", "metadata": {}, "outputs": [], "source": [ "fd = em.first_derivative(\n", " func=sphere, params=np.zeros(1), n_steps=4, return_func_value=True, return_info=True\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "0c4f9327", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.derivative_plot(fd)\n", "\n", "fig = fig.update_layout(width=800, height=500)\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "37abbcc5", "metadata": {}, "source": [ "### Description:\n", "\n", "The figure visualizes the function evaluations, the best estimate of the derivative, as well as forward, central and, backward derivative estimates. Forward and backward estimates come with bands that are calculated by applying the standard (forward/backward) formula on the smallest and largest possible steps. **These bands are not confidence intervals**, they shall merely give a rough overview as to where the true derivative may lie." ] }, { "cell_type": "markdown", "id": "b6a0ba22", "metadata": {}, "source": [ "## Multivariate functions" ] }, { "cell_type": "code", "execution_count": 5, "id": "101c6d0f", "metadata": {}, "outputs": [], "source": [ "def multivariate(params):\n", " y1 = params[0] ** 3 + params[1]\n", " y2 = params[2] ** 2 - params[0]\n", " return np.array([y1, y2])" ] }, { "cell_type": "code", "execution_count": 6, "id": "ed0102c6", "metadata": {}, "outputs": [], "source": [ "fd = em.first_derivative(\n", " func=multivariate,\n", " params=np.zeros(3),\n", " n_steps=4,\n", " return_func_value=True,\n", " return_info=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "id": "b9d37dd0", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.derivative_plot(fd)\n", "\n", "fig = fig.update_layout(height=1000, width=1000)\n", "fig.show(renderer=\"png\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 5 }