{ "cells": [ { "cell_type": "markdown", "id": "647a9221-ab79-464c-91f0-eed8fb7b3be9", "metadata": {}, "source": [ "# Automatic differentiation\n", "Many algorithms require not only the function itself, but also the derivative to work.\n", "For sufficiently complex functions, computing the derivative by hand can be quite tedious,\n", "which is why one may want to use automatic differentiation libraries such as [Autograd](https://github.com/hips/autograd)\n", "or its successor [JAX](https://github.com/google/jax). JAX offers more functionality than just differentation, such as\n", "just-in-time compilation of functions to improve performance, but in this section we will focus on automatic differentiation using JAX (the API of Autograd should work roughly the same).\n", "\n", "The basis for automatic differentiation is JAXs ```grad``` function. ```grad``` takes a function and returns that functions derivative. " ] }, { "cell_type": "code", "execution_count": 1, "id": "fac22969-1e9e-46d5-a21c-972f413bb780", "metadata": {}, "outputs": [], "source": [ "from jax import grad\n", "\n", "\n", "def f(x):\n", " return x**5 + 30 * x**2 + 5\n", "\n", "\n", "df = grad(f)" ] }, { "cell_type": "code", "execution_count": 2, "id": "3ab5e193-cefb-4865-be35-4afa80dbeadf", "metadata": { "nbsphinx": "hidden", "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 413, "width": 555 } }, "output_type": "display_data" } ], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "ax = np.linspace(-3, 2, 100)\n", "fax = [f(x) for x in ax]\n", "dfax = [df(x) for x in ax]\n", "plt.plot(ax, fax, label=\"$f(x)=x^5+30x^2+5$\")\n", "plt.plot(ax, dfax, label=\"$f'(x)=5x^4+60x$\")\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "95b36177-ae5e-4674-8762-703cd3313c71", "metadata": {}, "source": [ "```grad``` can also handle basic python control structures like loops or conditionals:" ] }, { "cell_type": "code", "execution_count": 3, "id": "dabef53f-a918-4868-8566-354fe98703e5", "metadata": {}, "outputs": [], "source": [ "roots = [0.4, 3.8, -2]\n", "\n", "\n", "def f(x):\n", " product = 1\n", " for r in roots:\n", " product *= x - r\n", " return product\n", "\n", "\n", "df = grad(f)" ] }, { "cell_type": "code", "execution_count": 4, "id": "d3416d37-fb9e-4c35-bb2f-d73ba5ec4f3a", "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 413, "width": 555 } }, "output_type": "display_data" } ], "source": [ "ax = np.linspace(-3, 5, 100)\n", "fax = [f(x) for x in ax]\n", "dfax = [df(x) for x in ax]\n", "plt.plot(ax, fax, label=\"$f(x)$\")\n", "plt.plot(ax, dfax, label=\"$f'(x)$\")\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "086c196a-5856-4fd4-9a24-03c431b74f16", "metadata": {}, "source": [ "To use numpy functions, JAX exposes a wrapper to numpy:" ] }, { "cell_type": "code", "execution_count": 5, "id": "513404e6-796c-4362-8041-7860b85b24d5", "metadata": {}, "outputs": [], "source": [ "import jax.numpy as jnp\n", "\n", "\n", "def f(x):\n", " return jnp.sin(x)\n", "\n", "\n", "df = grad(f)" ] }, { "cell_type": "code", "execution_count": 6, "id": "45fa31e2-24b4-4455-97bf-8a3aeefb2eb5", "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 418, "width": 574 } }, "output_type": "display_data" } ], "source": [ "ax = np.linspace(-10, 10, 100)\n", "fax = [f(x) for x in ax]\n", "dfax = [df(x) for x in ax]\n", "plt.plot(ax, fax, label=\"$f(x)$\")\n", "plt.plot(ax, dfax, label=\"$f'(x)$\")\n", "plt.legend()\n", "plt.grid()\n", "plt.ylim(-2, 2)\n", "plt.xlim(-10, 10)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "48b3ce16-5abe-47c4-bccd-cc494121face", "metadata": {}, "source": [ "Since ```grad``` returns a function, one can apply it to itself again to obtain higher-order derivatives:" ] }, { "cell_type": "code", "execution_count": 7, "id": "d1ff079f-d624-42be-afd8-dc9da26a5428", "metadata": {}, "outputs": [], "source": [ "d6f = grad(grad(grad(grad(grad(grad(f))))))" ] }, { "cell_type": "code", "execution_count": 8, "id": "c2c17548-531d-4106-8c68-bf72f1a17003", "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 418, "width": 574 } }, "output_type": "display_data" } ], "source": [ "ax = np.linspace(-10, 10, 100)\n", "fax = [f(x) for x in ax]\n", "dfax = [df(x) for x in ax]\n", "plt.plot(ax, fax, label=\"$f(x)$\")\n", "plt.plot(ax, [d6f(x) for x in ax], label=\"$f^{(6)}(x)$\")\n", "plt.legend()\n", "plt.grid()\n", "plt.ylim(-2, 2)\n", "plt.xlim(-10, 10)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d5f66536-fd76-4dbe-9377-901308ddb248", "metadata": {}, "source": [ "## Caveats\n", "When using JAX, one needs to be aware of its disadvantages and technicalities.\n", "\n", "First off, if ```f``` returns a real or complex number, ```df=grad(f)```returns a ```DeviceArray```-type. To ensure\n", "that this works with PyZEAL, ```df``` has to be wrapped:" ] }, { "cell_type": "code", "execution_count": 9, "id": "c412200e-5f4c-45d7-a3bd-2bef5773a4b9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n" ] } ], "source": [ "def f(x):\n", " return x**5 - 1\n", "\n", "\n", "_df = grad(f)\n", "\n", "\n", "def df(x):\n", " return complex(_df(x))\n", "\n", "\n", "print(type(_df(1.0)), type(df(1.0)))" ] }, { "cell_type": "markdown", "id": "e2996f00-2f74-4e8f-a14c-fb95884f6cc6", "metadata": {}, "source": [ "Further, ```grad``` has to be called with ```holomorphic=True``` to support differentiation at complex inputs.\n", "A working example with the Newton-rootfinder would be:" ] }, { "cell_type": "code", "execution_count": 10, "id": "7d1bf34c-53df-42b3-aa83-9688d1885a23", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Roots: [-0.809017-0.587785j 0.309017-0.951057j 0.309017+0.951057j\n", " -0.809017+0.587785j 1. +0.j ]\n" ] } ], "source": [ "from rootfinder.newton_grid import NewtonGridRootFinder\n", "from jax import grad\n", "\n", "\n", "def f(x):\n", " return x**5 - 1\n", "\n", "\n", "_df = grad(f, holomorphic=True)\n", "\n", "\n", "def df(x):\n", " return complex(_df(x))\n", "\n", "\n", "gridRF = NewtonGridRootFinder(f, df)\n", "gridRF.calcRoots((-2.0, 2.0), (-2.0, 2.0), (6, 6))\n", "print(\"Roots: \" + str(gridRF.getRoots()))" ] }, { "cell_type": "markdown", "id": "88280501-942f-4090-b28a-db4ad0ec747f", "metadata": {}, "source": [ "If you run this example, you will notice a significant hit to performance. Used like this, JAXs automatic differentiation is drastically slower than direct evaluation, as can be seen in this comparison:" ] }, { "cell_type": "code", "execution_count": 11, "id": "63d7f0ff-38d0-4b14-9cbc-b5af0e77e893", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.13 s ± 178 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n", "186 ms ± 754 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "gridRF2 = NewtonGridRootFinder(f, df=lambda x: 5 * x**4)\n", "\n", "%timeit gridRF.calcRoots((-2.0, 2.0), (-2.0, 2.0), (6, 6)) # using JAX\n", "%timeit gridRF2.calcRoots((-2.0, 2.0), (-2.0, 2.0), (6, 6)) # normal" ] }, { "cell_type": "markdown", "id": "407271b1-145d-42bc-9b18-57f8492e7409", "metadata": {}, "source": [ "Thus, one should try to avoid automatic differentiation if runtime is of concern." ] } ], "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": "3.8.15" } }, "nbformat": 4, "nbformat_minor": 5 }