{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "26bb6b59",
   "metadata": {},
   "source": [
    "# How to visualize optimizer histories\n",
    "\n",
    "Estimagic's `criterion_plot` can visualize the history of function values for one or multiple optimizations. \n",
    "Estimagic's `params_plot` can visualize the history of parameter values for one optimization. \n",
    "\n",
    "This can help you to understand whether your optimization actually converged and if not, which parameters are problematic. \n",
    "\n",
    "It can also help you to find the fastest optimizer for a given optimization problem. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8675ff3f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import estimagic as em\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb392c18",
   "metadata": {},
   "source": [
    "## Run two optimization to get example results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5efb43c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def sphere(x):\n",
    "    return x @ x\n",
    "\n",
    "\n",
    "results = {}\n",
    "for algo in [\"scipy_lbfgsb\", \"scipy_neldermead\"]:\n",
    "    results[algo] = em.minimize(sphere, params=np.arange(5), algorithm=algo)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6472dcc",
   "metadata": {},
   "source": [
    "## Make a single criterion plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "32cf04a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = em.criterion_plot(results[\"scipy_neldermead\"])\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a2050c4",
   "metadata": {},
   "source": [
    "## Compare two optimizations in a criterion plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d641708a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = em.criterion_plot(results)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b875eed",
   "metadata": {},
   "source": [
    "## Use some advanced options of criterion_plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "72b6938c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = em.criterion_plot(\n",
    "    results,\n",
    "    # cut off after 180 evaluations\n",
    "    max_evaluations=180,\n",
    "    # show only the current best function value\n",
    "    monotone=True,\n",
    ")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef9e2e0b",
   "metadata": {},
   "source": [
    "## Make a params plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "45e853a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = em.params_plot(results[\"scipy_neldermead\"])\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61df05f0",
   "metadata": {},
   "source": [
    "## Use advanced options of params plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c09ded87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = em.params_plot(\n",
    "    results[\"scipy_neldermead\"],\n",
    "    # cut off after 180 evaluations\n",
    "    max_evaluations=180,\n",
    "    # select only the last three parameters\n",
    "    selector=lambda x: x[2:],\n",
    ")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b663015",
   "metadata": {},
   "source": [
    "## criterion_plot with multistart optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "70099614",
   "metadata": {},
   "outputs": [],
   "source": [
    "def alpine(x):\n",
    "    return np.sum(np.abs(x * np.sin(x) + 0.1 * x))\n",
    "\n",
    "\n",
    "res = em.minimize(\n",
    "    sphere,\n",
    "    params=np.arange(10),\n",
    "    soft_lower_bounds=np.full(10, -3),\n",
    "    soft_upper_bounds=np.full(10, 10),\n",
    "    algorithm=\"scipy_neldermead\",\n",
    "    multistart=True,\n",
    "    multistart_options={\"n_samples\": 1000, \"convergence.max_discoveries\": 10},\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e21dcd65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = em.criterion_plot(res, max_evaluations=3000)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf0d7376",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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
}