{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cd956651",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy.random as npr\n",
    "\n",
    "import jax.numpy as jnp\n",
    "import jax \n",
    "\n",
    "from scipy.optimize import curve_fit\n",
    "from jax.experimental.ode import odeint\n",
    "from jax.scipy.optimize import minimize\n",
    "\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3f296040",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logistic(t, y0, r, K):\n",
    "    return K / (1 - (1 - K/y0) * jnp.exp(-r * t))\n",
    "\n",
    "def logistic_loss(params, t, y):\n",
    "    yhat = logistic(t, *params)\n",
    "    return jnp.mean((yhat - y)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a1e2a57b",
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 1.2\n",
    "r = 0.5\n",
    "y0 = 0.2\n",
    "reps = 5\n",
    "t = jnp.linspace(0, 24, 24*2)\n",
    "t = jnp.array([t]*reps).squeeze()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "03962103",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = logistic(t, y0, r, K) \n",
    "y += npr.normal(0, y*0.025, size=t.shape)\n",
    "y = y.squeeze()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "85a21979",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 432,
       "width": 567
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t.T, y.T, '-k', alpha=1/reps)\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y')\n",
    "plt.xlim(0, 24);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "351ce615",
   "metadata": {},
   "source": [
    "### Curve fitting the equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "09be8597",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 84.8 ms, sys: 2.8 ms, total: 87.6 ms\n",
      "Wall time: 87.8 ms\n"
     ]
    }
   ],
   "source": [
    "params_guess = jnp.array([y.min(), 1, y.max()])\n",
    "%time params, pcov = curve_fit(logistic, t.ravel(), y.ravel(), params_guess)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3743e6da",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2 0.5 1.2 | 0.0006755638\n",
      "0.1999 0.4979 1.2032  | 0.00066955865\n"
     ]
    },
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       "\" clip-path=\"url(#p73624d6554)\" style=\"fill: none; stroke: #ff0000; stroke-width: 1.5; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 30.103125 273.312 \n",
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       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 387.223125 273.312 \n",
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       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 30.103125 273.312 \n",
       "L 387.223125 273.312 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 30.103125 7.2 \n",
       "L 387.223125 7.2 \n",
       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
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       "   <rect x=\"30.103125\" y=\"7.2\" width=\"357.12\" height=\"266.112\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 552
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(y0, r, K, '|', logistic_loss((y0, r, K), t, y))\n",
    "print((\"{:.4f} \"*3).format(*params), '|', logistic_loss(params, t, y))\n",
    "\n",
    "plt.plot(t, y, '.k')\n",
    "plt.plot(t.T, logistic(t, *params).T, '-r');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba98fcc1",
   "metadata": {},
   "source": [
    "### Curve fitting the logistic ODE - JAX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "567cce8a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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   "source": [
    "def logistic_ode(y, t, r, K):\n",
    "    return r * y * (1 - y/K)\n",
    "\n",
    "def logistic_odeint(t, y0, r, K):\n",
    "    return odeint(logistic_ode, y0, t, r, K)\n",
    "\n",
    "plt.plot(t[0], logistic_odeint(t[0], y0, r, K));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "356022a1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0006755643\n"
     ]
    }
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   "source": [
    "def logistic_odeint_loss(params, t, y):\n",
    "    yhat = logistic_odeint(t, *params).reshape((1, -1))\n",
    "    return jnp.mean((yhat - y)**2)\n",
    "\n",
    "print(logistic_odeint_loss([y0, r, K], t[0], y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "dd1400cd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 4.09 s, sys: 153 ms, total: 4.25 s\n",
      "Wall time: 4.17 s\n",
      "False\n"
     ]
    }
   ],
   "source": [
    "%time res_minimize = minimize(logistic_odeint_loss, params_guess, args=(t[0], y), method='BFGS')\n",
    "print(res_minimize.success)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ad19fb54",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.93 s, sys: 91.8 ms, total: 3.02 s\n",
      "Wall time: 2.95 s\n",
      "True\n"
     ]
    }
   ],
   "source": [
    "if not res_minimize.success:\n",
    "    %time res_minimize = minimize(logistic_odeint_loss, res_minimize.x, args=(t[0], y), method='BFGS')\n",
    "    print(res_minimize.success)"
   ]
  },
  {
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   "execution_count": 13,
   "id": "4ce49e80",
   "metadata": {},
   "outputs": [
    {
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     "output_type": "stream",
     "text": [
      "0.2 0.5 1.2 | 0.0006755643\n",
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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
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     },
     "metadata": {
      "image/png": {
       "height": 413,
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     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(y0, r, K, '|', logistic_odeint_loss([y0, r, K], t[0], y))\n",
    "print((\"{:.4f} \"*3).format(*res_minimize.x), '|', logistic_odeint_loss(res_minimize.x, t[0], y))\n",
    "\n",
    "plt.plot(t, y, '.k')\n",
    "plt.plot(t[0], logistic_odeint(t[0], *res_minimize.x), '-r');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c24405c-ee51-4475-bbd6-56eebbd52515",
   "metadata": {},
   "source": [
    "# Better JAX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9496795c-d6f7-4a54-a923-6727d1765919",
   "metadata": {},
   "outputs": [],
   "source": [
    "import diffrax, jaxopt, optax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2ff1bbdf-2fdc-4e54-af7d-3749da38dd56",
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
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   "source": [
    "def logistic_ode(t, y, args):\n",
    "    r, K = args\n",
    "    return r * y * (1 - y/K)\n",
    "term = diffrax.ODETerm(logistic_ode) \n",
    "\n",
    "def logistic_odeint(t, y0, r, K):\n",
    "    solver = diffrax.Tsit5()\n",
    "    sol = diffrax.diffeqsolve(\n",
    "        term, solver, args=(r, K), saveat=diffrax.SaveAt(ts=t),\n",
    "        t0=t[0], t1=t[-1], dt0=t[1]-t[0], y0=y0\n",
    "    )\n",
    "    return sol.ys\n",
    "\n",
    "plt.plot(t[0], logistic_odeint(t[0], y0, r, K));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "44b9362a-8e66-431e-b8e7-b4ac5919377d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0006755637\n"
     ]
    }
   ],
   "source": [
    "def logistic_odeint_loss(params, t, y):\n",
    "    yhat = logistic_odeint(t, *params).reshape((1, -1))\n",
    "    return jnp.mean((yhat - y)**2)\n",
    "\n",
    "print(logistic_odeint_loss([y0, r, K], t[0], y))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "285f19e5-5e01-403d-b924-5cb12211e231",
   "metadata": {},
   "source": [
    "## JaxOpt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "f59892ea-b034-4f0e-8652-d08bc54af475",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 3.78 s, sys: 131 ms, total: 3.91 s\n",
      "Wall time: 3.83 s\n"
     ]
    }
   ],
   "source": [
    "solver = jaxopt.GradientDescent(fun=logistic_odeint_loss)\n",
    "%time res_jaxopt = solver.run(params_guess, t=t[0], y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d10a89f2-2841-47ae-8300-66aa5dfa263e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2 0.5 1.2 | 0.0006755637\n",
      "0.1907 0.5127 1.2008  | 0.0006840287\n"
     ]
    },
    {
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   ],
   "source": [
    "params_jaxopt, _ = res_jaxopt\n",
    "\n",
    "print(y0, r, K, '|', logistic_odeint_loss([y0, r, K], t[0], y))\n",
    "print((\"{:.4f} \"*3).format(*params_jaxopt), '|', logistic_odeint_loss(params_jaxopt, t[0], y))\n",
    "\n",
    "plt.plot(t, y, '.k')\n",
    "plt.plot(t[0], logistic_odeint(t[0], *params_jaxopt), '-r');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69353b0f-db8a-4c34-b59e-8a17c752b612",
   "metadata": {},
   "source": [
    "## Optax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "8570f288-4606-47e3-b3fd-39e1e3aaf405",
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = optax.adam(learning_rate=0.01)\n",
    "opt_state = optimizer.init(params_guess)\n",
    "loss_grad = jax.value_and_grad(logistic_odeint_loss)\n",
    "\n",
    "@jax.jit\n",
    "def step(params, opt_state):\n",
    "    loss_value, grads = loss_grad(params, t[0], y)\n",
    "    updates, opt_state = optimizer.update(grads, opt_state, params)\n",
    "    params = optax.apply_updates(params, updates)\n",
    "    return params, opt_state, loss_value\n",
    "\n",
    "step(params_guess, opt_state);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "4df81843-0802-48eb-8fc7-618263b44592",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 83.1 ms, sys: 919 µs, total: 84 ms\n",
      "Wall time: 82.9 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "params_optax = params_guess\n",
    "loss_prev = jnp.inf\n",
    "i = 0\n",
    "while True:\n",
    "    i += 1\n",
    "    params_optax, opt_state, loss_value = step(params_optax, opt_state)\n",
    "    if i % 100 == 0:\n",
    "        #print(f'step {i}, loss: {loss_value}, params: {params_optax}', flush=True)\n",
    "        if abs(loss_value - loss_prev) < 1e-6:\n",
    "            break\n",
    "        else:\n",
    "            loss_prev = loss_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "b262f8ae-de97-45e8-8471-04f6408ffacd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2 0.5 1.2 | 0.0006755637\n",
      "0.1999 0.4979 1.2032  | 0.000669559\n"
     ]
    },
    {
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    "print(y0, r, K, '|', logistic_odeint_loss([y0, r, K], t[0], y))\n",
    "print((\"{:.4f} \"*3).format(*params), '|', logistic_odeint_loss(params_optax, t[0], y))\n",
    "\n",
    "plt.plot(t, y, '.k')\n",
    "plt.plot(t[0], logistic_odeint(t[0], *params_optax), '-r');"
   ]
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   "source": []
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