{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# How meaningful are Gaussian ODE filter uncertainties?\n",
"\n",
"We investigate whether the uncertaintes returned by Gaussian ODE Filters are meaningful as actual error estimates---or even better?\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Make inline plots vector graphics instead of raster graphics\n",
"%matplotlib inline\n",
"from IPython.display import set_matplotlib_formats\n",
"set_matplotlib_formats('pdf', 'svg')\n",
"\n",
"# Plotting\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('../probnum.mplstyle')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import probnum.diffeq as diffeq\n",
"from probnum.diffeq import IVP\n",
"from probnum.diffeq import lotkavolterra\n",
"from probnum import random_variables as rvs\n",
"from probnum.diffeq import logistic, probsolve_ivp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start with the Lotka-Volterra equations"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"initdist = rvs.Dirac(np.array([20.0, 20.0]))\n",
"\n",
"lv = lotkavolterra([0.0, 50.0], initdist)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Kalman ODE filter is quite fast and flexible, but does not yield accurate uncertainty estimates. We see below that the uncertainty increases monotonously, independent on the actual peaks and valleys of the ODE solution.\n",
"\n",
"It is not surprising that the Kalman solution is agnostic of the trajectory. In fact, the covariance of the Kalman filter is independent of the data and as such, we cannot expect it to return useful uncertainty."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"sol = probsolve_ivp(lv, method=\"ekf0\", which_prior=\"ibm1\", step=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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"