{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Table of Contents](./table_of_contents.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ensemble Kalman Filters"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from __future__ import division, print_function\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#format the book\n",
"import book_format\n",
"book_format.set_style()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> I am not well versed with Ensemble filters. I have implemented one for this book, and made it work, but I have not used one in real life. Different sources use slightly different forms of these equations. If I implement the equations given in the sources the filter does not work. It is possible that I am doing something wrong. However, in various places on the web I have seen comments by people stating that they do the kinds of things I have done in my filter to make it work. In short, I do not understand this topic well, but choose to present my lack of knowledge rather than to gloss over the subject. I hope to master this topic in the future and to author a more definitive chapter. At the end of the chapter I document my current confusion and questions. In any case if I got confused by the sources perhaps you also will, so documenting my confusion can help you avoid the same.\n",
"\n",
"\n",
"The ensemble Kalman filter (EnKF) is very similar to the unscented Kalman filter (UKF) of the last chapter. If you recall, the UKF uses a set of deterministically chosen weighted sigma points passed through nonlinear state and measurement functions. After the sigma points are passed through the function, we find the mean and covariance of the points and use this as the filter's new mean and covariance. It is only an approximation of the true value, and thus suboptimal, but in practice the filter is highly accurate. It has the advantage of often producing more accurate estimates than the EKF does, and also does not require you to analytically derive the linearization of the state and measurement equations. \n",
"\n",
"The ensemble Kalman filter works in a similar way, except it uses a *Monte Carlo* method to choose a large numbers of sigma points. It came about from the geophysical sciences as an answer for the very large states and systems needed to model things such as the ocean and atmosphere. There is an interesting article on it's development in weather modeling in *SIAM News* [1]. The filter starts by randomly generating a large number of points distributed about the filter's initial state. This distribution is proportional to the filter's covariance $\\mathbf{P}$. In other words 68% of the points will be within one standard deviation of the mean, 95% percent within two standard deviations, and so on. Let's look at this in two dimensions. We will use `numpy.random.multivariate_normal()` function to randomly create points from a multivariate normal distribution drawn from the mean (5, 3) with the covariance\n",
"\n",
"$$\\begin{bmatrix}\n",
"32 & 15 \\\\ 15 & 40\n",
"\\end{bmatrix}$$\n",
"\n",
"I've drawn the covariance ellipse representing two standard deviations to illustrate how the points are distributed."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"