{
"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": [
"%matplotlib inline\n",
"from __future__ import division, print_function"
]
},
{
"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": {
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\n",
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