Commit d3e12d97 authored by Sean Fitzgibbon's avatar Sean Fitzgibbon
Browse files

Removed hard coded path to non-existent directory

parent f275165a
......@@ -16,7 +16,7 @@
},
{
"cell_type": "code",
"execution_count": 2,
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
......@@ -45,7 +45,7 @@
},
{
"cell_type": "code",
"execution_count": 3,
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
......@@ -86,20 +86,9 @@
},
{
"cell_type": "code",
"execution_count": 5,
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"outputs": [],
"source": [
"\n",
"# invert model\n",
......@@ -119,7 +108,7 @@
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.title('RBF fitting')\n",
"plt.savefig('/Users/saad/Desktop/RBF.pdf')\n",
"plt.savefig('./RBF.pdf')\n",
"\n"
]
},
......@@ -154,7 +143,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
"version": "3.7.6"
}
},
"nbformat": 4,
......
%% Cell type:markdown id: tags:
## Matlab v Python : introduction
This is a very small piece of code that fits RBFs to some data
In this section
- numpy
- matlab-like functions like np.linspace
%% Cell type:code id: tags:
``` python
import numpy as np
# Generate noisy sine wave
x = np.linspace(0,10,100)
y = np.sin(3*x) + np.random.randn(x.size)*.5
```
%% Cell type:markdown id: tags:
We define our Radial basis functions as $\textrm{RBF}(x) = \exp\left[-\frac{(x-c)^2}{\sigma^2}\right]$ where $c$ is the centre and $\sigma$ the extent. By having multiple such functions with different centres we can fit an arbitrary function.
In this section
- defining a function (two options)
- list comprehension
- power with double *
- numpy array from list
- transpose
%% Cell type:code id: tags:
``` python
# Define RBF atom
# two options:
# inline function definition (not available in matlab)
# lambda : like @ in matlab
sig = 2 # extent of an atom
# option 1
# def rbf(x,c):
# return np.exp(-(x-c)**2/sig**2)
# option 2
rbf = lambda x,c : np.exp(-(x-c)**2/sig**2)
# create a design matrix
# (using list comprehension to show off)
ci = np.linspace(0,10,20) # centres of the atoms
desmat = [rbf(x,c) for c in ci] # desmat contains a list of atoms
# from list to numpy array
desmat = np.asarray(desmat).T
```
%% Cell type:markdown id: tags:
Now we can fit to the sine wave with pseudoinverse.
In this section:
- pinv
- basic plotting and prettifying
- saving figure to file
%% Cell type:code id: tags:
``` python
# invert model
beta = np.linalg.pinv(desmat)@y.T
import matplotlib.pyplot as plt
# plot data, RBFs, and fitted model
plt.figure()
plt.plot(x,y,'.')
plt.plot(x,desmat,'k',alpha=.2)
plt.plot(x,desmat@beta)
# make it pretty
plt.grid()
plt.xlabel('x')
plt.ylabel('y')
plt.title('RBF fitting')
plt.savefig('/Users/saad/Desktop/RBF.pdf')
plt.savefig('./RBF.pdf')
```
%%%% Output: display_data
%% Cell type:markdown id: tags:
## The end.
%% Cell type:code id: tags:
``` python
```
......
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