SSMBook/_build/html/_sources/chapters/scratch.md

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(ch:intro)=

Scratchpad

In this chapter, we do blah. Specifically

• foo
• bar.
• baz

For more details, see {ref}ch:hmm and {cite}Sarkka13.

Python

We\'re now ready to start coding.

from matplotlib import rcParams, cycler
import matplotlib.pyplot as plt
import numpy as np
plt.ion()

# Fixing random state for reproducibility
np.random.seed(19680801)

N = 10
data = [np.logspace(0, 1, 100) + np.random.randn(100) + ii for ii in range(N)]
data = np.array(data).T
cmap = plt.cm.coolwarm
rcParams['axes.prop_cycle'] = cycler(color=cmap(np.linspace(0, 1, N)))


from matplotlib.lines import Line2D
custom_lines = [Line2D([0], [0], color=cmap(0.), lw=4),
                Line2D([0], [0], color=cmap(.5), lw=4),
                Line2D([0], [0], color=cmap(1.), lw=4)]

fig, ax = plt.subplots(figsize=(10, 5))
lines = ax.plot(data)
ax.legend(custom_lines, ['Cold', 'Medium', 'Hot']);

import matplotlib.pyplot as plt
import numpy as np
import jax
import jax.numpy as jnp

print(jax.devices())

Images

```{figure} /figures/cat_dog.jpg :scale: 50% :name: cat_dog

A photo of a cat and a dog.

```{figure} /figures/cat_dog.jpg
:height: 300px
:name: cat_dog2

Another photo of a cat and a dog.

In {numref}cat_dog we show catdog. In {numref}Figure %s <cat_dog2> we show catdog2, its twin.

I am a useful note!

Math

Here is $\N=10$ and blah. $\floor{42.3}= 42$. Let's try again.

We have $E= mc^2$, and also

:label: foo
a x^2 + bx+ c = 0

From {eq}foo, it follows that

$$ \begin{align} 0 &= a x^2 + bx+ c \ 0 &= a x^2 + bx+ c \end{align} $$