Small updates to the change of variable example

examples/change_of_variable_hmc.md

@@ -6,7 +6,7 @@ jupytext:
     format_version: 0.13
     jupytext_version: 1.14.1
 kernelspec:
-  display_name: Python 3.9.7 ('blackjax')
+  display_name: Python 3 (ipykernel)
   language: python
   name: python3
 mystnb:
@@ -28,7 +28,6 @@ In particular we use following binomial hierarchical model where $y_{j}$ and $N_
 \end{align}
 ```
 
-
 ```{code-cell} ipython3
 :tags: [hide-cell]
 
@@ -37,7 +36,6 @@ import jax
 import jax.numpy as jnp
 import matplotlib.pyplot as plt
 import pandas as pd
-import seaborn as sns
 
 pd.set_option("display.max_rows", 80)
 
@@ -217,21 +215,29 @@ n_rat_tumors = len(group_size)
 ```{code-cell} ipython3
 :tags: [hide-input]
 
-plt.figure(figsize=(12, 3))
-plt.bar(range(n_rat_tumors), n_of_positives)
+fig = plt.figure(figsize=(12, 3))
+ax = fig.add_subplot(111)
+ax.bar(range(n_rat_tumors), n_of_positives)
+
+ax.set_xlabel("tumor type", fontsize=12)
+ax.spines["top"].set_visible(False)
+ax.spines["right"].set_visible(False)
+
 plt.title("No. of positives for each tumor type", fontsize=14)
-plt.xlabel("tumor type", fontsize=12)
-sns.despine()
 ```
 
 ```{code-cell} ipython3
 :tags: [hide-input]
 
-plt.figure(figsize=(14, 4))
-plt.bar(range(n_rat_tumors), group_size)
+fig = plt.figure(figsize=(14, 4))
+ax = fig.add_subplot(111)
+
+ax.bar(range(n_rat_tumors), group_size)
 plt.title("Group size for each tumor type", fontsize=14)
-plt.xlabel("tumor type", fontsize=12)
-sns.despine()
+
+ax.set_xlabel("tumor type", fontsize=12)
+ax.spines["top"].set_visible(False)
+ax.spines["right"].set_visible(False)
 ```
 
 ## Posterior Sampling
@@ -298,7 +304,7 @@ def call_warmup(seed, param):
     initial_states, _, tuned_params = warmup.run(seed, param, 1000)
     return initial_states, tuned_params
 
-initial_states, tuned_params = call_warmup(keys, init_params)
+initial_states, tuned_params = jax.jit(call_warmup)(keys, init_params)
 ```
 
 Now we write inference loop for multiple chains
@@ -312,7 +318,6 @@ def inference_loop_multiple_chains(
     def kernel(key, state, **params):
         return step_fn(key, state, log_prob_fn, **params)
 
-    @jax.jit
     def one_step(states, rng_key):
         keys = jax.random.split(rng_key, num_chains)
         states, infos = jax.vmap(kernel)(keys, states, **tuned_params)
@@ -428,7 +433,7 @@ def joint_logprob_change_of_var(params):
     return logprob_ab + logprob_thetas + logprob_y + log_det_jacob
 ```
 
-except change of variable in `joint_logprob()` function, everthing will remain same
+except for the change of variable in `joint_logprob()` function, everthing will remain same
 
 ```{code-cell} ipython3
 rng_key = jax.random.PRNGKey(0)
@@ -555,6 +560,7 @@ init_key, warmup_key = jax.random.split(rng_key, 2)
 init_params = bijectors.inverse(pinned.sample_unpinned(n_chains, seed=init_key))
 
 keys = jax.random.split(warmup_key, n_chains)
+
 @jax.vmap
 def call_warmup(seed, param):
     initial_states, _, tuned_params = warmup.run(seed, param, 1000)