diff --git a/src/jimgw/single_event/likelihood.py b/src/jimgw/single_event/likelihood.py
index 00e6ce6b..62ffe71e 100644
--- a/src/jimgw/single_event/likelihood.py
+++ b/src/jimgw/single_event/likelihood.py
@@ -563,9 +563,9 @@ def maximize_likelihood(
         def y(x):
             named_params = dict(zip(parameter_names, x))
             for transform in reversed(sample_transforms):
-                named_params = transform.backward(named_params)
+                named_params = jax.vmap(transform.backward)(named_params)
             for transform in likelihood_transforms:
-                named_params = transform.forward(named_params)
+                named_params = jax.vmap(transform.forward)(named_params)
             return -self.evaluate_original(named_params, {})
 
         print("Starting the optimizer")
@@ -575,18 +575,35 @@ def y(x):
         )
 
         key = jax.random.PRNGKey(0)
-        initial_position = []
-        for _ in range(popsize):
-            flag = True
-            while flag:
-                key = jax.random.split(key)[1]
-                guess = prior.sample(key, 1)
-                for transform in sample_transforms:
-                    guess = transform.forward(guess)
-                guess = jnp.array([i for i in guess.values()]).T[0]
-                flag = not jnp.all(jnp.isfinite(guess))
-            initial_position.append(guess)
-        initial_position = jnp.array(initial_position)
+        initial_position = jnp.zeros((popsize, prior.n_dim)) + jnp.nan
+
+        while not jax.tree.reduce(
+            jnp.logical_and, jax.tree.map(lambda x: jnp.isfinite(x), initial_position)
+        ).all():
+            non_finite_index = jnp.where(
+                jnp.any(
+                    ~jax.tree.reduce(
+                        jnp.logical_and,
+                        jax.tree.map(lambda x: jnp.isfinite(x), initial_position),
+                    ),
+                    axis=1,
+                )
+            )[0]
+
+            key, subkey = jax.random.split(key)
+            guess = prior.sample(subkey, popsize)
+            for transform in sample_transforms:
+                guess = jax.vmap(transform.forward)(guess)
+            guess = jnp.array(
+                jax.tree.leaves({key: guess[key] for key in parameter_names})
+            ).T
+            finite_guess = jnp.where(
+                jnp.all(jax.tree.map(lambda x: jnp.isfinite(x), guess), axis=1)
+            )[0]
+            common_length = min(len(finite_guess), len(non_finite_index))
+            initial_position = initial_position.at[
+                non_finite_index[:common_length]
+            ].set(guess[:common_length])
         rng_key, optimized_positions, summary = optimizer.optimize(
             jax.random.PRNGKey(12094), y, initial_position
         )
@@ -595,9 +612,9 @@ def y(x):
 
         named_params = dict(zip(parameter_names, best_fit))
         for transform in reversed(sample_transforms):
-            named_params = transform.backward(named_params)
+            named_params = jax.vmap(transform.backward)(named_params)
         for transform in likelihood_transforms:
-            named_params = transform.forward(named_params)
+            named_params = jax.vmap(transform.forward)(named_params)
         return named_params