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--- a/src/openpi/training/config.py
+++ b/src/openpi/training/config.py
@@ -968,6 +968,193 @@
     # RoboArena & PolaRiS configs.
     *roboarena_config.get_roboarena_configs(),
     *polaris_config.get_polaris_configs(),
+    #
+    # Finetunes used in "Which VLAs Learn a Grasp That Transfers to New Object Positions?".
+    #
+    # pi0.5 LoRA on LIBERO's own 50 LIBERO-Object demos x 10 tasks (the whole "pick up the X and place
+    # it in the basket" task, native 128x128 frames, converted with
+    # training/convert_libero_original_to_lerobot.py): pi05_base init, LoRA on both experts, batch 24,
+    # peak lr 5e-5 cosine to 1e-6 over 12,000 steps, every 1,000th checkpoint kept.
+    #
+    TrainConfig(
+        name="pi05_libero_object_orig",
+        model=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ),
+        data=LeRobotLiberoDataConfig(
+            repo_id="libero/object_original",
+            base_config=DataConfig(prompt_from_task=True),
+            extra_delta_transform=False,
+        ),
+        weight_loader=weight_loaders.CheckpointWeightLoader("gs://openpi-assets/checkpoints/pi05_base/params"),
+        freeze_filter=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ).get_freeze_filter(),
+        ema_decay=None,
+        batch_size=24,
+        lr_schedule=_optimizer.CosineDecaySchedule(
+            warmup_steps=200, peak_lr=5e-5, decay_steps=12_000, decay_lr=1e-6
+        ),
+        optimizer=_optimizer.AdamW(clip_gradient_norm=1.0),
+        num_train_steps=12_000,
+        save_interval=1000,
+        keep_period=1000,
+        num_workers=16,
+        wandb_enabled=False,
+    ),
+    #
+    # Data ladder on the same demonstrations. Each rung trains on a stratified subset (every task
+    # keeps its share; at 2 % that is one demo per task) for the SAME 2,000 steps at batch 24, so only
+    # the pool the 48,000 training frames are drawn from shrinks.
+    #
+    # 50 % of the demos: 250 episodes.
+    TrainConfig(
+        name="pi05_libero_object_p50",
+        model=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ),
+        data=LeRobotLiberoDataConfig(
+            repo_id="libero/object_orig_p50",
+            base_config=DataConfig(prompt_from_task=True),
+            extra_delta_transform=False,
+        ),
+        weight_loader=weight_loaders.CheckpointWeightLoader("gs://openpi-assets/checkpoints/pi05_base/params"),
+        freeze_filter=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ).get_freeze_filter(),
+        ema_decay=None,
+        batch_size=24,
+        lr_schedule=_optimizer.CosineDecaySchedule(
+            warmup_steps=200, peak_lr=5e-5, decay_steps=2_000, decay_lr=1e-6
+        ),
+        optimizer=_optimizer.AdamW(clip_gradient_norm=1.0),
+        num_train_steps=2_000,
+        save_interval=500,
+        keep_period=500,
+        num_workers=16,
+        wandb_enabled=False,
+    ),
+    # 25 % of the demos: 125 episodes.
+    TrainConfig(
+        name="pi05_libero_object_p25",
+        model=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ),
+        data=LeRobotLiberoDataConfig(
+            repo_id="libero/object_orig_p25",
+            base_config=DataConfig(prompt_from_task=True),
+            extra_delta_transform=False,
+        ),
+        weight_loader=weight_loaders.CheckpointWeightLoader("gs://openpi-assets/checkpoints/pi05_base/params"),
+        freeze_filter=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ).get_freeze_filter(),
+        ema_decay=None,
+        batch_size=24,
+        lr_schedule=_optimizer.CosineDecaySchedule(
+            warmup_steps=200, peak_lr=5e-5, decay_steps=2_000, decay_lr=1e-6
+        ),
+        optimizer=_optimizer.AdamW(clip_gradient_norm=1.0),
+        num_train_steps=2_000,
+        save_interval=500,
+        keep_period=500,
+        num_workers=16,
+        wandb_enabled=False,
+    ),
+    # 10 % of the demos: 50 episodes.
+    TrainConfig(
+        name="pi05_libero_object_p10",
+        model=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ),
+        data=LeRobotLiberoDataConfig(
+            repo_id="libero/object_orig_p10",
+            base_config=DataConfig(prompt_from_task=True),
+            extra_delta_transform=False,
+        ),
+        weight_loader=weight_loaders.CheckpointWeightLoader("gs://openpi-assets/checkpoints/pi05_base/params"),
+        freeze_filter=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ).get_freeze_filter(),
+        ema_decay=None,
+        batch_size=24,
+        lr_schedule=_optimizer.CosineDecaySchedule(
+            warmup_steps=200, peak_lr=5e-5, decay_steps=2_000, decay_lr=1e-6
+        ),
+        optimizer=_optimizer.AdamW(clip_gradient_norm=1.0),
+        num_train_steps=2_000,
+        save_interval=500,
+        keep_period=500,
+        num_workers=16,
+        wandb_enabled=False,
+    ),
+    # 2 % of the demos: 10 episodes (one per task).
+    TrainConfig(
+        name="pi05_libero_object_p02",
+        model=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ),
+        data=LeRobotLiberoDataConfig(
+            repo_id="libero/object_orig_p02",
+            base_config=DataConfig(prompt_from_task=True),
+            extra_delta_transform=False,
+        ),
+        weight_loader=weight_loaders.CheckpointWeightLoader("gs://openpi-assets/checkpoints/pi05_base/params"),
+        freeze_filter=pi0_config.Pi0Config(
+            pi05=True,
+            action_horizon=10,
+            discrete_state_input=False,
+            paligemma_variant="gemma_2b_lora",
+            action_expert_variant="gemma_300m_lora",
+        ).get_freeze_filter(),
+        ema_decay=None,
+        batch_size=24,
+        lr_schedule=_optimizer.CosineDecaySchedule(
+            warmup_steps=200, peak_lr=5e-5, decay_steps=2_000, decay_lr=1e-6
+        ),
+        optimizer=_optimizer.AdamW(clip_gradient_norm=1.0),
+        num_train_steps=2_000,
+        save_interval=500,
+        keep_period=500,
+        num_workers=16,
+        wandb_enabled=False,
+    ),
 ]
 
 if len({config.name for config in _CONFIGS}) != len(_CONFIGS):
--- a/scripts/train.py
+++ b/scripts/train.py
@@ -159,6 +159,17 @@
 
     params = state.params.filter(config.trainable_filter)
     updates, new_opt_state = state.tx.update(grads, state.opt_state, params)
+
+    # Drop the update if anything in it is non-finite. A freshly compiled train_step can
+    # occasionally overflow -- one of 320 loss entries goes inf, and re-running the identical
+    # computation in another process is finite -- and a single nan update poisons the weights and
+    # then gets written over the good checkpoints by the next save. Skipping leaves params and the
+    # optimizer moments exactly as they were; `skipped` in the log line says how often it happens.
+    grad_norm = optax.global_norm(grads)
+    is_finite = jnp.isfinite(grad_norm) & jnp.isfinite(loss)
+    updates = jax.tree.map(lambda u: jnp.where(is_finite, u, jnp.zeros_like(u)), updates)
+    new_opt_state = jax.tree.map(lambda new, old: jnp.where(is_finite, new, old), new_opt_state, state.opt_state)
+
     new_params = optax.apply_updates(params, updates)
 
     # Update the model in place and return the new full state.
@@ -184,9 +195,11 @@
         ),
     )
     info = {
-        "loss": loss,
-        "grad_norm": optax.global_norm(grads),
+        # Masked so that one skipped step cannot turn a whole log window's mean into inf/nan.
+        "loss": jnp.where(is_finite, loss, 0.0),
+        "grad_norm": jnp.where(is_finite, grad_norm, 0.0),
         "param_norm": optax.global_norm(kernel_params),
+        "skipped": (~is_finite).astype(jnp.float32),
     }
     return new_state, info
 
@@ -265,6 +278,9 @@
             reduced_info = jax.device_get(jax.tree.map(jnp.mean, stacked_infos))
             info_str = ", ".join(f"{k}={v:.4f}" for k, v in reduced_info.items())
             pbar.write(f"Step {step}: {info_str}")
+            # tqdm_loggable swallows pbar.write, so with wandb off the run would produce no loss
+            # curve at all; log it through the normal logger too.
+            logging.info(f"Step {step}: {info_str}")
             wandb.log(reduced_info, step=step)
             infos = []
         batch = next(data_iter)