Add inference for training time rtc

docs/source/_toctree.yml

@@ -57,6 +57,8 @@
     title: Use Async Inference
   - local: rtc
     title: Real-Time Chunking (RTC)
+  - local: training_time_rtc
+    title: Training-Time RTC
   title: "Inference"
 - sections:
   - local: envhub

docs/source/training_time_rtc.mdx

@@ -0,0 +1,86 @@
+# Training-Time RTC
+
+Training-Time RTC teaches the model to handle inference delay during training.
+It feeds the **ground-truth action prefix** to the model and trains only on the remaining postfix actions.
+This keeps chunk transitions smooth without doing any inference-time inpainting.
+
+Based on: [Training-Time Action Conditioning for Efficient Real-Time Chunking](https://arxiv.org/abs/2512.05964).
+
+LeRobot supports this for `pi0`, `pi05` and `smolvla` without changing model parameters.
+
+---
+
+## How It Works
+
+### At Training Time
+
+- Sample a delay `d` per batch element.
+- Keep the first `d` action steps as **ground truth** (no noise).
+- Add noise only to the postfix actions.
+- Set the flow-matching timestep to **1.0** for prefix tokens and normal timesteps for postfix tokens.
+- Mask the loss to only train on the postfix.
+
+### At Inference Time
+
+When `rtc_training_config.enabled=true`, the model uses training-time RTC inference:
+
+- Replace prefix positions in `x_t` with previous chunk's leftover actions.
+- Set timestep to **1.0** for prefix positions.
+
+---
+
+## Quick Start (CLI)
+
+```bash
+lerobot-train \
+  --policy.type=pi0 \
+  --dataset.repo_id=your/dataset \
+  --policy.rtc_training_config.enabled=true \
+  --policy.rtc_training_config.min_delay=0 \
+  --policy.rtc_training_config.max_delay=6 \
+  --policy.rtc_training_config.delay_distribution=UNIFORM
+```
+
+---
+
+## Inference with Training-Time RTC
+
+After training with `rtc_training_config`, use the same config at inference. The model will automatically use training-time RTC inference:
+
+```python
+policy = PI0Policy.from_pretrained("path/to/trained/model")
+# rtc_training_config is loaded from the saved config
+
+actions = policy.predict_action_chunk(
+    batch,
+    inference_delay=5,  # estimated delay in timesteps
+    prev_chunk_left_over=previous_actions,  # from previous chunk
+)
+```
+
+---
+
+## Key Parameters
+
+`RTCTrainingConfig` is available on the policy config (`pi0`, `pi05`, `smolvla`, `xvla`):
+
+- **`enabled`**: Toggle training-time RTC (both training and inference).
+- **`min_delay` / `max_delay`**: Delay range (inclusive).
+- **`delay_distribution`**:
+  - `UNIFORM`: uniform in `[min_delay, max_delay]`
+  - `EXP`: exponentially decayed distribution over delays
+- **`exp_decay`**: Exponential decay factor for `EXP` sampling.
+
+---
+
+## Notes and Recommendations
+
+- Start with `min_delay=0` and `max_delay` around your expected worst-case inference delay.
+- Use `EXP` if you want more supervision on smaller delays.
+
+---
+
+## Related Docs
+
+- [Real-Time Chunking (Inference-Time RTC)](./rtc)
+- [Pi0](./pi0), [Pi0.5](./pi05), [SmolVLA](./smolvla)

src/lerobot/configs/types.py

@@ -50,3 +50,8 @@ class RTCAttentionSchedule(str, Enum):
     ONES = "ONES"
     LINEAR = "LINEAR"
     EXP = "EXP"
+
+
+class RTCTrainingDelayDistribution(str, Enum):
+    UNIFORM = "UNIFORM"
+    EXP = "EXP"

src/lerobot/policies/pi0/configuration_pi0.py

@@ -20,7 +20,7 @@ from lerobot.configs.policies import PreTrainedConfig
 from lerobot.configs.types import FeatureType, NormalizationMode, PolicyFeature
 from lerobot.optim.optimizers import AdamWConfig
 from lerobot.optim.schedulers import CosineDecayWithWarmupSchedulerConfig
-from lerobot.policies.rtc.configuration_rtc import RTCConfig
+from lerobot.policies.rtc.configuration_rtc import RTCConfig, RTCTrainingConfig
 from lerobot.utils.constants import ACTION, OBS_IMAGES, OBS_STATE
 
 DEFAULT_IMAGE_SIZE = 224
@@ -50,8 +50,9 @@ class PI0Config(PreTrainedConfig):
     min_period: float = 4e-3
     max_period: float = 4.0
 
-    # Real-Time Chunking (RTC) configuration
+    # Real-Time Chunking (RTC) configurations
     rtc_config: RTCConfig | None = None
+    rtc_training_config: RTCTrainingConfig | None = None
 
     image_resolution: tuple[int, int] = (
         DEFAULT_IMAGE_SIZE,

src/lerobot/policies/pi0/modeling_pi0.py

@@ -44,6 +44,12 @@ from lerobot.configs.policies import PreTrainedConfig
 from lerobot.policies.pi0.configuration_pi0 import DEFAULT_IMAGE_SIZE, PI0Config
 from lerobot.policies.pretrained import PreTrainedPolicy, T
 from lerobot.policies.rtc.modeling_rtc import RTCProcessor
+from lerobot.policies.rtc.training_time import (
+    apply_rtc_training_time,
+    apply_training_time_rtc_inference,
+    masked_mean,
+    sample_rtc_delay,
+)
 from lerobot.utils.constants import (
     ACTION,
     OBS_LANGUAGE_ATTENTION_MASK,
@@ -79,8 +85,8 @@ def create_sinusoidal_pos_embedding(  # see openpi `create_sinusoidal_pos_embedd
     if dimension % 2 != 0:
         raise ValueError(f"dimension ({dimension}) must be divisible by 2")
 
-    if time.ndim != 1:
+    if time.ndim not in (1, 2):
-        raise ValueError("The time tensor is expected to be of shape `(batch_size, )`.")
+        raise ValueError("The time tensor is expected to be of shape `(batch_size,)` or `(batch_size, T)`.")
 
     dtype = get_safe_dtype(torch.float64, device.type)
     fraction = torch.linspace(0.0, 1.0, dimension // 2, dtype=dtype, device=device)
@@ -88,8 +94,14 @@ def create_sinusoidal_pos_embedding(  # see openpi `create_sinusoidal_pos_embedd
 
     # Compute the outer product
     scaling_factor = 1.0 / period * 2 * math.pi
-    sin_input = scaling_factor[None, :] * time[:, None]
+    if time.ndim == 1:
-    return torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+        sin_input = scaling_factor[None, :] * time[:, None]
+        return torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+
+    time_flat = time.reshape(-1)
+    sin_input = scaling_factor[None, :] * time_flat[:, None]
+    pos_emb = torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+    return pos_emb.reshape(*time.shape, dimension)
 
 
 def sample_beta(alpha, beta, bsize, device):  # see openpi `sample_beta` (exact copy)
@@ -605,6 +617,9 @@ class PI0Pytorch(nn.Module):  # see openpi `PI0Pytorch`
     def _rtc_enabled(self):
         return self.config.rtc_config is not None and self.config.rtc_config.enabled
 
+    def _training_time_rtc_inference_enabled(self):
+        return self.config.rtc_training_config is not None and self.config.rtc_training_config.enabled
+
     def _apply_checkpoint(self, func, *args, **kwargs):
         """Helper method to apply gradient checkpointing if enabled."""
         if self.gradient_checkpointing_enabled and self.training:
@@ -714,7 +729,10 @@ class PI0Pytorch(nn.Module):  # see openpi `PI0Pytorch`
 
         action_emb = self._apply_checkpoint(action_proj_func, noisy_actions)
 
-        time_emb = time_emb[:, None, :].expand_as(action_emb)
+        if time_emb.dim() == 2:
+            time_emb = time_emb[:, None, :].expand_as(action_emb)
+        elif time_emb.shape[:2] != action_emb.shape[:2]:
+            raise ValueError(f"Expected time_emb shape {action_emb.shape[:2]}, got {time_emb.shape[:2]}")
         action_time_emb = torch.cat([action_emb, time_emb], dim=2)
 
         def mlp_func(action_time_emb):
@@ -750,7 +768,12 @@ class PI0Pytorch(nn.Module):  # see openpi `PI0Pytorch`
         if time is None:
             time = self.sample_time(actions.shape[0], actions.device)
 
-        time_expanded = time[:, None, None]
+        if time.ndim == 1:
+            time_expanded = time[:, None, None]
+        elif time.ndim == 2:
+            time_expanded = time[:, :, None]
+        else:
+            raise ValueError(f"Expected time shape (B,) or (B, T), got {time.shape}")
         x_t = time_expanded * noise + (1 - time_expanded) * actions
         u_t = noise - actions
 
@@ -846,24 +869,37 @@ class PI0Pytorch(nn.Module):  # see openpi `PI0Pytorch`
 
         dt = -1.0 / num_steps
 
+        inference_delay = kwargs.get("inference_delay")
+        prev_chunk_left_over = kwargs.get("prev_chunk_left_over")
+        execution_horizon = kwargs.get("execution_horizon")
+        use_training_time_rtc = self._training_time_rtc_inference_enabled()
+
         x_t = noise
         for step in range(num_steps):
             time = 1.0 + step * dt
-            time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
 
-            def denoise_step_partial_call(input_x_t, current_timestep=time_tensor):
+            if use_training_time_rtc:
-                return self.denoise_step(
+                x_t_cond, time_tensor = apply_training_time_rtc_inference(
+                    x_t, time, inference_delay, prev_chunk_left_over, self.config.chunk_size
+                )
+                v_t = self.denoise_step(
                     state=state,
                     prefix_pad_masks=prefix_pad_masks,
                     past_key_values=past_key_values,
-                    x_t=input_x_t,
+                    x_t=x_t_cond,
-                    timestep=current_timestep,
+                    timestep=time_tensor,
                 )
+            elif self._rtc_enabled():
+                time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
 
-            if self._rtc_enabled():
+                def denoise_step_partial_call(input_x_t, current_timestep=time_tensor):
-                inference_delay = kwargs.get("inference_delay")
+                    return self.denoise_step(
-                prev_chunk_left_over = kwargs.get("prev_chunk_left_over")
+                        state=state,
-                execution_horizon = kwargs.get("execution_horizon")
+                        prefix_pad_masks=prefix_pad_masks,
+                        past_key_values=past_key_values,
+                        x_t=input_x_t,
+                        timestep=current_timestep,
+                    )
 
                 v_t = self.rtc_processor.denoise_step(
                     x_t=x_t,
@@ -874,7 +910,14 @@ class PI0Pytorch(nn.Module):  # see openpi `PI0Pytorch`
                     execution_horizon=execution_horizon,
                 )
             else:
-                v_t = denoise_step_partial_call(x_t)
+                time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
+                v_t = self.denoise_step(
+                    state=state,
+                    prefix_pad_masks=prefix_pad_masks,
+                    past_key_values=past_key_values,
+                    x_t=x_t,
+                    timestep=time_tensor,
+                )
 
             x_t = x_t + dt * v_t
 
@@ -1277,7 +1320,19 @@ class PI0Policy(PreTrainedPolicy):
         actions = self.prepare_action(batch)
 
         # Compute loss
-        losses = self.model.forward(images, img_masks, lang_tokens, lang_masks, state, actions)
+        postfix_mask = None
+        rtc_cfg = self.config.rtc_training_config
+        if rtc_cfg is not None and rtc_cfg.enabled and self.training:
+            batch_size = actions.shape[0]
+            time = self.model.sample_time(batch_size, actions.device)
+            noise = self.model.sample_noise(actions.shape, actions.device)
+            delay = sample_rtc_delay(rtc_cfg, batch_size, actions.device)
+            time, postfix_mask = apply_rtc_training_time(time, delay, actions.shape[1])
+            losses = self.model.forward(
+                images, img_masks, lang_tokens, lang_masks, state, actions, noise=noise, time=time
+            )
+        else:
+            losses = self.model.forward(images, img_masks, lang_tokens, lang_masks, state, actions)
 
         # Truncate losses to actual action dimensions
         original_action_dim = self.config.output_features[ACTION].shape[0]
@@ -1289,12 +1344,12 @@ class PI0Policy(PreTrainedPolicy):
 
         if reduction == "none":
             # Return per-sample losses (B,) by averaging over time and action dims
-            per_sample_loss = losses.mean(dim=(1, 2))
+            per_sample_loss = masked_mean(losses, postfix_mask, reduce_dims=(1, 2))
             loss_dict["loss"] = per_sample_loss.mean().item()
             return per_sample_loss, loss_dict
         else:
             # Default: return scalar mean loss
-            loss = losses.mean()
+            loss = masked_mean(losses, postfix_mask, reduce_dims=(0, 1, 2))
             loss_dict["loss"] = loss.item()
             return loss, loss_dict
 

src/lerobot/policies/pi05/configuration_pi05.py

@@ -20,7 +20,7 @@ from lerobot.configs.policies import PreTrainedConfig
 from lerobot.configs.types import FeatureType, NormalizationMode, PolicyFeature
 from lerobot.optim.optimizers import AdamWConfig
 from lerobot.optim.schedulers import CosineDecayWithWarmupSchedulerConfig
-from lerobot.policies.rtc.configuration_rtc import RTCConfig
+from lerobot.policies.rtc.configuration_rtc import RTCConfig, RTCTrainingConfig
 from lerobot.utils.constants import ACTION, OBS_IMAGES, OBS_STATE
 
 DEFAULT_IMAGE_SIZE = 224
@@ -52,6 +52,7 @@ class PI05Config(PreTrainedConfig):
 
     # Real-Time Chunking (RTC) configuration
     rtc_config: RTCConfig | None = None
+    rtc_training_config: RTCTrainingConfig | None = None
 
     image_resolution: tuple[int, int] = (
         DEFAULT_IMAGE_SIZE,

src/lerobot/policies/pi05/modeling_pi05.py

@@ -44,6 +44,12 @@ from lerobot.configs.policies import PreTrainedConfig
 from lerobot.policies.pi05.configuration_pi05 import DEFAULT_IMAGE_SIZE, PI05Config
 from lerobot.policies.pretrained import PreTrainedPolicy, T
 from lerobot.policies.rtc.modeling_rtc import RTCProcessor
+from lerobot.policies.rtc.training_time import (
+    apply_rtc_training_time,
+    apply_training_time_rtc_inference,
+    masked_mean,
+    sample_rtc_delay,
+)
 from lerobot.utils.constants import (
     ACTION,
     OBS_LANGUAGE_ATTENTION_MASK,
@@ -78,8 +84,8 @@ def create_sinusoidal_pos_embedding(  # see openpi `create_sinusoidal_pos_embedd
     if dimension % 2 != 0:
         raise ValueError(f"dimension ({dimension}) must be divisible by 2")
 
-    if time.ndim != 1:
+    if time.ndim not in (1, 2):
-        raise ValueError("The time tensor is expected to be of shape `(batch_size, )`.")
+        raise ValueError("The time tensor is expected to be of shape `(batch_size,)` or `(batch_size, T)`.")
 
     dtype = get_safe_dtype(torch.float64, device.type)
     fraction = torch.linspace(0.0, 1.0, dimension // 2, dtype=dtype, device=device)
@@ -87,8 +93,14 @@ def create_sinusoidal_pos_embedding(  # see openpi `create_sinusoidal_pos_embedd
 
     # Compute the outer product
     scaling_factor = 1.0 / period * 2 * math.pi
-    sin_input = scaling_factor[None, :] * time[:, None]
+    if time.ndim == 1:
-    return torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+        sin_input = scaling_factor[None, :] * time[:, None]
+        return torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+
+    time_flat = time.reshape(-1)
+    sin_input = scaling_factor[None, :] * time_flat[:, None]
+    pos_emb = torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+    return pos_emb.reshape(*time.shape, dimension)
 
 
 def sample_beta(alpha, beta, bsize, device):  # see openpi `sample_beta` (exact copy)
@@ -602,6 +614,9 @@ class PI05Pytorch(nn.Module):  # see openpi `PI0Pytorch`
     def _rtc_enabled(self):
         return self.config.rtc_config is not None and self.config.rtc_config.enabled
 
+    def _training_time_rtc_inference_enabled(self):
+        return self.config.rtc_training_config is not None and self.config.rtc_training_config.enabled
+
     def _apply_checkpoint(self, func, *args, **kwargs):
         """Helper method to apply gradient checkpointing if enabled."""
         if self.gradient_checkpointing_enabled and self.training:
@@ -729,7 +744,12 @@ class PI05Pytorch(nn.Module):  # see openpi `PI0Pytorch`
         if time is None:
             time = self.sample_time(actions.shape[0], actions.device)
 
-        time_expanded = time[:, None, None]
+        if time.ndim == 1:
+            time_expanded = time[:, None, None]
+        elif time.ndim == 2:
+            time_expanded = time[:, :, None]
+        else:
+            raise ValueError(f"Expected time shape (B,) or (B, T), got {time.shape}")
         x_t = time_expanded * noise + (1 - time_expanded) * actions
         u_t = noise - actions
 
@@ -820,23 +840,35 @@ class PI05Pytorch(nn.Module):  # see openpi `PI0Pytorch`
 
         dt = -1.0 / num_steps
 
+        inference_delay = kwargs.get("inference_delay")
+        prev_chunk_left_over = kwargs.get("prev_chunk_left_over")
+        execution_horizon = kwargs.get("execution_horizon")
+        use_training_time_rtc = self._training_time_rtc_inference_enabled()
+
         x_t = noise
         for step in range(num_steps):
             time = 1.0 + step * dt
-            time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
 
-            def denoise_step_partial_call(input_x_t, current_timestep=time_tensor):
+            if use_training_time_rtc:
-                return self.denoise_step(
+                x_t_cond, time_tensor = apply_training_time_rtc_inference(
+                    x_t, time, inference_delay, prev_chunk_left_over, self.config.chunk_size
+                )
+                v_t = self.denoise_step(
                     prefix_pad_masks=prefix_pad_masks,
                     past_key_values=past_key_values,
-                    x_t=input_x_t,
+                    x_t=x_t_cond,
-                    timestep=current_timestep,
+                    timestep=time_tensor,
                 )
+            elif self._rtc_enabled():
+                time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
 
-            if self._rtc_enabled():
+                def denoise_step_partial_call(input_x_t, current_timestep=time_tensor):
-                inference_delay = kwargs.get("inference_delay")
+                    return self.denoise_step(
-                prev_chunk_left_over = kwargs.get("prev_chunk_left_over")
+                        prefix_pad_masks=prefix_pad_masks,
-                execution_horizon = kwargs.get("execution_horizon")
+                        past_key_values=past_key_values,
+                        x_t=input_x_t,
+                        timestep=current_timestep,
+                    )
 
                 v_t = self.rtc_processor.denoise_step(
                     x_t=x_t,
@@ -847,7 +879,13 @@ class PI05Pytorch(nn.Module):  # see openpi `PI0Pytorch`
                     execution_horizon=execution_horizon,
                 )
             else:
-                v_t = denoise_step_partial_call(x_t)
+                time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
+                v_t = self.denoise_step(
+                    prefix_pad_masks=prefix_pad_masks,
+                    past_key_values=past_key_values,
+                    x_t=x_t,
+                    timestep=time_tensor,
+                )
 
             x_t = x_t + dt * v_t
 
@@ -1250,7 +1288,17 @@ class PI05Policy(PreTrainedPolicy):
         actions = self.prepare_action(batch)
 
         # Compute loss (no separate state needed for PI05)
-        losses = self.model.forward(images, img_masks, tokens, masks, actions)
+        postfix_mask = None
+        rtc_cfg = self.config.rtc_training_config
+        if rtc_cfg is not None and rtc_cfg.enabled and self.training:
+            batch_size = actions.shape[0]
+            time = self.model.sample_time(batch_size, actions.device)
+            noise = self.model.sample_noise(actions.shape, actions.device)
+            delay = sample_rtc_delay(rtc_cfg, batch_size, actions.device)
+            time, postfix_mask = apply_rtc_training_time(time, delay, actions.shape[1])
+            losses = self.model.forward(images, img_masks, tokens, masks, actions, noise=noise, time=time)
+        else:
+            losses = self.model.forward(images, img_masks, tokens, masks, actions)
 
         # Truncate losses to actual action dimensions
         original_action_dim = self.config.output_features[ACTION].shape[0]
@@ -1262,12 +1310,12 @@ class PI05Policy(PreTrainedPolicy):
 
         if reduction == "none":
             # Return per-sample losses (B,) by averaging over time and action dims
-            per_sample_loss = losses.mean(dim=(1, 2))
+            per_sample_loss = masked_mean(losses, postfix_mask, reduce_dims=(1, 2))
             loss_dict["loss"] = per_sample_loss.mean().item()
             return per_sample_loss, loss_dict
         else:
             # Default: return scalar mean loss
-            loss = losses.mean()
+            loss = masked_mean(losses, postfix_mask, reduce_dims=(0, 1, 2))
             loss_dict["loss"] = loss.item()
             return loss, loss_dict
 

src/lerobot/policies/rtc/configuration_rtc.py

@@ -23,7 +23,7 @@ Based on:
 
 from dataclasses import dataclass
 
-from lerobot.configs.types import RTCAttentionSchedule
+from lerobot.configs.types import RTCAttentionSchedule, RTCTrainingDelayDistribution
 
 
 @dataclass
@@ -53,3 +53,22 @@ class RTCConfig:
             raise ValueError(f"max_guidance_weight must be positive, got {self.max_guidance_weight}")
         if self.debug_maxlen <= 0:
             raise ValueError(f"debug_maxlen must be positive, got {self.debug_maxlen}")
+
+
+@dataclass
+class RTCTrainingConfig:
+    """Configuration for training-time RTC action prefix conditioning."""
+
+    enabled: bool = False
+    min_delay: int = 0
+    max_delay: int = 0
+    delay_distribution: RTCTrainingDelayDistribution = RTCTrainingDelayDistribution.UNIFORM
+    exp_decay: float = 1.0
+
+    def __post_init__(self):
+        if self.min_delay < 0:
+            raise ValueError(f"min_delay must be >= 0, got {self.min_delay}")
+        if self.max_delay < self.min_delay:
+            raise ValueError(f"max_delay ({self.max_delay}) must be >= min_delay ({self.min_delay})")
+        if self.exp_decay <= 0:
+            raise ValueError(f"exp_decay must be positive, got {self.exp_decay}")

src/lerobot/policies/rtc/training_time.py

@@ -0,0 +1,110 @@
+#!/usr/bin/env python
+
+# Copyright 2025 The HuggingFace Inc. team. All rights reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+from __future__ import annotations
+
+import torch
+
+from lerobot.configs.types import RTCTrainingDelayDistribution
+from lerobot.policies.rtc.configuration_rtc import RTCTrainingConfig
+
+
+def sample_rtc_delay(cfg: RTCTrainingConfig, batch_size: int, device: torch.device) -> torch.Tensor:
+    if cfg.max_delay == cfg.min_delay:
+        return torch.full((batch_size,), cfg.min_delay, device=device, dtype=torch.long)
+
+    if cfg.delay_distribution == RTCTrainingDelayDistribution.UNIFORM:
+        return torch.randint(cfg.min_delay, cfg.max_delay + 1, (batch_size,), device=device, dtype=torch.long)
+
+    delay_values = torch.arange(cfg.min_delay, cfg.max_delay + 1, device=device, dtype=torch.long)
+    weights = torch.exp(-cfg.exp_decay * delay_values.to(dtype=torch.float32))
+    probs = weights / weights.sum()
+    samples = torch.multinomial(probs, batch_size, replacement=True)
+    return delay_values[samples]
+
+
+def apply_rtc_training_time(
+    time: torch.Tensor, delay: torch.Tensor, seq_len: int
+) -> tuple[torch.Tensor, torch.Tensor]:
+    device = time.device
+    delay = torch.clamp(delay, max=seq_len)
+    prefix_mask = torch.arange(seq_len, device=device)[None, :] < delay[:, None]
+    time_tokens = time[:, None].expand(-1, seq_len)
+    time_tokens = time_tokens.masked_fill(prefix_mask, 0.0)
+    postfix_mask = ~prefix_mask
+    return time_tokens, postfix_mask
+
+
+def masked_mean(
+    losses: torch.Tensor, mask: torch.Tensor | None, reduce_dims: tuple[int, ...], eps: float = 1e-8
+) -> torch.Tensor:
+    if mask is None:
+        return losses.mean(dim=reduce_dims)
+
+    mask = mask.to(dtype=losses.dtype)
+    while mask.dim() < losses.dim():
+        mask = mask.unsqueeze(-1)
+    masked = losses * mask
+    denom = mask.sum(dim=reduce_dims).clamp_min(eps)
+    return masked.sum(dim=reduce_dims) / denom
+
+
+def apply_training_time_rtc_inference(
+    x_t: torch.Tensor,
+    time: float,
+    inference_delay: int | None,
+    prev_chunk_left_over: torch.Tensor | None,
+    chunk_size: int,
+) -> tuple[torch.Tensor, torch.Tensor]:
+    """Apply training-time RTC conditioning during inference.
+
+    Based on Algorithm 1 from "Training-Time Action Conditioning for Efficient Real-Time Chunking".
+
+    At each denoising step:
+    1. Replace prefix positions in x_t with ground truth from previous chunk
+    2. Create per-token timesteps with 1.0 for prefix positions
+
+    Args:
+        x_t: Current noisy actions (B, T, D)
+        time: Current flow matching timestep (scalar)
+        inference_delay: Number of prefix actions to condition on
+        prev_chunk_left_over: Previous chunk's leftover actions (B, T, D)
+        chunk_size: Total chunk size T
+
+    Returns:
+        x_t_conditioned: x_t with prefix replaced by previous actions
+        time_per_token: Per-token timesteps (B, T) with 1.0 for prefix
+    """
+    batch_size = x_t.shape[0]
+    device = x_t.device
+
+    if inference_delay is None or inference_delay <= 0 or prev_chunk_left_over is None:
+        time_scalar = torch.full((batch_size,), time, device=device, dtype=torch.float32)
+        return x_t, time_scalar
+
+    delay = min(inference_delay, chunk_size)
+    prefix_mask = torch.arange(chunk_size, device=device)[None, :] < delay
+
+    x_t_conditioned = torch.where(
+        prefix_mask[:, :, None].expand_as(x_t),
+        prev_chunk_left_over[:, :chunk_size, :],
+        x_t,
+    )
+
+    time_per_token = torch.full((batch_size, chunk_size), time, device=device, dtype=torch.float32)
+    time_per_token = time_per_token.masked_fill(prefix_mask, 1.0)
+
+    return x_t_conditioned, time_per_token

src/lerobot/policies/smolvla/configuration_smolvla.py

@@ -20,7 +20,7 @@ from lerobot.optim.optimizers import AdamWConfig
 from lerobot.optim.schedulers import (
     CosineDecayWithWarmupSchedulerConfig,
 )
-from lerobot.policies.rtc.configuration_rtc import RTCConfig
+from lerobot.policies.rtc.configuration_rtc import RTCConfig, RTCTrainingConfig
 from lerobot.utils.constants import OBS_IMAGES
 
 
@@ -103,8 +103,9 @@ class SmolVLAConfig(PreTrainedConfig):
     min_period: float = 4e-3  # sensitivity range for the timestep used in sine-cosine positional encoding
     max_period: float = 4.0
 
-    # Real-Time Chunking (RTC) configuration
+    # Real-Time Chunking (RTC) configurations
     rtc_config: RTCConfig | None = None
+    rtc_training_config: RTCTrainingConfig | None = None
 
     def __post_init__(self):
         super().__post_init__()

src/lerobot/policies/smolvla/modeling_smolvla.py

@@ -63,6 +63,12 @@ from typing_extensions import Unpack
 
 from lerobot.policies.pretrained import PreTrainedPolicy
 from lerobot.policies.rtc.modeling_rtc import RTCProcessor
+from lerobot.policies.rtc.training_time import (
+    apply_rtc_training_time,
+    apply_training_time_rtc_inference,
+    masked_mean,
+    sample_rtc_delay,
+)
 from lerobot.policies.smolvla.configuration_smolvla import SmolVLAConfig
 from lerobot.policies.smolvla.smolvlm_with_expert import SmolVLMWithExpertModel
 from lerobot.policies.utils import (
@@ -85,8 +91,8 @@ def create_sinusoidal_pos_embedding(
     if dimension % 2 != 0:
         raise ValueError(f"dimension ({dimension}) must be divisible by 2")
 
-    if time.ndim != 1:
+    if time.ndim not in (1, 2):
-        raise ValueError("The time tensor is expected to be of shape `(batch_size, )`.")
+        raise ValueError("The time tensor is expected to be of shape `(batch_size,)` or `(batch_size, T)`.")
 
     dtype = get_safe_dtype(torch.float64, device.type)
     fraction = torch.linspace(0.0, 1.0, dimension // 2, dtype=dtype, device=device)
@@ -94,9 +100,14 @@ def create_sinusoidal_pos_embedding(
 
     # Compute the outer product
     scaling_factor = 1.0 / period * 2 * math.pi
-    sin_input = scaling_factor[None, :] * time[:, None]
+    if time.ndim == 1:
+        sin_input = scaling_factor[None, :] * time[:, None]
+        return torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
+
+    time_flat = time.reshape(-1)
+    sin_input = scaling_factor[None, :] * time_flat[:, None]
     pos_emb = torch.cat([torch.sin(sin_input), torch.cos(sin_input)], dim=1)
-    return pos_emb
+    return pos_emb.reshape(*time.shape, dimension)
 
 
 def make_att_2d_masks(pad_masks, att_masks):
@@ -375,6 +386,16 @@ class SmolVLAPolicy(PreTrainedPolicy):
         lang_tokens = batch[f"{OBS_LANGUAGE_TOKENS}"]
         lang_masks = batch[f"{OBS_LANGUAGE_ATTENTION_MASK}"]
         actions = self.prepare_action(batch)
+        postfix_mask = None
+        rtc_cfg = self.config.rtc_training_config
+        if rtc_cfg is not None and rtc_cfg.enabled and self.training:
+            batch_size = actions.shape[0]
+            if time is None:
+                time = self.model.sample_time(batch_size, actions.device)
+            if noise is None:
+                noise = self.model.sample_noise(actions.shape, actions.device)
+            delay = sample_rtc_delay(rtc_cfg, batch_size, actions.device)
+            time, postfix_mask = apply_rtc_training_time(time, delay, actions.shape[1])
         actions_is_pad = batch.get("actions_id_pad")
         loss_dict = {}
         losses = self.model.forward(images, img_masks, lang_tokens, lang_masks, state, actions, noise, time)
@@ -384,6 +405,7 @@ class SmolVLAPolicy(PreTrainedPolicy):
             in_episode_bound = ~actions_is_pad
             losses = losses * in_episode_bound.unsqueeze(-1)
             loss_dict["losses_after_in_ep_bound"] = losses.clone()
+            postfix_mask = in_episode_bound if postfix_mask is None else (postfix_mask & in_episode_bound)
 
         # Remove padding
         losses = losses[:, :, : self.config.max_action_dim]
@@ -391,12 +413,12 @@ class SmolVLAPolicy(PreTrainedPolicy):
 
         if reduction == "none":
             # Return per-sample losses (B,) by averaging over time and action dims
-            per_sample_loss = losses.mean(dim=(1, 2))
+            per_sample_loss = masked_mean(losses, postfix_mask, reduce_dims=(1, 2))
             loss_dict["loss"] = per_sample_loss.mean().item()
             return per_sample_loss, loss_dict
         else:
             # Default: return scalar mean loss
-            loss = losses.mean()
+            loss = masked_mean(losses, postfix_mask, reduce_dims=(0, 1, 2))
             loss_dict["loss"] = loss.item()
             return loss, loss_dict
 
@@ -596,6 +618,9 @@ class VLAFlowMatching(nn.Module):
     def _rtc_enabled(self):
         return self.config.rtc_config is not None and self.config.rtc_config.enabled
 
+    def _training_time_rtc_inference_enabled(self):
+        return self.config.rtc_training_config is not None and self.config.rtc_training_config.enabled
+
     def set_requires_grad(self):
         for params in self.state_proj.parameters():
             params.requires_grad = self.config.train_state_proj
@@ -731,7 +756,10 @@ class VLAFlowMatching(nn.Module):
         )
         time_emb = time_emb.type(dtype=dtype)
 
-        time_emb = time_emb[:, None, :].expand_as(action_emb)
+        if time_emb.dim() == 2:
+            time_emb = time_emb[:, None, :].expand_as(action_emb)
+        elif time_emb.shape[:2] != action_emb.shape[:2]:
+            raise ValueError(f"Expected time_emb shape {action_emb.shape[:2]}, got {time_emb.shape[:2]}")
         action_time_emb = torch.cat([action_emb, time_emb], dim=2)
 
         action_time_emb = self.action_time_mlp_in(action_time_emb)
@@ -763,7 +791,12 @@ class VLAFlowMatching(nn.Module):
         if time is None:
             time = self.sample_time(actions.shape[0], actions.device)
 
-        time_expanded = time[:, None, None]
+        if time.ndim == 1:
+            time_expanded = time[:, None, None]
+        elif time.ndim == 2:
+            time_expanded = time[:, :, None]
+        else:
+            raise ValueError(f"Expected time shape (B,) or (B, T), got {time.shape}")
         x_t = time_expanded * noise + (1 - time_expanded) * actions
         u_t = noise - actions
         prefix_embs, prefix_pad_masks, prefix_att_masks = self.embed_prefix(
@@ -826,23 +859,35 @@ class VLAFlowMatching(nn.Module):
         num_steps = self.config.num_steps
         dt = -1.0 / num_steps
 
+        inference_delay = kwargs.get("inference_delay")
+        prev_chunk_left_over = kwargs.get("prev_chunk_left_over")
+        execution_horizon = kwargs.get("execution_horizon")
+        use_training_time_rtc = self._training_time_rtc_inference_enabled()
+
         x_t = noise
         for step in range(num_steps):
             time = 1.0 + step * dt
-            time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
 
-            def denoise_step_partial_call(input_x_t, current_timestep=time_tensor):
+            if use_training_time_rtc:
-                return self.denoise_step(
+                x_t_cond, time_tensor = apply_training_time_rtc_inference(
-                    x_t=input_x_t,
+                    x_t, time, inference_delay, prev_chunk_left_over, self.config.chunk_size
+                )
+                v_t = self.denoise_step(
+                    x_t=x_t_cond,
                     prefix_pad_masks=prefix_pad_masks,
                     past_key_values=past_key_values,
-                    timestep=current_timestep,
+                    timestep=time_tensor,
                 )
+            elif self._rtc_enabled():
+                time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
 
-            if self._rtc_enabled():
+                def denoise_step_partial_call(input_x_t, current_timestep=time_tensor):
-                inference_delay = kwargs.get("inference_delay")
+                    return self.denoise_step(
-                prev_chunk_left_over = kwargs.get("prev_chunk_left_over")
+                        x_t=input_x_t,
-                execution_horizon = kwargs.get("execution_horizon")
+                        prefix_pad_masks=prefix_pad_masks,
+                        past_key_values=past_key_values,
+                        timestep=current_timestep,
+                    )
 
                 v_t = self.rtc_processor.denoise_step(
                     x_t=x_t,
@@ -853,7 +898,13 @@ class VLAFlowMatching(nn.Module):
                     execution_horizon=execution_horizon,
                 )
             else:
-                v_t = denoise_step_partial_call(x_t)
+                time_tensor = torch.tensor(time, dtype=torch.float32, device=device).expand(bsize)
+                v_t = self.denoise_step(
+                    x_t=x_t,
+                    prefix_pad_masks=prefix_pad_masks,
+                    past_key_values=past_key_values,
+                    timestep=time_tensor,
+                )
 
             x_t = x_t + dt * v_t
 

tests/policies/rtc/test_training_time_rtc.py

@@ -0,0 +1,50 @@
+#!/usr/bin/env python
+
+# Copyright 2025 The HuggingFace Inc. team. All rights reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+"""Tests for training-time RTC helpers."""
+
+import torch
+
+from lerobot.configs.types import RTCTrainingDelayDistribution
+from lerobot.policies.rtc.configuration_rtc import RTCTrainingConfig
+from lerobot.policies.rtc.training_time import apply_rtc_training_time, sample_rtc_delay
+
+
+def test_rtc_training_config_defaults():
+    config = RTCTrainingConfig()
+    assert config.enabled is False
+    assert config.min_delay == 0
+    assert config.max_delay == 0
+    assert config.delay_distribution == RTCTrainingDelayDistribution.UNIFORM
+    assert config.exp_decay == 1.0
+
+
+def test_sample_rtc_delay_uniform_range():
+    cfg = RTCTrainingConfig(enabled=True, min_delay=1, max_delay=4)
+    delays = sample_rtc_delay(cfg, batch_size=100, device=torch.device("cpu"))
+    assert delays.min().item() >= 1
+    assert delays.max().item() <= 4
+
+
+def test_apply_rtc_training_time_prefix_mask():
+    time = torch.tensor([0.5])
+    delays = torch.tensor([2])
+    time_tokens, postfix_mask = apply_rtc_training_time(time, delays, seq_len=4)
+    assert time_tokens.shape == (1, 4)
+    assert postfix_mask.shape == (1, 4)
+    # Delay=2 means the first two steps are prefix (time forced to 0.0) and only the last two are postfix.
+    assert torch.allclose(time_tokens[0], torch.tensor([0.0, 0.0, 0.5, 0.5]))
+    assert torch.equal(postfix_mask[0], torch.tensor([False, False, True, True]))