RoboDreamer: Learning Compositional World Models for Robot Imagination

Siyuan ZhouYilun DuJiaben ChenYandong LiDit-Yan YeungChuang Gan

article2024ICML131 citations

Proposes a compositional video diffusion framework that breaks complex instructions and multimodal goals into primitive components, enabling robots to imagine and execute plans for novel object-action combinations they never saw during training.

Abstract

Text-to-video models have demonstrated substantial potential in robotic decision-making, enabling the imagination of realistic plans of future actions as well as accurate environment simulation. However, one major issue in such models is generalization – models are limited to synthesizing videos subject to language instructions similar to those seen at training time. This is heavily limiting in decision-making, where we seek a powerful world model to synthesize plans of unseen combinations of objects and actions in order to solve previously unseen tasks in new environments. To resolve this issue, we introduce RoboDreamer, an innovative approach for learning a compositional world model by factorizing the video generation. We leverage the natural compositionality of language to parse instructions into a set of lower-level primitives, which we condition a set of models on to generate videos. We illustrate how this factorization naturally enables compositional generalization, by allowing us to formulate a new natural language instruction as a combination of previously seen components. We further show how such a factorization enables us to add additional multimodal goals, allowing us to specify a video we wish to generate given both natural language instructions and a goal image. Our approach can successfully synthesize video plans on unseen goals in the RT-X, enables successful robot execution in simulation, and substantially outperforms monolithic baseline approaches to video generation.

Table of Contents

  • 1. Introduction
  • 2. Background
  • 2.1. Planning with Text-Conditioned Video Generation
  • 2.2. Executing Videos Plans
  • 3. RoboDreamer
  • 3.1. Text Parser
  • 3.2. Compositional Generation
  • 3.3. Multi-modal Composition
  • 4. Experiments
  • 4.1. Evaluation on Video Generation
  • 4.2. Evaluation on Robotic Planning
  • 5. Related Work
  • 6. Conclusion
  • Impact Statement
  • Acknowledgements
  • References
  • A. Experimental Details
  • A.1. Video Diffusion
  • A.2. Other Details
  • B. Additional Results
  • B.1. Visualization on RLBench
  • B.2. More Results on Video Generation
  • B.3. IMO Metrics

Knowls

  1. Knowl 1 — RoboDreamer Compositional Video Generation Formulation

    model/method

    RoboDreamer models the video generation probability distribution pθ(τ∣L)p_\theta(\tau | L) for a video trajectory τ=[x1,…,xH]\tau = [x_1, \dots, x_H] conditioned on a natural language instruction LL by factorizing it over a set of NN parsed semantic components {li}i=1N\{l_i\}_{i=1}^N:

    pθ(τ∣L)∝∏i=1Npθ(τ∣li)1Np_\theta(\tau | L) \propto \prod_{i=1}^N p_\theta(\tau | l_i)^{\frac{1}{N}}

    where each lil_i represents an isolated sub-component of the command (such as a verb phrase representing an action or a prepositional phrase representing a spatial relationship).

    By leveraging the equivalence between diffusion models and energy-based models (EBMs), each individual density pθ(τ∣li)p_\theta(\tau | l_i) corresponds to a learned score function ϵθ(τt,t∣li)\epsilon_\theta(\tau_t, t | l_i) at diffusion timestep tt. The score function of the product distribution is the arithmetic mean of the individual score functions:

    ∇τlog⁡pθ(τt,t∣L)=1N∑i=1Nϵθ(τt,t∣li)\nabla_{\tau} \log p_\theta(\tau_t, t | L) = \frac{1}{N} \sum_{i=1}^N \epsilon_\theta(\tau_t, t | l_i)

    This compositional factorization allows the generative world model to generalize zero-shot to novel combinations of language instructions at inference time, provided the constituent primitive components lil_i have been encountered in training distribution.

  2. Knowl 2 — Language Instruction Parsing into Action and Spatial Primitives

    model/method

    To structure unstructured language goals into factorized components for video synthesis, RoboDreamer utilizes a constituency parser combined with rule-based syntactic decomposition.

    Given a natural language task description LL, the parser decomposes the instruction into:

    1. Verb Phrases (VP): Representing the physical actions of the task (e.g., "place water bottle" or "pick orange").
    2. Prepositional Phrases (PP): Representing target spatial arrangements, source locations, or relative object configurations (e.g., "from bottom drawer" or "into top drawer").

    The resulting set of language primitives {li}i=1N\{l_i\}_{i=1}^N is passed as individual conditional inputs to the diffusion model network during training and compositional inference.

  3. Knowl 3 — Multimodal Instruction Composition in RoboDreamer

    model/method

    RoboDreamer extends compositional factorization beyond text by jointly conditioning video generation on both a set of language sub-components L={li}i=1NL = \{l_i\}_{i=1}^N and a set of multimodal goal specifications M={mj}j=1KM = \{m_j\}_{j=1}^K, such as goal images or goal sketches. The joint generative distribution is defined as the normalized product of all component distributions:

    pθ(τ∣L,M)∝∏i=1Npθ(τ∣li)1N+K∏j=1Kpθ(τ∣mj)1N+Kp_\theta(\tau | L, M) \propto \prod_{i=1}^N p_\theta(\tau | l_i)^{\frac{1}{N+K}} \prod_{j=1}^K p_\theta(\tau | m_j)^{\frac{1}{N+K}}

    To train the model to denoise under subsets of multimodal inputs, RoboDreamer minimizes a mean squared error objective over randomly selected subsets SS of language primitives lSil_{S_i} and multimodal conditions MSjM_{S_j}:

    LMSE=∥12M∑i=1Mϵθ(τt,t∣lSi)+12M∑j=1Mϵθ(τt,t∣MSj)−ϵ∥2\mathcal{L}_{\text{MSE}} = \left\| \frac{1}{2M} \sum_{i=1}^M \epsilon_\theta(\tau_t, t | l_{S_i}) + \frac{1}{2M} \sum_{j=1}^M \epsilon_\theta(\tau_t, t | M_{S_j}) - \epsilon \right\|^2

    where τt\tau_t is the noisy video at timestep tt corrupted by Gaussian noise ϵ∼N(0,I)\epsilon \sim \mathcal{N}(0, I), and MM is the number of sampled components in the subset.

  4. Knowl 4 — RoboDreamer Compositional Video Diffusion Training

    algorithm

    RoboDreamer trains a conditional score-based diffusion network ϵθ\epsilon_\theta to model both individual and composite language conditions using a hybrid subset-denoising objective.

    Input: Video diffusion score network ϵθ\epsilon_\theta, training step count NstepsN_\text{steps}, noise schedule αˉt\bar{\alpha}_t
    for step =1= 1 to NstepsN_\text{steps} do
        Sample clean video τ0\tau_0 and parsed language instruction primitives L={li}i=1NL = \{l_i\}_{i=1}^N
        Sample diffusion timestep t∼Uniform({1,…,T})t \sim \text{Uniform}(\{1, \dots, T\})
        Sample Gaussian noise ϵ∼N(0,I)\epsilon \sim \mathcal{N}(0, I)
        Compute noisy video latent τt=αˉtτ0+1−αˉtϵ\tau_t = \sqrt{\bar{\alpha}_t} \tau_0 + \sqrt{1 - \bar{\alpha}_t} \epsilon
        Sample a subset S′⊆LS' \subseteq L of MM components {lSi′}i=1M\{l_{S'_i}\}_{i=1}^M
        Compute composite denoising loss: LMSE=∥1M∑i=1Mϵθ(τt,t∣lSi′)−ϵ∥2\mathcal{L}_\text{MSE} = \|\frac{1}{M} \sum_{i=1}^M \epsilon_\theta(\tau_t, t | l_{S'_i}) - \epsilon\|^2
        Take gradient descent step on LMSE\mathcal{L}_\text{MSE} with respect to θ\theta
    end for
  5. Knowl 5 — RoboDreamer Compositional Diffusion Inference Algorithm

    algorithm

    At inference time, RoboDreamer synthesizes video plans for unseen task combinations by aggregating score predictions conditioned on each parsed instruction primitive and applying classifier-free guidance.

    Input: Diffusion model ϵθ\epsilon_\theta, parsed language instructions L={li}i=1NL = \{l_i\}_{i=1}^N, guidance weight ww, noise variance parameters αt,αˉt,σt\alpha_t, \bar{\alpha}_t, \sigma_t
    Sample initial noise video τT∼N(0,I)\tau_T \sim \mathcal{N}(0, I)
    for t=Tt = T down to 11 do
        Compute unconditional score ϵuncond←ϵθ(τt,t)\epsilon_\text{uncond} \leftarrow \epsilon_\theta(\tau_t, t)
        Compute composite guided score ϵ~←ϵuncond+∑i=1Nw(ϵθ(τt,t∣li)−ϵuncond)\tilde{\epsilon} \leftarrow \epsilon_\text{uncond} + \sum_{i=1}^N w (\epsilon_\theta(\tau_t, t | l_i) - \epsilon_\text{uncond})
        Sample random noise z∼N(0,I)z \sim \mathcal{N}(0, I) if t>1t > 1, else z←0z \leftarrow 0
        Update latent video: τt−1←1αt(τt−1−αt1−αˉtϵ~)+σtz\tau_{t-1} \leftarrow \frac{1}{\sqrt{\alpha_t}} \left( \tau_t - \frac{1 - \alpha_t}{\sqrt{1 - \bar{\alpha}_t}} \tilde{\epsilon} \right) + \sigma_t z
    end for
    Output: Synthesized video plan τ0\tau_0
  6. Knowl 6 — Closed-Loop Robotic Planning via Video Plans and Inverse Dynamics

    model/method

    RoboDreamer converts robotic task execution into a two-stage decision process using the Unified Predictive Decision Process (UPDP) framework G=⟨X,C,H,ρ⟩G = \langle \mathcal{X}, \mathcal{C}, H, \rho \rangle, where X\mathcal{X} is the image observation space, C\mathcal{C} is the text task instruction space, HH is the horizon length, and ρ(⋅∣x0,c):X×C→Δ(XH)\rho(\cdot | x_0, c) : \mathcal{X} \times \mathcal{C} \to \Delta(\mathcal{X}^H) is the conditional video generator.

    1. Plan Generation: Given the current observation x0x_0 and language command cc, the video diffusion model generates a predicted future video rollout τ=[x1,x2,…,xH]\tau = [x_1, x_2, \dots, x_H].
    2. Action Inference: An inverse dynamics model π(at∣xt,xt+1,st)\pi(a_t | x_t, x_{t+1}, s_t)—implemented as a ResNet-18 backbone followed by an MLP—takes consecutive generated video frames xt,xt+1x_t, x_{t+1} and the current robot state sts_t to infer low-level robot actions ata_t.
    3. Closed-Loop Execution: To prevent cascading compounding errors during execution, the robot periodically regenerates fresh video plans from its current observation xtx_t and resumes action execution.
  7. Knowl 7 — RoboDreamer Architecture and Cascaded Video Diffusion Setup

    model/method

    The video generation architecture of RoboDreamer is built upon AVDC and Imagen video diffusion models with the following specifications:

    • Cascaded Diffusion Pipeline: Video generation utilizes a three-stage cascaded diffusion process that generates base frames at 8×64×648 \times 64 \times 64 resolution and sequentially super-resolves them to 8×128×1288 \times 128 \times 128 and 8×256×2568 \times 256 \times 256.
    • U-Net Backbone: Consists of 4 ResNet blocks with base channel dimension 128 and channel multipliers [1,2,4,8][1, 2, 4, 8]. Each block contains spatial-temporal convolution layers and cross-attention layers for instruction conditioning. Temporal attention is added in the last encoder block and the first decoder block.
    • Conditioning Mechanisms: Textual instructions are encoded using a frozen T5-XXL text encoder. Goal images and goal sketches are encoded using the pre-trained VQ-VAE encoder from Stable Diffusion. All condition embeddings are unified using PerceiverSampler before being injected via cross-attention into the U-Net ResNet blocks.
    • Temporal Consistency: The initial conditioning frame x0x_0 is concatenated channel-wise to all noisy frames prior to input into the U-Net.
  8. Knowl 8 — Zero-Shot Video Generation Evaluation on Seen and Unseen RT-1 Instructions

    data/table

    RoboDreamer was evaluated on video generation quality and task alignment on the RT-1 robotic manipulation dataset (trained on ∼70k\sim 70\text{k} demonstrations across 500 tasks). Human evaluators (at least 3 raters per sample over 128 samples across >20>20 text prompts) rated task completion on a binary scale (1=executable and solves task1 = \text{executable and solves task}, 0=unreasonable or fails0 = \text{unreasonable or fails}).

    Model Seen (%) Unseen (%)
    AVDC 63.1 46.9
    HiP 70.3 50.1
    RoboDreamer w/o parsing 85.5 68.8
    RoboDreamer 90.1 81.3

    RoboDreamer outperforms monolithic text-to-video baselines (AVDC and HiP) and an unparsed variant of RoboDreamer, particularly on unseen task instruction combinations where it achieves an 81.3%81.3\% success score compared to 46.9%46.9\% for AVDC.

  9. Knowl 9 — Multimodal-Conditioned Video Generation Performance

    data/table

    Video synthesis performance was evaluated under multimodal conditioning settings on the RT-1 benchmark: text only (tt), text + sketch (t+st+s), and text + goal image (t+it+i). Metrics include human evaluation score (Human ↑\uparrow), Fréchet Video Distance (FVD ↓\downarrow), and target object bounding-box Intersection-over-Union (IMO ↑\uparrow) detected using GroundingDINO.

    Model Human (%) ↑\uparrow FVD ↓\downarrow IMO ↑\uparrow
    AVDC 46.9 517.1 –
    RoboDreamer (t) 81.3 487.8 63.5
    RoboDreamer (t+s) 94.7 454.7 72.5
    RoboDreamer (t+i) 95.8 444.3 78.1

    Adding visual goal sketches (t+st+s) or goal images (t+it+i) substantially improves video visual quality (lower FVD), human execution plausibility (up to 95.8%95.8\%), and precise object spatial alignment (IMO increasing from 63.563.5 to 78.178.1).

  10. Knowl 10 — Robotic Planning Task Success Rates on RLBench

    data/table

    RoboDreamer was deployed for closed-loop robotic planning on RLBench using a 7-DoF Franka Panda manipulator receiving single front-camera RGB observations without goal images.

    Model lamp off lamp on stack blocks lift block take shoes close box Average (%)
    Image-BC 60.1 47.0 0.0 0.0 0.0 82.4 31.6
    Hiveformer 81.2 53.2 10.6 28.2 1.0 90.8 44.2
    UniPi 70.6 47.1 7.1 23.3 3.8 94.1 41.0
    RoboDreamer 96.3 51.9 18.5 22.2 10.5 96.3 49.3

    RoboDreamer achieves an average success rate of 49.3%49.3\%, outperforming Image-BC (31.6%31.6\%), Hiveformer (44.2%44.2\%), and UniPi (41.0%41.0\%). It achieves notable gains on long-horizon multi-step manipulation tasks such as stack blocks (18.5%18.5\%) and take shoes (10.5%10.5\%).

  11. Knowl 11 — Limitations of RoboDreamer

    limitation

    RoboDreamer has three primary documented limitations:

    1. Single-Camera Observation Constraint: The model operates only on single-camera RGB inputs and does not integrate multi-camera observations or explicit 3D inductive biases, restricting performance on tasks requiring detailed 3D spatial geometry.
    2. Visual Generalization to Out-of-Distribution Real Environments: The model exhibits reduced generalization when deployed on diverse real-world images that deviate substantially from robotics training datasets.
    3. Moving-Camera Scenarios: Video diffusion generation fidelity deteriorates significantly under moving camera settings, necessitating additional camera stabilization or motion conditioning mechanisms.

Coverage note — None was omitted; the knowls comprehensively cover the theoretical formulations, training and inference algorithms, architecture and setup details, multimodal conditioning extensions, empirical evaluations on RT-1 and RLBench, and documented limitations.

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Citation

MLA
Zhou, S., et al. “RoboDreamer: Learning Compositional World Models for Robot Imagination”. arXiv, 2024, http://arxiv.org/abs/2404.12377v1.
APA
Zhou, S., Du, Y., Chen, J., Li, Y., Yeung, D.-Y., & Gan, C. (2024). RoboDreamer: Learning Compositional World Models for Robot Imagination. arXiv. http://arxiv.org/abs/2404.12377v1
Chicago
Zhou, S., Y. Du, J. Chen, Y. Li, D.-Y. Yeung, and C. Gan. 2024. “RoboDreamer: Learning Compositional World Models for Robot Imagination”. arXiv. http://arxiv.org/abs/2404.12377v1.
Harvard
Zhou, S. et al. (2024) “RoboDreamer: Learning Compositional World Models for Robot Imagination”, arXiv [Preprint]. Available at: http://arxiv.org/abs/2404.12377v1.
Vancouver
1. Zhou S, Du Y, Chen J, Li Y, Yeung D-Y, Gan C (2024) RoboDreamer: Learning Compositional World Models for Robot Imagination. arXiv

BibTeX

@article{zhou2024robodreamer,
  title = {RoboDreamer: Learning Compositional World Models for Robot Imagination},
  author = {Zhou, Siyuan and Du, Yilun and Chen, Jiaben and Li, Yandong and Yeung, Dit-Yan and Gan, Chuang},
  year = {2024},
  journal = {arXiv},
  url = {http://arxiv.org/abs/2404.12377v1},
  eprint = {2404.12377}
}
Metadata:arXiv

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