VLA Models — Vision-Language-Action

Updated July 2026 with 2025–2026 SOTA additions — new entries marked ★. Algorithm names link to their papers (arXiv / project page).

April 2026 · Version 1.0


Contents

  1. What Is a VLA Model?
  2. Anatomy of a VLA
  3. Action Representations
  4. Action Chunking
  5. Major VLA Models: Google's Robotics Line
  6. Open VLA Lineage
  7. π0 Family (Physical Intelligence)
  8. NVIDIA GR00T
  9. Figure's Helix
  10. Spatial-Aware VLAs
  11. Pretraining and Post-Training Pipeline
  12. Datasets and Embodiments
  13. Sim-to-Real for VLA
  14. Real-Time Inference
  15. RL Fine-Tuning of VLAs
  16. Multi-Embodiment and Generalization
  17. Evaluation
  18. Deployment Patterns
  19. Frontier 2025–2026
  20. The 2026 Production Stack Appendix A: Twenty-Five Things to Know Appendix B: Decision Tree — "Which VLA?" Appendix C: Year-by-Year VLA Milestones

1. What Is a VLA Model?

1.1 Working definition

A Vision-Language-Action (VLA) model is a single neural network that takes (a) visual observations and (b) a natural-language instruction (and often (c) proprioception), and outputs (d) actions for a robot.

\[\pi_\theta : (o_t^{\text{img}},\ c_{\text{instr}},\ o_t^{\text{prop}}) \to a_t.\]

1.2 Why VLA?

1.3 The recipe (in one sentence)

Key

Take a pretrained VLM, attach an action head, train on robot trajectories. The pretrained VLM provides visual + language understanding; the action head produces (or predicts) control signals.

1.4 VLA vs traditional robotics

Traditional VLA
Tasks per-task hand-coded multi-task via language
Generalization poor across tasks strong via language
Dexterous skill specialized BC / RL shared backbone
Sample efficiency low; per-task data web pretraining helps
Engineering cost high per task high once, then scale
Deployment latency low (small models) higher; chunking helps

1.5 The 2024–26 inflection

1.6 The principal-level claim

Key

Robotics is having its ImageNet moment via cross-embodiment data (Open-X-Embodiment) + VLM pretraining + scalable action heads. By 2026, frontier robotics is dominated by VLA pretraining + per-task fine-tuning, not per-task RL.

2. Anatomy of a VLA

2.1 Visual encoder

2.2 Language understanding

2.3 LLM / VLM backbone

2.4 Proprioception

2.5 Action head

The most varied component. Options:

2.6 Output format

2.7 Action space dimensionality

2.8 Frequency / control rate

3. Action Representations

3.1 Discrete action tokens (RT-1, RT-2, OpenVLA)

Per-dim binning: each action dim discretized into 256 bins; 7-dim arm → 7 tokens per timestep. Embedded into LLM vocabulary so VLM predicts actions as it predicts text.

Pros: integrates cleanly with LLM; cross-embodiment by remapping bins. Cons: discretization noise; \(256^7\) effective combinations.

3.2 Continuous regression

Linear / MLP head on backbone last hidden state → continuous action vector. Cheap; loses uncertainty; collapses to mean for multi-modal actions.

3.3 Mixture Density Networks (MDNs)

Predict GMM over actions:

\[p(a|x) = \sum_k \pi_k(x)\, \mathcal{N}(a;\, \mu_k(x),\, \Sigma_k(x)).\]

Captures multi-modality. Less common in modern VLAs (replaced by diffusion / FM).

3.4 Diffusion policy (Chi et al. 2023)

Generate action chunk via conditional diffusion:

\[\mathcal{L} = \mathbb{E}_{k,\epsilon,a_0,o} \left\| \epsilon - \epsilon_\theta\!\left(\sqrt{\bar\alpha_k}\, a_0 + \sqrt{1-\bar\alpha_k}\,\epsilon,\ k,\ o\right) \right\|^2.\]

Multi-modal action distributions captured naturally. Receding-horizon execution.

3.5 Flow matching action heads (π0)

Faster than diffusion; train with FM objective:

\[\mathcal{L}_{\text{FM}} = \mathbb{E}_{t,\epsilon,a_0,a_1,o} \left\| v_\theta(a_t, t, o) - (a_1 - a_0) \right\|^2.\]

Single-step or few-step inference; continuous actions. Standard in π0 family.

3.6 FAST action tokenizer (Pi)

FAST: BPE-like tokenizer over action sequences. Produces compact discrete tokens that the VLM can predict.

Bridges discrete-token simplicity with continuous-action expressiveness.

3.7 VQ action tokenizer

Learn discrete codebook over action chunks; predict code indices. Used in some recent open-source attempts.

3.8 Action token cheat table

Method Pros Cons
Discrete (256 bins) integrates with LLM 256-step quantization
Continuous regression simple no multi-modality
MDN multi-modal tuning sensitive
Diffusion policy expressive multi-modal slow inference
Flow matching (π0) FM speed + quality needs FM head
FAST tokenizer expressive + LLM-compatible extra training
VQ action tokens compact codebook collapse risk

4. Action Chunking

4.1 The idea

Predict H actions at a time, not one. Reduces per-step inference cost; smooths actions; reduces compounding error; captures temporal correlation.

4.2 ACT (Action Chunking Transformer, Zhao et al. 2023)

\[\mathcal{L}_{\text{ACT}} = \mathbb{E}\left\| \hat a_{t:t+H} - a_{t:t+H} \right\|_1 + \beta\, \mathrm{KL}\!\left(q(z|a,o)\,\|\,p(z)\right).\]

4.3 Temporal ensembling

At each timestep, average overlapping action chunks generated at different past steps. Smooths jitter; effectively a low-pass filter.

4.4 Diffusion Policy chunks

Predict \(H = 8\text{–}16\) actions via conditional diffusion. Receding-horizon: execute first \(h < H\), then re-plan.

4.5 π0 chunks

Predict 50-step action chunk via FM head. 50 Hz control from a 5 Hz inference.

4.6 Trade-offs

5. Major VLA Models: Google's Robotics Line

5.1 RT-1 (Robotics Transformer, 2022)

5.2 RT-2 (2023)

5.3 RT-X / RT-2-X (2023)

5.4 PaLM-E (2023)

5.5 SARA-RT, RT-Trajectory, RT-Sketch

RT family extensions for various conditioning (drawn trajectories, sketches, etc.).

5.6 ALOHA / Mobile ALOHA / ALOHA Unleashed

Hardware platform (low-cost teleoperation) for collecting bimanual demonstrations. Used to train ACT, Diffusion Policy. Influential reference platform for many open VLAs.

★ 2026 SOTA update — Gemini Robotics (Google DeepMind)

6. Open VLA Lineage

6.1 OpenVLA (Stanford 2024)

6.2 Octo (Stanford / Berkeley 2024)

6.3 RDT-1B / RDT-2B (Robotics Diffusion Transformer)

6.4 Octo + similar small open VLAs

6.5 CogACT

Diffusion Action Transformer with video pretraining. Improves multi-modal action distribution capture.

6.6 TraceVLA

Conditioned on visual "traces" (drawn paths) for object-relative motion. Useful for demonstration-style conditioning.

★ 2026 SOTA update — OpenVLA successors & compact open VLAs

7. π0 Family (Physical Intelligence)

7.1 The premise

Build a single foundation model for robotics analogous to GPT-3 for language. Train at scale on diverse embodiments.

7.2 π0 (2024)

7.3 π0 FM action head equation

\[\mathcal{L}_{\text{FM}} = \mathbb{E}_{t\sim U(0,1),\, a_0,\, a_1,\, o} \left\| v_\theta\!\left((1-t)a_0 + t a_1,\ t,\ o\right) - (a_1 - a_0) \right\|^2,\]

\(a_0 \sim \mathcal{N}(0, I)\), \(a_1\) = real action chunk, conditioned on observation \(o\).

7.4 π0.5 (2025)

7.5 Why FM for actions?

7.6 Practical impact

π0 deployed in production for several Physical Intelligence customers (warehouse, kitchen tasks). π0.5 pushes long-horizon humanoid manipulation.

★ 2026 SOTA update — π*0.6 — VLA that learns from experience

8. NVIDIA GR00T

8.1 The platform play

GR00T = General Humanoid Robot platform. Combines:

8.2 GR00T N1 (2025)

8.3 GR00T N2

Scaled successor; better long-horizon, better cross-embodiment.

8.4 Cosmos integration

Cosmos World Foundation Models generate counterfactual rollouts; GR00T trained / fine-tuned in Cosmos as world simulator.

8.5 Isaac Lab + Sim-to-real

Asymmetric A-C with privileged state in sim; distill to vision-only student; deploy on real humanoid.

8.6 Jetson Thor

On-board edge GPU for running VLA inference at ∼10 Hz on the robot. Critical for autonomy.

9. Figure's Helix

9.1 The two-network split

Helix uses System 1 / System 2 architecture explicitly:

9.2 Why split?

9.3 On-board inference

Helix runs entirely on-robot (no cloud dependency). Critical for production humanoid deployment in homes / warehouses.

9.4 Multi-robot coordination

Demonstrated: two Figure robots collaborating on a single task with shared S2 planning. Foreshadows multiagent VLA.

9.5 Industrial deployment

Figure has BMW partnership for industrial humanoid use; Helix is the policy.

10. Spatial-Aware VLAs

10.1 The problem

Standard VLMs (LLaVA, Qwen-VL) trained on internet text+images are weak at 3D spatial reasoning critical for robot tasks.

10.2 SpatialVLM (Google)

Fine-tune VLM on synthetic 3D-grounded spatial QA data:

Massively improves spatial reasoning. Useful for any robot task requiring 3D understanding.

10.3 SpatialVLA, SpatialBot, RoboPoint, RoboVLM

Various follow-ups with different data / architectures. SpatialVLA is full VLA; SpatialBot is VLM only.

10.4 3D-VLA

Use 3D representation (point cloud, voxel grid, or 3DGS) as additional input to VLA. Better object-relative reasoning.

10.5 Affordance prediction

Predict "where to grasp" / "where to pour" / "where to push" as auxiliary head. Improves manipulation.

10.6 Depth-aware VLAs

Some VLAs add a depth encoder branch. Useful for cluttered manipulation. Trade-off: more parameters; not all sensors have depth.

11. Pretraining and Post-Training Pipeline

11.1 The four stages

  1. VLM pretraining: standard web-scale image+text training (often inherited).
  2. Action co-training: train on robot data + web data simultaneously.
  3. Robot-specific fine-tuning: on target embodiment / task.
  4. RL fine-tuning (optional): residual RL to surpass demonstrations.

11.2 Why co-train with web data?

11.3 Per-embodiment adaptation

11.4 LoRA fine-tuning

11.5 Sample-efficient task fine-tuning

11.6 Hierarchical fine-tuning (π0.5, Helix)

12. Datasets and Embodiments

12.1 Open-X-Embodiment (OXE, 2024)

12.2 DROID (2024)

12.3 Bridge V2 (Berkeley)

12.4 ALOHA / Mobile ALOHA datasets

Bimanual demos collected on ALOHA hardware. Training data for ACT, Diffusion Policy.

12.5 AgiBot World (2024)

Large-scale humanoid dataset from AgiBot (China). Driving Asian-led humanoid VLA development.

12.6 RH20T (2024)

12.7 DexCap, UMI

12.8 1X World Model dataset

Humanoid robot footage from 1X. Used for both VLA training and world model.

12.9 Embodiment landscape

Embodiment Examples DoF
Single-arm Franka, UR5, xArm, KUKA 6+1
Dual-arm (table) ALOHA, Aloha-2 14+2
Mobile dual-arm Mobile ALOHA, Stretch 14+2+base
Humanoid (small) Unitree H1 / G1 19–23
Humanoid (full) Atlas, Optimus, Figure, 1X 28+
Quadruped+arm ANYmal+Z1 varies

13. Sim-to-Real for VLA

13.1 Why sim?

13.2 The reality gap

Visual + dynamics differences between sim and real. VLA-specific challenges:

13.3 Domain randomization

Per episode, randomize:

Trained policy invariant to these variations → transfers.

13.4 Asymmetric Actor-Critic

13.5 Privileged-to-vision distillation

After RL, distill privileged actor (sees state \(s\)) into vision-only student (sees \(o\)):

\[\mathcal{L}_{\text{distill}} = \mathbb{E}\left\| \pi_S(o) - \pi_T(s) \right\|^2.\]

Standard for production sim-to-real.

13.6 Cosmos / Isaac Lab integration

Cosmos World Foundation Models provide photoreal video; Isaac Lab provides physics. Combine for rich training environments.

13.7 Mixed sim+real training

13.8 World-model-as-simulator (frontier 2025)

Use video world model (Sora-class) as the simulator instead of physics engine. Higher visual realism; physics fidelity still emerging.

14. Real-Time Inference

14.1 Latency budget

14.2 Distillation for deployment

14.3 Quantization

14.4 On-board vs off-board

14.5 Tokenization speed

Image encoding can dominate inference. Approaches:

14.6 S1 / S2 separation latency model

★ 2026 SOTA update — Unified dual-system fast/slow VLA

15. RL Fine-Tuning of VLAs

15.1 Why RL on top of BC?

BC bounded by demonstration quality; RL can surpass. But RL from scratch on real robots is sample-prohibitive.

RL fine-tuning of pretrained VLA is the sweet spot.

15.2 Residual policy

15.3 Q-chunking

RL on action chunks (not single steps). Each chunk treated as one "meta-action." Easier credit assignment for long-horizon tasks.

15.4 Diffusion DPO for actions

15.5 DPPO (Diffusion Policy PO)

Cast diffusion policy as multi-step MDP; PPO with reward = task success.

15.6 GRPO on action sequences

Sample multiple rollouts per task; compare; train with group-relative advantage. Verifiable reward = task success / completion / safety.

15.7 IRL / inverse RL

Recover reward from demos; then RL with that reward. Useful when explicit reward is hard to specify.

15.8 Practical recipes

★ 2026 SOTA update — RL post-training of VLAs (2025)

16. Multi-Embodiment and Generalization

16.1 Cross-embodiment learning

16.2 Embodiment representation

16.3 Action canonicalization

Normalize across embodiments:

16.4 Camera frame canonicalization

Standardize camera mounting / FOV across embodiments.

16.5 What transfers

16.6 What doesn't transfer (yet)

★ 2026 SOTA update — Latent-action cross-embodiment learning

17. Evaluation

17.1 Benchmarks

Benchmark Domain Notes
SimplerEnv manipulation eval sim eval correlated with real
LIBERO manipulation 130 tasks, 4 task suites
RoboCasa kitchen tasks large-scale sim
ManiSkill 3 manipulation GPU-accelerated sim
CALVIN long-horizon manipulation, language-conditioned
LangSim language-conditioned multi-task
RoboTHOR / Habitat navigation + manipulation embodied general evals
RT / DROID / OXE real-world manipulation evals gold standard

17.2 Real-world success rate

17.3 SimplerEnv (Stanford)

Calibrated sim that closely matches real benchmarks. Cheap iteration on policy without robot time.

17.4 Fine-grained evaluation

17.5 Robustness probes

17.6 Multi-step / long-horizon

18. Deployment Patterns

18.1 Production deployment topologies

18.2 Safety architectures

18.3 Continuous learning loop

18.4 Multi-tenant fleet patterns

18.5 Failure-mode logging

19. Frontier 2025–2026

19.1 Humanoid foundation models

GR00T / Helix / 1X / π0.5: foundation models specifically for humanoids. Massive investment; several startups + NVIDIA + Tesla.

19.2 Long-horizon manipulation

π0.5: folding laundry, cleaning, multi-minute tasks. Hierarchical S2/S1 architectures emerging.

19.3 Multi-robot coordination

Helix demoed two robots working together. VLA + multi-agent communication / shared planning emerging.

19.4 World-model + VLA hybrids

Train VLA inside Cosmos / GR00T world model. Imagine + execute.

19.5 Dexterous manipulation

Tactile sensing + VLA: in-hand manipulation, fine assembly. Active research; production-grade still rare.

19.6 In-context learning for robots

Few-shot demos for new tasks via prompt engineering / in-context learning. Generalizes ICL paradigm to robots.

19.7 RL on top of VLA at scale

Sample-efficient RL fine-tuning of pretrained VLAs. Surpasses BC ceiling.

19.8 Safety + alignment

19.9 Open research questions

★ 2026 SOTA update — Unified world-model + action VLAs

20. The 2026 Production Stack

Use case Default approach Notes
Open VLA baseline OpenVLA / Octo Llama 2 + DINOv2 + SigLIP
Frontier open VLA RDT-1B / RDT-2B Diffusion policy
Production manipulation π0 / π0.5 (commercial) Flow-matching action head
Humanoid foundation model GR00T N1 / N2 (NVIDIA) + Cosmos sim
Industrial humanoid Helix (Figure, closed) On-board inference
Bimanual demos ACT / Diffusion Policy ALOHA platform
Spatial reasoning add-on SpatialVLM / SpatialBot 3D-grounded data
3D-aware VLA 3D-VLA + point cloud branch For cluttered manip
Cross-embodiment training OpenVLA-style with OXE RT-X pattern
Sim-to-real Cosmos + Isaac Lab + asymmetric A-C GR00T pattern
RL fine-tuning Q-chunking + residual RL on pretrained VLA Sample-efficient
Edge deployment Distilled VLA + INT8 quant Thor on Jetson; Real-time
Eval (sim) SimplerEnv + LIBERO + ManiSkill 3 Standard
Eval (real) DROID-style multi-institution Gold standard

Appendix A: Twenty-Five Things to Know

  1. VLA = vision + language + action in single model.
  2. Recipe: pretrained VLM + action head + robot data.
  3. RT-1 (2022): discrete actions, 35M params, baseline.
  4. RT-2 (2023): VLM + action vocab; co-train with web data.
  5. RT-X / Open-X-Embodiment: 1.4M trajectories, 22 embodiments.
  6. OpenVLA: open RT-2 reference; Llama 2 + DINOv2 + SigLIP.
  7. Octo: smaller diffusion-policy open VLA.
  8. RDT-1B / RDT-2B: 1B/2B-param diffusion VLA.
  9. π0: PaliGemma + flow-matching action head.
  10. \(\pi_0\) FM loss: \(\left\| v_\theta - (a_1 - a_0) \right\|^2\).
  11. \(\pi_{0.5}\): hierarchical S2/S1 for long-horizon.
  12. GR00T: NVIDIA humanoid platform; Cosmos sim integration.
  13. Helix: Figure's S2/S1 split for on-board inference.
  14. PaLM-E: predates RT-2; embodied multimodal LM.
  15. Discrete action tokens: 256 bins per action dim.
  16. Diffusion Policy: multi-modal action chunks.
  17. Flow matching: π0's choice; few-step inference.
  18. ACT: action chunking transformer + CVAE.
  19. Temporal ensembling: average overlapping chunks.
  20. Spatial VLMs: SpatialVLM / SpatialBot / RoboPoint.
  21. Sim-to-real: DR + asymmetric A-C + privileged-to-vision distill.
  22. Cross-embodiment via OXE; positive transfer.
  23. LoRA per task / per embodiment, shared base.
  24. RL fine-tune via Q-chunking / residual / Diffusion DPO / GRPO.
  25. Edge: Jetson Thor + distillation + INT8.

Appendix B: Decision Tree — "Which VLA?"

  1. Research baseline / academic project? → OpenVLA (open + reproducible).
  2. Want diffusion policy specifically? → Octo (small) or RDT-1B/2B (frontier).
  3. Production manipulation, commercial? → \(\pi_0\) / \(\pi_{0.5}\) (Physical Intelligence).
  4. Humanoid robot, NVIDIA stack? → GR00T N1 / N2 + Cosmos + Isaac Lab.
  5. Industrial humanoid, on-board? → Helix (Figure, closed) or build S2/S1 with π0/GR00T.
  6. Bimanual table-top demos? → ACT or Diffusion Policy on ALOHA.
  7. Need 3D / spatial reasoning? → SpatialVLM fine-tune or 3D-VLA with point-cloud branch.
  8. Cross-embodiment scaling? → Open-X-Embodiment + RT-X pattern.
  9. RL fine-tuning? → Q-chunking / Residual RL / Diffusion DPO / GRPO on pretrained VLA.
  10. Edge / on-robot deployment? → Distill + INT8 + Jetson Thor.

Appendix C: Year-by-Year VLA Milestones