GEOMETRY-NATIVE WORLD-ACTION MODEL

E0.5

Geometry
becomes action.

E0.5 takes a 3D foundation model, built to reconstruct the scene in front of it, and teaches it to reconstruct the future: the depth, point maps and cameras of the scene to come. Then it acts on that geometry.

INTERACTIVE PARTICLE ILLUSTRATION
UNFORMED / PARTICLE CLOUDHover here. The cloud will assemble into a robot and a cube.
X-Era.AI / WORLD-ACTION MODELS18,000 PARTICLESSCROLL TO EXPLORE ↓
00 / Technical reportarXiv 2610.36011 · 2026

E0.5: From Reconstructive to Future-Predictive 3D Foundations for Robotic World-Action Modeling

X-Era AI Lab Team

Core contributors Jianhao Lai*, Zhihao Zhan*, Zhiquan Liao*, Qichang Li, Shubin Chen, Zhiyuan Liu, Hongsen Lei, Jianman Lin, Zhihua Xu, Xiaoxin Lin, Tianshui Chen†, Liang Lin†, Guangrun Wang†

Contributors Ke Gong, Baiyue Gu, Shiming Chen, Junlin He, Longqi Yang, Junrong Xiao, Haolin Luo, Xiaojuan Su, Jianfeng Li, Yu Luo, Xu Sun, Likui Zhang, Jusheng Zhang, Qinhan Lyu

* Co-first authors  ·  † Corresponding authors

Abstract

Most world-action models (WAMs) inherit their world knowledge from video generators or vision-language models, so geometry is either implicit or an optional side input. E0.5 takes the opposite route: it is built directly on a 3D foundation model and trains that backbone end-to-end to predict the future 3D state (depth, point maps and camera parameters at the end of the action chunk) jointly with the actions that lead there.

Without any embodied-data pretraining, E0.5 reaches 89.90% success on clean RoboTwin 2.0 scenes and 50.09% on randomized scenes with a 2.32B-parameter policy. Predicting future geometry adds 9.43 points of average success over no reconstruction and 7.93 points over reconstructing the current state. After pretraining on more than 160k AgiBotWorld-Beta trajectories, mean real-world success rises by about 15 points on AgileX Piper and about 7 points on the Zerith H1 humanoid.

89.90%RoboTwin 2.0 clean
success, 50 tasks
+9.4 ptsaverage success from
predicting future geometry
2.32Bpolicy parameters,
no embodied pretraining
+15 / +7pts real-world mean SR from
pretraining · Piper / H1
01 / OverviewNative 3D backbone, explicit geometric futures

Think in geometry.
Reconstruct the future.

01 / GEOMETRY

See the scene as geometry

The head and wrist camera images and the instruction go into a 3D foundation model: a backbone built to recover depth, points and camera poses, not pixels or words.

02 / FUTURE

Reconstruct the future in 3D

The same backbone reconstructs the scene that is about to happen, as depth, point maps and camera poses. This is a training signal only; nothing extra runs at inference.

03 / ACT

Act on that geometry

An action expert reads those geometry features layer by layer and generates the next chunk of robot motion.

Most world-action models

Start from a video model or a VLM.

Image + instruction Video model or VLM Future pixels, or no future at all

Geometry stays implicit, or is bolted on as an optional extra input.

E0.5

Start from a 3D foundation model and reconstruct the future in 3D.

Head camera view: the robot holds a green block; a red block sits on the table.
Now · head camera
Predicted future depth map: the arm has moved over the red block.
Predicted depth
Predicted future point cloud: the green block is held above the red block.
Predicted point cloud

Real E0.5 output on the RoboTwin task stack_blocks_two: holding the green block, it predicts that the arm will soon be over the red block. The actions come from the same features.

02 / Real worldAgileX Piper · Zerith H1

On real robots.
One model, two embodiments.

E0.5 is post-trained on a dual-arm AgileX Piper and on the Zerith H1 dual-arm humanoid, with a head camera and two wrist cameras. Each video shows the third-person view alongside the three policy camera streams.

Real-world success: E0.5 vs. π0.5

π0.5 · no pretrain E0.5 · no pretrain π0.5 · pretrained E0.5 · pretrained

10 trials per policy, task, setting and platform. "No pretrain" compares E0.5 against Gemma-initialized π0.5; "pretrained" compares E0.5 pretrained on AgiBotWorld-Beta against the official π0.5-base checkpoint. OOD uses larger trash sets with unseen objects, unfamiliar chargers and cables, and unseen mouse poses. Completion score: charger body 0.25 + full cable 0.75; trash scored k/N.

AgileX Piper · E0.5 mean SR (ID + OOD)70.0% → 85.0%with embodied pretraining
Zerith H1 · E0.5 mean SR (ID + OOD)81.7% → 88.3%with embodied pretraining
03 / MethodNative 3D world-action model

One 3D backbone that reconstructs the future.
Geometry teaches it; actions use it.

During training, the backbone has to predict the scene's geometry at the end of each action chunk, a short way into the future. Its features therefore encode how the scene is about to change, and the action expert reads those features at every layer. At deployment only the action path runs.

Input Three camera views
Input Language instruction “Stack the green block on the red block.”
Backbone 3D foundation model Starts from a model pretrained for 3D reconstruction and is trained end to end, not frozen.
Training only Future geometry A supervision signal. Removed at deployment, so it costs nothing at inference.
Output Action expert Flow matching, conditioned on the backbone's geometry features. Next action chunk →
  1. SimulationRoboTwin 2.0: 50 demos per task, no embodied pretraining
  2. PretrainingAgiBotWorld-Beta: 160k trajectories, about 2,650 h
  3. Real robots200 demos per task on AgileX Piper and Zerith H1

Implementation details (encoders, attention layout, adapters, loss weights) are in the method section of the technical report. Open the full architecture figure ↗

04 / Future geometryRoboTwin 2.0 · 50 tasks · 3 cameras

See the future it predicts.
In depth and in 3D.

Pick any of the 50 RoboTwin tasks and compare the depth and point clouds E0.5 predicts for its head and wrist cameras with what actually happened.

adjust_bottle1 / 50

Each video is the first training trajectory of its task, not picked by quality; predictions are shown without alignment. Depth uses scene-normalized units. Point colors come from the real RGB frame for display only; E0.5 does not generate images.

Why it matters

Predicting the future is what helps.

Under the same training budget, supervising the backbone with future geometry raises mean RoboTwin success from 46.53% to 55.96%. Reconstructing only the current scene reaches 48.03%.

What the backbone is trained to predict

05 / SimulationRoboTwin 2.0 · clean → randomized

Watch it act in simulation.
Strong results without embodied pretraining.

Trained on 50 clean demonstrations per task, then evaluated in clean scenes and in domain-randomized scenes it never saw during training.

89.90%success in clean scenes,
50 tasks
50.09%success in domain-randomized
scenes
0 hembodied pretraining data,
2.32B-parameter policy
Selected successful executions
adjust_bottle1 / 50
Clean
Randomized

Clips are selected successful episodes shown from the head camera; they illustrate behavior, while the numbers above are success rates over all trials. Twelve tasks have no randomized clip and turn_switch has none yet.

Data efficiency

No robot-data pretraining needed.

With no embodied pretraining at all, E0.5 averages 70.0% across clean and randomized scenes. That is higher than π0.5, 4D-WAM and GigaBrain-0.7, which pretrain on 10,000 to 37,000 hours of robot data.

Success vs. embodied pretraining data

x = hours of embodied pretraining (0 = none). y = mean of clean and randomized success. Hover a point for details.

Full comparison with 15 published methods

Success rate on RoboTwin 2.0

Success rate (%), macro-averaged over 50 tasks. Params = policy parameters in billions. Pretrain = embodied pretraining data (– = not reported; ✗ = none). Baseline numbers as reported in the E0.5 technical report.

06 / CitationBibTeX
@article{lai2026e05,
  title   = {E0.5: From Reconstructive to Future-Predictive 3D Foundations
             for Robotic World-Action Modeling},
  author  = {Lai, Jianhao and Zhan, Zhihao and Liao, Zhiquan and Li, Qichang and
             Chen, Shubin and Liu, Zhiyuan and Lei, Hongsen and Lin, Jianman and
             Xu, Zhihua and Lin, Xiaoxin and Gong, Ke and Gu, Baiyue and
             Chen, Shiming and He, Junlin and Yang, Longqi and Xiao, Junrong and
             Luo, Haolin and Su, Xiaojuan and Li, Jianfeng and Luo, Yu and
             Sun, Xu and Zhang, Likui and Zhang, Jusheng and Lyu, Qinhan and
             Chen, Tianshui and Lin, Liang and Wang, Guangrun},
  journal = {arXiv preprint arXiv:2610.36011},
  year    = {2026}
}
E0.5 / FUTURE GEOMETRY PREDICTION

Anticipate the future.
Act in the world.

From future physical structure to embodied action. E0.5 is part of X-Era.AI's work on world-action models.

Read the technical report ↗