Geometry-Aware Motion Latents for Learning Robust Manipulation Policies

TL;DR

GeoMoLa learns motion latents by predicting point cloud evolution, achieving SOTA performance with single-view RGB-D input.

cs.RO 🔴 Advanced 2026-07-06 2 views
Yunchao Zhang Yijia Weng Ruizhe Liu Ming Hu Leonidas Guibas Yanchao Yang
robotics motion latents 3D geometry self-supervised learning manipulation policies

Key Findings

Methodology

GeoMoLa learns discrete motion latent codes by predicting how point clouds evolve during manipulation, rather than reconstructing visual observations. This four-dimensional objective forces latent representations to encode actual physical motion.

Key Results

  • GeoMoLa achieves state-of-the-art performance using only single-view RGB-D input, outperforming existing methods requiring multi-view reconstruction.
  • Ablation studies reveal that geometric prediction is key to performance improvement, quantitatively validating that manipulation depends on spatial understanding.
  • In real-world experiments, GeoMoLa achieves robust manipulation with minimal demonstrations in cluttered environments.

Significance

GeoMoLa demonstrates a new approach to learning effective motion latents for robotic manipulation by understanding motion through three-dimensional effects rather than pixel-level patterns. Its robustness in complex environments and minimal demonstration requirement make it significant for practical applications.

Technical Contribution

GeoMoLa introduces a four-dimensional geometric prediction objective in motion latent learning, significantly improving manipulation performance. It uses single-view RGB-D input, avoiding the computational cost of multi-view reconstruction.

Novelty

GeoMoLa is the first to learn motion latents by predicting point cloud evolution rather than visual observations, emphasizing the importance of geometric prediction in manipulation.

Limitations

  • GeoMoLa may have limitations in dynamic environments as it assumes the environment is static over short periods.
  • The accuracy of geometric predictions may be challenged in complex multi-object scenes.

Future Work

Future research could explore GeoMoLa's application in dynamic environments and integrate multi-modal data to enhance geometric prediction accuracy in complex scenes.

AI Executive Summary

GeoMoLa learns discrete motion latent codes by predicting how point clouds evolve during manipulation, rather than reconstructing visual observations. This method achieves state-of-the-art performance using only single-view RGB-D input, outperforming existing methods that require multi-view reconstruction. Ablation studies confirm that geometric prediction is key to performance improvement, quantitatively validating that manipulation depends on spatial understanding.

GeoMoLa demonstrates robustness in real-world environments, particularly excelling in cluttered scenarios with minimal demonstrations. This approach shows a new way of learning effective motion latents for robotic control by understanding motion through three-dimensional effects rather than pixel-level patterns.

However, GeoMoLa may have limitations in dynamic environments as it assumes the environment is static over short periods. Future research could explore its application in dynamic environments and integrate multi-modal data to enhance geometric prediction accuracy in complex scenes.

Deep Analysis

Background

Robotic manipulation requires learning reusable motion patterns—motion latents—that abstract complex continuous movements into discrete, transferable skills. Current methods mainly learn these motion latents from sequences of two-dimensional images, missing the three-dimensional geometric structure that fundamentally determines manipulation success.

Core Problem

Existing methods lack understanding of the three-dimensional geometric structure when learning motion latents, leading to difficulties in generalizing across different viewpoints, object poses, or spatial arrangements.

Innovation

GeoMoLa learns motion latents by predicting point cloud evolution during manipulation rather than reconstructing visual observations, emphasizing the importance of geometric prediction in manipulation.

Methodology

  • �� Use single-view RGB-D input for geometric prediction
  • �� Self-supervised learning to predict future 3D point cloud states
  • �� Capture motion patterns using discrete motion latent codes
  • �� Validate through real-world experiments

Experiments

Experiments conducted on RLBench and CALVIN benchmarks using single-view RGB-D input for training and testing. Ablation studies validate the critical role of geometric prediction.

Results

GeoMoLa achieves state-of-the-art performance on RLBench and CALVIN benchmarks, particularly excelling in cluttered scenarios with minimal demonstrations.

Applications

GeoMoLa can be applied in complex environments for robotic manipulation, especially in scenarios requiring precise spatial reasoning.

Limitations & Outlook

GeoMoLa may have limitations in dynamic environments as it assumes the environment is static over short periods.

Plain Language Accessible to non-experts

Imagine a robot working in a kitchen. Traditional methods teach the robot to learn how to grasp objects by looking at 2D pictures of the kitchen, but this ignores the 3D shapes and positions of objects. GeoMoLa is like giving the robot a 3D map, allowing it to predict how objects change as they move, thus better understanding how to grasp and move objects.

ELI14 Explained like you're 14

Imagine you're playing a robot game. You need to teach your robot how to grab and move objects in a room. Traditional methods are like giving the robot a floor plan, while GeoMoLa is like giving it a 3D map, so it can see the shapes and positions of objects change and complete tasks more smartly!

Glossary

Motion Latents

A way to abstract complex continuous movements into discrete, transferable skills.

Used to capture motion patterns in robotic manipulation.

Point Cloud

A collection of 3D coordinates used to represent the shape of an object.

Used to predict geometric changes during manipulation.

Self-Supervised Learning

A learning method that does not require manually labeled data, training through the structure of the data itself.

Used to train GeoMoLa's motion latents.

Geometric Prediction

Understanding motion by predicting changes in the 3D shape of objects.

A core innovation of GeoMoLa.

Single-View RGB-D Input

Using RGB and depth information from a single viewpoint as input.

The input method used in GeoMoLa's experiments.

Open Questions Unanswered questions from this research

  • 1 How to improve GeoMoLa's geometric prediction accuracy in dynamic environments?
  • 2 How to integrate multi-modal data to enhance manipulation performance in complex scenes?

Applications

Immediate Applications

Industrial Robot Manipulation

In complex industrial environments, GeoMoLa can be used to improve the precision of robot grasping and moving objects.

Long-term Vision

Smart Home Robots

GeoMoLa can be used to develop robots capable of autonomously completing tasks in home environments.

Abstract

Learning motion latents for robotic manipulation heavily relies on extracting motion patterns from visual sequences, yet effective action abstractions require understanding three-dimensional geometric transformations. Here, we introduce GeoMoLa (Geometry-Aware Motion Latents), which learns discrete motion latent codes by predicting how point clouds evolve during manipulation rather than reconstructing visual observations. This four-dimensional objective -- spatial geometry changing through time -- forces latent representations to encode actual physical motion rather than appearance patterns. GeoMoLa achieves state-of-the-art performance using only single-view RGB-D input, while existing methods require multi-view reconstruction, succeeding across diverse manipulation benchmarks. Our ablations reveal that geometric prediction is the key to driving performance, quantitatively validating that manipulation depends on spatial understanding. Furthermore, the learned codes exhibit effective motion abstraction: applying them to novel scenes produces physically consistent transformations regardless of visual context. Our real-world experiments also confirm this robustness capability, achieving robust manipulation with minimal demonstrations in cluttered environments where geometric reasoning determines success. Thus, we demonstrate that effective motion latents for robot control can better emerge from understanding motion through its three-dimensional effects rather than pixel-level patterns.

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