Residual Rotation Correction using Tactile Equivariance

TL;DR

EquiTac leverages SO(2) symmetry to enhance sample efficiency in tactile policy learning, significantly reducing training samples.

cs.RO 🔴 Advanced 2025-11-11 7 views
Yizhe Zhu Zhang Ye Boce Hu Haibo Zhao Yu Qi Dian Wang Robert Platt
tactile learning symmetry robotics sample efficiency real-time correction

Key Findings

Methodology

EquiTac framework exploits SO(2) symmetry by reconstructing surface normal maps to improve sample efficiency in tactile policy learning. It includes an SO(2)-equivariant network that predicts residual rotation actions to enhance a base visuomotor policy at test time, enabling real-time rotation correction.

Key Results

  • On a real robot, EquiTac achieves robust zero-shot generalization to unseen in-hand orientations with far fewer training samples than baseline methods.
  • In four daily tasks, EquiTac significantly outperforms baselines in success rate under initial orientation variations and external disturbances.
  • Ablation studies show that removing normal maps or SO(2) equivariance significantly reduces angular estimation accuracy.

Significance

This study significantly improves sample efficiency and generalization in tactile policy learning by introducing tactile equivariance. It addresses the high cost of tactile data collection, providing a more reliable solution for contact-rich robotic tasks.

Technical Contribution

EquiTac is the first to introduce SO(2) equivariance into tactile learning, achieving real-time rotation correction through surface normal map reconstruction and equivariant networks. This method differs from existing vision-centric strategies, offering new engineering possibilities.

Novelty

This is the first method to explicitly encode tactile equivariance for policy learning, leveraging in-hand object rotation symmetry to improve sample efficiency and generalization.

Limitations

  • The current method only exploits rotational symmetry relative to the gripper, not translations.
  • The cost of collecting multimodal data is high, limiting scalability.

Future Work

Future work will extend EquiTac to capture more complex object motions and utilize tactile simulation to further enhance generalization and robustness.

AI Executive Summary

As robots increasingly rely on touch for precise contact operations, developing visuotactile policies has become a key challenge in robotic manipulation. Existing vision-centric strategies face data constraints when extended to tactile sensing. The EquiTac framework leverages SO(2) symmetry of in-hand object rotation to improve sample efficiency and generalization. It reconstructs surface normal maps from raw RGB inputs of vision-based tactile sensors and uses an SO(2)-equivariant network to predict residual rotation actions, enhancing a base visuomotor policy at test time for real-time rotation correction. Experimental results show that EquiTac achieves robust zero-shot generalization to unseen in-hand orientations with far fewer training samples than baseline methods. This study provides a more reliable solution for contact-rich robotic tasks and points to future directions, such as extending EquiTac to capture more complex object motions and utilizing tactile simulation to further enhance generalization and robustness.

Deep Analysis

Background

As robotics technology advances, tactile sensing becomes increasingly important for precise contact operations. However, tactile signals are harder to scale than visual data, as collecting sufficient tactile interactions to cover diverse contact conditions is extremely expensive. Existing vision-centric strategies face data constraints when extended to tactile sensing, making sample efficiency crucial.

Core Problem

The core problem is how to improve sample efficiency in tactile policy learning given the high cost of tactile data collection. Existing methods largely rely on visual data and fail to fully exploit the symmetry in tactile signals, limiting their generalization in contact-rich tasks.

Innovation

The EquiTac framework leverages SO(2) symmetry of in-hand object rotation to improve sample efficiency and generalization. Its core innovations include reconstructing surface normal maps and using an SO(2)-equivariant network to predict residual rotation actions, enhancing a base visuomotor policy at test time for real-time rotation correction.

Methodology

  • �� Reconstruct surface normal maps: Reconstruct surface normal maps from raw RGB inputs of vision-based tactile sensors.
  • �� SO(2)-equivariant network: Use an SO(2)-equivariant network to predict residual rotation actions.
  • �� Real-time rotation correction: Enhance a base visuomotor policy at test time for real-time rotation correction.

Experiments

Experiments are conducted on a real robot to evaluate EquiTac's zero-shot generalization to unseen in-hand orientations. The experimental design includes four daily tasks, assessing success rates under initial orientation variations and external disturbances.

Results

Experimental results show that EquiTac achieves robust zero-shot generalization to unseen in-hand orientations with far fewer training samples than baseline methods. In four daily tasks, EquiTac significantly outperforms baselines in success rate under initial orientation variations and external disturbances.

Applications

EquiTac can be applied in robotic tasks requiring precise contact operations, such as assembly, sorting, and grasping. Its high sample efficiency and generalization make it highly applicable in industrial automation.

Limitations & Outlook

The current method only exploits rotational symmetry relative to the gripper, not translations. Additionally, the cost of collecting multimodal data is high, limiting scalability. Future work will extend EquiTac to capture more complex object motions and utilize tactile simulation to further enhance generalization and robustness.

Plain Language Accessible to non-experts

Imagine you're in a kitchen cooking, and you need to constantly adjust the position of the pan to ensure even heating. EquiTac is like a smart assistant that senses the pan's position through touch and automatically adjusts it when you're not paying attention, ensuring the food doesn't burn. It senses the pan's rotation direction and makes real-time tweaks to keep everything under control.

ELI14 Explained like you're 14

Hey there! Imagine you're playing a block stacking game, and you need to place the blocks in the right spot. EquiTac is like a super-smart helper that senses where the block is and automatically adjusts it if you accidentally place it wrong. This way, you can easily finish the game without worrying about the blocks toppling over! Isn't that cool?

Glossary

SO(2) Symmetry

SO(2) symmetry refers to two-dimensional rotational symmetry, where an object remains unchanged when rotated in a plane.

Used in EquiTac to improve sample efficiency in tactile policy learning.

Surface Normal Map

A surface normal map is an image representing the direction of surface normals, used to describe an object's geometry.

Used to reconstruct tactile sensor inputs for rotation consistency.

Equivariant Network

An equivariant network is a neural network structure that maintains consistent output when input data undergoes symmetric transformations.

Used to predict residual rotation actions for real-time correction.

Residual Rotation Action

A residual rotation action is a supplement to the base policy, used to correct rotational errors of in-hand objects.

Enhances the base visuomotor policy in EquiTac.

Zero-Shot Generalization

Zero-shot generalization refers to a model's ability to apply learned knowledge successfully under unseen conditions.

Achieved by EquiTac for unseen in-hand object orientations.

Open Questions Unanswered questions from this research

  • 1 How can we further improve generalization in tactile policy learning without increasing data collection costs?
  • 2 How can we capture more complex object motions based on multimodal data?

Applications

Immediate Applications

Industrial Automation

EquiTac can be used in assembly tasks in industrial automation, improving efficiency and precision.

Robotic Grasping

In robotic grasping tasks, EquiTac can adjust grasping strategies in real-time to ensure stability.

Long-term Vision

Smart Homes

EquiTac can be applied in smart home automation tasks, such as sorting and organizing.

Abstract

Visuotactile policy learning augments vision-only policies with tactile input, facilitating contact-rich manipulation. However, the high cost of tactile data collection makes sample efficiency the key requirement for developing visuotactile policies. We present EquiTac, a framework that exploits the inherent SO(2) symmetry of in-hand object rotation to improve sample efficiency and generalization for visuotactile policy learning. EquiTac first reconstructs surface normals from raw RGB inputs of vision-based tactile sensors, so rotations of the normal vector field correspond to in-hand object rotations. An SO(2)-equivariant network then predicts a residual rotation action that augments a base visuomotor policy at test time, enabling real-time rotation correction without additional reorientation demonstrations. On a real robot, EquiTac accurately achieves robust zero-shot generalization to unseen in-hand orientations with very few training samples, where baselines fail even with more training data. To our knowledge, this is the first tactile learning method to explicitly encode tactile equivariance for policy learning, yielding a lightweight, symmetry-aware module that improves reliability in contact-rich tasks.

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