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Diffusion-EDFs: Bi-equivariant Denoising Generative Modeling on SE(3) for Visual Robotic Manipulation

CVPR 2024 · Image generation › Autoregressive and latent generation · approach: Diffusion planning and policies · 23 citations (OpenAlex)

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Proposes Diffusion-EDFs, an SE(3) bi-equivariant diffusion generative policy on point clouds that learns visual manipulation from 5-10 demonstrations in under an hour.

Problem

Visual robotic manipulation from stochastic human demonstrations needs data-efficient, generalizable 6-DoF policies; prior diffusion SE(3) methods need many demos and EDFs are slow to train (>10 hours) and have small receptive fields.

Approach

Combines SE(3) bi-equivariant score matching on the Lie group with a Brownian diffusion kernel, a contact-based diffusion origin selection mechanism, and a U-Net-like multiscale Equiformer-based EDF score model, enabling fast end-to-end training without pretraining or object segmentation.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Diffusion-EDFs instead of R-NDFsSimulation pick-and-place · Unseen instances, poses, and clutters, mugtotal success rate: 0.53 -> 0.79Helped
Use Diffusion-EDFs instead of SE(3)-Diffusion FieldsSimulation pick-and-place · Unseen instances, poses, and clutters, mugtotal success rate: 0.03 -> 0.79Helped
Use Diffusion-EDFs instead of R-NDFsSimulation pick-and-place · Unseen instances, poses, and clutters, bottletotal success rate: 0.72 -> 0.87Helped
Use Diffusion-EDFs instead of SE(3)-Diffusion FieldsSimulation pick-and-place · Unseen instances, poses, and clutters, bottletotal success rate: 0.00 -> 0.87Helped
Replace EDF energy-based training with diffusion-based trainingDiffusion-EDFs · Training timetraining speed: ×15 fasterHelped

Surprising findings

Limitations

Experimental setup

Datasets: human demonstrations (10 per task in simulation; 4-10 real)

Benchmarks: simulated mug and bottle pick-and-place under unseen instances, poses, clutters

Metrics: pick-and-place success rate

Baselines: R-NDFs SE(3)-Diffusion Fields

Builds on: Equivariant Descriptor Fields SE(3)-Diffusion Fields Equiformer Annealed Langevin MCMC

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