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Geometry-aware RL for Manipulation of Varying Shapes and Deformable Objects

ICLR 2025 · Reinforcement learning › Visual and representation RL · approach: Dexterous manipulation transfer · 0 citations (OpenAlex)

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Proposes HEPi, an SE(3)-equivariant heterogeneous graph policy (built on PONITA-style EMPN) trained with TRPL on a new suite of seven rigid and deformable manipulation tasks in IsaacLab, outperforming Transformer and homogeneous EMPN baselines.

Problem

Reinforcement learning for manipulating rigid objects with varying geometries and deformable objects (rope, cloth) where initial and target configurations are sampled uniformly in 3D, creating large search spaces that generalize poorly across poses.

Approach

Model manipulation as a heterogeneous graph with separate actuator and object sub-graphs, use SE(3)-equivariant message passing with type-specific kernels for each edge type, and aggregate object information to actuators via a virtual-node-style global update, optimized with trust-region projection layers instead of PPO.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use HEPi instead of TransformerManipulation tasks · Rigid-Insertion-Two-Agents-3Daverage returnHelped
Use HEPi instead of EMPNManipulation tasks · Rigid-Pushing-2Daverage returnHelped
Use HEPi instead of EMPNManipulation tasks · Rigid-Insertion-Two-Agents-3Daverage returnHelped
Use HEPi instead of TransformerManipulation tasks · Rope-Closing and Rope-ShapinggeneralizationHelped
Use HEPi instead of EMPNManipulation tasks · Rope-Closing and Rope-Shapingaverage returnNo clear effect
Use HEPi instead of Transformer and EMPNManipulation tasks · Cloth-Hanging-3Daverage returnHelped
Use heterogeneous models instead of homogeneous modelsCloth-Hanging policies · Cloth-Hangingfinal returnHelped
Use EMPN with HEPi instead of HeteroGNNCloth-Hanging policies · Cloth-Hangingsample efficiencyHelped
Train on a smaller sample spaceCloth-Hanging policies · Cloth-Hangingfinal returnHelped
Add attention as the aggregation function (ablation)Homogeneous and heterogeneous graph networks · Manipulation tasksperformanceNo clear effect
Add attention as the aggregation function (ablation)HEPi · Manipulation taskstraining time: almost doubledHurt
Use TRPL instead of PPO (ablation)HEPi and Transformer policies · Cloth-Hanging-3Dtraining stabilityHelped

Surprising findings

Limitations

Experimental setup

Datasets: LASA dataset

Benchmarks: Rigid-Sliding Rigid-Pushing Rigid-Insertion Rigid-Insertion-Two-Agents Rope-Closing Rope-Shaping Cloth-Hanging

Metrics: undiscounted return interquartile mean with 95% CI sample efficiency generalization to unseen objects

Baselines: Transformer policy EMPN HeteroGNN naive GNN PPO GAT

Builds on: PONITA Trust Region Projection Layers PPO MPNN + virtual node DeepSets

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