CoRL 2025 Oral Presentation

Decentralized intelligence for cooperative robots

Latent Theory of Mind

A Decentralized Diffusion Architecture for Cooperative Manipulation

Robots learn a shared latent understanding of one another—coordinating complex manipulation with or without explicit communication.

Chengyang He1,2 Gadiel Sznaier Camps2 Xu Liu2 Mac Schwager2 Guillaume Sartoretti1

1 National University of Singapore    2 Stanford University

Hardware demonstration
02 robots 01 shared intent
Stanford University National University of Singapore Multi-Agent Robotic Motion Lab Multi-robot Systems Lab

The idea

Coordination through a latent theory of mind

Each robot models what its partner knows, building alignment from different viewpoints without sacrificing decentralized control.

LatentToM overview showing ego and consensus embeddings for two robots
Each agent learns a private ego embedding and a shared consensus embedding.

Abstract

LatentToM is a decentralized diffusion policy for collaborative robot manipulation. Each robot maintains an ego embedding specific to its observations and a consensus embedding trained to align across agents. A decoder infers the other robot’s ego state from that shared representation—forming a theory of mind in latent space.

A sheaf-inspired cohomology loss shapes the consensus space during centralized training. At execution time, policies run locally and coordinate through observation alone, or exchange one compact embedding per inference step for sheaf-Laplacian consensus repair.

Tested on real bi-manual manipulation, LatentToM shows performance comparable to a centralized policy while remaining robust to temporary robot failures and delays.
01

Decentralized by design

Each robot acts from its own perception and computation, without relying on a central controller.

02

Shared latent intent

Sheaf-consistent consensus embeddings let agents align despite different poses and sensor streams.

03

Flexible communication

Coordination works implicitly through observation, with optional lightweight communication for repair.

The method

Learn together. Act independently.

Centralized training gives each policy a common language; decentralized execution turns that language into coordinated action.

01 / Training

Sheaf-consistent representation learning

A first-order cohomology loss aligns consensus embeddings across robots. Theory-of-Mind reconstruction and directional consensus constraints preserve the representation’s structure and expressiveness.

Diffusion policyCohomology lossLatent ToM

02 / Inference

Lightweight consensus repair

When communication is available, one exchange per inference step lets a sheaf-Laplacian update bring local consensus embeddings closer together. The adjustment is lightweight, model-agnostic, and requires no retraining.

One exchangeOnline alignmentNo retraining
Sheaf Laplacian consensus repair between two robot embeddings

Hardware experiments

Real robots, coupled decisions

We evaluate coordination under asymmetric dynamics, visual shifts, and tightly coupled timing constraints.

Two robot arms performing the constrained Push-T task
Task 01

Orientation-constrained Push-T

Two arms must move a T-block while preserving its orientation—even when the underside creates asymmetric, out-of-distribution friction.

Two robot arms collaboratively pouring coffee beans
Task 02

Coffee bean pouring

The arms must infer one another’s intent, coordinate the pour, avoid spillage, and return safely without a fixed target pose.

Task 01

Robust coordination under asymmetric dynamics

LatentToM better preserves the block’s target pose than naive decentralized baselines, while sheaf-Laplacian communication improves alignment further.

Push-T result comparison for centralized, decentralized, and LatentToM policies
Centralized DP
Naive decentralized
Naive + consensus
LatentToM · rollout 1
LatentToM · rollout 2
LatentToM · rollout 3

Task 02

Timing, intention, and a safe return

Consensus alignment reduces spillage and helps both arms complete the interaction by returning to a safe resting pose.

Coffee-pouring rollout comparison across five policies
Representative hardware rollouts

The team

Meet the people behind LatentToM

A collaboration between Stanford MSL and NUS MARMoT.

Watch the work

LatentToM, end to end

See the architecture, training objectives, and real-world evaluation in the full project video.

Publication

CoRL 2025 Oral Presentation

Cite LatentToM

Latent Theory of Mind: A Decentralized Diffusion Architecture for Cooperative Manipulation.

BibTeX
@article{he2025latent,
  title={Latent theory of mind: A decentralized diffusion architecture for cooperative manipulation},
  author={He, Chengyang and Camps, Gadiel Sznaier and Liu, Xu and Schwager, Mac and Sartoretti, Guillaume},
  journal={arXiv preprint arXiv:2505.09144},
  year={2025}
}

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