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The Collision Model Learned Where False Safety Hurts

A differentiable distance field puts extra training weight on sign errors near the boundary between clearance and contact.

Published Updated Story ID: mp-2026-10-11-006
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Summary

A differentiable distance field puts extra training weight on sign errors near the boundary between clearance and contact.

PI-UDF combines analytical forward kinematics, learned link-geometry embeddings and a shared residual network to predict distances between articulated robot bodies. Its training procedure mines samples near the collision boundary and penalizes false-safe sign errors asymmetrically. The resulting field becomes a differentiable clearance term inside nonlinear model-predictive control. Tests included a real dual-Franka platform performing close-proximity 14-degree-of-freedom arm swaps and dynamic evasion, plus offline replay against established geometry tools. The paper presents evidence that the estimator is useful for closed-loop planning; it does not replace certified collision checking or prove safety outside the tested configurations.

Why it matters

A differentiable distance field puts extra training weight on sign errors near the boundary between clearance and contact.

Limits and context

  • The paper presents evidence that the estimator is useful for closed-loop planning; it does not replace certified collision checking or prove safety outside the tested configurations.

Key claims

  1. A differentiable distance field puts extra training weight on sign errors near the boundary between clearance and contact.

    Qualification: The paper presents evidence that the estimator is useful for closed-loop planning; it does not replace certified collision checking or prove safety outside the tested configurations.

    Evidence: source-2026-10-11-006

Sources

  1. arXiv preprint 2610.12404, original v1arXiv / submitting research authors · primary research

Corrections

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