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  2. Diffeomorph: Learning To Morph 3d Shapes Using Differentiable Agent-based Simulations.
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  2. Diffeomorph: Learning To Morph 3d Shapes Using Differentiable Agent-based Simulations.

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DiffeoMorph: Learning to Morph 3D Shapes Using Differentiable Agent-Based Simulations.

Seong Ho Pahng, Guoye Guan, Benjamin Fefferman

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    View abstract on PubMed

    Summary
    This summary is machine-generated.

    DiffeoMorph enables agents to collectively form complex 3D shapes using a novel differentiable framework. This approach advances developmental biology, robotics, and multi-agent learning by learning morphogenesis protocols.

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    Area of Science:

    • Computational Biology
    • Robotics
    • Artificial Intelligence

    Background:

    • Biological systems exhibit complex 3D structures formed by collective agent behavior without central control.
    • Understanding distributed control in morphogenesis is crucial for developmental biology, robotics, and multi-agent learning.

    Purpose of the Study:

    • Introduce DiffeoMorph, a differentiable framework for learning morphogenesis protocols.
    • Enable a population of agents to collectively form a target 3D shape.

    Main Methods:

    • Utilize an attention-based SE(3)-equivariant graph neural network for agent position and state updates.
    • Employ a novel shape-matching loss based on 3D Zernike polynomials for continuous shape comparison.
    • Implement an alignment step with implicit differentiation for SO(3) invariance.

    Main Results:

    • Demonstrate the superiority of the 3D Zernike polynomial loss over standard metrics.
    • Showcase DiffeoMorph's ability to generate diverse 3D shapes from simple to complex morphologies.
    • Validate the framework's effectiveness using minimal spatial cues.

    Conclusions:

    • DiffeoMorph provides an effective end-to-end differentiable framework for learning collective shape formation.
    • The developed shape-matching loss and gradient computation methods are robust and efficient.
    • This work offers a promising approach for designing self-organizing systems in biology and artificial intelligence.