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Preprint Oct 2026

Agent4FreeFem: A Verification-Guided Framework for Autonomous Topology Optimization

Topology optimization has become an indispensable design tool in the aerospace, automotive, and mechanical engineering industries. Yet bringing a new problem from its description to an optimized result remains slow, expert-dependent, and unreliable: the workflow spans many manually connected stages, each new problem re...

Zhi-Pu Cui, He-Lin Gong, Sheng-Feng Zhu · 0 citations

SHAKE-GNN: Scalable Hierarchical Kirchhoff-Forest Graph Neural Network

This work introduces SHAKE-GNN, a novel scalable graph-level GNN framework based on a hierarchy of Kirchhoff Forests, a class of random spanning forests used to construct stochastic multi-resolution decompositions of graphs, enabling flexible trade-offs between efficiency and performance.

Zhipu Cui, J. Lutzeyer · 0 citations

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