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Paper · arXiv

Conditional Flow Matching for ML-Based Inverse Design Problems

Engineering inverse design is often limited by the high computational cost of iterative solvers for optimization problems constrained by partial differential equations (PDEs) and by their sensitivity to initialization. Deep generative models can produce candidate designs without rerunning the simulator at inference time. Generative adversarial networks (GANs) sample in one forward pass, whereas diffusion models require iterative reverse-time integration. In this work, we add conditional flow matching (CFM) to EngiOpt and compare it with a conditional diffusion model and a conditional generative adversarial network (cGAN) on structural (beams2d) and thermal (heatconduction2d) benchmarks fr...

AuthorsJuliana Felder, Milad Habibi, Soheyl Massoudi et al.
Primary categorycs.LG
Published1 September 2026
Last updated at source1 September 2026
cs.LG
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