arXiv Machine Learning By Xiangyu Sun, Shirin Hosseinmardi, Ramin Bostanabad

Scalable Stress-Constrained Topology Optimization: A Super-resolution and Simultaneous Approach Based on Machine Learning

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The paper introduces the simultaneous neural topology optimization (SNTO) framework, which uses custom neural networks to jointly represent state, adjoint, and design variables in a single optimization loop. SNTO incorporates a multi-component loss function that balances design objectives, aggregated stress constraints, and potential energy, and employs a hardware‑aware training scheme that partitions the design domain across multiple GPUs to handle millions of degrees of freedom. Validation on 2D benchmarks shows super‑resolution designs with sharper boundaries and lower volume fractions, while large‑scale 3D tests demonstrate scalability to eight million collocation points on eight GPUs.

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arXiv Machine Learning
5d ago

Scalable Stress-Constrained Topology Optimization: A Simultaneous Approach Based on Machine Learning

The paper introduces SNTO, a simultaneous neural topology optimization framework that represents state, adjoint, and design variables with custom neural networks optimized in a single loop. It employs a hardware‑aware training scheme that partitions the design domain across multiple GPUs and slices subdomains to manage memory, enabling stress‑constrained topology optimization at millions of degrees of freedom. Experiments on 2D benchmarks show sharper boundaries and reduced gray areas compared to finite element methods, while 3D problems with up to eight million points are solved efficiently on eight GPUs.

By Xiangyu Sun, Shirin Hosseinmardi, Ramin Bostanabad
arXiv AI
Sep 24

KATOsuper: Surrogate-accelerated neural topology optimization with sensitivity-consistent Fourier neural operators

KATOsuper is an objective‑agnostic framework that accelerates neural topology optimization by coupling neural‑reparameterized TO with a Sensitivity‑Consistent Fourier Neural Operator (SC‑FNO). It uses a forward_split architecture to ensure that sensitivities derived via automatic differentiation remain consistent with predicted objectives, enabling stable optimization. The method demonstrates significant deployment‑time speedups (15–110×) over MATLAB baselines while preserving optimality across 2D and 3D benchmark problems, including compliance and stress minimization, and supports zero‑shot extrapolation to higher resolutions.

By Shengyu Yan, Jasmin Jelovica
arXiv Machine Learning
Oct 16

The importance of tensor handling and implementation of physics-informed DeepONets

The paper presents a modified physics-informed DeepONet (PI-DeepONet) architecture that reduces computational cost by eliminating redundancy in the Branch network’s handling of input functions across collocation points. The new formulation is mathematically equivalent to the original but uses smaller input tensors and fewer network evaluations, leading to faster training while maintaining comparable predictive accuracy on 1D, 2D, and 3D linear advection problems. Experiments show up to a 3.75× speed‑up in 2D and enable feasible training of 3D models on an NVIDIA A100 GPU, where the original architecture fails due to memory limits.

By Nahum Banks, Gustavo A. M. de Almeida, Sergio Maldonado