arXiv AI By Ricardo Luna Gutierrez, Vineet Gundecha, Rahman Ejaz, Varchas Gopalaswamy, Riccardo Betti, Sahand Ghorbanpour, Aarne Lees, Soumyendu Sarkar

End-to-End Differentiable Diffusion Conditioning for Physics-Informed Optimization

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The paper introduces Differentiable Diffusion Conditioning (D2C), an offline model‑based optimization approach that turns a frozen conditional diffusion model into a gradient‑based optimizer. By making the reverse denoising chain differentiable with respect to conditioning signals, D2C optimizes conditioning variables using gradients from surrogate objectives and physics‑informed penalties. The method is evaluated on laser pulse optimization for inertial confinement fusion, sustainable data‑center workload scheduling, and four Design‑Bench tasks, achieving top results on the real‑world tasks and the best average rank across the benchmarks.

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arXiv Machine Learning
Oct 5

Learn Feasibility Once, Optimize All Objectives: Derivative-Free Diffusion Models for Chance-Constrained Programming

The paper introduces D$^3$Opt, a derivative‑free diffusion‑based framework that separates constraint modeling from objective optimization in chance‑constrained programs. It learns a risk‑conditioned diffusion model once on constraint‑filtered decisions, then uses an annealed, particle‑based Feynman–Kac correction to optimize any post‑specified objective without retraining. The method is proven to preserve feasibility and provides an error bound, and experiments show effective optimization across smooth, non‑smooth, and non‑convex objectives, including objective transfer tasks.

By Ziwen Liu, Yan Liu, Congying Han, Tiande Guo, Yao Yan, Weichen Zhao