arXiv AI

PolyFlow: Safe and Efficient Polytope-Constrained Flow Matching with Constraint Embedding and Projection-free Update

arXiv:2606. 13400v1 Announce Type: cross Abstract: While flow-based generative models have demonstrated strong performance across a wide range of domains, deploying them in safety-critical physical systems remains challenging due to strict constraint requirements.

arXiv Machine Learning
Sep 16

Learning efficient representations of complex constraints for scalable optimization

The paper introduces PolyFormer, a physics-informed machine learning framework that learns compact polytopic representations of complex constraints. By transforming constraint-induced geometry into efficient polytopic reformulations, PolyFormer reduces optimization complexity and enables the use of standard solvers. Evaluations on large‑scale resource aggregation, network‑constrained optimization, and uncertainty‑aware optimization show up to 6,400‑fold speedups and 99.87% memory savings while keeping feasibility and objective errors low.

By Yilin Wen, Yi Guo, Bo Zhao, Wei Qi, Zechun Hu, Colin Jones, Jian Sun
Hugging Face Trending Papers
Aug 7

Flow-Corrected Shape Optimization: Taming Manifold Drift in High-Dimensional 3D Models

Optimizing 3D shapes within the latent spaces of deep generative models is fundamental to computer assisted engineering, yet remains prone to a critical failure mode we term manifold drift: the tendency of gradient-based optimization to move latent vectors away from the manifold of valid shapes. This problem is exacerbated in state-of-the-art 3D shape generative models that operate in increasingly high-dimensional latent spaces where valid shapes occupy a vanishingly small fraction of the full space.

arXiv Machine Learning
1d ago

Safe Streaming Flow Planning by Aligning Sampling Dynamics with Execution Dynamics

SafeStreamingFlow is a goal‑conditioned planner that aligns flow sampling dynamics with execution dynamics by sequentially integrating a learned state vector field with hierarchical state prediction. It enforces safety constraints only for the executed step using high‑order control barrier functions, reducing planning latency and improving safety compared to prior safe diffusion/flow planners. The method demonstrates competitive goal‑reaching success across navigation, racing, and locomotion benchmarks.

By Seunghwan Jang, Jeongyong Yang, Siddharth Ancha, SooJean Han
arXiv Machine Learning
Jul 17

Trajectory-Aware Flow Matching for Topology Optimisation

arXiv:2607. 14652v1 Announce Type: new Abstract: Topology optimisation (TO) often requires repeated finite element analysis and sensitivity-based material updates, which can be costly when multiple candidate designs are needed under varying physical and design conditions.

By Shusheng Xiao, Jinshuai Bai, Hyogu Jeong, Yunfei Xi, Yilin Gui, YuanTong Gu
arXiv Machine Learning
4d ago

PMosFM: Preconditioned Manifold Matching for One-Step Physics-Constrained Generation

PMosFM introduces a preconditioned manifold matching framework that enables one‑step physics‑constrained generation by encoding constraints in a manifold decoder. The method learns transport in intrinsic coordinates, eliminating the need for residual losses or trajectory unrolling, and employs a geometric preconditioner and covariance transform to improve conditioning. Experiments demonstrate reduced training and sampling time compared to multi‑step baselines while maintaining comparable physical and distributional fidelity.

By Zhangyong Liang, Haibin Ling