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Inverse design is a common yet challenging engineering problem, particularly for nonlinear functional responses such as mechanical behavior or spectral analysis. Deep generative models are motivated by intractability, non-existence or…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Haoxuan Dylan Mu , Mingjian Tang , Wei Gao , Wei "Wayne" Chen

We present a generative modeling framework for synthesizing physically feasible two-dimensional incompressible flows under arbitrary obstacle geometries and boundary conditions. Whereas existing diffusion-based flow generators either ignore…

Fluid Dynamics · Physics 2026-02-23 Noah Trupin , Rahul Ghosh , Aadi Jangid

Electronic topological phases of matter, characterized by robust boundary states derived from topologically nontrivial bulk states, are pivotal for next-generation electronic devices. However, understanding their complex quantum phases,…

Strongly Correlated Electrons · Physics 2025-03-18 Xiang Li , Yixiao Chen , Bohao Li , Haoxiang Chen , Fengcheng Wu , Ji Chen , Weiluo Ren

The rise of machine learning has fueled the discovery of new materials and, especially, metamaterials--truss lattices being their most prominent class. While their tailorable properties have been explored extensively, the design of…

Computational Engineering, Finance, and Science · Computer Science 2024-04-17 Li Zheng , Konstantinos Karapiperis , Siddhant Kumar , Dennis M. Kochmann

Recent deep learning approaches seek to automate CAD creation by representing a model as a sequence of discrete commands and parameters, and then generating them using autoregressive models or continuous diffusion operating in Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Honghu Pan , Xiaoling Luo , Yongyong Chen , Zhenyu He , Pengyang Wang

Recent advancements in graph representation learning have shifted attention towards dynamic graphs, which exhibit evolving topologies and features over time. The increased use of such graphs creates a paramount need for generative models…

Machine Learning · Computer Science 2024-12-23 Ryien Hosseini , Filippo Simini , Venkatram Vishwanath , Henry Hoffmann

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Generative deep learning systems offer powerful tools for artefact generation, given their ability to model distributions of data and generate high-fidelity results. In the context of computational creativity, however, a major shortcoming…

Machine Learning · Computer Science 2021-07-13 Terence Broad , Sebastian Berns , Simon Colton , Mick Grierson

We provide a data structure for maintaining an embedding of a graph on a surface (represented combinatorially by a permutation of edges around each vertex) and computing generators of the fundamental group of the surface, in amortized time…

Data Structures and Algorithms · Computer Science 2007-05-23 David Eppstein

Urban wind flow modeling and simulation play an important role in air quality assessment and sustainable city planning. A key challenge for modeling and simulation is handling the complex geometries of the urban landscape. Low order models…

Machine Learning · Computer Science 2025-12-18 Francisco Giral , Álvaro Manzano , Ignacio Gómez , Petros Koumoutsakos , Soledad Le Clainche

Topological photonics enables robust light manipulation with third-order optical nonlinearity, yet integrating second-order optical nonlinearity into a topological system faces fundamental challenges: frequency-dependent topological…

Optics · Physics 2025-06-30 Ruoyu Wang , Yiming Pan , Xiaoqin Shen

Deep generative models for engineering design often require substantial computational cost, large training datasets, and extensive retraining when design requirements or datasets change, limiting their applicability in real-world…

Machine Learning · Computer Science 2026-02-04 Ke Wang , Yifan Tang , Nguyen Gia Hien Vu , Faez Ahmed , G. Gary Wang

Traditional iterative reconstruction methods are accurate but computationally expensive, limiting their use in high-throughput and real-time ptychography. Recent deep learning approaches improve speed, but often predict phase as a Euclidean…

Image and Video Processing · Electrical Eng. & Systems 2026-04-30 Carson Yu Liu , Jun Cheng , Chien-Chun Chen , Steve F. Shu

Automated floor plan generation lies at the intersection of combinatorial search, geometric constraint satisfaction, and functional design requirements -- a confluence that has historically resisted a unified computational treatment. While…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Mohamed Abouagour , Eleftherios Garyfallidis

To create heterogeneous, multiscale structures with unprecedented functionalities, recent topology optimization approaches design either fully aperiodic systems or functionally graded structures, which compete in terms of design freedom and…

Computational Engineering, Finance, and Science · Computer Science 2022-04-05 Yu-Chin Chan , Daicong Da , Liwei Wang , Wei Chen

Designing metal-organic frameworks (MOFs) with novel chemistries is a longstanding challenge due to their large combinatorial space and complex 3D arrangements of the building blocks. While recent deep generative models have enabled…

Biomolecules · Quantitative Biology 2026-02-05 Nayoung Kim , Seongsu Kim , Sungsoo Ahn

Feature generation is a critical step in machine learning, aiming to enhance model performance by capturing complex relationships within the data and generating meaningful new features. Traditional feature generation methods heavily rely on…

Machine Learning · Computer Science 2025-05-29 Wanfu Gao , Zengyao Man , Zebin He , Yuhao Tang , Jun Gao , Kunpeng Liu

This article makes discrete masked models for the generative modeling of discrete data controllable. The goal is to generate samples of a discrete random variable that adheres to a posterior distribution, satisfies specific constraints, or…

Machine Learning · Computer Science 2024-10-04 Wei Guo , Yuchen Zhu , Molei Tao , Yongxin Chen

Constrained generative modeling is fundamental to applications such as robotic control and autonomous driving, where models must respect physical laws and safety-critical constraints. In real-world settings, these constraints rarely take…

Machine Learning · Computer Science 2026-03-10 Xiaoxuan Liang , Saeid Naderiparizi , Yunpeng Liu , Berend Zwartsenberg , Frank Wood

Generative systems are becoming a crucial part of current design practice. There exist gaps however, between the digital processes, field data and designer's input. To solve this problem, multiple processes were developed in order to…

Graphics · Computer Science 2023-12-22 Demircan Tas , Osman Sumer
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