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Deep generative models are universal tools for learning data distributions on high dimensional data spaces via a mapping to lower dimensional latent spaces. We provide a study of latent space geometries and extend and build upon previous…

Machine Learning · Computer Science 2019-02-07 Max F. Frenzel , Bogdan Teleaga , Asahi Ushio

Airfoil shape design is a classical problem in engineering and manufacturing. In this work, we combine principled physics-based considerations for the shape design problem with modern computational techniques using a data-driven approach.…

Graphics · Computer Science 2023-01-05 Zachary Grey , Olga Doronina , Andrew Glaws

This study evaluates the potential of generative models, trained on historical ERA5 reanalysis data, for simulating windstorms over the UK. Four generative models, including a standard GAN, a WGAN-GP, a U-net diffusion model, and a…

Atmospheric and Oceanic Physics · Physics 2025-01-28 Yee Chun Tsoi , Kieran M. R. Hunt , Len Shaffrey , Atta Badii , Richard Dixon , Ludovico Nicotina

Realistic human geometry generation is an important yet challenging task, requiring both the preservation of fine clothing details and the accurate modeling of clothing-body interactions. To tackle this challenge, we build upon Geometry…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Xiangjun Tang , Biao Zhang , Peter Wonka

Video generation models have progressed tremendously through large latent diffusion transformers trained with rectified flow techniques. Yet these models still struggle with geometric inconsistencies, unstable motion, and visual artifacts…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Orest Kupyn , Fabian Manhardt , Federico Tombari , Christian Rupprecht

Learning algorithms for implicit generative models can optimize a variety of criteria that measure how the data distribution differs from the implicit model distribution, including the Wasserstein distance, the Energy distance, and the…

Machine Learning · Statistics 2019-08-23 Leon Bottou , Martin Arjovsky , David Lopez-Paz , Maxime Oquab

Learning the distribution of data on Riemannian manifolds is crucial for modeling data from non-Euclidean space, which is required by many applications in diverse scientific fields. Yet, existing generative models on manifolds suffer from…

Machine Learning · Computer Science 2024-06-04 Jaehyeong Jo , Sung Ju Hwang

Diffusion models power leading generative AI, but when and how they memorize training data, especially on low-dimensional manifolds, remains unclear. We find memorization emerges gradually, not abruptly: as data become scarce, diffusion…

Constructing subsurface facies models that are geologically plausible and constrained by well facies is essential for analyzing sedimentary evolution, reservoir characterization, and flow simulation. Recent deep generative model-based…

Geophysics · Physics 2026-03-10 Minghui Xu , Suihong Song , Tapan Mukerji

The discovery of inorganic crystal structures with targeted properties is a significant challenge in materials science. Generative models, especially state-of-the-art diffusion models, offer the promise of modeling complex data…

Generative design has been growing across the design community as a viable method for design space exploration. Thermal design is more complex than mechanical or aerodynamic design because of the additional convection-diffusion equation and…

Machine Learning · Computer Science 2022-08-18 Hadi Keramati , Feridun Hamdullahpur

Creating graphic layouts is a fundamental step in graphic designs. In this work, we present a novel generative model named LayoutDiffusion for automatic layout generation. As layout is typically represented as a sequence of discrete tokens,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Junyi Zhang , Jiaqi Guo , Shizhao Sun , Jian-Guang Lou , Dongmei Zhang

By framing reinforcement learning as a sequence modeling problem, recent work has enabled the use of generative models, such as diffusion models, for planning. While these models are effective in predicting long-horizon state trajectories…

Diffusion models have emerged as the best approach for generative modeling of 2D images. Part of their success is due to the possibility of training them on millions if not billions of images with a stable learning objective. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Animesh Karnewar , Andrea Vedaldi , David Novotny , Niloy Mitra

Generative models based on diffusion have become the state of the art in the last few years, notably for image generation. Here, we analyse them in the high-dimensional limit, where data are formed by a very large number of variables. We…

Disordered Systems and Neural Networks · Physics 2023-10-31 Giulio Biroli , Marc Mézard

Accurately predicting 3D occupancy grids from visual inputs is critical for autonomous driving, but current discriminative methods struggle with noisy data, incomplete observations, and the complex structures inherent in 3D scenes. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Yunshen Wang , Yicheng Liu , Tianyuan Yuan , Yingshi Liang , Xiuyu Yang , Honggang Zhang , Hang Zhao

Recent advances in deep learning have enabled the generation of realistic data by training generative models on large datasets of text, images, and audio. While these models have demonstrated exceptional performance in generating novel and…

Materials Science · Physics 2024-06-17 Izumi Takahara , Kiyou Shibata , Teruyasu Mizoguchi

Diffusion-based motion planners are becoming popular due to their well-established performance improvements, stemming from sample diversity and the ease of incorporating new constraints directly during inference. However, a primary…

Generative adversarial networks (GAN) have recently been used for a design synthesis of mechanical shapes. A GAN sometimes outputs physically unreasonable shapes. For example, when a GAN model is trained to output airfoil shapes that…

Machine Learning · Computer Science 2023-08-22 Kazunari Wada , Katsuyuki Suzuki , Kazuo Yonekura

We argue that the theory and practice of diffusion-based generative models are currently unnecessarily convoluted and seek to remedy the situation by presenting a design space that clearly separates the concrete design choices. This lets us…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Tero Karras , Miika Aittala , Timo Aila , Samuli Laine