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Diffusion and flow-based models have become the state of the art for generative AI across a wide range of data modalities, including images, videos, shapes, molecules, music, and more. This tutorial provides a self-contained introduction to…

Machine Learning · Computer Science 2026-03-19 Peter Holderrieth , Ezra Erives

Generative modeling of 3D LiDAR data is an emerging task with promising applications for autonomous mobile robots, such as scalable simulation, scene manipulation, and sparse-to-dense completion of LiDAR point clouds. While existing…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Kazuto Nakashima , Ryo Kurazume

Diffusion models have recently emerged as a powerful framework for generative modeling. They consist of a forward process that perturbs input data with Gaussian white noise and a reverse process that learns a score function to generate…

Data-driven schemes that associate molecular and crystal structures with their microscopic properties share the need for a concise, effective description of the arrangement of their atomic constituents. Many types of models rely on…

Machine Learning · Statistics 2022-06-08 Jigyasa Nigam , Sergey Pozdnyakov , Guillaume Fraux , Michele Ceriotti

Score-based diffusion models generate samples from an unknown target distribution using a time-reversed diffusion process. While such models represent state-of-the-art approaches in industrial applications such as artificial image…

Machine Learning · Computer Science 2026-02-09 Adrian Baule

The design of functional materials with desired properties is essential in driving technological advances in areas like energy storage, catalysis, and carbon capture. Generative models provide a new paradigm for materials design by directly…

Generating graph-structured data requires learning the underlying distribution of graphs. Yet, this is a challenging problem, and the previous graph generative methods either fail to capture the permutation-invariance property of graphs or…

Machine Learning · Computer Science 2022-06-16 Jaehyeong Jo , Seul Lee , Sung Ju Hwang

Generative tasks about molecules, including but not limited to molecule generation, are crucial for drug discovery and material design, and have consistently attracted significant attention. In recent years, diffusion models have emerged as…

Machine Learning · Computer Science 2025-02-14 Liang Wang , Chao Song , Zhiyuan Liu , Yu Rong , Qiang Liu , Shu Wu , Liang Wang

The exploration of transition state (TS) geometries is crucial for elucidating chemical reaction mechanisms and modeling their kinetics. Recently, machine learning (ML) models have shown remarkable performance for prediction of TS…

Chemical Physics · Physics 2023-10-13 Seonghwan Kim , Jeheon Woo , Woo Youn Kim

Seismic imaging from sparsely acquired data faces challenges such as low image quality, discontinuities, and migration swing artifacts. Existing convolutional neural network (CNN)-based methods struggle with complex feature distributions…

Geophysics · Physics 2024-08-01 Xingchen Shi , Shijun Cheng , Weijian Mao , Wei Ouyang

Advances in generative artificial intelligence are transforming how metal-organic frameworks (MOFs) are designed and discovered. This Perspective introduces the shift from laborious enumeration of MOF candidates to generative approaches…

Generative models hold the promise of significantly expediting the materials design process when compared to traditional human-guided or rule-based methodologies. However, effectively generating high-quality periodic structures of materials…

Materials Science · Physics 2024-08-15 Anshuman Sinha , Shuyi Jia , Victor Fung

Denoising diffusion models have proven to be a flexible and effective paradigm for generative modelling. Their recent extension to infinite dimensional Euclidean spaces has allowed for the modelling of stochastic processes. However, many…

Deep generative models have recently achieved superior performance in 3D molecule generation. Most of them first generate atoms and then add chemical bonds based on the generated atoms in a post-processing manner. However, there might be no…

Biomolecules · Quantitative Biology 2023-05-15 Xingang Peng , Jiaqi Guan , Qiang Liu , Jianzhu Ma

We present a generative diffusion model specifically tailored to the discovery of surface structures. The generative model takes into account substrate registry and periodicity by including masked atoms and $z$-directional confinement.…

Computational Physics · Physics 2025-01-22 Nikolaj Rønne , Alán Aspuru-Guzik , Bjørk Hammer

Discovering materials with new structural chemistry is key to achieving transformative functionality. Generative artificial intelligence offers a scalable route to propose candidate crystal structures. We introduce a reliable low-cost proxy…

Due to the vast chemical space, discovering materials with a specific function is challenging. Chemical formulas are obligated to conform to a set of exacting criteria such as charge neutrality, balanced electronegativity, synthesizability,…

Materials Science · Physics 2023-10-03 Rongzhi Dong , Nihang Fu , dirisuriya M. D. Siriwardane , Jianjun Hu

Denoising diffusion probabilistic models (DDPM) are a class of generative models which have recently been shown to produce excellent samples. We show that with a few simple modifications, DDPMs can also achieve competitive log-likelihoods…

Machine Learning · Computer Science 2021-02-22 Alex Nichol , Prafulla Dhariwal

This article proposes an active learning method for high dimensional data, based on intrinsic data geometries learned through diffusion processes on graphs. Diffusion distances are used to parametrize low-dimensional structures on the…

Machine Learning · Computer Science 2019-05-31 Mauro Maggioni , James M. Murphy

Diffusion models have emerged as powerful deep generative techniques, producing high-quality and diverse samples in applications in various domains including audio. While existing reviews provide overviews, there remains limited in-depth…

Sound · Computer Science 2026-01-16 Ge Zhu , Yutong Wen , Zhiyao Duan
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