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Diffusion models have achieved state-of-the-art synthesis quality on both visual and audio tasks, and recent works further adapt them to textual data by diffusing on the embedding space. In this paper, we conduct systematic studies of the…

Computation and Language · Computer Science 2024-04-23 Zhujin Gao , Junliang Guo , Xu Tan , Yongxin Zhu , Fang Zhang , Jiang Bian , Linli Xu

Understanding the geometry of learned distributions is fundamental to improving and interpreting diffusion models, yet systematic tools for exploring their landscape remain limited. Standard latent-space interpolations fail to respect the…

Machine Learning · Statistics 2026-02-26 Elio Moreau , Florentin Coeurdoux , Grégoire Ferre , Eric Vanden-Eijnden

The diffusion model has shown success in generating high-quality and diverse solutions to trajectory optimization problems. However, diffusion models with neural networks inevitably make prediction errors, which leads to constraint…

Machine Learning · Computer Science 2024-06-04 Anjian Li , Zihan Ding , Adji Bousso Dieng , Ryne Beeson

Generative machine learning models have revolutionized material discovery by capturing complex structure-property relationships, yet extending these approaches to the inverse design of three-dimensional metamaterials remains limited by…

Computational Engineering, Finance, and Science · Computer Science 2026-04-27 Li Zheng , Siddhant Kumar , Dennis M. Kochmann

We present the first diffusion-based framework that can learn an unknown distribution using only highly-corrupted samples. This problem arises in scientific applications where access to uncorrupted samples is impossible or expensive to…

Machine Learning · Computer Science 2023-05-31 Giannis Daras , Kulin Shah , Yuval Dagan , Aravind Gollakota , Alexandros G. Dimakis , Adam Klivans

Diffusion models have gained attention for their ability to represent complex distributions and incorporate uncertainty, making them ideal for robust predictions in the presence of noisy or incomplete data. In this study, we develop and…

Machine Learning · Computer Science 2024-11-05 Yilin Zhuang , Sibo Cheng , Karthik Duraisamy

We demonstrate a machine learning approach designed to extract hidden chemistry/physics to facilitate new materials discovery. In particular, we propose a novel method for learning latent knowledge from material structure data in which…

Materials Science · Physics 2021-08-03 Tien-Cuong Nguyen , Van-Quyen Nguyen , Van-Linh Ngo , Quang-Khoat Than , Tien-Lam Pham

Deep generative models, particularly denoising diffusion models, have achieved remarkable success in high-fidelity generation of architected microstructures with desired properties and styles. Nevertheless, these recent methods typically…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 Weipeng Xu , Ziyuan Xie , Haoju Lin , Xinyu Wang , Guangjin Mou , Tianju Xue

Explainable machine learning can help to discover new physical relationships for material properties. To understand the material properties that govern the activation energy for oxygen diffusion in perovskites and pyrochlores, we build a…

Materials Science · Physics 2025-11-06 Grace M. Lu , Dallas R. Trinkle

We present a systematic theoretical framework that interprets masked diffusion models (MDMs) as solutions to energy minimization problems in discrete optimal transport. Specifically, we prove that three distinct energy…

Machine Learning · Computer Science 2026-03-24 Sitong Chen , Shen Nie , Jiacheng Sun , Zijin Feng , Zhenguo Li , Ji-Rong Wen , Chongxuan Li

Protein design with desirable properties has been a significant challenge for many decades. Generative artificial intelligence is a promising approach and has achieved great success in various protein generation tasks. Notably, diffusion…

Many real-world datasets, such as citation networks, social networks, and molecular structures, are naturally represented as heterogeneous graphs, where nodes belong to different types and have additional features. For example, in a…

Machine Learning · Computer Science 2026-02-05 Pallabee Das , Stefan Heindorf

Nuclear Magnetic Resonance (NMR) spectroscopy is a central characterization method for molecular structure elucidation, yet interpreting NMR spectra to deduce molecular structures remains challenging due to the complexity of spectral data…

Chemical Physics · Physics 2025-07-15 Qingsong Yang , Binglan Wu , Xuwei Liu , Bo Chen , Wei Li , Gen Long , Xin Chen , Mingjun Xiao

Building generic robotic manipulation systems often requires large amounts of real-world data, which can be dificult to collect. Synthetic data generation offers a promising alternative, but limiting the sim-to-real gap requires significant…

Robotics · Computer Science 2024-11-18 Thomas Lips , Francis wyffels

Three-dimensional molecular generators based on diffusion models can now reach near-crystallographic accuracy, yet they remain fragmented across tasks. SMILES-only inputs, two-stage pretrain-finetune pipelines, and one-task-one-model…

Biomolecules · Quantitative Biology 2025-07-11 Dong Xu , Zhangfan Yang , Sisi Yuan , Jenna Xinyi Yao , Jiangqiang Li , Junkai Ji

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

Machine Learning · Computer Science 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

We study the scaling properties of latent diffusion models (LDMs) with an emphasis on their sampling efficiency. While improved network architecture and inference algorithms have shown to effectively boost sampling efficiency of diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Kangfu Mei , Zhengzhong Tu , Mauricio Delbracio , Hossein Talebi , Vishal M. Patel , Peyman Milanfar

The success of deep learning in computer vision over the past decade has hinged on large labeled datasets and strong pretrained models. In data-scarce settings, the quality of these pretrained models becomes crucial for effective transfer…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Bingxin Ke , Kevin Qu , Tianfu Wang , Nando Metzger , Shengyu Huang , Bo Li , Anton Obukhov , Konrad Schindler

In a convergence of machine learning and biology, we reveal that diffusion models are evolutionary algorithms. By considering evolution as a denoising process and reversed evolution as diffusion, we mathematically demonstrate that diffusion…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Yanbo Zhang , Benedikt Hartl , Hananel Hazan , Michael Levin

This paper presents a modeling framework---mathematical model and computational framework---to study the response of a plastic material due to the presence and transport of a chemical species in the host material. Such a modeling framework…

Numerical Analysis · Mathematics 2020-11-16 M. S. Joshaghani , K. B. Nakshatrala
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