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This work presents a forward-only diffusion (FoD) approach for generative modelling. In contrast to traditional diffusion models that rely on a coupled forward-backward diffusion scheme, FoD directly learns data generation through a single…

Machine Learning · Computer Science 2025-09-29 Ziwei Luo , Fredrik K. Gustafsson , Jens Sjölund , Thomas B. Schön

Although the diffusion model has achieved remarkable performance in the field of image generation, its high inference delay hinders its wide application in edge devices with scarce computing resources. Therefore, many training-free sampling…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Weilun Feng , Chuanguang Yang , Zhulin An , Libo Huang , Boyu Diao , Fei Wang , Yongjun Xu

The controllable generation of diffusion models aims to steer the model to generate samples that optimize some given objective functions. It is desirable for a variety of applications including image generation, molecule generation, and…

Machine Learning · Computer Science 2025-05-29 Owen Oertell , Shikun Sun , Yiding Chen , Jin Peng Zhou , Zhiyong Wang , Wen Sun

We propose a technique to detect and generate patterns in a network of locally interacting dynamical systems. Central to our approach is a novel spatial superposition logic, whose semantics is defined over the quad-tree of a partitioned…

Artificial Intelligence · Computer Science 2014-09-22 Ebru Aydin Gol , Ezio Bartocci , Calin Belta

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

We examine a spatially discrete reaction diffusion model based on the interactions that create a periodic pattern in the Drosophila eye imaginal disc. This model is capable of generating a regular hexagonal pattern of gene expression behind…

Molecular Networks · Quantitative Biology 2010-01-26 Matthew W. Pennington , David K. Lubensky

Mass-conserving reaction-diffusion (MCRD) systems are widely used to model phase separation and pattern formation in cell polarity, biomolecular condensates, and ecological systems. Numerical simulations and formal asymptotic analysis…

Analysis of PDEs · Mathematics 2026-02-09 Xiaoqing He , Quan-Xing Liu , Dong Ye

Cataloging the complex behaviors of dynamical systems can be challenging, even when they are well-described by a simple mechanistic model. If such a system is of limited analytical tractability, brute force simulation is often the only…

Machine Learning · Computer Science 2023-01-04 Hunter Elliott

Human motion generation is a challenging task due to its high dimensionality and the difficulty of generating fine-grained motions. Diffusion methods have been proposed due to their high sample quality and expressiveness. Early approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Mirgahney Mohamed , Harry Jake Cunningham , Marc P. Deisenroth , Lourdes Agapito

Diffusion models have been applied to improve adversarial robustness of image classifiers by purifying the adversarial noises or generating realistic data for adversarial training. However, diffusion-based purification can be evaded by…

Computer Vision and Pattern Recognition · Computer Science 2024-05-22 Huanran Chen , Yinpeng Dong , Zhengyi Wang , Xiao Yang , Chengqi Duan , Hang Su , Jun Zhu

Microchannel reactors are critical in biological plus energy-related applications and require meticulous design of hundreds-to-thousands of fluid flow channels. Such systems commonly comprise intricate space-filling microstructures to…

Computational Engineering, Finance, and Science · Computer Science 2019-11-15 Ercan M. Dede , Yuqing Zhou , Tsuyoshi Nomura

Structure-based drug design (SBDD), which aims to generate molecules that can bind tightly to the target protein, is an essential problem in drug discovery, and previous approaches have achieved initial success. However, most existing…

Machine Learning · Computer Science 2024-04-04 Xinze Li , Penglei Wang , Tianfan Fu , Wenhao Gao , Chengtao Li , Leilei Shi , Junhong Liu

Breakthroughs in high-accuracy protein structure prediction, such as AlphaFold, have established receptor-based molecule design as a critical driver for rapid early-phase drug discovery. However, most approaches still struggle to balance…

Biomolecules · Quantitative Biology 2025-06-18 Dong Xu , Zhangfan Yang , Ka-chun Wong , Zexuan Zhu , Jiangqiang Li , Junkai Ji

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

Machine Learning · Statistics 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo

Diffusion models have emerged as powerful tools for molecular generation, particularly in the context of 3D molecular structures. Inspired by non-equilibrium statistical physics, these models can generate 3D molecular structures with…

Chemical Physics · Physics 2025-05-16 Amira Alakhdar , Barnabas Poczos , Newell Washburn

Diffusion models for continuous data gained widespread adoption owing to their high quality generation and control mechanisms. However, controllable diffusion on discrete data faces challenges given that continuous guidance methods do not…

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

Retrosynthesis prediction is one of the fundamental challenges in organic synthesis. The task is to predict the reactants given a core product. With the advancement of machine learning, computer-aided synthesis planning has gained…

Chemical Physics · Physics 2022-02-01 Yue Wan , Benben Liao , Chang-Yu Hsieh , Shengyu Zhang

By formulating data samples' formation as a Markov denoising process, diffusion models achieve state-of-the-art performances in a collection of tasks. Recently, many variants of diffusion models have been proposed to enable controlled…

Machine Learning · Computer Science 2023-04-17 Hengtong Zhang , Tingyang Xu

Realistic driving simulation requires that NPCs not only mimic natural driving behaviors but also react to the behavior of other simulated agents. Recent developments in diffusion-based scenario generation focus on creating diverse and…

Machine Learning · Computer Science 2025-02-14 Yunpeng Liu , Matthew Niedoba , William Harvey , Adam Scibior , Berend Zwartsenberg , Frank Wood