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Understanding and predicting the diverse conformational states of molecules is crucial for advancing fields such as chemistry, material science, and drug development. Despite significant progress in generative models, accurately generating…

Machine Learning · Computer Science 2025-01-14 Zhejun Zhang , Yuanping Chen , Shibing Chu

Anomaly detection in multivariate time series has emerged as a crucial challenge in time series research, with significant research implications in various fields such as fraud detection, fault diagnosis, and system state estimation.…

Machine Learning · Computer Science 2023-10-31 Chaocheng Yang , Tingyin Wang , Xuanhui Yan

Diffusion models (DMs) have emerged as a powerful class of generative AI models, showing remarkable potential in anomaly detection (AD) tasks across various domains, such as cybersecurity, fraud detection, healthcare, and manufacturing. The…

Machine Learning · Computer Science 2025-02-28 Jing Liu , Zhenchao Ma , Zepu Wang , Chenxuanyin Zou , Jiayang Ren , Zehua Wang , Liang Song , Bo Hu , Yang Liu , Victor C. M. Leung

Discrete diffusion models have emerged as a promising direction for vision-language tasks, offering bidirectional context modeling and theoretical parallelization. However, their practical application is severely hindered by a…

Computation and Language · Computer Science 2025-10-24 Yatai Ji , Teng Wang , Yuying Ge , Zhiheng Liu , Sidi Yang , Ying Shan , Ping Luo

RNA inverse folding, designing sequences to form specific 3D structures, is critical for therapeutics, gene regulation, and synthetic biology. Current methods, focused on sequence recovery, struggle to address structural objectives like…

Machine Learning · Computer Science 2026-01-28 Qi Si , Xuyang Liu , Penglei Wang , Xin Guo , Yuan Qi , Yuan Cheng

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

Fluid Dynamics · Physics 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

While deep neural networks (NN) significantly advance image compressed sensing (CS) by improving reconstruction quality, the necessity of training current CS NNs from scratch constrains their effectiveness and hampers rapid deployment.…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Bin Chen , Zhenyu Zhang , Weiqi Li , Chen Zhao , Jiwen Yu , Shijie Zhao , Jie Chen , Jian Zhang

This work introduces a diffusion model for molecule generation in 3D that is equivariant to Euclidean transformations. Our E(3) Equivariant Diffusion Model (EDM) learns to denoise a diffusion process with an equivariant network that jointly…

Machine Learning · Computer Science 2022-06-17 Emiel Hoogeboom , Victor Garcia Satorras , Clément Vignac , Max Welling

Designing new molecules is essential for drug discovery and material science. Recently, deep generative models that aim to model molecule distribution have made promising progress in narrowing down the chemical research space and generating…

Biomolecules · Quantitative Biology 2023-06-06 Han Huang , Leilei Sun , Bowen Du , Weifeng Lv

Masked diffusion models (MDMs) have emerged as a promising alternative to autoregressive models, enabling parallel token generation while achieving competitive performance. Despite these advantages, MDMs face a fundamental limitation: once…

Machine Learning · Computer Science 2026-03-06 Yair Schiff , Omer Belhasin , Roy Uziel , Guanghan Wang , Marianne Arriola , Gilad Turok , Michael Elad , Volodymyr Kuleshov

Transformer-based diffusion models have demonstrated remarkable performance at generating high-quality samples. However, our theoretical understanding of the reasons for this success remains limited. For instance, existing models are…

Machine Learning · Computer Science 2026-04-14 Hongkang Li , Hancheng Min , Rene Vidal

Diffusion generative models have emerged as a powerful framework for addressing problems in structural biology and structure-based drug design. These models operate directly on 3D molecular structures. Due to the unfavorable scaling of…

Biomolecules · Quantitative Biology 2024-05-10 Ian Dunn , David Ryan Koes

In this work, we provide a systematic survey of Discrete Diffusion Language Models (dLLMs) and Discrete Diffusion Multimodal Language Models (dMLLMs). Unlike autoregressive (AR) models, dLLMs and dMLLMs adopt a multi-token, parallel…

Machine Learning · Computer Science 2025-09-22 Runpeng Yu , Qi Li , Xinchao Wang

Morphogenesis is central to biology but remains largely unexplored in chemistry. Reaction-diffusion (RD) mechanisms are, however, essential to understand how shape emerges in the living world. While numerical methods confirm the incredible…

Pattern Formation and Solitons · Physics 2014-07-17 Anton S. Zadorin , Yannick Rondelez , Jean-Christophe Galas , André Estevez-Torres

Discrete diffusion models are a class of generative models that construct sequences by progressively denoising samples from a categorical noise distribution. Beyond their rapidly growing ability to generate coherent natural language, these…

Computation and Language · Computer Science 2025-12-11 Michael Cardei , Jacob K Christopher , Thomas Hartvigsen , Bhavya Kailkhura , Ferdinando Fioretto

Deep generative diffusion models are a promising avenue for 3D de novo molecular design in materials science and drug discovery. However, their utility is still limited by suboptimal performance on large molecular structures and limited…

Machine Learning · Computer Science 2023-11-27 Tuan Le , Julian Cremer , Frank Noé , Djork-Arné Clevert , Kristof Schütt

Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

Machine Learning · Computer Science 2026-05-29 Jiayi Fu , Yuxia Wang

Coarse-grained molecular models of proteins permit access to length and time scales unattainable by all-atom models and the simulation of processes that occur on long-time scales such as aggregation and folding. The reduced resolution…

Biomolecules · Quantitative Biology 2023-07-25 Michael S. Jones , Kirill Shmilovich , Andrew L. Ferguson

Diffusion Language Models (DLMs) are rapidly emerging as a powerful and promising alternative to the dominant autoregressive (AR) paradigm. By generating tokens in parallel through an iterative denoising process, DLMs possess inherent…

Computation and Language · Computer Science 2025-12-08 Tianyi Li , Mingda Chen , Bowei Guo , Zhiqiang Shen

Diffusion probabilistic models (DPMs) and their extensions have emerged as competitive generative models yet confront challenges of efficient sampling. We propose a new bilateral denoising diffusion model (BDDM) that parameterizes both the…

Audio and Speech Processing · Electrical Eng. & Systems 2022-03-28 Max W. Y. Lam , Jun Wang , Dan Su , Dong Yu