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The task of deducing three-dimensional molecular configurations from their two-dimensional graph representations holds paramount importance in the fields of computational chemistry and pharmaceutical development. The rapid advancement of…

Biomolecules · Quantitative Biology 2025-01-09 Bobin Yang , Jie Deng , Zhenghan Chen , Ruoxue Wu

We introduce Equilibrium Matching (EqM), a generative modeling framework built from an equilibrium dynamics perspective. EqM discards the non-equilibrium, time-conditional dynamics in traditional diffusion and flow-based generative models…

Machine Learning · Computer Science 2025-10-14 Runqian Wang , Yilun Du

Diffusion and flow-based generative models have achieved remarkable success in domains such as image synthesis, video generation, and natural language modeling. In this work, we extend these advances to weight space learning by leveraging…

Machine Learning · Computer Science 2025-10-17 Daniel Saragih , Deyu Cao , Tejas Balaji

Diffusion-based image generation models excel at producing high-quality synthetic content, but suffer from slow and computationally expensive inference. Prior work has attempted to mitigate this by caching and reusing features within…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Anirud Aggarwal , Abhinav Shrivastava , Matthew Gwilliam

Accurate trajectory prediction is crucial for the safe and efficient operation of autonomous vehicles. The growing popularity of deep learning has led to the development of numerous methods for trajectory prediction. While deterministic…

Machine Learning · Computer Science 2023-08-30 Kehua Chen , Xianda Chen , Zihan Yu , Meixin Zhu , Hai Yang

Extracting 3D atomic coordinates from spectroscopic data is a longstanding inverse problem. We present an equivariant diffusion model that generates site-specific 3D structures directly from near-edge spectra (ELNES/XANES). Trained on Si-O…

Materials Science · Physics 2026-02-19 Ren Okubo , Yu Fujikata , Izumi Takahara , Teruyasu Mizoguchi

The AlphaFold Protein Structure Database (AFDB) offers unparalleled structural coverage at near-experimental accuracy, positioning it as a valuable resource for data-driven protein design. However, its direct use in training deep models…

Machine Learning · Computer Science 2025-06-11 Cheng Tan , Zhenxiao Cao , Zhangyang Gao , Siyuan Li , Yufei Huang , Stan Z. Li

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

This chapter gives a graceful introduction to problem of protein three- dimensional structure prediction, and focuses on how to make structural sense out of a single input sequence with unknown structure, the 'query' or 'target' sequence.…

Biomolecules · Quantitative Biology 2017-12-04 Sanne Abeln , Jaap Heringa , K. Anton Feenstra

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

The recent breakthrough of AlphaFold3 in modeling complex biomolecular interactions, including those between proteins and ligands, nucleotides, or metal ions, creates new opportunities for protein design. In so-called inverse protein…

Biomolecules · Quantitative Biology 2025-07-22 Kai Yi , Kiarash Jamali , Sjors H. W. Scheres

A protein's function depends critically on its conformational ensemble, a collection of energy weighted structures whose balance depends on temperature and environment. Though recent deep learning (DL) methods have substantially advanced…

Biomolecules · Quantitative Biology 2026-01-09 Myeongsang Lee , Lauren L. Porter

Recent advances in self-supervised learning for EEG representation have largely relied on masked reconstruction, where models are trained to recover randomly masked signal segments. While effective at modeling local dependencies, such…

Machine Learning · Computer Science 2026-04-17 Shaocong Wang , Tong Liu , Yihan Li , Ming Li , Kairui Wen , Pei Yang , Wenqi Ji , Minjing Yu , Yong-Jin Liu

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

In Dec 2020, the results of AlphaFold2 were presented at CASP14, sparking a revolution in the field of protein structure predictions. For the first time, a purely computational method could challenge experimental accuracy for structure…

Biomolecules · Quantitative Biology 2022-12-16 Arne Elofsson

Equivariant diffusion models have achieved impressive performance in 3D molecule generation. These models incorporate Euclidean symmetries of 3D molecules by utilizing an SE(3)-equivariant denoising network. However, specialized equivariant…

Machine Learning · Computer Science 2025-07-01 Yuhui Ding , Thomas Hofmann

Understanding how cellular morphology, gene expression, and spatial context jointly shape tissue function is a central challenge in biology. Image-based spatial transcriptomics technologies now provide high-resolution measurements of cell…

Quantitative Methods · Quantitative Biology 2026-02-17 Zhenglun Kong , Mufan Qiu , John Boesen , Xiang Lin , Sukwon Yun , Tianlong Chen , Manolis Kellis , Marinka Zitnik

Score-based Generative Models (SGMs) have demonstrated exceptional synthesis outcomes across various tasks. However, the current design landscape of the forward diffusion process remains largely untapped and often relies on physical…

Machine Learning · Computer Science 2023-10-13 Kushagra Pandey , Stephan Mandt

Goal-directed molecular generation requires satisfying heterogeneous constraints such as protein--ligand compatibility and multi-objective drug-like properties, yet existing methods often optimize these constraints in isolation, failing to…

Machine Learning · Computer Science 2026-04-14 Yanting Li , Zhuoyang Jiang , Enyan Dai , Lei Wang , Wen-Cai Ye , Li Liu

This paper presents a novel approach for predicting the relative populations of protein conformations using AlphaFold 2, an AI-powered method that has revolutionized biology by enabling the accurate prediction of protein structures. While…

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