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Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Generative machine learning models are increasingly being used to design novel proteins for therapeutic and biotechnological applications. However, the current methods mostly focus on the design of proteins with a fixed backbone structure,…

Biomolecules · Quantitative Biology 2025-03-04 Petr Kouba , Joan Planas-Iglesias , Jiri Damborsky , Jiri Sedlar , Stanislav Mazurenko , Josef Sivic

Proteins are fundamental to biology, executing diverse functions through complex physicochemical interactions, and they hold transformative potential across medicine, materials science, and environmental applications. Protein Language…

Biomolecules · Quantitative Biology 2025-06-11 Logan Hallee , Nikolaos Rafailidis , David B. Bichara , Jason P. Gleghorn

Predicting protein properties is paramount for biological and medical advancements. Current protein engineering mutates on a typical protein, called the wild-type, to construct a family of homologous proteins and study their properties.…

Machine Learning · Computer Science 2024-06-26 Zhiqiang Zhong , Davide Mottin

Predicting structural and energetic properties of a molecular system is one of the fundamental tasks in molecular simulations, and it has use cases in chemistry, biology, and medicine. In the past decade, the advent of machine learning…

Chemical Physics · Physics 2022-08-23 Sajjad Heydari , Stefano Raniolo , Lorenzo Livi , Vittorio Limongelli

Protein-ligand scoring is a central component of structure-based drug design, underpinning molecular docking, virtual screening, and pose optimization. Conventional physics-based energy functions are often computationally expensive,…

Biomolecules · Quantitative Biology 2026-02-24 Zhangfan Yang , Baoyun Chen , Dong Xu , Jia Wang , Ruibin Bai , Junkai Ji , Zexuan Zhu

Inferring the structural properties of a protein from its amino acid sequence is a challenging yet important problem in biology. Structures are not known for the vast majority of protein sequences, but structure is critical for…

Machine Learning · Computer Science 2019-10-17 Tristan Bepler , Bonnie Berger

Deep learning is catalyzing a scientific revolution fueled by big data, accessible toolkits, and powerful computational resources, impacting many fields including protein structural modeling. Protein structural modeling, such as predicting…

Biomolecules · Quantitative Biology 2020-07-17 Wenhao Gao , Sai Pooja Mahajan , Jeremias Sulam , Jeffrey J. Gray

Energy-based modeling is a promising approach to unsupervised learning, which yields many downstream applications from a single model. The main difficulty in learning energy-based models with the "contrastive approaches" is the generation…

Machine Learning · Computer Science 2021-11-30 Kirill Neklyudov , Priyank Jaini , Max Welling

Score-based diffusion models learn to reverse a stochastic differential equation that maps data to noise. However, for complex tasks, numerical error can compound and result in highly unnatural samples. Previous work mitigates this drift…

Machine Learning · Statistics 2023-06-12 Aaron Lou , Stefano Ermon

Diffusion models have become a popular choice for representing actor policies in behavior cloning and offline reinforcement learning. This is due to their natural ability to optimize an expressive class of distributions over a continuous…

Machine Learning · Computer Science 2025-02-17 Michael Psenka , Alejandro Escontrela , Pieter Abbeel , Yi Ma

Protein representation learning plays a crucial role in understanding the structure and function of proteins, which are essential biomolecules involved in various biological processes. In recent years, deep learning has emerged as a…

Biomolecules · Quantitative Biology 2024-03-11 Bozhen Hu , Cheng Tan , Lirong Wu , Jiangbin Zheng , Jun Xia , Zhangyang Gao , Zicheng Liu , Fandi Wu , Guijun Zhang , Stan Z. Li

Composed of amino acid chains that influence how they fold and thus dictating their function and features, proteins are a class of macromolecules that play a central role in major biological processes and are required for the structure,…

Quantitative Methods · Quantitative Biology 2022-07-15 Aaron Wang

This survey paper provides a comprehensive review of the use of diffusion models in natural language processing (NLP). Diffusion models are a class of mathematical models that aim to capture the diffusion of information or signals across a…

Computation and Language · Computer Science 2023-06-16 Hao Zou , Zae Myung Kim , Dongyeop Kang

Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local…

Statistical Mechanics · Physics 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

We consider a drift-diffusion model, with an unknown function depending on the spatial variable and an additional structural variable, the amount of ingested lipid. The diffusion coefficient depends on this additional variable. The drift…

Analysis of PDEs · Mathematics 2023-05-10 Cosmin Burtea , Nicolas Meunier , Clément Mouhot

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Hyungjin Chung , Jong Chul Ye

Learning representations for structured data with certain geometries (e.g., observed or unobserved) is a fundamental challenge, wherein message passing neural networks (MPNNs) have become a de facto class of model solutions. In this paper,…

Machine Learning · Computer Science 2025-07-02 Qitian Wu , David Wipf , Junchi Yan

Introduction: The extracellular matrix (ECM) is a networkof proteins and carbohydrates that has a structural and bio-chemical function. The ECM plays an important role in dif-ferentiation, migration and signaling. Several studies…

Quantitative Methods · Quantitative Biology 2022-02-17 Mohamed Ghafoor , Anh Nguyen

Since their introduction, diffusion models have quickly become the prevailing approach to generative modeling in many domains. They can be interpreted as learning the gradients of a time-varying sequence of log-probability density…

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