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The Bayesian approach to inverse problems typically relies on posterior sampling approaches, such as Markov chain Monte Carlo, for which the generation of each sample requires one or more evaluations of the parameter-to-observable map or…

Computation · Statistics 2014-12-23 Jinglai Li , Youssef M. Marzouk

The design of novel protein sequences with targeted functionalities underpins a central theme in protein engineering, impacting diverse fields such as drug discovery and enzymatic engineering. However, navigating this vast combinatorial…

Biomolecules · Quantitative Biology 2024-02-19 Yiheng Zhu , Zitai Kong , Jialu Wu , Weize Liu , Yuqiang Han , Mingze Yin , Hongxia Xu , Chang-Yu Hsieh , Tingjun Hou

Generating as diverse molecules as possible with desired properties is crucial for drug discovery research, which invokes many approaches based on deep generative models today. Despite recent advancements in these models, particularly in…

Machine Learning · Computer Science 2024-07-17 Changhun Lee , Gyumin Lee

One of the major challenges in the Bayesian solution of inverse problems governed by partial differential equations (PDEs) is the computational cost of repeatedly evaluating numerical PDE models, as required by Markov chain Monte Carlo…

Computation · Statistics 2016-05-03 Tiangang Cui , Youssef M. Marzouk , Karen E. Willcox

Deep learning approaches have produced substantial breakthroughs in fields such as image classification and natural language processing and are making rapid inroads in the area of protein design. Many generative models of proteins have been…

Machine Learning · Computer Science 2021-09-29 Alexey Strokach , Philip M. Kim

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

We propose a new way of looking at global optimization of off-lattice protein models. We present a dual optimization concept of predicting optimal sequences as well as optimal folds. We validate the utility of the recently introduced…

Computational Physics · Physics 2012-05-22 István Kolossváry , Kevin J. Bowers

Deep model-based reinforcement learning methods offer a conceptually simple approach to the decision-making and control problem: use learning for the purpose of estimating an approximate dynamics model, and offload the rest of the work to…

Machine Learning · Computer Science 2023-07-13 Michael Janner

Repeat proteins are made with tandem copies of similar amino acid stretches that fold into elongated architectures. Due to their symmetry, these proteins constitute excellent model systems to investigate how evolution relates to structure,…

Biomolecules · Quantitative Biology 2022-10-12 Ezequiel A. Galpern , Jacopo Marchi , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

We formulate the inverse problem in a Bayesian framework and aim to train a generative model that allows us to simulate (i.e., sample from the likelihood) and do inference (i.e., sample from the posterior). We review the use of triangular…

Machine Learning · Statistics 2025-09-05 Tristan van Leeuwen , Christoph Brune , Marcello Carioni

Protein inverse folding aims to identify viable amino acid sequences that can fold into given protein structures, enabling the design of novel proteins with desired functions for applications in drug discovery, enzyme engineering, and…

Quantitative Methods · Quantitative Biology 2024-11-05 Taoyu Wu , Yu Guang Wang , Yiqing Shen

Molecular structure generation is a fundamental problem that involves determining the 3D positions of molecules' constituents. It has crucial biological applications, such as molecular docking, protein folding, and molecular design. Recent…

Machine Learning · Computer Science 2025-08-27 Wenyin Zhou , Christopher Iliffe Sprague , Vsevolod Viliuga , Matteo Tadiello , Arne Elofsson , Hossein Azizpour

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

Deep learning has made significant progress in protein structure prediction, advancing the development of computational biology. However, despite the high accuracy achieved in predicting single-chain structures, a significant number of…

Biomolecules · Quantitative Biology 2024-03-08 Zhaoqun Li , Jingcheng Yu , Qiwei Ye

Protein sequence design is a challenging problem in protein engineering, which aims to discover novel proteins with useful biological functions. Directed evolution is a widely-used approach for protein sequence design, which mimics the…

Machine Learning · Computer Science 2023-03-21 Chuanjiao Zong

Tomographic imaging is in general an ill-posed inverse problem. Typically, a single regularized image estimate of the sought-after object is obtained from tomographic measurements. However, there may be multiple objects that are all…

Image and Video Processing · Electrical Eng. & Systems 2022-07-28 Sayantan Bhadra , Umberto Villa , Mark A. Anastasio

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

Optimization and Control · Mathematics 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

Motivation Protein fold recognition is an important problem in structural bioinformatics. Almost all traditional fold recognition methods use sequence (homology) comparison to indirectly predict the fold of a tar get protein based on the…

Machine Learning · Computer Science 2017-06-06 Jie Hou , Badri Adhikari , Jianlin Cheng

We propose a novel approach for solving inverse-problems with high-dimensional inputs and an expensive forward mapping. It leverages joint deep generative modelling to transfer the original problem spaces to a lower dimensional latent…

Methodology · Statistics 2021-04-19 Eliane Maalouf , David Ginsbourger , Niklas Linde

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza
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