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We demonstrate a new algorithm for finding protein conformations that minimize a non-bonded energy function. The new algorithm, called the difference map, seeks to find an atomic configuration that is simultaneously in two constraint…

Biomolecules · Quantitative Biology 2007-06-13 Ivan C. Rankenburg , Veit Elser

Energy-Based Models (EBMs) assign unnormalized log-probability to data samples. This functionality has a variety of applications, such as sample synthesis, data denoising, sample restoration, outlier detection, Bayesian reasoning, and many…

Machine Learning · Statistics 2019-12-23 Zengyi Li , Yubei Chen , Friedrich T. Sommer

Motivation: To assess the quality of a protein model, i.e. to estimate how close it is to its native structure, using no other information than the structure of the model has been shown to be useful for structure prediction. The state of…

Biomolecules · Quantitative Biology 2016-02-19 Karolis Uziela , Björn Wallner , Arne Elofsson

In multi-resolution simulations, different system components are simultaneously modelled at different levels of resolution, these being smoothly coupled together. In the case of enzyme systems, computationally expensive atomistic detail is…

Biological Physics · Physics 2016-11-03 Aoife C. Fogarty , Raffaello Potestio , Kurt Kremer

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha--helices and beta--sheets). This model is based on the following two main ideas. First, we model backbone parts of amino…

Soft Condensed Matter · Physics 2012-08-01 S. Albeverio , S. V. Kozyrev

This paper aims to retrieve proteins with similar structures and semantics from large-scale protein dataset, facilitating the functional interpretation of protein structures derived by structural determination methods like cryo-Electron…

Biomolecules · Quantitative Biology 2025-06-11 Qifeng Wu , Zhengzhe Liu , Han Zhu , Yizhou Zhao , Daisuke Kihara , Min Xu

Training energy-based models (EBMs) on discrete spaces is challenging because sampling over such spaces can be difficult. We propose to train discrete EBMs with energy discrepancy (ED), a novel type of contrastive loss functional which only…

Machine Learning · Statistics 2023-07-18 Tobias Schröder , Zijing Ou , Yingzhen Li , Andrew B. Duncan

In this paper, we focus on the problem of integrating Energy-based Models (EBM) as guiding priors for motion optimization. EBMs are a set of neural networks that can represent expressive probability density distributions in terms of a Gibbs…

Robotics · Computer Science 2023-01-13 Julen Urain , An T. Le , Alexander Lambert , Georgia Chalvatzaki , Byron Boots , Jan Peters

Characterization of protein energy landscape and conformational ensembles is important for understanding mechanisms of protein folding and function. We studied ensembles of bound and unbound conformations of six proteins to explore their…

Biological Physics · Physics 2012-11-06 Anatoly M. Ruvinsky , Tatsiana Kirys , Alexander V. Tuzikov , Ilya A. Vakser

Bacterial growth depends crucially on metabolic fluxes, which are limited by the cell's capacity to maintain metabolic enzymes. The necessary enzyme amount per unit flux is a major determinant of metabolic strategies both in evolution and…

Molecular Networks · Quantitative Biology 2017-02-08 Elad Noor , Avi Flamholz , Arren Bar-Even , Dan Davidi , Ron Milo , Wolfram Liebermeister

The biological functions of proteins often depend on dynamic structural ensembles. In this work, we develop a flow-based generative modeling approach for learning and sampling the conformational landscapes of proteins. We repurpose highly…

Biomolecules · Quantitative Biology 2024-09-04 Bowen Jing , Bonnie Berger , Tommi Jaakkola

The Electron Microscopy Data Bank (EMDB) is a rapidly growing repository for the dissemination of structural data from single-particle reconstructions of supramolecular protein assemblies including motors, chaperones, cytoskeletal…

Biomolecules · Quantitative Biology 2010-01-06 Do-Nyun Kim , Cong-Tri Nguyen , Mark Bathe

Biology stores information and computes at the molecular scale, yet the ways in which it does so are often distinct from human-engineered computers. Mapping biological computation onto architectures familiar to computer science remains an…

Biological Physics · Physics 2026-03-31 Jan Kocka , Kabir Husain , Jaime Agudo-Canalejo

Accurately predicting protein melting temperature changes (Delta Tm) is fundamental for assessing protein stability and guiding protein engineering. Leveraging multi-modal protein representations has shown great promise in capturing the…

Machine Learning · Computer Science 2025-03-25 Daiheng Zhang , Yan Zeng , Xinyu Hong , Jinbo Xu

A Restricted Boltzmann Machine (RBM) is an unsupervised machine-learning bipartite graphical model that jointly learns a probability distribution over data and extracts their relevant statistical features. As such, RBM were recently…

Machine Learning · Computer Science 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Protein dynamics underlie many biological functions, yet remain difficult to characterize due to the high computational cost of molecular dynamics simulations and the scarcity of dynamic structural data. This survey reviews recent advances…

Biomolecules · Quantitative Biology 2026-04-29 Haocheng Tang , Liang Shi , Ya-Shi Zhang , Xixian Liu , Jian Tang , Jiarui Lu

Protein conformational transitions, which are essential for function, may be driven either by entropy or enthalpy when molecular systems comprising solute and solvent molecules are the focus. Revealing thermodynamic origin of a given…

Biomolecules · Quantitative Biology 2015-05-04 Kai Wang , Shiyang Long , Zhiming Zhang , Lanru Liu , Qimeng Wang , Pu Tian

The goal of protein representation learning is to extract knowledge from protein databases that can be applied to various protein-related downstream tasks. Although protein sequence, structure, and function are the three key modalities for…

Biomolecules · Quantitative Biology 2024-05-14 Eunji Ko , Seul Lee , Minseon Kim , Dongki Kim

In this study, we propose a Kernel-PCA model designed to capture structure-function relationships in a protein. This model also enables ranking of reaction coordinates according to their impact on protein properties. By leveraging machine…

Computation and Language · Computer Science 2025-03-26 Parisa Mollaei , Amir Barati Farimani

Model-based planning holds great promise for improving both sample efficiency and generalization in reinforcement learning (RL). We show that energy-based models (EBMs) are a promising class of models to use for model-based planning. EBMs…

Machine Learning · Computer Science 2021-03-09 Yilun Du , Toru Lin , Igor Mordatch