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Message passing neural networks (MPNNs) operate on graphs by exchanging information between neigbouring nodes. MPNNs have been successfully applied to various node-, edge-, and graph-level tasks in areas like molecular science, computer…

Machine Learning · Computer Science 2025-11-05 Lisi Qarkaxhija , Anatol E. Wegner , Ingo Scholtes

Protein aggregation occurs when misfolded or unfolded proteins physically bind together, and can promote the development of various amyloid diseases. This study aimed to construct surrogate models for predicting protein aggregation via…

Quantitative Methods · Quantitative Biology 2023-04-10 Seungpyo Kang , Minseon Kim , Jiwon Sun , Myeonghun Lee , Kyoungmin Min

Proteins are biomolecules of life. They fold into a great variety of three-dimensional (3D) shapes. Underlying these folding patterns are many recurrent structural fragments or building blocks (analogous to `LEGO bricks'). This paper…

Quantitative Methods · Quantitative Biology 2013-10-08 Arun S. Konagurthu , Arthur M. Lesk , David Abramson , Peter J. Stuckey , Lloyd Allison

We analyse the performance of Belief Propagation Guided Decimation, a physics-inspired message passing algorithm, on the random $k$-XORSAT problem. Specifically, we derive an explicit threshold up to which the algorithm succeeds with a…

Combinatorics · Mathematics 2025-09-03 Arnab Chatterjee , Amin Coja-Oghlan , Mihyun Kang , Lena Krieg , Maurice Rolvien , Gregory B. Sorkin

Recent advances in protein function prediction exploit graph-based deep learning approaches to correlate the structural and topological features of proteins with their molecular functions. However, proteins in vivo are not static but…

Biomolecules · Quantitative Biology 2022-11-22 Yuan Chiang , Wei-Han Hui , Shu-Wei Chang

The problem of sequentially maximizing the expectation of a function seeks to maximize the expected value of a function of interest without having direct control on its features. Instead, the distribution of such features depends on a given…

Machine Learning · Statistics 2022-10-26 Diego Martinez-Taboada , Dino Sejdinovic

We introduce novel belief propagation algorithms to estimate the marginals of a high dimensional probability distribution. They involve natural (co)homological constructions relevant for a localised description of statistical systems.

Algebraic Topology · Mathematics 2021-07-27 Olivier Peltre

We design iterative receiver schemes for a generic wireless communication system by treating channel estimation and information decoding as an inference problem in graphical models. We introduce a recently proposed inference framework that…

Understanding protein structure-function relationships is a key challenge in computational biology, with applications across the biotechnology and pharmaceutical industries. While it is known that protein structure directly impacts protein…

Biomolecules · Quantitative Biology 2020-11-02 Nicolas Swenson , Aditi S. Krishnapriyan , Aydin Buluc , Dmitriy Morozov , Katherine Yelick

The structure of a protein is crucial in determining its functionality, and is much more conserved than sequence during evolution. A key task in structural biology is to compare protein structures in order to determine evolutionary…

Methodology · Statistics 2019-11-06 Christopher Fallaize , Peter Green , Kanti Mardia , Stuart Barber

How proteins fold remains a central unsolved problem in biology. While the idea of a folding code embedded in the amino acid sequence was introduced more than 6 decades ago, this code remains undefined. While we now have powerful predictive…

Biomolecules · Quantitative Biology 2025-11-04 Carlos Bustamante , Christian Kaiser , Erik Lindahl , Robert Sosa , Giovanni Volpe

This paper presents a new deterministic approximation technique in Bayesian networks. This method, "Expectation Propagation", unifies two previous techniques: assumed-density filtering, an extension of the Kalman filter, and loopy belief…

Artificial Intelligence · Computer Science 2013-01-14 Thomas P. Minka

Proteins encode diverse functions within complex three-dimensional structures, yet most deep learning representations remain highly entangled, obscuring the biophysical signals that underlie function. Here we introduce ProtDiS, a…

Biomolecules · Quantitative Biology 2026-05-26 Mingqing Wang , Zhiwei Nie , Athanasios V. Vasilakos , Yonghong He , Zhixiang Ren

Given native 2D contact map, protein 3D structure could be reconstructed with accuracy of 2A or better, and such reconstruction is a feasible computational approach for protein folding problem. The prediction accuracy from traditional…

Biomolecules · Quantitative Biology 2019-06-12 Yuhong Wang , Wei Li , Hongmao Sun , Kennie Cruz-Gutierrez

A new general algorithm for optimization of potential functions for protein folding is introduced. It is based upon gradient optimization of the thermodynamic stability of native folds of a training set of proteins with known structure. The…

Condensed Matter · Physics 2009-11-10 Ole Winther , Anders Krogh

Link prediction in multilayer networks is a key challenge in applications such as recommendation systems and protein-protein interaction prediction. While many techniques have been developed, most rely on assumptions about shared structures…

Machine Learning · Statistics 2025-06-17 Yongqin Qiu , Xinyu Zhang

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

Belief propagation (BP) is a powerful tool to solve distributed inference problems, though it is limited by short cycles in the corresponding factor graph. Such cycles may lead to incorrect solutions or oscillatory behavior. Only for…

Systems and Control · Computer Science 2018-02-08 Christopher Lindberg , Julien M. Hendrickx , Henk Wymeersch

To enhance the accuracy of protein-protein interaction function prediction, a 2-order graphic neighbor information feature extraction method based on undirected simple graph is proposed in this paper, which extends the 1-order graphic…

Quantitative Methods · Quantitative Biology 2012-07-19 Jingwei Liu

We model the evolution of eukaryotic protein-protein interaction (PPI) networks. In our model, PPI networks evolve by two known biological mechanisms: (1) Gene duplication, which is followed by rapid diversification of duplicate…

Molecular Networks · Quantitative Biology 2015-01-07 Jack Peterson , Steve Presse , Kristin S. Peterson , Ken A. Dill