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Improving the ability to predict protein function can potentially facilitate research in the fields of drug discovery and precision medicine. Technically, the properties of proteins are directly or indirectly reflected in their sequence and…

Biomolecules · Quantitative Biology 2024-11-19 Runze Ma , Chengxin He , Huiru Zheng , Xinye Wang , Haiying Wang , Yidan Zhang , Lei Duan

Designing novel protein sequences for a desired 3D topological fold is a fundamental yet non-trivial task in protein engineering. Challenges exist due to the complex sequence--fold relationship, as well as the difficulties to capture the…

Machine Learning · Computer Science 2021-06-25 Yue Cao , Payel Das , Vijil Chenthamarakshan , Pin-Yu Chen , Igor Melnyk , Yang Shen

We report a flexible language-model based deep learning strategy, applied here to solve complex forward and inverse problems in protein modeling, based on an attention neural network that integrates transformer and graph convolutional…

Biomolecules · Quantitative Biology 2023-10-20 Markus J. Buehler

Inferring protein production kinetics for dividing cells is complicated due to protein inheritance from the mother cell. For instance, fluorescence measurements -- commonly used to assess gene activation -- may reflect not only newly…

Quantitative Methods · Quantitative Biology 2026-04-10 Pedro Pessoa , Juan Andres Martinez , Vincent Vandenbroucke , Frank Delvigne , Steve Pressé

Knots are abundant in globular homopolymers but rare in globular proteins. To shed new light on this long-standing conundrum, we study the influence of sequence on the formation of knots in proteins under native conditions within the…

Soft Condensed Matter · Physics 2015-03-17 Thomas Wüst , Daniel Reith , Peter Virnau

A Profile Mixture Model is a model of protein evolution, describing sequence data in which sites are assumed to follow many related substitution processes on a single evolutionary tree. The processes depend in part on different amino acid…

Populations and Evolution · Quantitative Biology 2020-07-07 Samaneh Yourdkhani , Elizabeth S. Allman , John A. Rhodes

The structure and function of a protein are determined by its amino acid sequence. While random mutations change a protein's sequence, evolutionary forces shape its structural fold and biological activity. Studies have shown that neutral…

Biomolecules · Quantitative Biology 2024-11-15 Pranav Kantroo , Günter P. Wagner , Benjamin B. Machta

Many protein design applications, such as binder or enzyme design, require scaffolding a structural motif with high precision. Generative modelling paradigms based on denoising diffusion processes emerged as a leading candidate to address…

Machine Learning · Computer Science 2024-03-15 Kieran Didi , Francisco Vargas , Simon V Mathis , Vincent Dutordoir , Emile Mathieu , Urszula J Komorowska , Pietro Lio

Biological systems perform complex multi-step processes in a reproducible way despite underlying stochasticity. The standard explanation is micromanagement by molecular machinery that recognizes and corrects specific errors. Here we study…

Populations and Evolution · Quantitative Biology 2026-05-14 Riccardo Ravasio , Kabir Husain , Constantine G. Evans , Rob Phillips , Marco Ribezzi-Crivellari , Jack W. Szostak , Arvind Murugan

Transformer-based scientific foundation models are increasingly deployed in high-stakes settings, but current architectures give deterministic outputs and provide limited support for calibrated predictive uncertainty. We propose Stochastic…

Machine Learning · Computer Science 2026-05-12 Akash Yadav , Taiwo A. Adebiyi , Ruda Zhang

Proteins are essential components of all living organisms and play a critical role in cellular survival. They have a broad range of applications, from clinical treatments to material engineering. This versatility has spurred the development…

Applications · Statistics 2025-03-28 Chenyu Ren , Daihai He , Jian Huang

Genome sequencing projects are rapidly increasing the number of high-dimensional protein sequence datasets. Clustering a high-dimensional protein sequence dataset using traditional machine learning approaches poses many challenges. Many…

Quantitative Methods · Quantitative Biology 2022-04-27 Preeti Jha , Aruna Tiwari , Neha Bharill , Milind Ratnaparkhe , Om Prakash Patel , Nilagiri Harshith , Mukkamalla Mounika , Neha Nagendra

Among several quantitative invariants found in evolutionary genomics, one of the most striking is the scaling of the overall abundance of proteins, or protein domains, sharing a specific functional annotation across genomes of given size.…

Genomics · Quantitative Biology 2017-03-30 Eleonora de Lazzari , Jacopo Grilli , Sergei Maslov , Marco Cosentino Lagomarsino

The Hopfield model is a paradigmatic model of neural networks that has been analyzed for many decades in the statistical physics, neuroscience, and machine learning communities. Inspired by the manifold hypothesis in machine learning, we…

Disordered Systems and Neural Networks · Physics 2023-05-01 Matteo Negri , Clarissa Lauditi , Gabriele Perugini , Carlo Lucibello , Enrico Malatesta

A general class of dynamical systems which can be trained to operate in classification and generation modes are introduced. A procedure is proposed to plant asymptotic stationary attractors of the deterministic model. Optimizing the…

Disordered Systems and Neural Networks · Physics 2025-10-15 Stefano Gagliani , Feliciano Giuseppe Pacifico , Lorenzo Chicchi , Duccio Fanelli , Diego Febbe , Lorenzo Buffoni , Raffaele Marino

Protein language models trained on the masked language modeling objective learn to predict the identity of hidden amino acid residues within a sequence using the remaining observable sequence as context. They do so by embedding the residues…

Biomolecules · Quantitative Biology 2024-07-11 Pranav Kantroo , Günter P. Wagner , Benjamin B. Machta

We present a systematic evaluation framework - thirty-seven analyses, 153 statistical tests, four cell types, two perturbation modalities - for assessing mechanistic interpretability in single-cell foundation models. Applying this framework…

Genomics · Quantitative Biology 2026-02-20 Ihor Kendiukhov

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 formulate an attention mechanism for continuous and ordered sequences that explicitly functions as an alignment model, which serves as the core of many sequence-to-sequence tasks. Standard scaled dot-product attention relies on…

Machine Learning · Computer Science 2025-09-19 Hyungjoon Soh , Junghyo Jo

Biological diversity has evolved despite the essentially infinite complexity of protein sequence space. We present a hierarchical approach to the efficient searching of this space and quantify the evolutionary potential of our approach with…

Statistical Mechanics · Physics 2009-10-31 Leonard D. Bogarad , Michael W. Deem
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