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The evolutionary fitness landscape of biological molecules is extremely sparse and heterogeneous, with functional sequences forming isolated dense ``islands'' within a vast combinatorial space of largely non-functional variants. Protein…

This paper investigates the theoretical behavior of generative models under finite training populations. Within the stochastic interpolation generative framework, we derive closed-form expressions for the optimal velocity field and score…

Machine Learning · Computer Science 2025-09-29 Yunchen Li , Shaohui Lin , Zhou Yu

BACKGROUND: One of the most evident achievements of bioinformatics is the development of methods that transfer biological knowledge from characterised proteins to uncharacterised sequences. This mode of protein function assignment is mostly…

Quantitative Methods · Quantitative Biology 2007-09-28 Emmanuel D. Levy , Christos A. Ouzounis , Walter R. Gilks , Benjamin Audit

Proteins are dynamic, adopting ensembles of conformations. The nature of this conformational heterogenity is imprinted in the raw electron density measurements obtained from X-ray crystallography experiments. Fitting an ensemble of protein…

Quantitative Methods · Quantitative Biology 2024-12-19 Sai Advaith Maddipatla , Nadav Bojan Sellam , Sanketh Vedula , Ailie Marx , Alex Bronstein

Protein function and dynamics are closely related to its sequence and structure. However prediction of protein function and dynamics from its sequence and structure is still a fundamental challenge in molecular biology. Protein…

Biomolecules · Quantitative Biology 2015-10-06 Zixuan Cang , Lin Mu , Kedi Wu , Kristopher Opron , Kelin Xia , Guo-Wei Wei

Predicting phenotype from genotype is a central challenge in genetics. Traditional approaches in quantitative genetics typically analyze this problem using methods based on linear regression. These methods generally assume that the genetic…

Genomics · Quantitative Biology 2025-04-15 Krishna Rijal , Caroline M. Holmes , Samantha Petti , Gautam Reddy , Michael M. Desai , Pankaj Mehta

Protein design often begins with the knowledge of a desired function from a motif which motif-scaffolding aims to construct a functional protein around. Recently, generative models have achieved breakthrough success in designing scaffolds…

Transformer architectures have proven to learn useful representations for protein classification and generation tasks. However, these representations present challenges in interpretability. In this work, we demonstrate a set of methods for…

Computation and Language · Computer Science 2021-03-30 Jesse Vig , Ali Madani , Lav R. Varshney , Caiming Xiong , Richard Socher , Nazneen Fatema Rajani

Function in natural systems arises from one-dimensional sequences forming three-dimensional structures with specific properties. However, current generative models suffer from critical limitations: training objectives seldom target function…

Entrusted with the goal of pixel-level object classification, the semantic segmentation networks entail the laborious preparation of pixel-level annotation masks. To obtain pixel-level annotation masks for a given class without human…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Joon Hyun Park , Kumju Jo , Sungyong Baik

High-quality training datasets are crucial for the development of effective protein design models, but existing synthetic datasets often include unfavorable sequence-structure pairs, impairing generative model performance. We leverage…

Motivation. Protein design aims to identify sequences compatible with a given protein fold but incompatible to any alternative folds. To select the correct sequences and to guide the search process, a design scoring function is critically…

Biomolecules · Quantitative Biology 2007-05-23 Changyu Hu , Xiang Li , Jie Liang

We present a sequence-based probabilistic formalism that directly addresses co-operative effects in networks of interacting positions in proteins, providing significantly improved contact prediction, as well as accurate quantitative…

Quantitative Methods · Quantitative Biology 2012-07-12 Alan Lapedes , Bertrand Giraud , Christopher Jarzynski

Transformer attention computes a single softmax-weighted average over values -- a one-pass estimate that cannot correct its own errors. We introduce \emph{gradient-boosted attention}, which applies the principle of gradient boosting…

Machine Learning · Computer Science 2026-05-05 Saleh Sargolzaei

The vast majority of biological sequences encode unknown functions and bear little resemblance to experimentally characterized proteins, limiting both our understanding of biology and our ability to harness functional potential for the…

Quantitative Methods · Quantitative Biology 2026-02-19 Ashley Babjac , Adrienne Hoarfrost

De novo functional protein design aims to generate protein sequences that realize specified biochemical functions without relying on evolutionary templates, enabling broad applications in biotechnology and medicine. Existing approaches…

Quantitative Methods · Quantitative Biology 2026-05-05 Xinrui Chen , Yizhen Luo , Siqi Fan , Zaiqing Nie

Deep generative models are attracting great attention for molecular design with desired properties. Most existing models generate molecules by sequentially adding atoms. This often renders generated molecules with less correlation with…

Machine Learning · Computer Science 2021-11-29 Seonghwan Seo , Jaechang Lim , Woo Youn Kim

The intrinsic stochasticity of gene expression can lead to large variability in protein levels for genetically identical cells. Such variability in protein levels can arise from infrequent synthesis of mRNAs which in turn give rise to…

Biological Physics · Physics 2015-05-27 Vlad Elgart , Tao Jia , Andrew T. Fenley , Rahul V. Kulkarni

Modern causal language models stack many attention blocks to improve performance, but not all blocks are necessary for every task. We propose Hopscotch, a simple yet effective method that identifies and skips attention blocks with least…

Computation and Language · Computer Science 2025-09-16 Mustafa Eyceoz , Nikhil Shivakumar Nayak , Hao Wang , Ligong Han , Akash Srivastava

Protein function does not solely depend on structure but often relies on dynamical transitions between distinct conformations. Despite this fact, our ability to characterize or predict protein dynamics is substantially less developed…

Statistical Mechanics · Physics 2026-05-08 Michael A. Sauer , Souvik Mondal , Brandon Neff , Sthitadhi Maiti , Matthias Heyden
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