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Observation of phenotypic diversity in a population of genetically identical cells is often linked to the stochastic nature of chemical reactions involved in gene regulatory networks. We investigate the distribution of population averaged…

Molecular Networks · Quantitative Biology 2015-06-18 Bhaswati Bhattacharyya , Ziya Kalay

Natural genomes sometimes encode two different proteins in staggered reading frames of the same DNA sequence. Despite the prevalence of these 'overlapping genes' across the tree of life, it remains unknown whether arbitrary protein pairs…

Biomolecules · Quantitative Biology 2026-04-02 Orson Kirsch , Nicole Wood , Steven A Redford , Kabir Husain

A quantitative theory on the construction and the evolution of the genetic code is proposed. Through introducing the concept of mutational deterioration (MD) and developing a theoretical formalism on MD minimization we have proved: 1, the…

Other Quantitative Biology · Quantitative Biology 2009-08-24 Liaofu Luo

Domain motions involved in the function of proteins can often be well described as a combination of motions along a handfull of low-frequency modes, that is, with the values of a few normal coordinates. This means that, when the functional…

Biomolecules · Quantitative Biology 2022-09-07 Yves-Henri Sanejouand

Stochasticity in gene expression gives rise to fluctuations in protein levels across a population of genetically identical cells. Such fluctuations can lead to phenotypic variation in clonal populations, hence there is considerable interest…

Molecular Networks · Quantitative Biology 2015-06-15 Hodjat Pendar , Thierry Platini , Rahul V. Kulkarni

We propose a network model with a fixed number of nodes and links with a dynamics which favors links between nodes differing in connectivity. Parameter regimes where the degree distributions follow power-laws, P(k) ~ k^-gamma, high…

Physics and Society · Physics 2007-05-23 Henning Frydenlund Hansen , Alex Hansen

As a more practical setting for unsupervised domain adaptation, Universal Domain Adaptation (UDA) is recently introduced, where the target label set is unknown. One of the big challenges in UDA is how to determine the common label set…

Artificial Intelligence · Computer Science 2020-10-13 Yueming Yin , Zhen Yang , Xiaofu Wu , Haifeng Hu

We propose a model that explains the hierarchical organization of proteins in fold families. The model, which is based on the evolutionary selection of proteins by their native state stability, reproduces patterns of amino acids conserved…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Eugene I. Shakhnovich

Protein function prediction is currently achieved by encoding its sequence or structure, where the sequence-to-function transcendence and high-quality structural data scarcity lead to obvious performance bottlenecks. Protein domains are…

Biomolecules · Quantitative Biology 2024-12-03 Mingqing Wang , Zhiwei Nie , Yonghong He , Athanasios V. Vasilakos , Zhixiang Ren

A pattern Recognition of a probability distribution of amino acids is obtained for selected families of proteins. The mathematical model is derived from a theory of protein families formation which is derived from application of a Pauli's…

Biomolecules · Quantitative Biology 2016-11-18 R. P. Mondaini , S. C. de Albuquerque Neto

Domain shift across crowd data severely hinders crowd counting models to generalize to unseen scenarios. Although domain adaptive crowd counting approaches close this gap to a certain extent, they are still dependent on the target domain…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Zhipeng Du , Jiankang Deng , Miaojing Shi

Recent studies of in vitro evolution of DNA via protein binding indicate that the evolution behavior is qualitatively different in different parameter regimes. I here present a general theory that is valid for a wide range of parameters,…

Populations and Evolution · Quantitative Biology 2009-11-10 Morten Kloster

When domains, which represent underlying data distributions, vary during training and testing processes, deep neural networks suffer a drop in their performance. Domain generalization allows improvements in the generalization performance…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Toshihiko Matsuura , Tatsuya Harada

Protein is linked to almost every life process. Therefore, analyzing the biological structure and property of protein sequences is critical to the exploration of life, as well as disease detection and drug discovery. Traditional protein…

Machine Learning · Computer Science 2021-12-08 Yijia Xiao , Jiezhong Qiu , Ziang Li , Chang-Yu Hsieh , Jie Tang

Distribution shift presents a significant challenge in machine learning, where models often underperform during the test stage when faced with a different distribution than the one they were trained on. This paper focuses on domain shifts,…

Machine Learning · Computer Science 2024-03-19 Huaxiu Yao , Xinyu Yang , Xinyi Pan , Shengchao Liu , Pang Wei Koh , Chelsea Finn

Domain generalization (DG) aims to learn predictive models that can generalize to unseen domains. Most existing DG approaches focus on learning domain-invariant representations under the assumption of conditional distribution shift (i.e.,…

Machine Learning · Computer Science 2026-02-03 Jewon Yeom , Kyubyung Chae , Hyunggyu Lim , Yoonna Oh , Dongyoon Yang , Taesup Kim

When a posterior distribution has multiple modes, unconditional expectations, such as the posterior mean, may not offer informative summaries of the distribution. Motivated by this problem, we propose to decompose the sample space of a…

Methodology · Statistics 2012-03-05 Qing Zhou

We analyse a simple discrete-time stochastic process for the theoretical modeling of the evolution of protein lengths. At every step of the process a new protein is produced as a modification of one of the proteins already existing and its…

Populations and Evolution · Quantitative Biology 2009-11-13 C. Destri , C. Miccio

Domain generalization aims to develop models that are robust to distribution shifts. Existing methods focus on learning invariance across domains to enhance model robustness, and data augmentation has been widely used to learn invariant…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Yingnan Liu , Yingtian Zou , Rui Qiao , Fusheng Liu , Mong Li Lee , Wynne Hsu

Statistical models for families of evolutionary related proteins have recently gained interest: in particular pairwise Potts models, as those inferred by the Direct-Coupling Analysis, have been able to extract information about the…

Biomolecules · Quantitative Biology 2019-09-25 Kai Shimagaki , Martin Weigt