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Suppose that $k$ series, all having the same autocorrelation function, are observed in parallel at $n$ points in time or space. From a single series of moderate length, the autocorrelation parameter $\beta$ can be estimated with limited…

Statistics Theory · Mathematics 2008-10-23 Peter McCullagh

Self-supervised neural language models with attention have recently been applied to biological sequence data, advancing structure, function and mutational effect prediction. Some protein language models, including MSA Transformer and…

Biomolecules · Quantitative Biology 2022-10-25 Umberto Lupo , Damiano Sgarbossa , Anne-Florence Bitbol

We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees. We consider the case of specifications that are deterministic top-down tree automatic,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Christof Löding , Sarah Winter

Recent experiments show that transcription factors (TFs) indeed use the facilitated diffusion mechanism to locate their target sequences on DNA in living bacteria cells: TFs alternate between sliding motion along DNA and relocation events…

Quantitative Methods · Quantitative Biology 2015-07-10 Maximilian Bauer , Emil S. Rasmussen , Michael A. Lomholt , Ralf Metzler

Transcription factors regulate gene expression, but how these proteins recognize and specifically bind to their DNA targets is still debated. Machine learning models are effective means to reveal interaction mechanisms. Here we studied the…

Quantum Physics · Physics 2018-03-02 Richard Y. Li , Rosa Di Felice , Remo Rohs , Daniel A. Lidar

The intersection of artificial intelligence and bioinformatics has enabled significant advancements in drug discovery, particularly through the application of machine learning models. In this study, we present a combined approach using…

Biomolecules · Quantitative Biology 2024-08-15 Ricardo Romero

We explore for the first time the direct construction of string models on quantum annealers, and investigate their efficiency and effectiveness in the model discovery process. Through a thorough comparison with traditional methods such as…

High Energy Physics - Theory · Physics 2023-06-30 Steven A. Abel , Luca A. Nutricati , John Rizos

Transcription factor (TF) molecules translocate by facilitated diffusion (a combination of 3D diffusion around and 1D random walk on the DNA). Despite the attention this mechanism received in the last 40 years, only a few studies…

Subcellular Processes · Quantitative Biology 2013-09-20 Nicolae Radu Zabet , Boris Adryan

Data storage in DNA is developing as a possible solution for archival digital data. Recently, to further increase the potential capacity of DNA-based data storage systems, the combinatorial composite DNA synthesis method was suggested. This…

Information Theory · Computer Science 2024-05-28 Omer Sabary , Inbal Preuss , Ryan Gabrys , Zohar Yakhini , Leon Anavy , Eitan Yaakobi

A knowledge search is a key process for inventions. However, there is inadequate quantitative modeling of dynamic knowledge search processes and associated search costs. In this study, agent-based and complex network methodologies were…

Social and Information Networks · Computer Science 2024-05-13 Haiying Ren , Yuanyuan Song , Rui Peng

A deep neural network (DNN)-based model has been developed to predict non-parametric distributions of durations of phonemes in specified phonetic contexts and used to explore which factors influence durations most. Major factors in US…

Sound · Computer Science 2019-09-09 Xizi Wei , Melvyn Hunt , Adrian Skilling

In computational molecular biology, gene regulatory binding sites prediction in whole genome remains a challenge for the researchers. Now a days, the genome wide regulatory binding site prediction tools required either direct pattern…

Genomics · Quantitative Biology 2010-02-06 Chandra Prakash Singh , Feroz Khan , Sanjay Kumar Singh , Durg Singh Chauhan

For genetic algorithms using a bit-string representation of length~$n$, the general recommendation is to take $1/n$ as mutation rate. In this work, we discuss whether this is really justified for multimodal functions. Taking jump functions…

Neural and Evolutionary Computing · Computer Science 2017-03-23 Benjamin Doerr , Huu Phuoc Le , Régis Makhmara , Ta Duy Nguyen

A crucial step in the regulation of gene expression is binding of transcription factor (TF) proteins to regulatory sites along the DNA. But transcription factors act at nanomolar concentrations, and noise due to random arrival of these…

Molecular Networks · Quantitative Biology 2016-02-10 Thomas R. Sokolowski , Aleksandra M. Walczak , William Bialek , Gašper Tkačik

DNA sequence alignment involves assigning short DNA reads to the most probable locations on an extensive reference genome. This process is crucial for various genomic analyses, including variant calling, transcriptomics, and epigenomics.…

Evolution occurs in populations of reproducing individuals. In stochastic descriptions of evolutionary dynamics, such as the Moran process, individuals are chosen randomly for birth and for death. If the same type is chosen for both steps,…

Populations and Evolution · Quantitative Biology 2026-01-13 Michal Pecho , Josef Tkadlec , Martin A. Nowak

Inference with transformer-based language models begins with a prompt processing step. In this step, the model generates the first output token and stores the KV cache needed for future generation steps. This prompt processing step can be…

Computation and Language · Computer Science 2024-10-14 Maxwell Horton , Qingqing Cao , Chenfan Sun , Yanzi Jin , Sachin Mehta , Mohammad Rastegari , Moin Nabi

This paper presents a novel hybrid tokenization strategy that enhances the performance of DNA Language Models (DLMs) by combining 6-mer tokenization with Byte Pair Encoding (BPE-600). Traditional k-mer tokenization is effective at capturing…

Computation and Language · Computer Science 2025-07-25 Ganesh Sapkota , Md Hasibur Rahman

In genetic systems there is a non-trivial interface between the sequence of symbols which constitutes the chromosome, or ``genotype'', and the products which this sequence encodes --- the ``phenotype''. This interface can be thought of as a…

adap-org · Physics 2008-02-03 O. Angeles , C. Stephens , H. Waelbroeck

We study a minimal model for genome evolution whose elementary processes are single site mutation, duplication and deletion of sequence regions and insertion of random segments. These processes are found to generate long-range correlations…

Genomics · Quantitative Biology 2007-05-23 Philipp W. Messer , Peter F. Arndt , Michael Lässig