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A measure called Physical Complexity is established and calculated for a population of sequences, based on statistical physics, automata theory, and information theory. It is a measure of the quantity of information in an organism's genome.…

生物物理 · 物理学 2011-12-02 Gerard Briscoe , Philippe De Wilde

Diversity measurement underpins the study of biological systems, but measures used vary across disciplines. Despite their common use and broad utility, no unified framework has emerged for measuring, comparing and partitioning diversity.…

In this paper, association results from genome-wide association studies (GWAS) are combined with a deep learning framework to test the predictive capacity of statistically significant single nucleotide polymorphism (SNPs) associated with…

计算机与社会 · 计算机科学 2018-08-27 Casimiro Adays Curbelo Montañez , Paul Fergus , Almudena Curbelo Montañez , Carl Chalmers

Single nucleotide polymorphism (SNP) datasets are fundamental to genetic studies but pose significant privacy risks when shared. The correlation of SNPs with each other makes strong adversarial attacks such as masked-value reconstruction,…

机器学习 · 计算机科学 2025-10-08 Shadi Rahimian , Mario Fritz

In forensic genetics, short tandem repeats (STRs) are used for human identification (HID). Degraded biological trace samples with low amounts of short DNA fragments (low-quality DNA samples) pose a challenge for STR typing. Predefined…

We describe society as a nonequilibrium probabilistic system: N individuals occupy W resource states in it and produce entropy S over definite time periods. Resulting thermodynamics is however unusual because a second entropy, H, measures a…

综合金融 · 定量金融 2019-02-20 J. Rosenblatt

Single nucleotide polymorphisms (SNPs) often appear in clusters along the length of a chromosome. This is due to variation in local coalescent times caused by,for example, selection or recombination. Here we investigate whether…

生物物理 · 物理学 2016-09-08 A. Eriksson , B. Haubold , B. Mehlig

The diversity of the symbols of the information source is calculated following the definition that entropy is the information loss and following a new entropy-symbol similarity relation after the rejection of the Gibbs paradox statement.…

数据分析、统计与概率 · 物理学 2007-05-23 Shu-Kun Lin

The Shannon entropy is a fundamental measure for quantifying diversity and model complexity in fields such as information theory, ecology, and genetics. However, many existing studies assume that the number of species is known, an…

统计方法学 · 统计学 2026-02-23 Takato Hashino , Koji Tsukuda

Diversity can be broadly defined as the presence of meaningful variation across elements, which can be viewed from multiple perspectives, including statistical variation and geometric structural richness in the dataset. Existing diversity…

人工智能 · 计算机科学 2026-02-11 Yang Ba , Mohammad Sadeq Abolhasani , Michelle V Mancenido , Rong Pan

A discrete system's heterogeneity is measured by the R\'enyi heterogeneity family of indices (also known as Hill numbers or Hannah--Kay indices), whose units are {the numbers equivalent}. Unfortunately, numbers equivalent heterogeneity…

机器学习 · 统计学 2020-04-07 Abraham Nunes , Martin Alda , Timothy Bardouille , Thomas Trappenberg

Genome-Wide Association Studies (GWAS) explain only a small fraction of heritability for most complex human phenotypes. Genomic heritability estimates the variance explained by the SNPs on the whole genome using mixed models and accounts…

Although prospective logistic regression is the standard method of analysis for case-control data, it has been recently noted that in genetic epidemiologic studies one can use the ``retrospective'' likelihood to gain major power by…

统计方法学 · 统计学 2010-10-25 Nilanjan Chatterjee , Yi-Hau Chen , Sheng Luo , Raymond J. Carroll

Robust generalization to new concepts has long remained a distinctive feature of human intelligence. However, recent progress in deep generative models has now led to neural architectures capable of synthesizing novel instances of unknown…

人工智能 · 计算机科学 2022-10-10 Victor Boutin , Lakshya Singhal , Xavier Thomas , Thomas Serre

Recently, information theoretic analysis has become a popular framework for understanding the generalization behavior of deep neural networks. It allows a direct analysis for stochastic gradient/Langevin descent (SGD/SGLD) learning…

机器学习 · 统计学 2023-05-03 Yuxin Dong , Tieliang Gong , Hong Chen , Chen Li

The SNPs (Single Nucleotide Polymorphisms) genotyping platforms are of great value for gene mapping of complex diseases. Nowadays, the high-density of these molecular markers enables studies of dependence patterns between loci over the…

统计方法学 · 统计学 2013-02-25 André J. Bianchi , Suely R. Giolo , Júlia P. Soler , Florencia Leonardi

When testing for the association of a single SNP with a phenotypic response, one usually considers an additive genetic model, assuming that the mean of of the response for the heterozygous state is the average of the means for the two…

统计方法学 · 统计学 2025-01-07 Dominic Edelmann , Fernando Castro-Prado , Jelle J. Goeman

Numerous genotypic diversity measures (GDMs) are available in the literature to assess the convergence status of an evolutionary algorithm (EA) or describe its search behavior. In a recent study, the authors of this paper drew attention to…

神经与进化计算 · 计算机科学 2015-07-02 Guillaume Corriveau , Raynald Guilbault , Antoine Tahan , Robert Sabourin

Entropy, under a variety of names, has long been used as a measure of diversity in ecology, as well as in genetics, economics and other fields. There is a spectrum of viewpoints on diversity, indexed by a real parameter q giving greater or…

信息论 · 计算机科学 2017-09-05 Tom Leinster , Mark W. Meckes

The relationship between sequences and secondary structures or shapes in RNA exhibits robust statistical properties summarized by three notions: (1) the notion of a typical shape (that among all sequences of fixed length certain shapes are…

生物物理 · 物理学 2009-10-31 Peter Schuster , Walter Fontana