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Tests of the neutral evolution hypothesis are usually built on the standard null model which assumes that mutations are neutral and population size remains constant over time. However, it is unclear how such tests are affected if the last…

Populations and Evolution · Quantitative Biology 2013-07-02 Marina Rafajlović , Alexander Klassmann , Anders Eriksson , Thomas Wiehe , Bernhard Mehlig

We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate. Applying a limit of rare mutations to this population while keeping the population…

Probability · Mathematics 2011-12-05 Nicolas Champagnat , Amaury Lambert

We consider a population model where individuals behave independently from each other and whose genealogy is described by a chronological tree called splitting tree. The individuals have i.i.d. (non-exponential) lifetime durations and give…

Probability · Mathematics 2014-05-20 Mathieu Richard

We consider supervised learning with random decision trees, where the tree construction is completely random. The method is popularly used and works well in practice despite the simplicity of the setting, but its statistical mechanism is…

Machine Learning · Computer Science 2015-02-06 Mariusz Bojarski , Anna Choromanska , Krzysztof Choromanski , Yann LeCun

Recent research in deep learning-based Sound Event Detection (SED) has primarily focused on Convolutional Recurrent Neural Networks (CRNNs) and Transformer models. However, conventional 2D convolution-based models assume shift invariance…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-17 Hyeonuk Nam

Phoneme frequency distributions exhibit robust statistical regularities across languages, including exponential-tailed rank-frequency patterns and a negative relationship between phonemic inventory size and the relative entropy of the…

Computation and Language · Computer Science 2026-03-11 Fermín Moscoso del Prado Martín , Suchir Salhan

Many biological characteristics of evolutionary interest are not scalar variables but continuous functions. Given a dataset of function-valued traits generated by evolution, we develop a practical statistical approach to infer ancestral…

Non-selective effects, like genetic drift, are an important factor in modern conceptions of evolution, and have been extensively studied for constant population sizes. Here, we consider non-selective evolution in the case of growing…

Populations and Evolution · Quantitative Biology 2017-09-04 Karl Wienand , Matthias Lechner , Felix Becker , Heinrich Jung , Erwin Frey

Multiple testing has been a popular topic in statistical research. Although vast works have been done, controlling the false discoveries remains a challenging task when the corresponding test statistics are dependent. Various methods have…

Statistics Theory · Mathematics 2022-07-05 Meng Mei , Tao Yu , Yuan Jiang

Many studies have analyzed how variability in reproductive success affects fitness. However, each study tends to focus on a particular problem, leaving unclear the overall structure of variability in populations. This fractured conceptual…

Populations and Evolution · Quantitative Biology 2011-11-08 Steven A. Frank

Both genetic drift and natural selection cause the frequencies of alleles in a population to vary over time. Discriminating between these two evolutionary forces, based on a time series of samples from a population, remains an outstanding…

Populations and Evolution · Quantitative Biology 2013-12-09 Alison Feder , Sergey Kryazhimskiy , Joshua B. Plotkin

This paper investigates the natural density and structural relationships within Fibonacci words, the density of a Fibonacci word is $\operatorname{DF}(F_k)=n/(n+m),$ where $m$ denote the number of zeros in a Fibonacci word and $n$ denote…

Combinatorics · Mathematics 2025-10-29 Duaa Abdullah , Jasem Hamoud

Social network structures play an important role in the lives of animals by affecting individual fitness and the spread of disease and information. Nevertheless, we still lack a good understanding of how these structures emerge from the…

Physics and Society · Physics 2026-02-16 Josefine Bohr Brask , Andreas Koher , Darren P. Croft , Sune Lehmann

Detection of false-positive motifs is one of the main causes of low performance in motif finding methods. It is generally assumed that false-positives are mostly due to algorithmic weakness of motif-finders. Here, however, we derive the…

Genomics · Quantitative Biology 2010-12-23 Amin Zia , Alan M. Moses

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

Populations and Evolution · Quantitative Biology 2022-08-23 Brian Mintz , Feng Fu

We consider a Moran-type model of cultural evolution, which describes how traits emerge, are transmitted, and get lost in populations. Our analysis focuses on the underlying cultural genealogies; they were first described by Aguilar and…

Populations and Evolution · Quantitative Biology 2026-02-04 Joe Yuichiro Wakano , Hisashi Ohtsuki , Yutaka Kobayashi , Ellen Baake

Mutations in a microbial population can increase the frequency of a genotype not only by increasing its exponential growth rate, but also by decreasing its lag time or adjusting the yield (resource efficiency). The contribution of multiple…

Populations and Evolution · Quantitative Biology 2018-02-15 Michael Manhart , Bharat V. Adkar , Eugene I. Shakhnovich

The concept of fitness is central to evolution, but it quantifies only the expected number of offspring an individual will produce. The actual number of offspring is also subject to noise, arising from environmental or demographic…

Populations and Evolution · Quantitative Biology 2022-09-07 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

In high-dimensional regression, feature selection methods, such as sequential feature selection (SeqFS), are commonly used to identify relevant features. When data is limited, domain adaptation (DA) becomes crucial for transferring…

Machine Learning · Statistics 2025-01-20 Duong Tan Loc , Nguyen Thang Loi , Vo Nguyen Le Duy

Quantifying the similarity between symbolic sequences is a traditional problem in Information Theory which requires comparing the frequencies of symbols in different sequences. In numerous modern applications, ranging from DNA over music to…

Physics and Society · Physics 2016-04-18 Martin Gerlach , Francesc Font-Clos , Eduardo G. Altmann
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