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The accumulation of beneficial mutations on many competing genetic backgrounds in rapidly adapting populations has a striking impact on evolutionary dynamics. This effect, known as clonal interference, causes erratic fluctuations in the…

Populations and Evolution · Quantitative Biology 2013-05-31 Katya Kosheleva , Michael Desai

Genomic evolution can be viewed as string-editing processes driven by mutations. An understanding of the statistical properties resulting from these mutation processes is of value in a variety of tasks related to biological sequence data,…

Information Theory · Computer Science 2018-12-07 Hao Lou , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

Tensor neural networks (TNNs) have demonstrated their superiority in solving high-dimensional problems. However, similar to conventional neural networks, TNNs are also influenced by the Frequency Principle, which limits their ability to…

Machine Learning · Computer Science 2026-05-15 Jizu Huang , Yue Qiu , Rukang You

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

Populations and Evolution · Quantitative Biology 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

Weak selection, which means a phenotype is slightly advantageous over another, is an important limiting case in evolutionary biology. Recently it has been introduced into evolutionary game theory. In evolutionary game dynamics, the…

Populations and Evolution · Quantitative Biology 2010-10-15 Bin Wu , Philipp M. Altrock , Long Wang , Arne Traulsen

Due to the vast testing space, the increasing demand for effective and efficient testing of deep neural networks (DNNs) has led to the development of various DNN test case prioritization techniques. However, the fact that DNNs can deliver…

Software Engineering · Computer Science 2024-09-17 Jialuo Chen , Jingyi Wang , Xiyue Zhang , Youcheng Sun , Marta Kwiatkowska , Jiming Chen , Peng Cheng

A defining feature of human culture is that knowledge and technology continually improve over time. Such cumulative cultural evolution (CCE) probably depends far more heavily on how reliably information is preserved than on how efficiently…

Physics and Society · Physics 2020-10-07 Marcel Montrey , Thomas R. Shultz

In 1932, Paul Erdos asked whether a random walk constructed from a binary sequence can achieve the lowest possible deviation (lowest discrepancy), for the sequence itself and for all its subsequences formed by homogeneous arithmetic…

Genomics · Quantitative Biology 2018-10-31 Wentian Li , Dimitrios Thanos , Astero Provata

Phylodynamics seeks to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. One way to accomplish this task formulates an observed sequence data likelihood exploiting…

We use a dataset of U.S. first names with labels based on predominant gender and racial group to examine the effect of training corpus frequency on tokenization, contextualization, similarity to initial representation, and bias in BERT,…

Computers and Society · Computer Science 2021-10-05 Robert Wolfe , Aylin Caliskan

Human populations have experienced dramatic growth since the Neolithic revolution. Recent studies that sequenced a very large number of individuals observed an extreme excess of rare variants, and provided clear evidence of recent rapid…

Populations and Evolution · Quantitative Biology 2015-06-17 Elodie Gazave , Li Ma , Diana Chang , Alex Coventry , Feng Gao , Donna Muzny , Eric Boerwinkle , Richard Gibbs , Charles F. Sing , Andrew G. Clark , Alon Keinan

Predicting vulnerable source code helps to focus attention on those parts of the code that need to be examined with more scrutiny. Recent work proposed the use of function names as semantic cues that can be learned by a deep neural network…

Cryptography and Security · Computer Science 2022-02-08 David Binkley , Leon Moonen , Sibren Isaacman

We investigate the evolutionary dynamics of a population structured in phenotype, subjected to trait dependent selection with a linearly moving optimum and an asexual mode of reproduction. Our model consists of a non-local and non-linear…

Analysis of PDEs · Mathematics 2021-12-09 Raphaël Forien , Jimmy Garnier , Florian Patout

In this paper we develop a theory of general selection systems with discrete time and explore the evolution of selection systems, in particular, inhomogeneous populations. We show that the knowledge of the initial distribution of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Georgy P. Karev

The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

Methodology · Statistics 2023-11-10 Mehdi Rostami , Olli Saarela

The study of cultural evolution seeks to understand the processes by which behavioral variants are chosen in cultures over time, often as the result of large numbers of individual human choices. The selection of new popes, each of whom…

Populations and Evolution · Quantitative Biology 2026-05-11 Egor Lappo , Noah A. Rosenberg

Continuous word representation (aka word embedding) is a basic building block in many neural network-based models used in natural language processing tasks. Although it is widely accepted that words with similar semantics should be close to…

Computation and Language · Computer Science 2020-03-18 Chengyue Gong , Di He , Xu Tan , Tao Qin , Liwei Wang , Tie-Yan Liu

By introducing the notions of living and dead nodes a new model of random tree evolution with continuous time parameter has been constructed. It is assumed that two random variables, the lifetime and the offspring number of living nodes…

Statistical Mechanics · Physics 2007-05-23 L. Pal

Pervasive natural selection can strongly influence observed patterns of genetic variation, but these effects remain poorly understood when multiple selected variants segregate in nearby regions of the genome. Classical population genetics…

Populations and Evolution · Quantitative Biology 2013-06-06 Benjamin H. Good , Aleksandra M. Walczak , Richard A. Neher , Michael M. Desai

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau