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In spatial statistics and machine learning, the kernel matrix plays a pivotal role in prediction, classification, and maximum likelihood estimation. A thorough examination reveals that for large sample sizes, the kernel matrix becomes…

Machine Learning · Statistics 2023-11-07 Hao Zhang

Real-valued genotypes together with the variation operators, mutation and crossover, constitute some of the fundamental building blocks of Evolutionary Algorithms. Real-valued genotypes are utilized in a broad range of contexts, from…

Neural and Evolutionary Computing · Computer Science 2020-05-20 Jørgen Nordmoen , Tønnes Frostad Nygaard , Eivind Samuelsen , Kyrre Glette

The design and the implementation of a genetic algorithm are described. The applicability domain is on structure-activity relationships expressed as multiple linear regressions and predictor variables are from families of structure-based…

Neural and Evolutionary Computing · Computer Science 2009-06-29 Lorentz Jantschi

Mapping genotypes to phenotypes (G2P) is a fundamental goal in biology. So called PhyloG2P methods are a relatively new set of tools that leverage replicated evolution in phylogenetically independent lineages to identify genomic regions…

Populations and Evolution · Quantitative Biology 2025-10-20 Arlie R. Macdonald , Maddie E. James , Jonathan D. Mitchell , Barbara R. Holland

Organismal phenotypes emerge from a complex set of genotypic interactions. While technological advances in sequencing provide a quantitative description of an organism's genotype, characterization of an organism's physical phenotype lags…

Biological Physics · Physics 2020-10-15 Vasyl Alba , James E. Carthew , Richard W. Carthew , Madhav Mani

Matching is an important tool in causal inference. The method provides a conceptually straightforward way to make groups of units comparable on observed characteristics. The use of the method is, however, limited to situations where the…

Methodology · Statistics 2019-06-18 Fredrik Sävje , Michael J. Higgins , Jasjeet S. Sekhon

Causal discovery, the task of inferring causal structure from data, has the potential to uncover mechanistic insights from biological experiments, especially those involving perturbations. However, causal discovery algorithms over larger…

Machine Learning · Computer Science 2025-04-01 Menghua Wu , Yujia Bao , Regina Barzilay , Tommi Jaakkola

Mutation and recombination operators play a key role in determining the speed and quality of Genetic and Evolutionary Algorithms (GEAs). Prior work has analyzed the effects of these operators on genotypic variation, often using locality…

Neural and Evolutionary Computing · Computer Science 2020-10-30 Hrishee Shastri , Eitan Frachtenberg

Estimating output changes by input changes is the main task in causal analysis. In previous work, input and output Self-Organizing Maps (SOMs) were associated for causal analysis of multivariate and nonlinear data. Based on the association,…

Computer Vision and Pattern Recognition · Computer Science 2017-03-28 Younjin Chung , Joachim Gudmundsson , Masahiro Takatsuka

Clearing is a niching method inspired by the principle of assigning the available resources among a niche to a single individual. The clearing procedure supplies these resources only to the best individual of each niche: the winner. So far,…

Neural and Evolutionary Computing · Computer Science 2021-01-29 Edgar Covantes Osuna , Dirk Sudholt

In many models of genotypic evolution, the vector of genotype populations satisfies a system of linear ordinary differential equations. This system of equations models a competition between differential replication rates (fitness) and…

Populations and Evolution · Quantitative Biology 2009-11-13 Charles L. Epstein

We describe a design principle for adaptive systems under which adaptation is driven by particular challenges that the environment poses, as opposed to average or otherwise aggregated measures of performance over many challenges. We trace…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Lee Spector , Li Ding , Ryan Boldi

The evolutionary dynamics of molecular populations are strongly dependent on the structure of genotype spaces. The map between genotype and phenotype determines how easily genotype spaces can be navigated and the accessibility of…

Populations and Evolution · Quantitative Biology 2019-07-03 Juan Antonio García-Martín , Pablo Catalán , Susanna Manrubia , José A. Cuesta

Genetic Algorithms have established their capability for solving many complex optimization problems. Even as good solutions are produced, the user's understanding of a problem is not necessarily improved, which can lead to a lack of…

Neural and Evolutionary Computing · Computer Science 2024-07-10 GianCarlo Catalano , Alexander E. I. Brownlee , David Cairns , John McCall , Russell Ainslie

Preliminary spacecraft trajectory optimization is a parameter dependent global search problem that aims to provide a set of solutions that are of high quality and diverse. In the case of numerical solution, it is dependent on the original…

Optimization and Control · Mathematics 2024-12-31 Ryne Beeson , Anjian Li , Amlan Sinha

A procedure to characterize chaotic dynamical systems with concepts of complex networks is pursued, in which a dynamical system is mapped onto a network. The nodes represent the regions of space visited by the system, while edges represent…

Statistical Mechanics · Physics 2011-12-20 Ernesto P. Borges , Daniel O. Cajueiro , Roberto F. S. Andrade

A mechanism deriving new well-posed evolutionary equations from given ones is inspected. It turns out that there is one particular spatial operator from which many of the standard evolutionary problems of mathematical physics can be…

Analysis of PDEs · Mathematics 2014-01-23 Rainer Picard , Sascha Trostorff , Marcus Waurick

A spatial co-location pattern represents a subset of spatial features whose instances are prevalently located together in a geographic space. Although many algorithms of mining spatial co-location pattern have been proposed, there are still…

Databases · Computer Science 2020-04-23 Xin Hu , Guoyin Wang , Jiangli Duan

The relationship between microscopic observations and macroscopic behavior is a fundamental open question in biophysical systems. Here, we develop a unified approach that---in contrast with existing methods---predicts cell type from…

Genomics · Quantitative Biology 2020-03-31 Thomas P. Wytock , Adilson E. Motter

Complementarity among species with different traits is one of the basic processes affecting biodiversity, defined as the number of species in the ecosystem. We present here a soluble model ecosystem in which the species are characterized by…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari