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Mathematical datasets, statistical benchmarks, probability, optimization, operations research
2,490 datasets
A collection of mathematical modeling results from a study investigating aerodynamic and structural controls on yardang development. The research proposes that yardang aspect ratios are primarily controlled by the lateral expansion of wind and sediments, predicting ratios in the 5 to 10 range. The model combines physics of boundary layer flow, abrasion, and water-driven erosion to understand morphology.
Data from David A. Baum's study provides statistical evidence for common ancestry in primates. The dataset supports formal methods to quantify support for common ancestry over separate ancestry hypotheses. It includes morphological, molecular, and biogeographic data used to reject separate ancestry with infinitesimal p-values.
2020 research data by Lam-Tung Nguyen evaluates parameter estimation for the invariable site plus discrete Gamma model in phylogenetics. The dataset supports analysis of model identifiability and optimization heuristic performance for shape parameter, proportion of invariable sites, and tree length.
Comprising simulation results used to evaluate the performance of seven statistical methods for detecting linear barriers to gene flow. The study compared methods including Monmonier's algorithm, WOMBLING, TESS, GENELAND, STRUCTURE, PSMIX, and DAPC under varying conditions like dispersal ability and genetic equilibrium. It was authored by Christopher Blair and published in 2020.
This dataset originates from experiments and modeling of a stochastic subcritical Hopf bifurcation in a thermoacoustic combustion system. It examines the effect of a finite ramping rate of the bifurcation parameter on tipping points, compared to quasi-steady changes. The data provides evidence of rate-dependent bifurcation delay and dynamic hysteresis.
2020 research data from Kevin J. Black presents simulated and preliminary fMRI data for testing a novel rapid quantitative pharmacodynamic imaging method. The dataset supports the development of techniques to estimate quantitative drug sensitivity parameters like EC50 from imaging time-series. It includes results from simulation testing and proof-of-principle fMRI studies in primates using a dopamine agonist.
Data from a study presenting SimBa-SAl, a simulation-based approach to statistical alignment inference. The method uses an explicit continuous Markov process for insertion-deletion and substitution events, developed by author Eli Levy Karin and published in 2020. It enables the computation of maximum-likelihood alignments and sampling of alternative alignments according to their probability.
Encompassing quantitative time-resolved measurements of TGFβ pathway activation at the single-cell level. The study uses dynamic time warping to compare signaling dynamics across thousands of individual cells and describes heterogeneous responses via mathematical modeling.
A field experiment in early-successional temperate grassland investigated how soil nutrient supply influences niche-based versus stochastic community assembly. The study manipulated nutrient availability, sowed individual seed mixtures with 25 species per plot, and used null models of beta diversity to analyze compositional variation. Results demonstrate that nutrient availability dictates the dominance of deterministic environmental filtering versus stochastic immigration and extinction processes.
A 2020 mathematical model and bifurcation analysis by Anel Nurtay investigates conditions for the stable coexistence of wild-type and mutant viral strains. The study formulates coexistence based on basic reproductive numbers, mutation rate limits, and pathogen virulence, dividing parameter space into five distinct dynamic regions.
This dataset supports an R package (QstFstComp) that extends statistical methods for comparing QST and FST, measures of quantitative genetic and neutral differentiation. The method specifically accommodates unbalanced datasets and half-sib designs related through mothers, addressing limitations of prior approaches. It was authored by Kimberly J. Gilbert and made available in 2020.
Numerical results from four Monte Carlo simulation methods applied to uncertainty quantification for particle travel times in heterogeneous porous media. The data was generated by David Crevillen-Garcia in 2020 to compare the computational cost and accuracy of Monte Carlo, quasi-Monte Carlo, multilevel Monte Carlo, and multilevel quasi-Monte Carlo methods. It supports analysis of mean square error and computational efficiency for three different error tolerances.
Data from a 2020 study by Bradley J. Nelson exploring the effect of informed prior distributions on Bayesian phylogenetic branch-length estimates. The dataset supports comparisons between default and informed settings for exponential and compound Dirichlet priors. It is intended for researchers investigating prior sensitivity in phylogenetics.
Simulation data from 2020 supports analysis of long branch attraction bias in Bayesian phylogenetic methods. The dataset, authored by Edward Susko, includes results validating the bias across more taxa and partially resolved trees, with proposed correction methods.
Diffusion MRI data from fixed rat brain and spinal cord, normal human brain, and a physical phantom was acquired for evaluating diffusion kurtosis imaging contrasts and optimizing b-values. The dataset, authored by Brian Hansen and released in 2020, includes acquisitions from 9.4T, 16.4T, and 3T scanners. It supports exploration of diffusion parameter contrasts and kurtosis fractional anisotropy.
Zhytomyr District Council data on the receipt and consideration of public information requests. The dataset likely contains statistical information on request volumes and outcomes. It was published by the States site of Ukraine and last updated on July 1, 2020.
Ukrainian state institution data from the ICYO system, published by the States site of Ukraine. The dataset likely contains reference information and statistical reporting for institutions. It was last updated on February 4, 2020.
Daily gap-free sea surface temperature maps for the Black Sea at a 0.0625-degree horizontal resolution. Data is derived from satellite infrared radiometer measurements and statistical interpolation, produced as part of the Copernicus Marine Environment Monitoring Service nominal operational product. The dataset is archived by NOAA's National Centers for Environmental Information, with a specific record provided for September 18, 2019.
2019 imagery of proton auroras near the polar cap region observed at Jang Bogo Station, Antarctica. The dataset was contributed by the organization AMD_KOPRI and last updated on NASA's Earthdata platform in September 2019. It was collected to study the statistical characteristics of proton aurora and magnetosphere-ionosphere interactions in the southern polar cap.