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Mathematics & Statistics

Mathematical datasets, statistical benchmarks, probability, optimization, operations research

3,062 datasets

TbGOS02: Fluorescent and Brightfield Images of Trypanosoma Brucei Cells

120 images captured using a novel Fluorescence in Live Trypanosome (FILT) setup, comprising 60 fluorescent and 60 brightfield frames. The dataset includes images of a field of 88 cells and cropped sequences for four individual cells. Author Yanika Borg's work, referenced in a 2015 thesis and a 2021 study, is linked to this data.

ImageTrypanosoma BruceiFluorescence ImagingComputer VisionMicroscopySynthetic BiologyCell BiologySynthetic+1

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Mathematics & Statistics

Information Integration in Large Brain Networks: A MATLAB Toolbox

Daniel Toker from the University of California, Berkeley provides a MATLAB toolbox for calculating integrated information in large brain networks from multivariate Gaussian data. The code implements spectral clustering, Queyranne, and Replica Exchange Markov Chain Monte Carlo algorithms. Instructions for use are included in a demo file.

TabularInformation IntegrationBrain NetworksComputational ToolboxNeuroscience+1

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Mathematics & Statistics

CT Reconstruction Data for Bayesian Geometry Uncertainty Study

Three datasets accompany the preprint 'A Bayesian Approach to CT Reconstruction with Uncertain Geometry' by Frederik H. Pedersen, Jakob S. Jørgensen, and Martin S. Andersen from the Technical University of Denmark. The datafiles are provided as MATLAB .mat files to reproduce the paper's results and figures. Each file corresponds to one of the three cases presented in the paper.

TabularBayesian InferenceReconstructionMedical ImagingTomographyGeometry UncertaintyCt ReconstructionComputed Tomography+1

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Mathematics & Statistics

Heating Rates for Protons and Electrons in Polar Coronal Holes

Astrophysical data from the Ultraviolet Coronagraph Spectrometer on the SOHO satellite supports research into solar coronal heating. The dataset includes empirical constraints and Monte Carlo trial model properties for a study published in the Astrophysical Journal in 2020. It was created by Steven R. Cranmer at the University of Colorado Boulder.

TabularSolar PhysicsCoronal HeatingMonte CarloAstrophysicsUvcs Soho+1

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Mathematics & Statistics

Weakly Electric Fish Active Sensing Movements Under Open- and Closed-Loop Control

Johns Hopkins University LIMBS laboratory collected data from experiments with Eigenmannia virescens fish tracking a moving refuge in 2016. The dataset includes raw and processed files for open- and closed-loop control experiments, alongside MATLAB analysis scripts. It supports the findings of the publication "Closed-Loop Control of Active Sensing Movements Regulates Sensory Slip" from Current Biology, 2018.

TabularTime SeriesAnimal BehaviorSensory Motor ControlNeuroscienceElectrophysiologyExperimental Data+1

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Mathematics & Statistics

Bayesian Parameter Estimates for Relativistic Heavy-Ion Collisions

Data supporting Bayesian parameter estimation of a computational model for relativistic heavy-ion collisions, as described in the author's dissertation. The repository contains parameter design files, model calculations, experimental data, and posterior distribution samples. It is intended for use with the associated analysis code from Duke University.

TabularComputational PhysicsBayesian EstimationQuark Gluon PlasmaHeavy Ion CollisionsSynthetic+1

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Mathematics & Statistics

Osprey Feeding Behavior Data from 12 Nests, Summer 2016

365 feeding events at the nests of 12 osprey pairs collected via public webcams from 11 June to 5 September 2016. The data details prey condition, chick age, and parent presence, compiled by Megan Howard at the University of Leeds. Associated files include daily summaries, nest location data, and R analysis code.

TabularGeospatialAnimal BehaviorFeeding EventsNest ObservationWebcam DataOrnithology+1

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Mathematics & Statistics

Enzymatic Synthesis of Butyl Butyrate: Kinetic and Thermodynamic Analysis

Deblina Sengupta's dataset from 2026 documents the intensified enzymatic synthesis of butyl butyrate, a prospective aviation biofuel. It includes kinetic and thermodynamic analysis data, such as optimal reaction conditions (44.0°C, 5.6h) and parameters from Bayesian MCMC modeling. The dataset is shared under a CC-BY-4.0 license on figshare.

TabularEnzyme KineticsBayesian McmcBenchmarkBiofuel SynthesisThermodynamic AnalysisGreen Metrics+1

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Mathematics & Statistics

Adaptive Time-Series Jitter Predictor and C++ Signal Damping Harness

Jamie Davis provides an adaptive time-series predictive engine and C++ execution harness designed to stabilize signal processing architectures. The dataset includes a C++ implementation file for processing irregular, high-jitter telemetry feeds. It was last updated on 2026-05-28.

TextTime SeriesC Plus PlusBenchmarkSignal ProcessingNetwork TelemetrySynthetic+1

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Mathematics & Statistics

Adaptive PPG Motion Artifact Cancellation Filter and Biometric Signal Isolation Engine

Jamie Davis provides a C++ implementation of an adaptive Photoplethysmography (PPG) motion artifact cancellation filter. The system is designed for consumer wearables and remote medical telemetry to isolate true blood volume pulse waves from movement noise. The dataset includes a 9.0 KB C++ source file implementing the filter and a simulation harness.

TextBiomedical Signal ProcessingWearable SensorsHealthcarePhotoplethysmographyMotion Artifact CancellationHeart Rate Variability+1

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Mathematics & Statistics

Fitzroy River Basin Sediment Sources and Geochemical Time Series

Geochemical and modelling data identify sediment sources in the Fitzroy River coastal zone. The study uses Bayesian statistical modelling to reveal changes in catchment sediment sources over the Holocene. Data were aggregated by the Australian Ocean Data Network.

Time SeriesGeospatialHydrological ModellingCoastal ZoneSediment SourcesGeochemistryLand Use Impact+1

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Mathematics & Statistics

Keppel Bay Seabed Sediment Classification and Geomorphology

Australian Ocean Data Network provides a study of sediment distribution in Keppel Bay, Central Queensland. The dataset likely contains results from sediment sampling and acoustic seabed mapping, classifying sediments into five distinct classes. The data was last updated on 2026-06-16.

AudioGeospatialSediment TransportMarine ScienceCoastal ZoneGeomorphologySeabed Mapping+1

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Mathematics & Statistics

Multi-Objective Optimization Data for Variable Thickness Hybrid Composite Laminates

Han Wang published a dataset on figshare in 2026, associated with a paper proposing a multi-objective optimization framework. The dataset likely contains simulation and optimization results for variable thickness hybrid composite laminates, with a total size of 22.8 MB. The framework combines a back-propagation neural network trained on finite element simulation data with a non-dominated sorting genetic algorithm.

TabularGenetic AlgorithmMulti Objective OptimizationStructural DesignComposite LaminatesNeural Network+1

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Mathematics & Statistics

Helmholtz Filter and Projection Parameter Validation Data for Topology Optimization

Abraham Vadillo Morillas deposited MATLAB code and validation datasets to reproduce results for a journal article under review. The repository includes raw one-dimensional sweeps, two-threshold surface sweeps, mesh-resolution studies, and records from a 5,600-case two-dimensional validation campaign. The data supports a methodology for independently prescribing minimum solid and void length scales in robust three-field topology optimization.

TabularValidation DataComputational DesignHelmholtz FilterTopology OptimizationMatlab Code+1

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Mathematics & Statistics

Davis Logic V2: Invariant Fixed-Point Temporal Synchronization Engine

DL-V2-TEMPORAL-ALIGN is a 1.7 KB open-access reference dataset for deterministic hardware clock alignment. Authored by Jamie Davis and released in 2026, it provides a branchless fixed-point calculation engine designed to eliminate computational lag and execution jitter in asynchronous multi-sensor systems.

TextTime SeriesTelemetryFixed Point ArithmeticTemporal SynchronizationHardware ClockEmbedded Systems+1

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Mathematics & Statistics

Average Band D Council Tax for English Local Authorities, 2012-13

Revised details of the level of council tax set by local authorities in England for the 2012-13 financial year, announced on 9 May 2012. The data uses the Band D measure as a standard for comparing tax levels between authorities, as it is not affected by the varying distribution of property bands. The dataset is provided by the Greater London Authority and was last updated in the platform on 2026-06-24.

Tabular🇬🇧 United KingdomCouncil TaxTaxationLocal GovernmentPublic Finance+1

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Mathematics & Statistics

Marginal Microbial Infiltration in Coronary Double Sealing: 30-Day In Vitro Study

A 30-day in vitro study by Lauren Fernanda Parron evaluated microbial coronal leakage using human premolars. The experiment tested provisional restorative cements Bioplic®, Maxxion R®, and Coltosol® in various combinations against Enterococcus faecalis. Results showed infiltration in all groups, with some occurring as early as 5 days.

TabularEnterococcus faecalisProvisional CementsMicrobial InfiltrationDental ResearchCoronal Sealing+1

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Mathematics & Statistics

CEO Health Service User Satisfaction Survey in Pernambuco, Brazil

Bruno Gama Magalhães conducted a quantitative study analyzing user satisfaction with the quality of services at CEOs (Specialized Dental Centers) in Pernambuco, Brazil. The dataset likely contains survey responses from 156 users present in waiting rooms who had undergone at least one clinical procedure. Data analysis was performed using SPSS version 13.0, employing descriptive and analytical statistics including Pearson's χ2 test at a 5% significance level.

Tabular🇧🇷 BrazilQuantitative StudyDonabedian ModelHealth ServicesBenchmarkHealthcareUser Satisfaction+1

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Mathematics & Statistics

Air Pollutant and Respiratory Hospitalization Data for Taubaté, Brazil, 2011-2012

Taubaté, Brazil, hospitalization data for respiratory diseases from August 2011 to July 2012, linked with estimated daily concentrations of air pollutants (CO, PM2.5, O3, NOx) and meteorological variables. The dataset contains 352 admissions and was used in a Poisson regression analysis to quantify health risks, finding a 17% increased hospitalization risk for a 3µg/m³ rise in nitrogen oxides. The research was conducted by Vanessa Villalta Lima Roman using data from Datasus and pollutant estimates from the CATT-BRAMS model.

TabularTime Series🇧🇷 BrazilAir PollutionTime Series AnalysisEnvironmental EpidemiologyRespiratory Health+1

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Mathematics & Statistics

Parent-Child Communication Behaviors in Hearing Loss, 18 Recorded Interactions

18 recorded interactions between hearing parents and their children or adolescents with hearing loss were analyzed using a 22-behavior checklist. The data was collected by Laura Mochiatti Guijo from nine children and nine adolescents with bilateral sensorineural pre-lingual hearing impairment, all involved in an aural rehabilitation program. Interactions were scored on a Likert scale by three judges, achieving a 97.8% inter-rater agreement.

TabularCommunication BehaviorsParent Child InteractionHearing LossAuditory RehabilitationClinical Study+1

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