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EmpiricalDynamics: Empirical Discovery of Differential Equations from Time Series Data

A comprehensive toolkit for discovering differential and difference equations from empirical time series data using symbolic regression. The package implements a complete workflow from data preprocessing (including Total Variation Regularized differentiation for noisy economic data), visual exploration of dynamical structure, and symbolic equation discovery via genetic algorithms. It leverages a high-performance 'Julia' backend ('SymbolicRegression.jl') to provide industrial-grade robustness, physics-informed constraints, and rigorous out-of-sample validation. Designed for economists, physicists, and researchers studying dynamical systems from observational data.

Version: 0.1.2
Depends: R (≥ 4.0.0)
Imports: JuliaCall (≥ 0.17), CVXR (≥ 1.0), minpack.lm (≥ 1.2), signal (≥ 0.7), lmtest (≥ 0.9), tseries (≥ 0.10), ggplot2 (≥ 3.4.0), gridExtra (≥ 2.3), stats, graphics, grDevices, utils, methods
Suggests: osqp (≥ 0.6), ECOSolveR (≥ 0.5), testthat (≥ 3.0.0), knitr (≥ 1.40), rmarkdown (≥ 2.20), covr, mgcv
Published: 2026-01-16
DOI: 10.32614/CRAN.package.EmpiricalDynamics (may not be active yet)
Author: José Mauricio Gómez Julián ORCID iD [aut, cre]
Maintainer: José Mauricio Gómez Julián <isadore.nabi at pm.me>
BugReports: https://github.com/IsadoreNabi/EmpiricalDynamics/issues
License: MIT + file LICENSE
URL: https://github.com/IsadoreNabi/EmpiricalDynamics
NeedsCompilation: no
SystemRequirements: Julia (>= 1.6)
Materials: README
CRAN checks: EmpiricalDynamics results

Documentation:

Reference manual: EmpiricalDynamics.html , EmpiricalDynamics.pdf
Vignettes: Getting Started with EmpiricalDynamics (source, R code)

Downloads:

Package source: EmpiricalDynamics_0.1.2.tar.gz
Windows binaries: r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries: r-release (arm64): EmpiricalDynamics_0.1.2.tgz, r-oldrel (arm64): EmpiricalDynamics_0.1.2.tgz, r-release (x86_64): EmpiricalDynamics_0.1.2.tgz, r-oldrel (x86_64): EmpiricalDynamics_0.1.2.tgz

Linking:

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.