Dependency Packages
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DifferentialEquations.jl2503Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
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DSGE.jl798Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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DiffEqFlux.jl771Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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NeuralPDE.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralNetDiffEq.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DynamicalSystems.jl725Award winning software library for nonlinear dynamics and nonlinear timeseries analysis
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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QuantEcon.jl465Julia implementation of QuantEcon routines
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QuantumOptics.jl459Library for the numerical simulation of closed as well as open quantum systems.
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GeoStats.jl414An extensible framework for high-performance geostatistics in Julia
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Soss.jl401Probabilistic programming via source rewriting
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SymbolicRegression.jl377Distributed High-Performance symbolic regression in Julia
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StatisticalRethinking.jl366Julia package with selected functions in the R package `rethinking`. Used in the SR2... projects.
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DiffEqBiological.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
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DFTK.jl337Density-functional toolkit
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GaussianProcesses.jl298A Julia package for Gaussian Processes
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Modia.jl298Modeling and simulation of multidomain engineering systems
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SciMLSensitivity.jl248A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
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DiffEqSensitivity.jl248A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
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StateSpaceModels.jl235StateSpaceModels.jl is a Julia package for time-series analysis using state-space models.
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StochasticDiffEq.jl200Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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LowRankModels.jl185LowRankModels.jl is a julia package for modeling and fitting generalized low rank models.
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ChaosTools.jl183Tools for the exploration of chaos and nonlinear dynamics
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Caesar.jl173Robust robotic localization and mapping, together with www.NavAbility.io. Reach out to info@navability.io for help.
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ReservoirComputing.jl172Reservoir computing utilities for scientific machine learning (SciML)
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BAT.jl164A Bayesian Analysis Toolkit in Julia
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HomotopyContinuation.jl159A Julia package for solving systems of polynomials via homotopy continuation.
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TuringModels.jl153Implementations of the models from the Statistical Rethinking book with Turing.jl
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TopOpt.jl141A beautifully Julian topology optimization package.
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DiffEqBayes.jl117Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning
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TSAnalysis.jl113A Julia implementation of basic tools for time series analysis compatible with incomplete data.
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GameTheory.jl111Algorithms and data structures for game theory in Julia
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ControlSystemIdentification.jl108System Identification toolbox for LTI systems, compatible with ControlSystems.jl
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ClimateTools.jl108Climate science package for Julia
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Causal.jl102Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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Mads.jl94MADS: Model Analysis & Decision Support
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ARCHModels.jl79A Julia package for estimating ARMA-GARCH models.
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BayesianOptimization.jl77Bayesian optimization for Julia
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