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Merge pull request #198 from ChrisRackauckas-Claude/fix-broken-analysis-links-issue-197
Fix broken analysis documentation links
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news/2018/01/24/Parameters.md

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@@ -173,7 +173,7 @@ use this guide and request new additions as necessary!
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Adjoint sensitivity analysis lets you directly solve for the derivative of some
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functional of the differential equation solution, such as a cost function in
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an optimization problem.
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[DifferentialEquations.jl now has a package-independent adjoint sensitivity analysis implementation](https://diffeq.sciml.ai/latest/analysis/sensitivity) that lets you use any of the common
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[DifferentialEquations.jl now has a package-independent adjoint sensitivity analysis implementation](https://docs.sciml.ai/SciMLSensitivity/stable/) that lets you use any of the common
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interface ODE solvers to perform this analysis. While there are more optimizations
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which still need to be done in this area, this will be a useful feature for those
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looking to perform optimization on the ODE solver.
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maximum likelihood estimation under the assumption of a Normal likelihood, this
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is constrained to very specific likelihood functions (Normal). Now our tools
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allow for giving a likelihood distribution associated with each time point.
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[We have some examples in the documentation showing how to use MLE estimation to get fitting distributions](https://diffeq.sciml.ai/latest/analysis/parameter_estimation).
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[We have some examples in the documentation showing how to use MLE estimation to get fitting distributions](https://docs.sciml.ai/Overview/stable/highlevels/inverse_problems/).
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This process is a more precise approach to data fitting and thus should be an
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interesting new tool to use in cases where one wants to fit parameters against
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a lot of data.
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code from [Stan](https://mc-stan.org/) to generate posterior distributions. The
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`turing_inference` function uses [Turing.jl](https://github.com/yebai/Turing.jl)
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and can work with any DifferentialEquations.jl object. These functions simply
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require your `DEProblem`, data, and prior distributions and the [rest of the inference setup is done for you](https://diffeq.sciml.ai/latest/analysis/parameter_estimation). Thus this is a very quick way to make use of
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require your `DEProblem`, data, and prior distributions and the [rest of the inference setup is done for you](https://docs.sciml.ai/Overview/stable/highlevels/inverse_problems/). Thus this is a very quick way to make use of
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the power of Bayesian inference tools!
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## Small Problem Speedups

news/2018/02/17/Reactions.md

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@@ -77,7 +77,7 @@ is a combination that can be orders of magnitude faster than Stan.jl (though
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additional testing which takes into account accuracy differences will be
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needed for a more precise determination). Still, it's as simple to use as the
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other Bayesian functions (see
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[the example](https://diffeq.sciml.ai/latest/analysis/parameter_estimation))
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[the example](https://docs.sciml.ai/Overview/stable/highlevels/inverse_problems/))
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and so give it a try if you're up for it.
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## Livestream Tutorial

news/2020/03/29/SciML.md

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@@ -110,11 +110,11 @@ It is very rare that someone thinks their model is perfect. Thus a large portion
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of the focus of our organization is to help scientific modelers derive equations
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and fit models. This includes tools for:
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- [Maximum likelihood and Bayesian parameter estimation](https://diffeq.sciml.ai/dev/analysis/parameter_estimation/)
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- [Forward and adjoint local sensitivity analysis](https://diffeq.sciml.ai/dev/analysis/sensitivity/) for fast gradients
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- [Global sensitivity analysis](https://diffeq.sciml.ai/dev/analysis/global_sensitivity/)
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- [Maximum likelihood and Bayesian parameter estimation](https://docs.sciml.ai/Overview/stable/highlevels/inverse_problems/)
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- [Forward and adjoint local sensitivity analysis](https://docs.sciml.ai/SciMLSensitivity/stable/) for fast gradients
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- [Global sensitivity analysis](https://docs.sciml.ai/GlobalSensitivity/stable/)
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- [Building surrogates of models](https://surrogates.sciml.ai/latest/)
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- [Uncertainty quantification](https://diffeq.sciml.ai/dev/analysis/uncertainty_quantification/)
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- [Uncertainty quantification](https://docs.sciml.ai/Overview/stable/highlevels/uncertainty_quantification/)
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Some of our newer tooling like [DataDrivenDiffEq.jl](https://github.com/SciML/DataDrivenDiffEq.jl)
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can even take in timeseries data and generate LaTeX code for the best fitting model
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and its Physics-Informed Neural Networks (PINN) functionality,
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[DataDrivenDiffEq.jl](https://github.com/SciML/DataDrivenDiffEq.jl), etc.
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Because it does not require differential equations, we plan to split out the
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documentation of [Global Sensitivity Analysis](https://diffeq.sciml.ai/latest/analysis/global_sensitivity/)
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documentation of [Global Sensitivity Analysis](https://docs.sciml.ai/GlobalSensitivity/stable/)
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to better facilitate its wider usage.
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- We plan to continue improving the [ModelingToolkit](https://github.com/SciML/ModelingToolkit.jl)
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ecosystem utilizing its symbolic nature for [generic specification of PDEs](https://github.com/SciML/DifferentialEquations.jl/issues/469).

news/2020/05/09/ModelDiscovery.md

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@@ -150,7 +150,7 @@ probabilistic programming libraries ([ModelingToolkit.jl](https://github.com/Sci
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automatically transforms Julia differential equation code to Stan). Together,
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this serves as a very good resource for non-Bayesian-inclined users to utilize
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Bayesian parameter estimation with just one function.
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[See the parameter estimation documentation for more details](https://diffeq.sciml.ai/latest/analysis/parameter_estimation/).
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[See the parameter estimation documentation for more details](https://docs.sciml.ai/Overview/stable/highlevels/inverse_problems/).
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As a quick update to the probabilistic programming space, we would like to note
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that the Turing.jl library performs exceptionally well in comparison to the

news/2020/06/01/ModellingToolkit.md

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differentiation libraries are used, type handling will automatically
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promote to ensure the solution is differentiated properly. When reverse-mode
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automatic differentiation is used, the backpropogation will automatically
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be replaced with [adjoint sensitivity methods](https://diffeq.sciml.ai/latest/analysis/sensitivity/#solve-Differentiation-Examples-1)
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be replaced with [adjoint sensitivity methods](https://docs.sciml.ai/SciMLSensitivity/stable/getting_started/)
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which can be controlled through the `sensealg` keyword argument.
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**The result is full performance and flexibility, but no code changes
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required**.

roadmap.md

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@@ -113,11 +113,11 @@ It is very rare that someone thinks their model is perfect. Thus a large portion
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of the focus of our organization is to help scientific modelers derive equations
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and fit models. This includes tools for:
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- [Maximum likelihood and Bayesian parameter estimation](https://diffeq.sciml.ai/dev/analysis/parameter_estimation/)
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- [Forward and adjoint local sensitivity analysis](https://diffeq.sciml.ai/dev/analysis/sensitivity/) for fast gradients
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- [Global sensitivity analysis](https://diffeq.sciml.ai/dev/analysis/global_sensitivity/)
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- [Maximum likelihood and Bayesian parameter estimation](https://docs.sciml.ai/Overview/stable/highlevels/inverse_problems/)
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- [Forward and adjoint local sensitivity analysis](https://docs.sciml.ai/SciMLSensitivity/stable/) for fast gradients
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- [Global sensitivity analysis](https://docs.sciml.ai/GlobalSensitivity/stable/)
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- [Building surrogates of models](https://surrogates.sciml.ai/latest/)
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- [Uncertainty quantification](https://diffeq.sciml.ai/dev/analysis/uncertainty_quantification/)
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- [Uncertainty quantification](https://docs.sciml.ai/Overview/stable/highlevels/uncertainty_quantification/)
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Some of our newer tooling like [DataDrivenDiffEq.jl](https://github.com/SciML/DataDrivenDiffEq.jl)
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can even take in timeseries data and generate LaTeX code for the best fitting model
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and its Physics-Informed Neural Networks (PINN) functionality,
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[DataDrivenDiffEq.jl](https://github.com/SciML/DataDrivenDiffEq.jl), etc.
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Because it does not require differential equations, we plan to split out the
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documentation of [Global Sensitivity Analysis](https://diffeq.sciml.ai/latest/analysis/global_sensitivity/)
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documentation of [Global Sensitivity Analysis](https://docs.sciml.ai/GlobalSensitivity/stable/)
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to better facilitate its wider usage.
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- We plan to continue improving the [ModelingToolkit](https://github.com/SciML/ModelingToolkit.jl)
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ecosystem utilizing its symbolic nature for [generic specification of PDEs](https://github.com/SciML/DifferentialEquations.jl/issues/469).

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