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License: Other
Likelihood-Free Inference for Julia.
License: Other
There are currently a few different and unrelated packages for Approximate Bayesian Computation and Likelihood-Free Inference in julia. As mentioned on discourse, it may be nice to coordinate ABC efforts in julia a bit; at least I would enjoy this, 😄. In the following I try to give a brief overview of the current state. I spent limited time on reviewing the packages. Apologies if I missed something and please correct all my mistakes! After that, I make a few propositions.
model(params) = ...
setup = method_plan(model, compute_summary_statistics, metric, prior; kwargs...)
result = run_abc(setup, data; kwargs...)
GaussianMixtureModelCommonCovar
GaussianMixtureModelCommonCovarTruncated
GaussianMixtureModelCommonCovarSubset
GaussianMixtureModelCommonCovarDiagonal
MultiUniform
LinearTransformedBeta
GenericCompositeContinuousDist
model(params) = ...
result = method(data, model, prior, args...; kwargs...)
model(params, constants, targetdata) = ...
setup = method(model, args..., prior)
result = runabc(setup, data; kwargs...)
ksdist
model(params, constants) = ...
setup = ABCPlan(prior, model, data, metric)
result = method(setup, kwargs...)
Factored
Distributionmodel(params) = ...
setup = method(prior = ..., kwargs...)
result = run!(setup, model, data; kwargs...)
MultivariateUniform
TruncatedMultivariateNormal
corrplot
and histogram
There is a little bit of overlap between the packages, but overall they seem fairly complementary. However, from a user perspective I think it would be awesome, if there would be a common API, such that one can easily switch between the different packages. I imagine in particular one way to define priors, models, metrics and fitting.
My proposition here is to write together a very light-weight ABCBase.jl
package that serves as a primary dependency of ABC packages. See for example DiffEqBase.jl or ReinforcementLearningBase.jl for how this is done in other eco-systems. I would include in ABCBase.jl
My proposition for the API is the following (I am biased of course, and I am very open to discussion!)
Additional to everything related to priors, summarys stats and metrics,
ABCBase.jl
exports a function fit!
with the following signature
fit!(setup, model, data; verbosity = 0, callback = () -> nothing, rng = Random.GLOBAL_RNG)
Every ABC package that relies on ABCBase.jl
extends this fit!
function, e.g.
ABCBase.fit!(method::RejectionABC, model, data; kwargs...) = "blabla"
The user provides models as callable objects (functions or functors) with one argument.
Constants are recommended to be handled with closures.
Extraction of summary statistics is done in the model.
For example
model(params) = "do something with params"
my_complex_model(params, constants) = "do something with params and constants"
model(params) = let constants = "blabla" my_complex_model(params, constants) end
my_raw_model(params) = "returns some raw data"
model(params) = extract_summary_statistics(my_raw_model(params))
struct MyFunctorModel
options
end
(m::MyFunctorModel)(params) = "do something with m and params"
ABC methods/plans/setups are specified in the form
setup = method(metric = my_metric, kwargs...)
setup = method(prior = my_prior, kwargs...) # if method has a prior
Similar in spirit to DifferentialEquations.jl we could create one package that aggregates all packages and gives unified access. The dependency graph would be something like
ABCBase.jl
|
-----------------------
| | |
ABCPkg1 ABCPkg2 etc.
| | |
------------------------
|
ABC.jl
This package does nothing but reexport all the setups/methods defined in the
different packages and the fit!
function. The name of this package should of course be discussed.
I think it would be nice to have a package with typical ABC benchmark problems,
like the stochastic lotka-volterra problem, the blowfly problem etc. Maybe we
could collect them in a package ABCProblems.jl
.
Here is an incomplete list of methods that I would love to see implemented in
julia. Together with a collection of benchmark problems one would get a nice box
to benchmark new methods we do research on.
Who would be up for such a collaborative effort?
How do you like my proposition for ABCBase.jl
? What would you change?
Shall we create ABCBase.jl
, ABCProblems.jl
and ABC.jl
? Or something similar with different names?
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