How to define an overload constructor across an abstract type?

General Usage
2

You could do something like the following:

abstract type model_A end

struct params1 <: model_A
    a::Float64
    params1(a::Number) = new(a)
end

struct params2 <: model_A
    a::Float64
    b::Float64
    params2(a::Number, b::Number) = new(a, b)
end

function (::Type{P})(args...) where P <: model_A
    [P(params...) for params in Iterators.product(args...)]
end

Then you get

julia> params1([1.0, 2.1])
2-element Vector{params1}:
 params1(1.0)
 params1(2.1)

julia> params2([1.0, 2.1], 3)
2-element Vector{params2}:
 params2(1.0, 3.0)
 params2(2.1, 3.0)

The inner constructor for each concrete type is needed to resolve method ambiguities.

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