In Elixir how do you initialize a struct with a map variable

You should use the struct/2 function. From the docs:

defmodule User do
  defstruct name: "john"
end

struct(User)
#=> %User{name: "john"}

opts = [name: "meg"]
user = struct(User, opts)
#=> %User{name: "meg"}

struct(user, unknown: "value")
#=> %User{name: "meg"}