rm redundant flux dependencies

Author: zuhengxu

example/Project.toml

@@ -2,19 +2,15 @@
 ADTypes = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
 BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 Bijectors = "76274a88-744f-5084-9051-94815aaf08c4"
-ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
 DiffResults = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
 DifferentiationInterface = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
 Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
 DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
 Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
-Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
 Functors = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
-InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
 IrrationalConstants = "92d709cd-6900-40b7-9082-c6be49f344b6"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 LogDensityProblems = "6fdf6af0-433a-55f7-b3ed-c6c6e0b8df7c"
-MonotonicSplines = "568f7cb4-8305-41bc-b90d-d32b39cc99d1"
 Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
 NormalizingFlows = "50e4474d-9f12-44b7-af7a-91ab30ff6256"
 Optimisers = "3bd65402-5787-11e9-1adc-39752487f4e2"

example/utils.jl

@@ -1,17 +1,5 @@
 using Random, Distributions, LinearAlgebra
 using Bijectors: transformed
-using Flux
-
-"""
-A simple wrapper for a 3 layer dense MLP
-"""
-function mlp3(input_dim::Int, hidden_dims::Int, output_dim::Int; activation=Flux.leakyrelu)
-    return Chain(
-        Flux.Dense(input_dim, hidden_dims, activation),
-        Flux.Dense(hidden_dims, hidden_dims, activation),
-        Flux.Dense(hidden_dims, output_dim),
-    )
-end
 
 function compare_trained_and_untrained_flow(
     flow_trained::Bijectors.MultivariateTransformed,