Updated tests of normalisation layers.
This commit is contained in:
thebhatman
parent
a782524a0e
commit
94a2d1987d
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@ -27,286 +27,254 @@ trainmode(f, x...) = forward(f, x...)[1]
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@test count(a->a == 0, y) == 0
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end
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# @testset "BatchNorm" begin
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# let m = BatchNorm(2), x = [1 3 5;
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# 2 4 6]
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#
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# @test m.β.data == [0, 0] # initβ(2)
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# @test m.γ.data == [1, 1] # initγ(2)
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# # initial m.σ is 1
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# # initial m.μ is 0
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# @test m.active
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#
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# # @test m(x).data ≈ [-1 -1; 0 0; 1 1]'
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# m(x)
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#
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# # julia> x
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# # 2×3 Array{Float64,2}:
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# # 1.0 3.0 5.0
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# # 2.0 4.0 6.0
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# #
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# # μ of batch will be
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# # (1. + 3. + 5.) / 3 = 3
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# # (2. + 4. + 6.) / 3 = 4
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# #
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# # ∴ update rule with momentum:
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# # .1 * 3 + 0 = .3
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# # .1 * 4 + 0 = .4
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# @test m.μ ≈ reshape([0.3, 0.4], 2, 1)
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#
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# # julia> .1 .* var(x, dims = 2, corrected=false) .* (3 / 2).+ .9 .* [1., 1.]
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# # 2×1 Array{Float64,2}:
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# # 1.3
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# # 1.3
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# @test m.σ² ≈ .1 .* var(x.data, dims = 2, corrected=false) .* (3 / 2).+ .9 .* [1., 1.]
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#
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# testmode!(m)
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# @test !m.active
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#
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# x′ = m(x).data
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# @test isapprox(x′[1], (1 .- 0.3) / sqrt(1.3), atol = 1.0e-5)
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# end
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#
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# # with activation function
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# let m = BatchNorm(2, sigmoid), x = param([1 3 5;
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# 2 4 6])
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# @test m.active
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# m(x)
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#
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# testmode!(m)
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# @test !m.active
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#
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# y = m(x).data
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# @test isapprox(y, data(sigmoid.((x .- m.μ) ./ sqrt.(m.σ² .+ m.ϵ))), atol = 1.0e-7)
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# end
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#
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# let m = BatchNorm(2), x = param(reshape(1:6, 3, 2, 1))
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# y = reshape(permutedims(x, [2, 1, 3]), 2, :)
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# y = permutedims(reshape(m(y), 2, 3, 1), [2, 1, 3])
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# @test m(x) == y
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# end
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#
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# let m = BatchNorm(2), x = param(reshape(1:12, 2, 3, 2, 1))
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# y = reshape(permutedims(x, [3, 1, 2, 4]), 2, :)
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# y = permutedims(reshape(m(y), 2, 2, 3, 1), [2, 3, 1, 4])
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# @test m(x) == y
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# end
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#
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# let m = BatchNorm(2), x = param(reshape(1:24, 2, 2, 3, 2, 1))
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# y = reshape(permutedims(x, [4, 1, 2, 3, 5]), 2, :)
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# y = permutedims(reshape(m(y), 2, 2, 2, 3, 1), [2, 3, 4, 1, 5])
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# @test m(x) == y
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# end
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#
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# let m = BatchNorm(32), x = randn(Float32, 416, 416, 32, 1);
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# m(x)
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# @test (@allocated m(x)) < 100_000_000
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# end
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# end
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#
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#
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# @testset "InstanceNorm" begin
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# # helper functions
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# expand_inst = (x, as) -> reshape(repeat(x, outer=[1, as[length(as)]]), as...)
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# # begin tests
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# let m = InstanceNorm(2), sizes = (3, 2, 2),
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# x = reshape(collect(1:prod(sizes)), sizes)
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#
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# @test m.β.data == [0, 0] # initβ(2)
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# @test m.γ.data == [1, 1] # initγ(2)
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#
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# @test m.active
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#
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# m(x)
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#
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# #julia> x
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# #[:, :, 1] =
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# # 1.0 4.0
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# # 2.0 5.0
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# # 3.0 6.0
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# #
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# #[:, :, 2] =
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# # 7.0 10.0
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# # 8.0 11.0
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# # 9.0 12.0
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# #
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# # μ will be
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# # (1. + 2. + 3.) / 3 = 2.
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# # (4. + 5. + 6.) / 3 = 5.
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# #
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# # (7. + 8. + 9.) / 3 = 8.
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# # (10. + 11. + 12.) / 3 = 11.
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# #
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# # ∴ update rule with momentum:
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# # (1. - .1) * 0 + .1 * (2. + 8.) / 2 = .5
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# # (1. - .1) * 0 + .1 * (5. + 11.) / 2 = .8
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# @test m.μ ≈ [0.5, 0.8]
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# # momentum * var * num_items / (num_items - 1) + (1 - momentum) * sigma_sq
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# # julia> reshape(mean(.1 .* var(x.data, dims = 1, corrected=false) .* (3 / 2), dims=3), :) .+ .9 .* 1.
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# # 2-element Array{Float64,1}:
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# # 1.
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# # 1.
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# @test m.σ² ≈ reshape(mean(.1 .* var(x.data, dims = 1, corrected=false) .* (3 / 2), dims=3), :) .+ .9 .* 1.
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#
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# testmode!(m)
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# @test !m.active
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#
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# x′ = m(x).data
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# @test isapprox(x′[1], (1 - 0.5) / sqrt(1. + 1f-5), atol = 1.0e-5)
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# end
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# # with activation function
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# let m = InstanceNorm(2, sigmoid), sizes = (3, 2, 2),
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# x = reshape(collect(1:prod(sizes)), sizes)
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#
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# affine_shape = collect(sizes)
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# affine_shape[1] = 1
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#
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# @test m.active
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# m(x)
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#
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# testmode!(m)
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# @test !m.active
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#
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# y = m(x).data
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# @test isapprox(y, data(sigmoid.((x .- expand_inst(m.μ, affine_shape)) ./ sqrt.(expand_inst(m.σ², affine_shape) .+ m.ϵ))), atol = 1.0e-7)
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# end
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#
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# let m = InstanceNorm(2), sizes = (2, 4, 1, 2, 3),
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# x = reshape(collect(1:prod(sizes)), sizes)
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# y = reshape(permutedims(x, [3, 1, 2, 4, 5]), :, 2, 3)
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# y = reshape(m(y), sizes...)
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# @test m(x) == y
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# end
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#
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# # check that μ, σ², and the output are the correct size for higher rank tensors
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# let m = InstanceNorm(2), sizes = (5, 5, 3, 4, 2, 6),
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# x = reshape(collect(1:prod(sizes)), sizes)
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# y = m(x)
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# @test size(m.μ) == (sizes[end - 1], )
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# @test size(m.σ²) == (sizes[end - 1], )
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# @test size(y) == sizes
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# end
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#
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# # show that instance norm is equal to batch norm when channel and batch dims are squashed
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# let m_inorm = InstanceNorm(2), m_bnorm = BatchNorm(12), sizes = (5, 5, 3, 4, 2, 6),
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# x = reshape(collect(1:prod(sizes)), sizes)
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# @test m_inorm(x) == reshape(m_bnorm(reshape(x, (sizes[1:end - 2]..., :, 1))), sizes)
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# end
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#
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# let m = InstanceNorm(32), x = randn(Float32, 416, 416, 32, 1);
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# m(x)
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# @test (@allocated m(x)) < 100_000_000
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# end
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#
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# end
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#
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# @testset "GroupNorm" begin
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# # begin tests
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# squeeze(x) = dropdims(x, dims = tuple(findall(size(x) .== 1)...)) # To remove all singular dimensions
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#
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# let m = GroupNorm(4,2), sizes = (3,4,2),
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# x = param(reshape(collect(1:prod(sizes)), sizes))
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#
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# @test m.β.data == [0, 0, 0, 0] # initβ(32)
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# @test m.γ.data == [1, 1, 1, 1] # initγ(32)
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#
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# @test m.active
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#
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# m(x)
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#
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# #julia> x
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# #[:, :, 1] =
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# # 1.0 4.0 7.0 10.0
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# # 2.0 5.0 8.0 11.0
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# # 3.0 6.0 9.0 12.0
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# #
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# #[:, :, 2] =
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# # 13.0 16.0 19.0 22.0
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# # 14.0 17.0 20.0 23.0
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# # 15.0 18.0 21.0 24.0
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# #
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# # μ will be
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# # (1. + 2. + 3. + 4. + 5. + 6.) / 6 = 3.5
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# # (7. + 8. + 9. + 10. + 11. + 12.) / 6 = 9.5
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# #
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# # (13. + 14. + 15. + 16. + 17. + 18.) / 6 = 15.5
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# # (19. + 20. + 21. + 22. + 23. + 24.) / 6 = 21.5
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# #
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# # μ =
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# # 3.5 15.5
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# # 9.5 21.5
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# #
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# # ∴ update rule with momentum:
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# # (1. - .1) * 0 + .1 * (3.5 + 15.5) / 2 = 0.95
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# # (1. - .1) * 0 + .1 * (9.5 + 21.5) / 2 = 1.55
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# @test m.μ ≈ [0.95, 1.55]
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#
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# # julia> mean(var(reshape(x,3,2,2,2),dims=(1,2)).* .1,dims=2) .+ .9*1.
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# # 2-element Array{Tracker.TrackedReal{Float64},1}:
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# # 1.25
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# # 1.25
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# @test m.σ² ≈ mean(squeeze(var(reshape(x,3,2,2,2),dims=(1,2))).*.1,dims=2) .+ .9*1.
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#
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# testmode!(m)
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# @test !m.active
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#
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# x′ = m(x).data
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# println(x′[1])
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# @test isapprox(x′[1], (1 - 0.95) / sqrt(1.25 + 1f-5), atol = 1.0e-5)
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# end
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# # with activation function
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# let m = GroupNorm(4,2, sigmoid), sizes = (3, 4, 2),
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# x = param(reshape(collect(1:prod(sizes)), sizes))
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#
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# μ_affine_shape = ones(Int,length(sizes) + 1)
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# μ_affine_shape[end-1] = 2 # Number of groups
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#
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# affine_shape = ones(Int,length(sizes) + 1)
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# affine_shape[end-2] = 2 # Channels per group
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# affine_shape[end-1] = 2 # Number of groups
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# affine_shape[1] = sizes[1]
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# affine_shape[end] = sizes[end]
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#
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# og_shape = size(x)
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#
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# @test m.active
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# m(x)
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#
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# testmode!(m)
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# @test !m.active
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#
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# y = m(x)
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# x_ = reshape(x,affine_shape...)
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# out = reshape(data(sigmoid.((x_ .- reshape(m.μ,μ_affine_shape...)) ./ sqrt.(reshape(m.σ²,μ_affine_shape...) .+ m.ϵ))),og_shape)
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# @test isapprox(y, out, atol = 1.0e-7)
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# end
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#
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# let m = GroupNorm(2,2), sizes = (2, 4, 1, 2, 3),
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# x = param(reshape(collect(1:prod(sizes)), sizes))
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# y = reshape(permutedims(x, [3, 1, 2, 4, 5]), :, 2, 3)
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# y = reshape(m(y), sizes...)
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# @test m(x) == y
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# end
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#
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# # check that μ, σ², and the output are the correct size for higher rank tensors
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# let m = GroupNorm(4,2), sizes = (5, 5, 3, 4, 4, 6),
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# x = param(reshape(collect(1:prod(sizes)), sizes))
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# y = m(x)
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# @test size(m.μ) == (m.G,1)
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# @test size(m.σ²) == (m.G,1)
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# @test size(y) == sizes
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# end
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#
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# # show that group norm is the same as instance norm when the group size is the same as the number of channels
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# let IN = InstanceNorm(4), GN = GroupNorm(4,4), sizes = (2,2,3,4,5),
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# x = param(reshape(collect(1:prod(sizes)), sizes))
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# @test IN(x) ≈ GN(x)
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# end
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#
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# # show that group norm is the same as batch norm for a group of size 1 and batch of size 1
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# let BN = BatchNorm(4), GN = GroupNorm(4,4), sizes = (2,2,3,4,1),
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# x = param(reshape(collect(1:prod(sizes)), sizes))
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# @test BN(x) ≈ GN(x)
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# end
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#
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# end
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@testset "BatchNorm" begin
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let m = BatchNorm(2), x = [1.0 3.0 5.0;
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2.0 4.0 6.0]
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@test m.β == [0, 0] # initβ(2)
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@test m.γ == [1, 1] # initγ(2)
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# initial m.σ is 1
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# initial m.μ is 0
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y = trainmode(m, x)
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@test y ≈ [-1.22474 0 1.22474; -1.22474 0 1.22474]
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# julia> x
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# 2×3 Array{Float64,2}:
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# 1.0 3.0 5.0
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# 2.0 4.0 6.0
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#
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# μ of batch will be
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# (1. + 3. + 5.) / 3 = 3
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# (2. + 4. + 6.) / 3 = 4
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#
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# ∴ update rule with momentum:
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# .1 * 3 + 0 = .3
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# .1 * 4 + 0 = .4
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@test m.μ ≈ reshape([0.3, 0.4], 2, 1)
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# julia> .1 .* var(x, dims = 2, corrected=false) .* (3 / 2).+ .9 .* [1., 1.]
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# 2×1 Array{Float64,2}:
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# 1.3
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# 1.3
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@test m.σ² ≈ .1 .* var(x, dims = 2, corrected=false) .* (3 / 2).+ .9 .* [1., 1.]
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x′ = m(x)
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@test isapprox(x′[1], (1 .- 0.3) / sqrt(1.3), atol = 1.0e-5)
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end
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# with activation function
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let m = BatchNorm(2, sigmoid), x = param([1.0 3.0 5.0;
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2.0 4.0 6.0])
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y = trainmode(m, x)
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y = m(x)
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@test isapprox(y, data(sigmoid.((x .- m.μ) ./ sqrt.(m.σ² .+ m.ϵ))), atol = 1.0e-7)
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end
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let m = BatchNorm(2), x = param(reshape(1:6, 3, 2, 1))
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y = reshape(permutedims(x, [2, 1, 3]), 2, :)
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y = permutedims(reshape(m(y), 2, 3, 1), [2, 1, 3])
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@test m(x) == y
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end
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let m = BatchNorm(2), x = param(reshape(1:12, 2, 3, 2, 1))
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y = reshape(permutedims(x, [3, 1, 2, 4]), 2, :)
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y = permutedims(reshape(m(y), 2, 2, 3, 1), [2, 3, 1, 4])
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@test m(x) == y
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end
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let m = BatchNorm(2), x = param(reshape(1:24, 2, 2, 3, 2, 1))
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y = reshape(permutedims(x, [4, 1, 2, 3, 5]), 2, :)
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y = permutedims(reshape(m(y), 2, 2, 2, 3, 1), [2, 3, 4, 1, 5])
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@test m(x) == y
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end
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let m = BatchNorm(32), x = randn(Float32, 416, 416, 32, 1);
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m(x)
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@test (@allocated m(x)) < 100_000_000
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end
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end
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@testset "InstanceNorm" begin
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# helper functions
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expand_inst = (x, as) -> reshape(repeat(x, outer=[1, as[length(as)]]), as...)
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# begin tests
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let m = InstanceNorm(2), sizes = (3, 2, 2),
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x = reshape(collect(1:prod(sizes)), sizes)
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x = Float64.(x)
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@test m.β == [0, 0] # initβ(2)
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@test m.γ == [1, 1] # initγ(2)
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y = trainmode(m, x)
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#julia> x
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#[:, :, 1] =
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# 1.0 4.0
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# 2.0 5.0
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# 3.0 6.0
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#
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#[:, :, 2] =
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# 7.0 10.0
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# 8.0 11.0
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# 9.0 12.0
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#
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# μ will be
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# (1. + 2. + 3.) / 3 = 2.
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# (4. + 5. + 6.) / 3 = 5.
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#
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# (7. + 8. + 9.) / 3 = 8.
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# (10. + 11. + 12.) / 3 = 11.
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#
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# ∴ update rule with momentum:
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# (1. - .1) * 0 + .1 * (2. + 8.) / 2 = .5
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# (1. - .1) * 0 + .1 * (5. + 11.) / 2 = .8
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@test m.μ ≈ [0.5, 0.8]
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# momentum * var * num_items / (num_items - 1) + (1 - momentum) * sigma_sq
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# julia> reshape(mean(.1 .* var(x, dims = 1, corrected=false) .* (3 / 2), dims=3), :) .+ .9 .* 1.
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# 2-element Array{Float64,1}:
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# 1.
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# 1.
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@test m.σ² ≈ reshape(mean(.1 .* var(x, dims = 1, corrected=false) .* (3 / 2), dims=3), :) .+ .9 .* 1.
|
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x′ = m(x)
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@test isapprox(x′[1], (1 - 0.5) / sqrt(1. + 1f-5), atol = 1.0e-5)
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end
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# with activation function
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let m = InstanceNorm(2, sigmoid), sizes = (3, 2, 2),
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x = reshape(collect(1:prod(sizes)), sizes)
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x = Float64.(x)
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affine_shape = collect(sizes)
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affine_shape[1] = 1
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y = trainmode(m, x)
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y = m(x)
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@test isapprox(y, data(sigmoid.((x .- expand_inst(m.μ, affine_shape)) ./ sqrt.(expand_inst(m.σ², affine_shape) .+ m.ϵ))), atol = 1.0e-7)
|
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end
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let m = InstanceNorm(2), sizes = (2, 4, 1, 2, 3),
|
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x = reshape(collect(1:prod(sizes)), sizes)
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y = reshape(permutedims(x, [3, 1, 2, 4, 5]), :, 2, 3)
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y = reshape(m(y), sizes...)
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@test m(x) == y
|
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end
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|
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# check that μ, σ², and the output are the correct size for higher rank tensors
|
||||
let m = InstanceNorm(2), sizes = (5, 5, 3, 4, 2, 6),
|
||||
x = reshape(collect(1:prod(sizes)), sizes)
|
||||
y = m(x)
|
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@test size(m.μ) == (sizes[end - 1], )
|
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@test size(m.σ²) == (sizes[end - 1], )
|
||||
@test size(y) == sizes
|
||||
end
|
||||
|
||||
# show that instance norm is equal to batch norm when channel and batch dims are squashed
|
||||
let m_inorm = InstanceNorm(2), m_bnorm = BatchNorm(12), sizes = (5, 5, 3, 4, 2, 6),
|
||||
x = reshape(collect(1:prod(sizes)), sizes)
|
||||
@test m_inorm(x) == reshape(m_bnorm(reshape(x, (sizes[1:end - 2]..., :, 1))), sizes)
|
||||
end
|
||||
|
||||
let m = InstanceNorm(32), x = randn(Float32, 416, 416, 32, 1);
|
||||
m(x)
|
||||
@test (@allocated m(x)) < 100_000_000
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
@testset "GroupNorm" begin
|
||||
# begin tests
|
||||
squeeze(x) = dropdims(x, dims = tuple(findall(size(x) .== 1)...)) # To remove all singular dimensions
|
||||
|
||||
let m = GroupNorm(4,2), sizes = (3,4,2),
|
||||
x = param(reshape(collect(1:prod(sizes)), sizes))
|
||||
x = Float64.(x)
|
||||
@test m.β == [0, 0, 0, 0] # initβ(32)
|
||||
@test m.γ == [1, 1, 1, 1] # initγ(32)
|
||||
|
||||
y = trainmode(m, x)
|
||||
|
||||
#julia> x
|
||||
#[:, :, 1] =
|
||||
# 1.0 4.0 7.0 10.0
|
||||
# 2.0 5.0 8.0 11.0
|
||||
# 3.0 6.0 9.0 12.0
|
||||
#
|
||||
#[:, :, 2] =
|
||||
# 13.0 16.0 19.0 22.0
|
||||
# 14.0 17.0 20.0 23.0
|
||||
# 15.0 18.0 21.0 24.0
|
||||
#
|
||||
# μ will be
|
||||
# (1. + 2. + 3. + 4. + 5. + 6.) / 6 = 3.5
|
||||
# (7. + 8. + 9. + 10. + 11. + 12.) / 6 = 9.5
|
||||
#
|
||||
# (13. + 14. + 15. + 16. + 17. + 18.) / 6 = 15.5
|
||||
# (19. + 20. + 21. + 22. + 23. + 24.) / 6 = 21.5
|
||||
#
|
||||
# μ =
|
||||
# 3.5 15.5
|
||||
# 9.5 21.5
|
||||
#
|
||||
# ∴ update rule with momentum:
|
||||
# (1. - .1) * 0 + .1 * (3.5 + 15.5) / 2 = 0.95
|
||||
# (1. - .1) * 0 + .1 * (9.5 + 21.5) / 2 = 1.55
|
||||
@test m.μ ≈ [0.95, 1.55]
|
||||
|
||||
# julia> mean(var(reshape(x,3,2,2,2),dims=(1,2)).* .1,dims=2) .+ .9*1.
|
||||
# 2-element Array{Float64,1}:
|
||||
# 1.25
|
||||
# 1.25
|
||||
@test m.σ² ≈ mean(squeeze(var(reshape(x,3,2,2,2),dims=(1,2))).*.1,dims=2) .+ .9*1.
|
||||
|
||||
x′ = m(x)
|
||||
println(x′[1])
|
||||
@test isapprox(x′[1], (1 - 0.95) / sqrt(1.25 + 1f-5), atol = 1.0e-5)
|
||||
end
|
||||
# with activation function
|
||||
let m = GroupNorm(4,2, sigmoid), sizes = (3, 4, 2),
|
||||
x = param(reshape(collect(1:prod(sizes)), sizes))
|
||||
x = Float64.(x)
|
||||
μ_affine_shape = ones(Int,length(sizes) + 1)
|
||||
μ_affine_shape[end-1] = 2 # Number of groups
|
||||
|
||||
affine_shape = ones(Int,length(sizes) + 1)
|
||||
affine_shape[end-2] = 2 # Channels per group
|
||||
affine_shape[end-1] = 2 # Number of groups
|
||||
affine_shape[1] = sizes[1]
|
||||
affine_shape[end] = sizes[end]
|
||||
|
||||
og_shape = size(x)
|
||||
|
||||
y = trainmode(m, x)
|
||||
y = m(x)
|
||||
x_ = reshape(x,affine_shape...)
|
||||
out = reshape(data(sigmoid.((x_ .- reshape(m.μ,μ_affine_shape...)) ./ sqrt.(reshape(m.σ²,μ_affine_shape...) .+ m.ϵ))),og_shape)
|
||||
@test isapprox(y, out, atol = 1.0e-7)
|
||||
end
|
||||
|
||||
let m = GroupNorm(2,2), sizes = (2, 4, 1, 2, 3),
|
||||
x = param(reshape(collect(1:prod(sizes)), sizes))
|
||||
y = reshape(permutedims(x, [3, 1, 2, 4, 5]), :, 2, 3)
|
||||
y = reshape(m(y), sizes...)
|
||||
@test m(x) == y
|
||||
end
|
||||
|
||||
# check that μ, σ², and the output are the correct size for higher rank tensors
|
||||
let m = GroupNorm(4,2), sizes = (5, 5, 3, 4, 4, 6),
|
||||
x = param(reshape(collect(1:prod(sizes)), sizes))
|
||||
y = m(x)
|
||||
@test size(m.μ) == (m.G,1)
|
||||
@test size(m.σ²) == (m.G,1)
|
||||
@test size(y) == sizes
|
||||
end
|
||||
|
||||
# show that group norm is the same as instance norm when the group size is the same as the number of channels
|
||||
let IN = InstanceNorm(4), GN = GroupNorm(4,4), sizes = (2,2,3,4,5),
|
||||
x = param(reshape(collect(1:prod(sizes)), sizes))
|
||||
@test IN(x) ≈ GN(x)
|
||||
end
|
||||
|
||||
# show that group norm is the same as batch norm for a group of size 1 and batch of size 1
|
||||
let BN = BatchNorm(4), GN = GroupNorm(4,4), sizes = (2,2,3,4,1),
|
||||
x = param(reshape(collect(1:prod(sizes)), sizes))
|
||||
@test BN(x) ≈ GN(x)
|
||||
end
|
||||
|
||||
end
|
||||
|
|
|
|||
Loading…
Reference in New Issue