diff --git a/src/layers/stateless.jl b/src/layers/stateless.jl
index 4b868261..cc1be044 100644
--- a/src/layers/stateless.jl
+++ b/src/layers/stateless.jl
@@ -40,12 +40,17 @@ but it is more numerically stable.
 logitbinarycrossentropy(logŷ, y) = (1 - y)*logŷ - logσ(logŷ)
 
 """
-    normalise(x::AbstractArray, dims::Int=1)
+    normalise(x::AbstractArray; dims=1)
 
     Normalises x to mean 0 and standard deviation 1, across the dimensions given by dims. Defaults to normalising over columns.
 """
-function normalise(x::AbstractArray, dims::Int=1)
+function normalise(x::AbstractArray; dims=1)
   μ′ = mean(x, dims = dims)
   σ′ = std(x, dims = dims, mean = μ′, corrected=false)
   return (x .- μ′) ./ σ′
 end
+
+function normalise(x::AbstractArray, dims=1)
+  Base.depwarn("`normalise(x::AbstractArray, dims)` is deprecated, use `normalise(a, dims=dims)` instead.", :normalise)
+  normalise(x, dims = dims)
+end
diff --git a/src/tracker/lib/array.jl b/src/tracker/lib/array.jl
index 33504819..52b92cf7 100644
--- a/src/tracker/lib/array.jl
+++ b/src/tracker/lib/array.jl
@@ -321,9 +321,9 @@ dot(xs::TrackedVector, ys::AbstractVector) = track(dot, xs, ys)
 @grad dot(xs, ys) = dot(data(xs), data(ys)), Δ -> (Δ .* ys, Δ .* xs)
 
 # Hacks to get std working
-Statistics.std(x::TrackedArray; dims = :, mean = Statistics.mean(x, dims = dims)) = _std(x,mean,dims)
-_std(x::TrackedArray, mean, dims) = sqrt.(sum((x .- mean).^2, dims = dims) ./ (mapreduce(i -> size(x,i),*, dims) - 1))
-_std(x::TrackedArray, mean, ::Colon) = sqrt.(sum((x .- mean).^2) ./ (length(x) - 1))
+Statistics.std(x::TrackedArray; dims = :, mean = Statistics.mean(x, dims = dims), corrected::Bool = true) = _std(x,mean,dims,corrected)
+_std(x::TrackedArray, mean, dims, corrected) = sqrt.(sum((x .- mean).^2, dims = dims) ./ (mapreduce(i -> size(x,i),*, dims) - corrected))
+_std(x::TrackedArray, mean, ::Colon, corrected) = sqrt.(sum((x .- mean).^2) ./ (length(x) - corrected))
 
 LinearAlgebra.norm(x::TrackedArray, p::Real = 2) =
   sum(abs.(x).^p .+ eps(0f0))^(1/p) # avoid d(sqrt(x))/dx == Inf at 0
diff --git a/test/tracker.jl b/test/tracker.jl
index fe3c0390..47ce7166 100644
--- a/test/tracker.jl
+++ b/test/tracker.jl
@@ -178,6 +178,10 @@ end
 
 @test gradtest(x -> std(x), rand(5,5))
 @test gradtest(x -> std(x, dims = 1), rand(5,5))
+@test gradtest(x -> std(x, dims = 1, corrected = false), rand(5,5))
+
+@test gradtest(x -> Flux.normalise(x), rand(4,3))
+@test gradtest(x -> Flux.normalise(x, dims = 2), rand(3,4))
 
 @test gradtest((x, y) -> x .* y, rand(5), rand(5))
 @test gradtest(dot, rand(5), rand(5))