MultiHeadAttention implementation

src/Flux.jl

@@ -23,7 +23,9 @@ export Chain, Dense, Embedding, Maxout, SkipConnection, Parallel, PairwiseFusion
        RNN, LSTM, GRU, GRUv3,
        SamePad, Conv, CrossCor, ConvTranspose, DepthwiseConv,
        AdaptiveMaxPool, AdaptiveMeanPool, GlobalMaxPool, GlobalMeanPool, MaxPool, MeanPool,
-       Dropout, AlphaDropout, LayerNorm, BatchNorm, InstanceNorm, GroupNorm,
+       Dropout, AlphaDropout,
+       LayerNorm, BatchNorm, InstanceNorm, GroupNorm,
+       MultiHeadAttention,
        Upsample, PixelShuffle,
        fmap, cpu, gpu, f32, f64, f16, rand32, randn32, zeros32, ones32,
        testmode!, trainmode!
@@ -59,6 +61,7 @@ include("layers/conv.jl")
 include("layers/recurrent.jl")
 include("layers/normalise.jl")
 include("layers/upsample.jl")
+include("layers/attention.jl")
 include("layers/show.jl")
 
 include("loading.jl")

src/layers/attention.jl

@@ -0,0 +1,121 @@
+
+const A3{T} = AbstractArray{T, 3}
+const IntOrDims{N} = Union{Int, Dims{N}}
+
+"""
+    MultiHeadAttention(dims; [nheads, bias, init, dropout_prob])
+
+The multi-head dot-product attention layer used in Transformer architectures [1].
+
+[1] Vaswani et al. "Attention is all you need." Advances in Neural Information Processing Systems. 2017.
+
+# Arguments
+
+- `dims`: The embedding dimensions of inputs, intermediate tensors and outputs.
+          In the most general case, it is given as 
+          `(q_in_dim, k_in_dim, v_in_dim) => (qk_dim, v_dim) => out_dim`.
+          Can take also simpler forms as
+          `dims::Int`, `in_dim::Int => (qk_dim, v_dim) => out_dim`,
+          `in_dim::Int => qkv_dim => out_dim`.
+
+- `nheads`: number of heads. Default `8`.
+- `init`: weight initializer for the Dense layers. Default `glorot_uniform`.
+- `bias` : whether pointwise QKVO dense transforms use bias. Default `false`.
+- `dropout_prob`: dropout probability for the attention scores. Default `0.0`.
+
+# Forward
+
+    (mha::MultiHeadAttention)(q_in, k_in, v_in, [bias]; [mask, withscores])
+
+- `q_in`: input query array of size `(q_in_dim, q_len, batch_size...)`.
+- `k_in`: input key array of size `(k_in_dim, kv_len, batch_size...)`.
+- `v_in`: input value array of size `(v_in_dim, kv_len, batch_size...)`.
+- `mask`: input array broadcastable to size 
+          `(kv_len, q_len, nheads, batch_size)`. Default `nothing`.
+- `withscores`: Whether to return the attention scores. Default `false`.
+
+In alternative, `mha(q_in)` is equivalent to `mha(q_in, q_in, q_in)` (self-attention) 
+and `mha(q_in, k_in)` is equivalent to `mha(q_in, k_in, k_in)` (key and value are the same).
+
+
+See also [`NNlib.dot_product_attention`](@ref).
+
+# Examples
+
+```julia
+mha = MultiHeadAttention(64, nheads = 8)
+q = rand(Float32, (64, 10, 32))
+k = rand(Float32, (64, 20, 32))
+v = rand(Float32, (64, 20, 32))
+y = mha(q, k, v) # [y] = [64, 10, 32]
+
+mha = MultiHeadAttention(64 => 1024 => 1024, nheads = 8)
+y = mha(q) # self-attention; [y] = [1024, 10, 32]
+```
+"""
+struct MultiHeadAttention{P1, D, P2}
+  nheads::Int
+  q_proj::P1
+  k_proj::P1
+  v_proj::P1
+  attn_drop::D
+  out_proj::P2
+end
+
+@functor MultiHeadAttention
+
+function MultiHeadAttention(dims; 
+                     nheads::Int = 8,
+                     bias::Bool = false,
+                     init = glorot_uniform,                    
+                     dropout_prob = 0.0)
+
+  dims = normalize_mha_dims(dims)
+  @assert dims.qk % nheads == 0 "qk_dim should be divisible by nheads"
+  @assert dims.v % nheads == 0 "v_dim should be divisible by nheads"
+  q_proj = Dense(dims.q_in => dims.qk; bias, init)
+  k_proj = Dense(dims.k_in => dims.qk; bias, init)
+  v_proj = Dense(dims.v_in => dims.v; bias, init)
+  attn_drop = Dropout(dropout_prob)
+  out_proj = Dense(dims.v => dims.out; bias, init)
+  return MultiHeadAttention(nheads, q_proj, k_proj, v_proj, attn_drop, out_proj)
+end
+
+# turns the dims argument into a named tuple
+normalize_mha_dims(dims::Int) = 
+  (; q_in=dims, k_in=dims, v_in=dims, qk=dims, v=dims, out=dims)
+
+function normalize_mha_dims((in, (qkv, out))::Pair{<:IntOrDims{3}, <:Pair{<:IntOrDims{2}, Int}})
+  if in isa Int
+    q_in = k_in = v_in = in
+  else
+    q_in, k_in, v_in = in
+  end
+  if qkv isa Int
+    qk = v = qkv
+  else
+    qk, v = qkv
+  end
+  return (; q_in, k_in, v_in, qk, v, out)
+end
+
+# self-attention
+(mha::MultiHeadAttention)(qkv; kws...) = mha(qkv, qkv, qkv; kws...)
+
+# key and value are the same
+(mha::MultiHeadAttention)(q, kv; kws...) = mha(q, kv, kv; kws...)
+
+function (mha::MultiHeadAttention)(q_in::A3, k_in::A3, v_in::A3, bias=nothing; 
+                                withscores=false, mask=nothing)
+  ## [q_in] = [q_in_dim, q_len, batch_size]
+  ## [k_in] = [k_in_dim, kv_len, batch_size] 
+  ## [v_in] = [v_in_dim, kv_len, batch_size]
+  q = mha.q_proj(q_in)  # [q] = [qk_dim, q_len, batch_size]
+  k = mha.k_proj(k_in)  # [k] = [qk_dim, kv_len, batch_size] 
+  v = mha.v_proj(v_in)  # [v] = [v_dim, kv_len, batch_size]
+  x, α = NNlib.dot_product_attention(q, k, v, bias; mha.nheads, mask, fdrop=mha.attn_drop)
+  x = mha.out_proj(x)
+  # [x] = [out_dim, q_len, batch_size]
+  # [α] = [kv_len, q_len, nheads, batch_size]
+  return withscores ? (x, α) : x
+end

test/cuda/layers.jl

@@ -338,3 +338,29 @@ end
     @test eltype(pool(reshape(gx,3,4,1))) == Float16
   end
 end
+
+@testset "MultiHeadAttention" begin
+  dim = 4; nheads = 2; len = 3; batch_size = 5
+  mha_cpu = MultiHeadAttention(dim; nheads)
+  x_cpu = rand(Float32, (dim, len, batch_size))
+  y_cpu, α_cpu = mha_cpu(x_cpu, withscores=true)
+
+  mha_gpu = mha_cpu |> gpu
+  x_gpu = x_cpu |> gpu
+  y_gpu, α_gpu = mha_gpu(x_gpu, withscores=true)
+  @test y_gpu isa CuArray{Float32}
+  @test α_gpu isa CuArray{Float32}
+  @test Array(y_gpu) ≈ y_cpu atol=1e-4
+  @test Array(α_gpu) ≈ α_cpu atol=1e-4
+
+  gm_cpu, gx_cpu = gradient(mha_cpu, x_cpu) do mha, x
+    y, α = mha(x, withscores=true)
+    return sum(y.^2) + sum(α.^2)
+  end
+  gm_gpu, gx_gpu = gradient(mha_gpu, x_gpu) do mha, x
+    y, α = mha(x, withscores=true)
+    return sum(y.^2) + sum(α.^2)
+  end
+  check_grad(gm_gpu, gm_cpu)
+  check_grad(gx_gpu, gx_cpu)
+end

test/layers/attention.jl

@@ -0,0 +1,63 @@
+
+
+@testset "attention" begin
+  dim = 4; nheads = 2; len = 3; batch_size = 5
+  mha = MultiHeadAttention(dim; nheads)
+  q = rand(Float32, (dim, len, batch_size))
+  k = rand(Float32, (dim, len, batch_size))
+  v = rand(Float32, (dim, len, batch_size))
+
+  y, α = mha(q, k, v, withscores=true)
+  @test y isa Array{Float32, 3}
+  @test size(y) == (dim, len, batch_size)
+  @test α isa Array{Float32, 4}
+  @test size(α) == (len, len, nheads, batch_size)
+
+  @testset "self-attention" begin
+    y1 = mha(q)
+    y2 = mha(q, q, q)
+    @test y1 ≈ y2
+  end
+
+  @testset "key and value are the same" begin
+    y1 = mha(q, k)
+    y2 = mha(q, k, k)
+    @test y1 ≈ y2
+  end
+
+  @testset "change dims" begin
+    dims = 4 => 10 => 5
+    nhead = 5
+    mha2 = MultiHeadAttention(dims; nheads)
+    y2 = mha2(q, k, v)
+    @test size(y2) == (dims.second.second, len, batch_size)
+  end
+
+  @testset "mask" begin
+    mask = NNlib.make_causal_mask(q)
+    y, α = mha(q; mask, withscores=true)
+    @test all(α[2, 1, :, :] .== 0)
+    @test α[:, :, 1, 1] ≈ triu(α[:, :, 1, 1])
+  end
+
+  @testset "bias" begin
+    # use bias to produce a causal mask
+    b = zeros(Float32, (len, len))
+    for i in 1:len, j in i:len
+      b[i, j] = typemax(Float32)
+    end
+    y, α = mha(q, k, v, b, withscores=true)
+    @test all(α[2, 1, :, :] .== 0)
+    @test α[:, :, 1, 1] ≈ triu(α[:, :, 1, 1])  
+  end
+
+  @testset "gradient" begin
+    gm, gq = gradient(mha, q) do mha, q
+      y, α = mha(q, withscores=true)
+      return sum(y.^2) + sum(α.^2)
+    end
+    check_grad_type(gm, mha)
+    check_grad_type(gq, q)
+  end
+end
+

test/runtests.jl

@@ -33,6 +33,7 @@ Random.seed!(0)
   end
 
   @testset "Layers" begin
+    include("layers/attention.jl")
     include("layers/basic.jl")
     include("layers/normalisation.jl")
     include("layers/stateless.jl")

test/test_utils.jl

@@ -1,27 +1,33 @@
-function check_grad(g_gpu, g_cpu, atol, rtol; allow_nothing::Bool)
+function check_grad(g_gpu, g_cpu;
+            rtol=1e-4, atol=1e-4,
+            allow_nothing::Bool=false)
     allow_nothing && return
     @show g_gpu g_cpu
     @test false
 end
-check_grad(g_gpu::Base.RefValue, g_cpu::Base.RefValue, atol, rtol; allow_nothing::Bool) =
-    check_grad(g_gpu[], g_cpu[], atol, rtol; allow_nothing)
-check_grad(g_gpu::Nothing, g_cpu::Nothing, atol, rtol; allow_nothing::Bool) =
+
+check_grad(g_gpu::Base.RefValue, g_cpu::Base.RefValue; rtol=1e-4, atol=1e-4, allow_nothing::Bool=false) =
+    check_grad(g_gpu[], g_cpu[]; rtol, atol, allow_nothing)
+
+check_grad(g_gpu::Nothing, g_cpu::Nothing; rtol=1e-4, atol=1e-4, allow_nothing::Bool=false) =
     @test true
-check_grad(g_gpu::Float32, g_cpu::Float32, atol, rtol; allow_nothing::Bool) =
+
+check_grad(g_gpu::Float32, g_cpu::Float32; rtol=1e-4, atol=1e-4, allow_nothing::Bool=false) =
     @test g_cpu ≈ g_gpu rtol=rtol atol=atol
-check_grad(g_gpu::CuArray{Float32}, g_cpu::Array{Float32}, atol, rtol; allow_nothing::Bool) =
+
+check_grad(g_gpu::CuArray{Float32}, g_cpu::Array{Float32}; rtol=1e-4, atol=1e-4, allow_nothing::Bool=false) =
     @test g_cpu ≈ collect(g_gpu) rtol=rtol atol=atol
 
-function check_grad(g_gpu::Tuple, g_cpu::Tuple, atol, rtol; allow_nothing::Bool)
+function check_grad(g_gpu::Tuple, g_cpu::Tuple; rtol=1e-4, atol=1e-4, allow_nothing::Bool=false)
     for (v1, v2) in zip(g_gpu, g_cpu)
-        check_grad(v1, v2, atol, rtol; allow_nothing)
+        check_grad(v1, v2; rtol, atol, allow_nothing)
     end
 end
 
-function check_grad(g_gpu::NamedTuple, g_cpu::NamedTuple, atol, rtol; allow_nothing::Bool)
+function check_grad(g_gpu::NamedTuple, g_cpu::NamedTuple; rtol=1e-4, atol=1e-4, allow_nothing::Bool=false)
     for ((k1,v1), (k2,v2)) in zip(pairs(g_gpu), pairs(g_cpu))
         @test k1 == k2
-        check_grad(v1, v2, atol, rtol; allow_nothing)
+        check_grad(v1, v2; rtol, atol, allow_nothing)
     end
 end
 
@@ -31,10 +37,14 @@ check_type(x::CuArray{Float32}) = true
 check_type(x::Array{Float32}) = true
 
 function gpu_autodiff_test(
-    f_cpu, xs_cpu::Array{Float32}...;
-    test_equal=true, rtol=1e-4, atol=1e-4,
-    checkgrad::Bool = true, allow_nothing::Bool = false,
-)
+            f_cpu, 
+            xs_cpu::Array{Float32}...;
+            test_equal=true, 
+            rtol=1e-4, atol=1e-4,
+            checkgrad::Bool = true, 
+            allow_nothing::Bool = false,
+        )
+
     # Compare CPU & GPU function outputs.
     f_gpu = f_cpu |> gpu
     xs_gpu = gpu.(xs_cpu)
@@ -60,7 +70,7 @@ function gpu_autodiff_test(
     if test_equal
         @test collect(y_cpu) ≈ collect(y_gpu) rtol=rtol atol=atol
         for (g_gpu, g_cpu) in zip(gs_gpu, gs_cpu)
-            check_grad(g_gpu, g_cpu, atol, rtol; allow_nothing)
+            check_grad(g_gpu, g_cpu; atol, rtol, allow_nothing)
         end
     end
 
@@ -78,7 +88,22 @@ function gpu_autodiff_test(
         @test collect(y_cpu) ≈ collect(y_gpu) rtol=rtol atol=atol
         @assert length(ps_gpu) == length(ps_cpu)
         for (p_gpu, p_cpu) in zip(ps_gpu, ps_cpu)
-            check_grad(gs_gpu[p_gpu], gs_cpu[p_cpu], atol, rtol; allow_nothing)
+            check_grad(gs_gpu[p_gpu], gs_cpu[p_cpu]; atol, rtol, allow_nothing)
         end
     end
 end
+
+# check_grad_type checks that the gradient type matches the primal type.
+
+check_grad_type(g::Nothing, x) = nothing
+
+function check_grad_type(g::AbstractArray{T1}, x::AbstractArray{T2}) where {T1, T2}
+    @test T1 == T2
+    @test size(g) == size(x)
+end
+
+function check_grad_type(g::NamedTuple, x::T) where T
+    for f in fieldnames(T)
+        check_grad_type(g[f], getfield(x, f))
+    end
+end