diff --git a/DifferentiationInterface/src/first_order/pullback.jl b/DifferentiationInterface/src/first_order/pullback.jl
index f9082000e..eba5b8628 100644
--- a/DifferentiationInterface/src/first_order/pullback.jl
+++ b/DifferentiationInterface/src/first_order/pullback.jl
@@ -168,7 +168,9 @@ function _pullback_via_pushforward(
     dy,
     contexts::Vararg{Context,C},
 ) where {F,C}
-    dx = map(CartesianIndices(x)) do j
+    ind = CartesianIndices(x)
+    T = typeof(similar(x, eltype(ind)))
+    dx = map(x, T(ind)) do xj, j
         t1 = pushforward(f, pushforward_prep, backend, x, (basis(x, j),), contexts...)
         dot(only(t1), dy)
     end
@@ -254,7 +256,9 @@ function _pullback_via_pushforward(
     dy,
     contexts::Vararg{Context,C},
 ) where {F,C}
-    dx = map(CartesianIndices(x)) do j  # preserve shape
+    ind = CartesianIndices(x)
+    T = typeof(similar(x, eltype(ind)))
+    dx = map(x, T(ind)) do xj, j  # preserve shape
         t1 = pushforward(f!, y, pushforward_prep, backend, x, (basis(x, j),), contexts...)
         dot(only(t1), dy)
     end
diff --git a/DifferentiationInterface/src/first_order/pushforward.jl b/DifferentiationInterface/src/first_order/pushforward.jl
index 69b253b0b..d8e4a547a 100644
--- a/DifferentiationInterface/src/first_order/pushforward.jl
+++ b/DifferentiationInterface/src/first_order/pushforward.jl
@@ -171,7 +171,9 @@ function _pushforward_via_pullback(
     dx,
     contexts::Vararg{Context,C},
 ) where {F,C}
-    dy = map(CartesianIndices(y)) do i
+    ind = CartesianIndices(y)
+    T = typeof(similar(y, eltype(ind)))
+    dy = map(y, T(ind)) do yi, i
         t1 = pullback(f, pullback_prep, backend, x, (basis(y, i),), contexts...)
         dot(only(t1), dx)
     end
@@ -243,7 +245,9 @@ function _pushforward_via_pullback(
     dx,
     contexts::Vararg{Context,C},
 ) where {F,C}
-    dy = map(CartesianIndices(y)) do i  # preserve shape
+    ind = CartesianIndices(y)
+    T = typeof(similar(y, eltype(ind)))
+    dy = map(y, T(ind)) do yi, i  # preserve shape
         t1 = pullback(f!, y, pullback_prep, backend, x, (basis(y, i),), contexts...)
         dot(only(t1), dx)
     end