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View Code? Open in Web Editor NEWAlignment algorithms for Bilingual/Cross Lingual Word Embeddings implemented in Julia
License: GNU General Public License v3.0
Alignment algorithms for Bilingual/Cross Lingual Word Embeddings implemented in Julia
License: GNU General Public License v3.0
function mapOrthogonal(X::T, Y::T; λ::Float32=Float32(1)) where {T}
F = CUDA.CUBLAS.svd(X * Y')
W = permutedims(F.U * F.Vt * cuinv((X * X') + λ .* CuMatrix{Float32}(I, 300, 300)))
return W, F.S
end
The above code snippet is kind of misleading. Thinking in theory lead me to think that the matrix multiplication inside the decomposition operation X * Y'
is wrong. Because what we do is that we rotate the source space towards the target space where as this operation leads to opposite direction!
We should calculate the rotation operation based on X and not Y!
To do so :
X * Y'
to Y * X'
.Vt
and U
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