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Fix QR based fitting #559

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Fix QR based fitting #559

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@andreasnoack andreasnoack commented May 7, 2024

Avoid erroring out for low rank design matrices when dropcollinear=false.
Avoid unnecessary triangular solves. Avoid indexing in the Q.
Avoid slicing R matrix in a way that triggers a minimum norm solution.
Remove unnecessary temporaries.

Fixes #558

I removed the white space so please review with https://github.com/JuliaStats/GLM.jl/pull/559/files?w=1

Avoid erroring out for low rank design matrices when dropcollinear=false.
Avoid unnecessary triangular solves. Avoid indexing in the Q.
Avoid slicing R matrix in a way that triggers a minimum norm solution.
Remove unnecessary temporaries.
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codecov bot commented May 7, 2024

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 89.87%. Comparing base (0f8418b) to head (9bbc134).
Report is 3 commits behind head on master.

Additional details and impacted files
@@            Coverage Diff             @@
##           master     #559      +/-   ##
==========================================
- Coverage   90.04%   89.87%   -0.18%     
==========================================
  Files           8        8              
  Lines        1125     1106      -19     
==========================================
- Hits         1013      994      -19     
  Misses        112      112              

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@andreasnoack andreasnoack requested review from devmotion and removed request for mousum-github May 17, 2024 09:30
src/linpred.jl Outdated Show resolved Hide resolved
Comment on lines +89 to +90
fill!(p.delbeta, 0)
p.delbeta[1:rnk] = R \ view(p.qr.Q'r, 1:rnk)
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Maybe one could save a few allocations here?

Suggested change
fill!(p.delbeta, 0)
p.delbeta[1:rnk] = R \ view(p.qr.Q'r, 1:rnk)
mul!(view(p.delbeta, 1:rnk), view(p.qr.Q, :, 1:rnk)', r)
ldiv!(R, view(p.delbeta, 1:rnk))
fill!(@view(p.delbeta[(rnk + 1):end]), 0)

return p
end

function delbeta!(p::DensePredQR{T,<:QRCompactWY}, r::Vector{T}, wt::Vector{T}) where T<:BlasReal
rnk = rank(p.qr.R)
rnk == length(p.delbeta) || throw(RankDeficientException(rnk))
X = p.X
W = Diagonal(wt)
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This is also unused?

Suggested change
W = Diagonal(wt)

@@ -63,23 +63,19 @@ function delbeta! end

function delbeta!(p::DensePredQR{T,<:QRCompactWY}, r::Vector{T}) where T<:BlasReal
rnk = rank(p.qr.R)
rnk == length(p.delbeta) || throw(RankDeficientException(rnk))
p.delbeta = p.qr\r
mul!(p.scratchm1, Diagonal(ones(size(r))), p.X)
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Are scratch-spaces only used inside of a function but not carried around? Or is there another reason for why this is not needed anymore?

qnr = qr(p.scratchm1)
Rinv = inv(qnr.R)
p.delbeta = Rinv * Rinv' * p.delbeta
ỹ = sqrtW * r
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I think one could avoid this allocation by keeping sqrt.(wt) around separately,

    sqrt_wt = sqrt.(wt)
    mul!(p.scratchm1, Diagonal(sqrt_wt), X)
    ỹ = (sqrt_wt .*= r)

@@ -88,44 +84,32 @@ function delbeta!(p::DensePredQR{T,<:QRPivoted}, r::Vector{T}) where T<:BlasReal
if rnk == length(p.delbeta)
p.delbeta = p.qr\r
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Maybe

Suggested change
p.delbeta = p.qr\r
ldiv!(p.delbeta, p.qr, r)

?

end
p.delbeta[1:rnk] = Rinv * Rinv' * view(delbeta, 1:rnk)
invpermute!(delbeta, piv)
r̃ = sqrtW * r
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It seems the same approach as above could applied here?

invpermute!(delbeta, piv)
r̃ = sqrtW * r

p.qr = pivoted_qr!(copy(p.scratchm1))
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Is scratchm1 reused in another function?

R = UpperTriangular(view(parent(p.qr.R), 1:rnk, 1:rnk))
permute!(p.delbeta, p.qr.p)
for k = (rnk + 1):length(p.delbeta)
p.delbeta[k] = -zero(T)
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It seems that's copied from the current implementation - but why -zero(T) and not zero(T)?

end
p.delbeta[1:rnk] = R \ (p.qr.Q'*r̃)[1:rnk]
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Maybe

Suggested change
p.delbeta[1:rnk] = R \ (p.qr.Q'*r̃)[1:rnk]
mul!(view(p.delbeta, 1:rnk), view(p.qr.Q, :, 1:rnk)', r̃)
ldiv!(R, view(p.delbeta, 1:rnk))

?

Co-authored-by: David Widmann <[email protected]>
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GLM fails to match certified values for the Filip dataset
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