Engine prototype #13

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glen merged 133 commits from engine-proto into main 2024-10-21 03:18:48 +00:00
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@ -65,17 +65,23 @@ end
# a type for keeping track of gradient descent history
struct DescentHistory{T}
scaled_loss::Array{T}
neg_grad::Array{Matrix{T}}
slope::Array{T}
stepsize::Array{T}
backoff_steps::Array{Int64}
last_line_L::Array{Matrix{T}}
last_line_loss::Array{T}
function DescentHistory{T}(
scaled_loss = Array{T}(undef, 0),
neg_grad = Array{Matrix{T}}(undef, 0),
slope = Array{T}(undef, 0),
stepsize = Array{T}(undef, 0),
backoff_steps = Int64[]
backoff_steps = Int64[],
last_line_L = Array{Matrix{T}}(undef, 0),
last_line_loss = Array{T}(undef, 0)
) where T
new(scaled_loss, slope, stepsize, backoff_steps)
new(scaled_loss, neg_grad, slope, stepsize, backoff_steps, last_line_L, last_line_loss)
end
end
@ -119,23 +125,33 @@ function realize_gram(
L_last = L
loss_last = loss
push!(history.scaled_loss, loss / scale_adjustment)
push!(history.neg_grad, neg_grad)
push!(history.slope, slope)
# find a good step size using backtracking line search
push!(history.stepsize, 0)
push!(history.backoff_steps, max_backoff_steps)
empty!(history.last_line_L)
empty!(history.last_line_loss)
for backoff_steps in 0:max_backoff_steps
history.stepsize[end] = stepsize
L = L_last + stepsize * neg_grad
Δ_proj = proj_diff(gram, L'*Q*L)
loss = dot(Δ_proj, Δ_proj)
improvement = loss_last - loss
push!(history.last_line_L, L)
push!(history.last_line_loss, loss / scale_adjustment)
if improvement >= target_improvement * stepsize * slope
history.backoff_steps[end] = backoff_steps
break
end
stepsize *= backoff
end
# [DEBUG] if we've hit a wall, quit
if history.backoff_steps[end] == max_backoff_steps
break
end
end
# return the factorization and its history