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Merge branch 'enh/sparsification'
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commit
5332d806cc
@ -53,13 +53,18 @@ end
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include("OrbitDecomposition.jl")
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function sparsify{T}(U::AbstractArray{T}, eps=eps(T), check=true)
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dens(M::SparseMatrixCSC) = length(M.nzval)/length(M)
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dens(M::AbstractArray) = sum(abs.(M) .!= 0)/length(M)
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function sparsify{T}(U::AbstractArray{T}, check=true)
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W = deepcopy(U)
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W[abs.(W) .< eps] = zero(T)
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W[abs.(W) .< eps(T)] .= zero(T)
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if check && rank(W) != rank(U)
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warn("Sparsification would decrease the rank!")
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info("Sparsification would decrease the rank!")
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W = U
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end
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else
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info("Sparsified:", rpad(dens(U), 10), "\t", rpad(dens(W),10))
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end
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W = sparse(W)
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dropzeros!(W)
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return W
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@ -78,15 +83,15 @@ function init_orbit_data(logger, sett::Settings; radius=2)
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return 0
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end
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function transform(U::AbstractArray, V::AbstractArray; sparse=false)
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w = U'*V*U
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function transform(U::AbstractArray, V::AbstractArray; sparse=true)
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if sparse
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w = sparsify(w)
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return sparsify(U'*V*U)
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else
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return U'*V*U
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end
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return w
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end
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A(data::OrbitData, π, t) = data.dims[π]*transform(data.Us[π], data.cnstr[t], sparse=true)
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A(data::OrbitData, π, t) = data.dims[π]*transform(data.Us[π], data.cnstr[t])
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function constrLHS(m::JuMP.Model, data::OrbitData, t)
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l = endof(data.Us)
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@ -123,7 +123,7 @@ function reconstruct_sol{T<:GroupElem, S<:AbstractArray}(mreps::Dict{T, S},
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for g in keys(mreps)
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A, B = mreps[g], mreps[inv(g)]
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for π in 1:length(Us)
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recP .+= dims[π].* (A * Us[π]*Ps[π]*Ust[π] * B)
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recP .+= sparsify(dims[π].* (A * Us[π]*Ps[π]*Ust[π] * B))
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end
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end
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recP .*= 1/length(keys(mreps))
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@ -140,19 +140,6 @@ function Cstar_repr(x::GroupRingElem, mreps::Dict)
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return res
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end
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dens(M::SparseMatrixCSC) = length(M.nzval)/length(M)
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dens(M::AbstractArray) = sum(abs.(M) .!= 0)/length(M)
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function sparsify2(M::AbstractArray)
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println("Density before sparsification: \t$(dens(M))")
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M = deepcopy(M)
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M[M .< eps(eltype(M))] .= zero(eltype(M))
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M = sparse(M)
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dropzeros!(M)
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println("Density after sparsification: \t$(dens(M))")
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return M
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end
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function orthSVD(M::AbstractMatrix)
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M = full(M)
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fact = svdfact(M)
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@ -205,6 +192,6 @@ function compute_orbit_data{T<:GroupElem}(logger, name::String, G::Nemo.Group, S
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info(logger, "dimensions = $dimensions")
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@assert dot(multiplicities, dimensions) == sizes[radius]
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save(joinpath(name, "U_pis.jld"), "Uπs", Uπs, "spUπs", sparsify2.(Uπs), "dims", dimensions)
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save(joinpath(name, "U_pis.jld"), "Uπs", Uπs, "spUπs", sparsify.(Uπs), "dims", dimensions)
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return 0
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end
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