From bf6b734ebb721ab9934c949836ee7edf88279079 Mon Sep 17 00:00:00 2001 From: SE Choi Date: Sat, 9 May 2026 14:01:38 +0200 Subject: [PATCH 01/13] change variable names for avoiding confusion --- src/api/cpd.jl | 6 +++ src/core/tensor_ops.jl | 4 +- src/cpd/core/mttkrp.jl | 36 +++++++++++-- src/solvers/cp_als.jl | 101 ++++++++++++++++++++---------------- src/solvers/nncp_updates.jl | 54 +++++++++---------- test/basic_tests.jl | 36 +++++++++++++ 6 files changed, 160 insertions(+), 77 deletions(-) diff --git a/src/api/cpd.jl b/src/api/cpd.jl index 119cd09..c7b6a31 100644 --- a/src/api/cpd.jl +++ b/src/api/cpd.jl @@ -407,6 +407,12 @@ If `r` is omitted, uses the smallest tensor mode as a heuristic rank. - `:squaring_metric`: Nonnegative geometry based on squared latent coordinates. Enforces nonnegativity indirectly, but can become ill-conditioned near zero. - `:softplus_metric`: Nonnegative geometry uses a regularized pullback-inspired geometry induced by the softplus chart. Smoother and usually more stable near zero than `:squaring_metric`. - `:native`: Native CP manifold geometry using the model’s intrinsic CP/Segre representation not for nonnegative=true. Best for structured join layouts with `Manifolds.Segre` summands. +* `mttkrp_method = :auto`: MTTKRP kernel used by CP-ALS and ALS warm starts. + - `:auto`: Chooses a method from tensor order, rank, and workspace size heuristics. + - `:materialized_kr` or `:khatri_rao`: Forms the Khatri-Rao product explicitly. Often fast, but allocates KR-sized workspace. + - `:slice_gemm`: Uses slice-wise matrix multiplications without materializing the full Khatri-Rao product. Supported for 3-way and 4-way tensors. + - `:direct`: Uses a no-Khatri-Rao path. This resolves to `:slice_gemm` for 3-way and 4-way tensors and to `:contract` for higher-order tensors. + - `:contract`: Uses repeated rank-1 contractions without Khatri-Rao workspace. Most memory-efficient, usually slower. * `verbose = true`: Enables progress output. * `nonnegative::Bool = false`: Nonnegative CPD option to be selected by the user. (same as `nncpd`) * `pullback_eps = 1e-8`: Regularization parameter for pullback-style nonnegative geometries. diff --git a/src/core/tensor_ops.jl b/src/core/tensor_ops.jl index f999392..9ec0f06 100644 --- a/src/core/tensor_ops.jl +++ b/src/core/tensor_ops.jl @@ -483,7 +483,7 @@ function cp_inner_AX( ) end -@inline function _cp_residual_sq_from_gram_unreliable( +@inline function _cp_residual_sq_from_G_unreliable( n2::T, normA2::T, normX2::T, @@ -503,7 +503,7 @@ function cp_residual_stats( normX2 = cp_reconstruction_norm2(components) innerAX = cp_inner_AX(A, components) n2 = normA2 + normX2 - 2 * innerAX - if _cp_residual_sq_from_gram_unreliable(n2, normA2, normX2, innerAX) + if _cp_residual_sq_from_G_unreliable(n2, normA2, normX2, innerAX) return cp_residual_stats_explicit(A, normA2, components) end return (n2, T(0.5) * n2, _relative_error_frob_sq(n2, normA2)) diff --git a/src/cpd/core/mttkrp.jl b/src/cpd/core/mttkrp.jl index de993f0..fa1e8b7 100644 --- a/src/cpd/core/mttkrp.jl +++ b/src/cpd/core/mttkrp.jl @@ -4,6 +4,9 @@ export mttkrp, khatri_rao # Auto policy # --------------------------------------------------------------------------- +@inline _mttkrp_needs_kr_workspace(method::Symbol) = method == :khatri_rao +@inline _mttkrp_needs_tmp_workspace(method::Symbol) = method in (:direct3, :direct4) + @inline function _mttkrp_auto_method_3way(kr_rows::Int, r::Int, mode::Int) # Benchmark-guided 3-way table: # - mode 3 consistently favored explicit KR @@ -32,6 +35,31 @@ end end end +@inline function _mttkrp_resolve_method( + method::Symbol, + dims::NTuple{N,Int}, + r::Int, + mode::Int, +) where {N} + method == :auto && return _mttkrp_auto_method(dims, r, mode) + method in (:khatri_rao, :materialized_kr, :kr) && return :khatri_rao + if method == :slice_gemm + N == 3 && return :direct3 + N == 4 && return :direct4 + throw( + ArgumentError( + "method=:slice_gemm is only supported for 3-way and 4-way tensors", + ), + ) + elseif method == :direct + N == 3 && return :direct3 + N == 4 && return :direct4 + return :contract + else + return method + end +end + # --------------------------------------------------------------------------- # Khatri-Rao helpers # --------------------------------------------------------------------------- @@ -361,7 +389,7 @@ function mttkrp( throw(DimensionMismatch("mttkrp: all factors must have same column count")) end - method_eff = method == :auto ? _mttkrp_auto_method(dims, r, mode) : method + method_eff = _mttkrp_resolve_method(method, dims, r, mode) if method_eff == :khatri_rao return _mttkrp_khatri_rao(A, U, mode) @@ -378,7 +406,7 @@ function mttkrp( else throw( ArgumentError( - "Unknown mttkrp method=$method. Use :auto, :khatri_rao, :direct3, :direct4, or :contract.", + "Unknown mttkrp method=$method. Use :auto, :khatri_rao, :materialized_kr, :direct, :slice_gemm, :direct3, :direct4, or :contract.", ), ) end @@ -402,7 +430,7 @@ function mttkrp!( size(out, 2) == r || throw(DimensionMismatch("mttkrp!: out has $(size(out,2)) columns, expected $r")) - method_eff = method == :auto ? _mttkrp_auto_method(dims, r, mode) : method + method_eff = _mttkrp_resolve_method(method, dims, r, mode) if method_eff == :khatri_rao isnothing(kr_buf) && throw( ArgumentError("mttkrp!: method=:khatri_rao requires a KR workspace buffer"), @@ -440,7 +468,7 @@ function mttkrp!( else throw( ArgumentError( - "Unknown mttkrp method=$method. Use :auto, :khatri_rao, :direct3, :direct4, or :contract.", + "Unknown mttkrp method=$method. Use :auto, :khatri_rao, :materialized_kr, :direct, :slice_gemm, :direct3, :direct4, or :contract.", ), ) end diff --git a/src/solvers/cp_als.jl b/src/solvers/cp_als.jl index b908dea..9416884 100644 --- a/src/solvers/cp_als.jl +++ b/src/solvers/cp_als.jl @@ -3,7 +3,7 @@ export ALSSolver, fit_cp_als struct CPALSWorkspace - grams::Any + Gs::Any V::Any transposed_work::Any denom_work::Any @@ -59,20 +59,33 @@ end function CPALSWorkspace( A::AbstractArray{T}, dims::NTuple{N,Int}, - r::Int, + r::Int; + mttkrp_method::Symbol = :auto, ) where {T<:AbstractFloat,N} - grams = [_cp_als_matrix_workspace_like(A, r, r) for _ = 1:N] + Gs = [_cp_als_matrix_workspace_like(A, r, r) for _ = 1:N] V = _cp_als_matrix_workspace_like(A, r, r) transposed_work = [_cp_als_matrix_workspace_like(A, r, dims[n]) for n = 1:N] denom_work = [_cp_als_matrix_workspace_like(A, dims[n], r) for n = 1:N] mttkrp_bufs = [_cp_als_matrix_workspace_like(A, dims[n], r) for n = 1:N] - mttkrp_tmp_work = [_cp_als_matrix_workspace_like(A, dims[n], r) for n = 1:N] - kr_rows = [div(prod(dims), dims[n]) for n = 1:N] - mttkrp_kr_work = [_cp_als_matrix_workspace_like(A, kr_rows[n], r) for n = 1:N] - mttkrp_kr_work2 = [_cp_als_matrix_workspace_like(A, kr_rows[n], r) for n = 1:N] + total_dim_prod = prod(dims) + resolved_mttkrp_methods = [_mttkrp_resolve_method(mttkrp_method, dims, r, n) for n = 1:N] + mttkrp_tmp_work = Any[ + _mttkrp_needs_tmp_workspace(resolved_mttkrp_methods[n]) ? + _cp_als_matrix_workspace_like(A, dims[n], r) : nothing for n = 1:N + ] + mttkrp_kr_work = Any[ + _mttkrp_needs_kr_workspace(resolved_mttkrp_methods[n]) ? + _cp_als_matrix_workspace_like(A, div(total_dim_prod, dims[n]), r) : + nothing for n = 1:N + ] + mttkrp_kr_work2 = Any[ + _mttkrp_needs_kr_workspace(resolved_mttkrp_methods[n]) ? + _cp_als_matrix_workspace_like(A, div(total_dim_prod, dims[n]), r) : + nothing for n = 1:N + ] cross_buf = _cp_als_matrix_workspace_like(A, r, r) return CPALSWorkspace( - grams, + Gs, V, transposed_work, denom_work, @@ -85,7 +98,7 @@ function CPALSWorkspace( end -@inline function _update_gram!( +@inline function _update_G!( G::AbstractMatrix{T}, U::AbstractMatrix{T}, ) where {T<:AbstractFloat} @@ -93,15 +106,15 @@ end return G end -@inline function _hadamard_gram_except!( +@inline function _hadamard_G_except!( V::AbstractMatrix{T}, - grams::AbstractVector{<:AbstractMatrix{T}}, + Gs::AbstractVector{<:AbstractMatrix{T}}, skip::Int, ) where {T<:AbstractFloat} fill!(V, one(T)) - @inbounds for m in eachindex(grams) + @inbounds for m in eachindex(Gs) m == skip && continue - V .*= grams[m] + V .*= Gs[m] end @inbounds for i in axes(V, 1) V[i, i] += eps(T) @@ -111,11 +124,11 @@ end function _solve_right_spd!( Udest::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, workT::AbstractMatrix{T}, ) where {T<:AbstractFloat} - copyto!(workT, transpose(G)) + copyto!(workT, transpose(M_mttkrp)) F = cholesky!(Hermitian(V)) ldiv!(F, workT) copyto!(Udest, transpose(workT)) @@ -124,24 +137,24 @@ end @inline function _als_mode_update!( Udest::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, workT::AbstractMatrix{T}, ) where {T<:AbstractFloat} - return _solve_right_spd!(Udest, G, V, workT) + return _solve_right_spd!(Udest, M_mttkrp, V, workT) end """ - _cp_als_normalize_weights_and_grams!(λ, U, grams, normalization_policy, update_policy) + _cp_als_normalize_weights_and_Gs!(λ, U, Gs, normalization_policy, update_policy) Post-sweep step: reset `λ` to one, apply the normalization policy, clamp to -nonnegative if required, and refresh Gram matrices. Single pass — see the +nonnegative if required, and refresh G matrices. Single pass — see the module-level design note. """ -@inline function _cp_als_normalize_weights_and_grams!( +@inline function _cp_als_normalize_weights_and_Gs!( λ, U, - grams, + Gs, normalization_policy, update_policy, ) @@ -149,8 +162,8 @@ module-level design note. fill!(λ, one(T)) normalize_components!(U, λ, normalization_policy) update_policy != :ls && _clamp_nonnegative!(λ, U) - @inbounds for n in eachindex(grams) - _update_gram!(grams[n], U[n]) + @inbounds for n in eachindex(Gs) + _update_G!(Gs[n], U[n]) end return nothing end @@ -160,7 +173,7 @@ function _cp_als_stats( normA2::T, λ::AbstractVector{T}, U::AbstractVector{<:AbstractMatrix{T}}, - grams::AbstractVector{<:AbstractMatrix{T}}; + Gs::AbstractVector{<:AbstractMatrix{T}}; mttkrp_method::Symbol = :auto, mttkrp_buf::Union{Nothing,AbstractMatrix{T}} = nothing, mttkrp_work::Union{Nothing,AbstractMatrix{T}} = nothing, @@ -169,14 +182,14 @@ function _cp_als_stats( cross_buf::Union{Nothing,AbstractMatrix{T}} = nothing, ) where {T<:AbstractFloat,N} if isnothing(cross_buf) - cross = copy(grams[1]) + cross = copy(Gs[1]) else cross = cross_buf - copyto!(cross, grams[1]) + copyto!(cross, Gs[1]) end - @inbounds for m = 2:length(grams) - cross .*= grams[m] + @inbounds for m = 2:length(Gs) + cross .*= Gs[m] end normX2 = zero(T) @inbounds for j in axes(cross, 2) @@ -205,7 +218,7 @@ function _cp_als_stats( innerAX += λ[k] * dot(@view(U[1][:, k]), @view(M1[:, k])) end n2 = normA2 + normX2 - 2 * innerAX - if _cp_residual_sq_from_gram_unreliable(n2, normA2, normX2, innerAX) + if _cp_residual_sq_from_G_unreliable(n2, normA2, normX2, innerAX) return cp_residual_stats_explicit(A, normA2, λ, U) end return (n2, T(0.5) * n2, _relative_error_frob_sq(n2, normA2)) @@ -271,10 +284,10 @@ function fit_cp_als( nnls_row_tol = sqrt(eps(T)) nnls_row_tol_min = nnls_row_tol / 10 - workspace = CPALSWorkspace(A, dims, r) - grams = workspace.grams + workspace = CPALSWorkspace(A, dims, r; mttkrp_method = mttkrp_method) + Gs = workspace.Gs @inbounds for n = 1:N - _update_gram!(grams[n], U[n]) + _update_G!(Gs[n], U[n]) end V = workspace.V transposed_work = workspace.transposed_work @@ -294,8 +307,8 @@ function fit_cp_als( pg_sq = zero(T) u_sq = zero(T) for n = 1:N - _hadamard_gram_except!(V, grams, n) - G = mttkrp!( + _hadamard_G_except!(V, Gs, n) + M_mttkrp = mttkrp!( mttkrp_bufs[n], A, U, @@ -306,10 +319,10 @@ function fit_cp_als( kr_work = mttkrp_kr_work2[n], ) if update_policy != :ls - _clamp_nonnegative!(G) + _clamp_nonnegative!(M_mttkrp) _nncp_mode_update!( U[n], - G, + M_mttkrp, V, denom_work[n]; nn_update = update_policy, @@ -317,18 +330,18 @@ function fit_cp_als( nnls_row_tol = nnls_row_tol, ) mul!(denom_work[n], U[n], V) - pg_sq += _projected_grad_sq_nonnegative(U[n], G, denom_work[n]) + pg_sq += _projected_grad_sq_nonnegative(U[n], M_mttkrp, denom_work[n]) u_sq += sum(abs2, U[n]) else - _als_mode_update!(U[n], G, V, transposed_work[n]) + _als_mode_update!(U[n], M_mttkrp, V, transposed_work[n]) end - _update_gram!(grams[n], U[n]) + _update_G!(Gs[n], U[n]) end - _cp_als_normalize_weights_and_grams!( + _cp_als_normalize_weights_and_Gs!( λ, U, - grams, + Gs, normalization_policy, update_policy, ) @@ -338,7 +351,7 @@ function fit_cp_als( normA2, λ, U, - grams; + Gs; mttkrp_method, mttkrp_buf = mttkrp_bufs[1], mttkrp_work = mttkrp_tmp_work[1], @@ -391,7 +404,7 @@ function fit_cp_als( pg_norm = _projected_grad_norm_nonnegative!( A, U, - grams, + Gs, V, denom_work, mttkrp_bufs, @@ -407,7 +420,7 @@ function fit_cp_als( normA2, λ, U, - grams; + Gs; mttkrp_method, mttkrp_buf = mttkrp_bufs[1], mttkrp_work = mttkrp_tmp_work[1], diff --git a/src/solvers/nncp_updates.jl b/src/solvers/nncp_updates.jl index b760bf1..b497ed4 100644 --- a/src/solvers/nncp_updates.jl +++ b/src/solvers/nncp_updates.jl @@ -47,17 +47,17 @@ end function _nncp_mu_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, denom::AbstractMatrix{T}, ) where {T<:AbstractFloat} floor = sqrt(eps(T)) - U .= max.(U .* G ./ (denom .+ floor), floor) + U .= max.(U .* M_mttkrp ./ (denom .+ floor), floor) return U end function _nncp_hals_mode_update!( U::StridedMatrix{T}, - G::StridedMatrix{T}, + M_mttkrp::StridedMatrix{T}, V::StridedMatrix{T}, work::StridedMatrix{T}, ) where {T<:AbstractFloat} @@ -67,7 +67,7 @@ function _nncp_hals_mode_update!( vkk = max(V[k, k], floor) for i in axes(U, 1) old = U[i, k] - new = max((G[i, k] - work[i, k] + old * vkk) / vkk, floor) + new = max((M_mttkrp[i, k] - work[i, k] + old * vkk) / vkk, floor) Δ = new - old U[i, k] = new if !iszero(Δ) @@ -82,7 +82,7 @@ end function _nncp_hals_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, work::AbstractMatrix{T}, ) where {T<:AbstractFloat} @@ -90,7 +90,7 @@ function _nncp_hals_mode_update!( d = max.(diag(V), floor) d_row = reshape(d, 1, :) mul!(work, U, V) - U .= max.((G .- work .+ U .* d_row) ./ d_row, floor) + U .= max.((M_mttkrp .- work .+ U .* d_row) ./ d_row, floor) return U end @@ -147,7 +147,7 @@ end function _nncp_nnls_mode_update!( U::StridedMatrix{T}, - G::StridedMatrix{T}, + M_mttkrp::StridedMatrix{T}, V::StridedMatrix{T}, work::StridedMatrix{T}; max_cd_sweeps::Int = 10, @@ -156,7 +156,7 @@ function _nncp_nnls_mode_update!( @inbounds for i in axes(U, 1) _nncp_nnls_row_update!( view(U, i, :), - view(G, i, :), + view(M_mttkrp, i, :), V, view(work, i, :); max_cd_sweeps, @@ -168,7 +168,7 @@ end function _nncp_nnls_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, work::AbstractMatrix{T}; max_cd_sweeps::Int = 10, @@ -179,7 +179,7 @@ function _nncp_nnls_mode_update!( d_row = reshape(d, 1, :) @inbounds for _ = 1:max_cd_sweeps mul!(work, U, V) - U_new = max.(U .- (work .- G) ./ d_row, floor) + U_new = max.(U .- (work .- M_mttkrp) ./ d_row, floor) max_delta = maximum(abs.(U_new .- U)) copyto!(U, U_new) max_delta <= row_tol * max(maximum(U), one(T)) && break @@ -189,7 +189,7 @@ end function _nncp_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, denom::AbstractMatrix{T}; nn_update, @@ -198,7 +198,7 @@ function _nncp_mode_update!( ) where {T<:AbstractFloat} return _nncp_mode_update!( U, - G, + M_mttkrp, V, denom, nn_update_policy(nn_update); @@ -209,7 +209,7 @@ end @inline function _nncp_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, denom::AbstractMatrix{T}, ::MultiplicativeNNUpdate; @@ -217,25 +217,25 @@ end nnls_row_tol::T = sqrt(eps(T)), ) where {T<:AbstractFloat} mul!(denom, U, V) - return _nncp_mu_mode_update!(U, G, denom) + return _nncp_mu_mode_update!(U, M_mttkrp, denom) end @inline function _nncp_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, denom::AbstractMatrix{T}, ::HALSNNUpdate; nnls_max_cd_sweeps::Int = 10, nnls_row_tol::T = sqrt(eps(T)), ) where {T<:AbstractFloat} - return _nncp_hals_mode_update!(U, G, V, denom) + return _nncp_hals_mode_update!(U, M_mttkrp, V, denom) end @inline function _nncp_mode_update!( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, V::AbstractMatrix{T}, denom::AbstractMatrix{T}, ::NNLSUpdate; @@ -244,7 +244,7 @@ end ) where {T<:AbstractFloat} return _nncp_nnls_mode_update!( U, - G, + M_mttkrp, V, denom; max_cd_sweeps = nnls_max_cd_sweeps, @@ -254,12 +254,12 @@ end @inline function _projected_grad_sq_nonnegative( U::AbstractMatrix{T}, - G::AbstractMatrix{T}, + M_mttkrp::AbstractMatrix{T}, denom::AbstractMatrix{T}, ) where {T<:AbstractFloat} floor = sqrt(eps(T)) active_floor = 10 * floor - grad = denom .- G + grad = denom .- M_mttkrp pg = ifelse.(U .<= active_floor, min.(grad, zero(T)), grad) return sum(abs2, pg) end @@ -271,16 +271,16 @@ function _projected_grad_norm_nonnegative!( V::AbstractMatrix{T}, denom_work::AbstractVector{<:AbstractMatrix{T}}, mttkrp_bufs::AbstractVector{<:AbstractMatrix{T}}, - mttkrp_tmp_work::AbstractVector{<:AbstractMatrix{T}}, - mttkrp_kr_work::AbstractVector{<:AbstractMatrix{T}}, - mttkrp_kr_work2::AbstractVector{<:AbstractMatrix{T}}; + mttkrp_tmp_work::AbstractVector, + mttkrp_kr_work::AbstractVector, + mttkrp_kr_work2::AbstractVector; mttkrp_method::Symbol = :auto, ) where {T<:AbstractFloat,N} sq = zero(T) u_sq = zero(T) for n = 1:N - _hadamard_gram_except!(V, grams, n) - G = mttkrp!( + _hadamard_G_except!(V, grams, n) + M_mttkrp = mttkrp!( mttkrp_bufs[n], A, U, @@ -290,9 +290,9 @@ function _projected_grad_norm_nonnegative!( kr_buf = mttkrp_kr_work[n], kr_work = mttkrp_kr_work2[n], ) - _clamp_nonnegative!(G) + _clamp_nonnegative!(M_mttkrp) mul!(denom_work[n], U[n], V) - sq += _projected_grad_sq_nonnegative(U[n], G, denom_work[n]) + sq += _projected_grad_sq_nonnegative(U[n], M_mttkrp, denom_work[n]) u_sq += sum(abs2, U[n]) end return sqrt(sq / max(u_sq, one(T))) diff --git a/test/basic_tests.jl b/test/basic_tests.jl index 0445ff7..b17525b 100644 --- a/test/basic_tests.jl +++ b/test/basic_tests.jl @@ -2144,8 +2144,44 @@ end for mode = 1:3 G_kr = mttkrp(A, U3, mode; method = :khatri_rao) G_ct = mttkrp(A, U3, mode; method = :contract) + G_dir = mttkrp(A, U3, mode; method = :direct) + G_sg = mttkrp(A, U3, mode; method = :slice_gemm) @test G_ct ≈ G_kr atol = 1e-10 + @test G_dir ≈ G_kr atol = 1e-10 + @test G_sg ≈ G_kr atol = 1e-10 end + + A4 = randn(7, 5, 4, 3) + U4 = [randn(7, 2), randn(5, 2), randn(4, 2), randn(3, 2)] + for mode = 1:4 + G_kr = mttkrp(A4, U4, mode; method = :materialized_kr) + G_dir = mttkrp(A4, U4, mode; method = :direct) + G_sg = mttkrp(A4, U4, mode; method = :slice_gemm) + @test G_dir ≈ G_kr atol = 1e-10 + @test G_sg ≈ G_kr atol = 1e-10 + end + + A5 = randn(4, 3, 2, 3, 2) + U5 = [randn(4, 2), randn(3, 2), randn(2, 2), randn(3, 2), randn(2, 2)] + for mode = 1:5 + G_kr = mttkrp(A5, U5, mode; method = :khatri_rao) + G_dir = mttkrp(A5, U5, mode; method = :direct) + @test G_dir ≈ G_kr atol = 1e-10 + end + + ws_direct3 = TensorKitchen.CPALSWorkspace(A, size(A), 3; mttkrp_method = :direct) + @test all(isnothing, ws_direct3.mttkrp_kr_work) + @test all(isnothing, ws_direct3.mttkrp_kr_work2) + @test all(x -> !isnothing(x), ws_direct3.mttkrp_tmp_work) + + ws_kr = TensorKitchen.CPALSWorkspace(A, size(A), 3; mttkrp_method = :materialized_kr) + @test all(x -> !isnothing(x), ws_kr.mttkrp_kr_work) + @test all(x -> !isnothing(x), ws_kr.mttkrp_kr_work2) + + ws_direct5 = TensorKitchen.CPALSWorkspace(A5, size(A5), 2; mttkrp_method = :direct) + @test all(isnothing, ws_direct5.mttkrp_kr_work) + @test all(isnothing, ws_direct5.mttkrp_kr_work2) + @test all(isnothing, ws_direct5.mttkrp_tmp_work) end @testset "utils: cross_component, build_cross_matrix, grad_lambda_cp, cp_rankr_cost_value, cross_term_gradU, gradU_column_cp" begin From a29b2a70e9b519c08ae146f1015a4370e8bddfbd Mon Sep 17 00:00:00 2001 From: SE Choi Date: Sun, 10 May 2026 14:09:25 +0200 Subject: [PATCH 02/13] read variables; add docstrings for solvers --- src/core/tensor_ops.jl | 4 ++-- src/solvers/btd_tsd.jl | 38 +++++++++++++++++++++++++++++++++++--- src/solvers/cp_als.jl | 16 ++++++++-------- 3 files changed, 45 insertions(+), 13 deletions(-) diff --git a/src/core/tensor_ops.jl b/src/core/tensor_ops.jl index 9ec0f06..5f89be5 100644 --- a/src/core/tensor_ops.jl +++ b/src/core/tensor_ops.jl @@ -325,7 +325,7 @@ function rank1_mode_contract_column!( end return out end - +# 3D version function rank1_mode_contract_column( A::AbstractArray{T,3}, U::AbstractVector{<:AbstractMatrix{T}}, @@ -347,7 +347,7 @@ function rank1_mode_contract_column( end return out end - +# 4D version function rank1_mode_contract_column( A::AbstractArray{T,4}, U::AbstractVector{<:AbstractMatrix{T}}, diff --git a/src/solvers/btd_tsd.jl b/src/solvers/btd_tsd.jl index 4fc38b1..30c36d3 100644 --- a/src/solvers/btd_tsd.jl +++ b/src/solvers/btd_tsd.jl @@ -1,4 +1,16 @@ # solvers/btd_tsd.jl — blockwise tangent-subspace descent for BTD + +# This solver is inspired by tangent-subspace descent (TSD) in +# Gutman and Ho-Nguyen, "Coordinate Descent Without Coordinates: +# Tangent Subspace Descent on Riemannian Manifolds", +# Mathematics of Operations Research, 48(1):127–159, 2023. +# +# In the present implementation, the selected tangent subspace is the +# tangent space of one Tucker block inside the BTD join/product model. +# Thus this is a BTD-specialized blockwise TSD / Riemannian block-coordinate +# descent method, rather than the exact algorithm studied for Stiefel/orthogonal +# examples in the original TSD paper. + export BTDTSDSolver, TSDSolver """ @@ -8,6 +20,11 @@ export BTDTSDSolver, TSDSolver Blockwise tangent-subspace descent specialized to BTD. Each block update uses the projected Tucker-block tangent direction and accepts it only when a block Armijo decrease condition is satisfied. + +This solver is inspired by tangent-subspace descent (TSD) in +Gutman and Ho-Nguyen, "Coordinate Descent Without Coordinates: +Tangent Subspace Descent on Riemannian Manifolds", +Mathematics of Operations Research, 48(1):127–159, 2023. """ struct BTDTSDSolver <: AbstractFirstOrderSolver stepsize::Float64 @@ -18,12 +35,27 @@ struct BTDTSDSolver <: AbstractFirstOrderSolver armijo_alpha_min::Float64 end -const TSDSolver = BTDTSDSolver +""" + BTDTSDSolver(; schedule=:cyclic, block_repeats=1, ...) + +Blockwise tangent-subspace descent for BTD. + +The `schedule` keyword controls the order in which Tucker blocks are updated. +- `schedule = :cyclic`: updates blocks in the deterministic order + `1, 2, ..., R` at every sweep. + +- `schedule = :random`: updates all blocks once per sweep, but in a fresh + random permutation. This is random reshuffling, not sampling with replacement. + +The cyclic schedule is the default because it is deterministic and easiest to +analyze. The random schedule can be useful experimentally when different BTD +blocks compete strongly for the same residual structure. +""" function BTDTSDSolver(; stepsize::Real = 1.0, - schedule::Symbol = :cyclic, - block_repeats::Int = 1, + schedule::Symbol = :cyclic, + block_repeats::Int = 1, # number of times to repeat the block update sequence at each iteration armijo_contraction::Real = 0.5, armijo_sufficient_decrease::Real = 1e-4, armijo_alpha_min::Real = 1e-12, diff --git a/src/solvers/cp_als.jl b/src/solvers/cp_als.jl index 9416884..1054647 100644 --- a/src/solvers/cp_als.jl +++ b/src/solvers/cp_als.jl @@ -3,15 +3,15 @@ export ALSSolver, fit_cp_als struct CPALSWorkspace - Gs::Any - V::Any - transposed_work::Any - denom_work::Any - mttkrp_bufs::Any - mttkrp_tmp_work::Any - mttkrp_kr_work::Any + Gs::Any # Unpacked G matrices (U[n] * U[n]') + V::Any # V matrix (U[1] * U[1]') - cached MTTKRP result + transposed_work::Any + denom_work::Any # Denominator matrix for non-LS updates + mttkrp_bufs::Any + mttkrp_tmp_work::Any + mttkrp_kr_work::Any # MTTKRP kernel result buffer mttkrp_kr_work2::Any - cross_buf::Any + cross_buf::Any end # --- backend-adaptive allocation helpers ------------------------------------ From 1e66c64d40f287a66b4b0a3c478b6cd489580102 Mon Sep 17 00:00:00 2001 From: SE Choi Date: Mon, 11 May 2026 07:44:35 +0200 Subject: [PATCH 03/13] edit PIPELINE.md --- docs/src/PIPELINE.md | 32 +++++++++++++++++--------------- 1 file changed, 17 insertions(+), 15 deletions(-) diff --git a/docs/src/PIPELINE.md b/docs/src/PIPELINE.md index 7b1f74a..b1ef8bd 100644 --- a/docs/src/PIPELINE.md +++ b/docs/src/PIPELINE.md @@ -5,11 +5,11 @@ converters. ## Public entry points -- `cpd(A, r; ...)` -> `CPDResult` -- `nncpd(A, r; ...)` -> `CPDResult` -- `btd(A, blocks, ranks; ...)` -> `BTDResult` -- `tucker(A, ranks; method=...)` -> `TuckerResult` -- `approx(...)` -> `ApproxResult` or auto-routed `CPDResult`/`BTDResult` +- CP Decomposition `cpd(A, r; ...)` +- Nonnegative CP Decomposition `nncpd(A, r; ...)` +- Block Term Decomposition `btd(A, blocks, ranks; ...)` +- Tucker Decomposition `tucker(A, ranks; method=...)` +- Join Decomposition `approx(...)` ## Default behavior (quick reference) @@ -30,8 +30,7 @@ converters. - `tucker(A, ranks)`: - `method = :sthosvd` - `approx(model::JoinModel)`: - - `init = :alswarm` - - `warm_steps = 500` + - `init = :random` - `solver = :rgd` ## Core execution architecture @@ -54,13 +53,14 @@ symbol-to-solver dispatch layer (`:rgd`, `:rcg`, `:lbfgs`, `:als`, `:btd_tsd`). 1. Build `JoinModel(A, r; geometry=...)` with `CPDBackend` 2. Normalize/validate options (`solver`, `geometry`, `gradient_mode`, normalization policy) 3. Solve through `_solve_model(...)` -4. Optionally run nonnegative ALS polishing (for selected nonnegative paths) -5. Convert to `CPDResult` +4. Convert to `CPDResult` Notes: - `:als` means CP-ALS. - Manifold solvers (`:rgd`, `:rgd_fixed`, `:rcg`, `:lbfgs`) share dispatch with other pipelines. +- For `solver != :als`, `init = :auto` resolves to `:alswarm`, so CPD and NNCPD start from an ALS warm point before manifold refinement. +- Generic `approx(...)` does not use CPD's ALS warm-start path unless it auto-routes to `cpd(...)`. ### BTD (`btd`) @@ -76,7 +76,7 @@ Notes: 6. If `solver != :als`, optionally polish with BTD-ALS (`btd_als_polish_maxiter`) 7. Convert to `BTDResult` -Polish step usefulness (brief): +Polish step usefulness: - Usually helpful for a small final `rel_error` reduction after RGD converges near a good basin. - Most useful for quality-focused runs (benchmarks, final fits). @@ -93,7 +93,7 @@ BTD-ALS stabilization behavior: - Tracks per-iteration fit change (`|rel_t - rel_{t-1}|`) - Detects stagnation when fit change is tiny but `rel_error` remains high - Can restart from fresh multistart pool (`max_stagnation_restarts`) -- Reports true final Riemannian gradient norm (`grad_norm`) instead of a placeholder +- Reports true final Riemannian gradient norm (`grad_norm`) ### Tucker (`tucker`) @@ -113,6 +113,11 @@ It dispatches directly to decomposition routines: `dispatch=:cpd`, `:btd`, and `:generic` force behavior. +For the generic `JoinModel` path, `approx(...)` starts from `init = :random` +by default and then runs the selected manifold solver. It does not run an ALS +warm-start stage, because a general join component does not necessarily expose +factor matrices or least-squares block updates. + ## Result types and post-processing - `CPDResult` @@ -127,7 +132,4 @@ Common utilities: ## File map -- API entry points: `src/api/approx.jl`, `src/api/cpd.jl`, `src/api/nncpd.jl`, `src/api/btd.jl` -- Routing helpers: `src/dispatch/approx_routing.jl` -- Solver dispatch core: `src/solvers/solve_dispatch.jl` -- BTD backend/init details: `src/btd/model.jl`, `src/solvers/btd_als.jl` +- API entry points: `src/api/approx.jl`, `src/api/cpd.jl`, `src/api/nncpd.jl`, `src/api/btd.jl`, `src/api/tucker.jl` From 2d579d4bc000221dfb8abd74fbca27be3f847a21 Mon Sep 17 00:00:00 2001 From: Se Eun Choi Date: Mon, 11 May 2026 07:57:26 +0200 Subject: [PATCH 04/13] Refactor documentation in cpd.jl Removed redundant bullet points from the documentation regarding gradient mode and method. --- src/api/cpd.jl | 12 +++--------- 1 file changed, 3 insertions(+), 9 deletions(-) diff --git a/src/api/cpd.jl b/src/api/cpd.jl index c7b6a31..69c7701 100644 --- a/src/api/cpd.jl +++ b/src/api/cpd.jl @@ -399,20 +399,14 @@ If `r` is omitted, uses the smallest tensor mode as a heuristic rank. * `stepsize = 1.0`: Initial step size for line search in Riemannian gradient descent. * `tol = 1e-6`: Convergence tolerance. * `gradient_mode = :riemannian`: Gradient rule for manifold solvers. - - If the model has a direct rgrad, it uses that. - - Otherwise it computes egrad and projects it to the tangent space. - - This behavior is in src/solvers/abstract.jl (line 289). + - If the model has a direct rgrad, it uses that. + - Otherwise it computes egrad and projects it to the tangent space. + - This behavior is in src/solvers/abstract.jl (line 289). * `geometry = :canonical`: Sets the geometry of the manifold. Possible options are: - `:canonical`: Standard CPD parameterization with the usual Euclidean factors and canonical Riemannian gradient handling. Best default for general unconstrained CPD. - `:squaring_metric`: Nonnegative geometry based on squared latent coordinates. Enforces nonnegativity indirectly, but can become ill-conditioned near zero. - `:softplus_metric`: Nonnegative geometry uses a regularized pullback-inspired geometry induced by the softplus chart. Smoother and usually more stable near zero than `:squaring_metric`. - `:native`: Native CP manifold geometry using the model’s intrinsic CP/Segre representation not for nonnegative=true. Best for structured join layouts with `Manifolds.Segre` summands. -* `mttkrp_method = :auto`: MTTKRP kernel used by CP-ALS and ALS warm starts. - - `:auto`: Chooses a method from tensor order, rank, and workspace size heuristics. - - `:materialized_kr` or `:khatri_rao`: Forms the Khatri-Rao product explicitly. Often fast, but allocates KR-sized workspace. - - `:slice_gemm`: Uses slice-wise matrix multiplications without materializing the full Khatri-Rao product. Supported for 3-way and 4-way tensors. - - `:direct`: Uses a no-Khatri-Rao path. This resolves to `:slice_gemm` for 3-way and 4-way tensors and to `:contract` for higher-order tensors. - - `:contract`: Uses repeated rank-1 contractions without Khatri-Rao workspace. Most memory-efficient, usually slower. * `verbose = true`: Enables progress output. * `nonnegative::Bool = false`: Nonnegative CPD option to be selected by the user. (same as `nncpd`) * `pullback_eps = 1e-8`: Regularization parameter for pullback-style nonnegative geometries. From 0f5ac0fb3f9ec19296e0f35b5aa1d28c5d676492 Mon Sep 17 00:00:00 2001 From: Se Eun Choi Date: Mon, 11 May 2026 08:12:47 +0200 Subject: [PATCH 05/13] Simplify mttkrp method checks and update comments Refactor mttkrp method handling and improve error messages. --- src/cpd/core/mttkrp.jl | 35 ++++++++++------------------------- 1 file changed, 10 insertions(+), 25 deletions(-) diff --git a/src/cpd/core/mttkrp.jl b/src/cpd/core/mttkrp.jl index fa1e8b7..1a4cb5b 100644 --- a/src/cpd/core/mttkrp.jl +++ b/src/cpd/core/mttkrp.jl @@ -1,8 +1,6 @@ # cpd/core/mttkrp.jl — CPD-specific MTTKRP kernels and dispatch +# Improvement of resolving mttkrp bottleneck still in progress export mttkrp, khatri_rao -# --------------------------------------------------------------------------- -# Auto policy -# --------------------------------------------------------------------------- @inline _mttkrp_needs_kr_workspace(method::Symbol) = method == :khatri_rao @inline _mttkrp_needs_tmp_workspace(method::Symbol) = method in (:direct3, :direct4) @@ -42,28 +40,21 @@ end mode::Int, ) where {N} method == :auto && return _mttkrp_auto_method(dims, r, mode) - method in (:khatri_rao, :materialized_kr, :kr) && return :khatri_rao - if method == :slice_gemm + method == :khatri_rao && return :khatri_rao + if method == :direct N == 3 && return :direct3 N == 4 && return :direct4 + return :contract + else throw( ArgumentError( - "method=:slice_gemm is only supported for 3-way and 4-way tensors", + "Unknown mttkrp method=$method. Use :auto, :khatri_rao, or :direct.", ), ) - elseif method == :direct - N == 3 && return :direct3 - N == 4 && return :direct4 - return :contract - else - return method end end -# --------------------------------------------------------------------------- -# Khatri-Rao helpers -# --------------------------------------------------------------------------- - +# forming Khatri-Rao product helper, the loop is costly. function khatri_rao(mats::AbstractVector{<:AbstractMatrix{T}}) where {T<:AbstractFloat} if isempty(mats) throw(ArgumentError("khatri_rao: empty matrix list")) @@ -170,10 +161,7 @@ function _mttkrp_khatri_rao!( return out end -# --------------------------------------------------------------------------- # Direct and contraction kernels -# --------------------------------------------------------------------------- - @inline function _accumulate_scaled_columns!( out::AbstractMatrix{T}, tmp::AbstractMatrix{T}, @@ -352,10 +340,7 @@ function _mttkrp_contract( return out end -# --------------------------------------------------------------------------- -# Public API -# --------------------------------------------------------------------------- - +#Public API function mttkrp( A::AbstractArray{T,N}, components::Vector{RankOneTensor{T}}, @@ -406,7 +391,7 @@ function mttkrp( else throw( ArgumentError( - "Unknown mttkrp method=$method. Use :auto, :khatri_rao, :materialized_kr, :direct, :slice_gemm, :direct3, :direct4, or :contract.", + "Unknown mttkrp method=$method. Use :auto, :khatri_rao, or :direct.", ), ) end @@ -468,7 +453,7 @@ function mttkrp!( else throw( ArgumentError( - "Unknown mttkrp method=$method. Use :auto, :khatri_rao, :materialized_kr, :direct, :slice_gemm, :direct3, :direct4, or :contract.", + "Unknown mttkrp method=$method. Use :auto, :khatri_rao, or :direct.", ), ) end From 429c716925a545dceef9444c2914904d2f77b5e9 Mon Sep 17 00:00:00 2001 From: SE Choi Date: Mon, 11 May 2026 08:17:09 +0200 Subject: [PATCH 06/13] Format unformatted files to pass format check --- src/solvers/btd_tsd.jl | 2 +- src/solvers/cp_als.jl | 27 +++++++++++---------------- 2 files changed, 12 insertions(+), 17 deletions(-) diff --git a/src/solvers/btd_tsd.jl b/src/solvers/btd_tsd.jl index 30c36d3..3f12788 100644 --- a/src/solvers/btd_tsd.jl +++ b/src/solvers/btd_tsd.jl @@ -54,7 +54,7 @@ blocks compete strongly for the same residual structure. """ function BTDTSDSolver(; stepsize::Real = 1.0, - schedule::Symbol = :cyclic, + schedule::Symbol = :cyclic, block_repeats::Int = 1, # number of times to repeat the block update sequence at each iteration armijo_contraction::Real = 0.5, armijo_sufficient_decrease::Real = 1e-4, diff --git a/src/solvers/cp_als.jl b/src/solvers/cp_als.jl index 1054647..3135f84 100644 --- a/src/solvers/cp_als.jl +++ b/src/solvers/cp_als.jl @@ -5,13 +5,13 @@ export ALSSolver, fit_cp_als struct CPALSWorkspace Gs::Any # Unpacked G matrices (U[n] * U[n]') V::Any # V matrix (U[1] * U[1]') - cached MTTKRP result - transposed_work::Any + transposed_work::Any denom_work::Any # Denominator matrix for non-LS updates - mttkrp_bufs::Any - mttkrp_tmp_work::Any + mttkrp_bufs::Any + mttkrp_tmp_work::Any mttkrp_kr_work::Any # MTTKRP kernel result buffer mttkrp_kr_work2::Any - cross_buf::Any + cross_buf::Any end # --- backend-adaptive allocation helpers ------------------------------------ @@ -68,20 +68,21 @@ function CPALSWorkspace( denom_work = [_cp_als_matrix_workspace_like(A, dims[n], r) for n = 1:N] mttkrp_bufs = [_cp_als_matrix_workspace_like(A, dims[n], r) for n = 1:N] total_dim_prod = prod(dims) - resolved_mttkrp_methods = [_mttkrp_resolve_method(mttkrp_method, dims, r, n) for n = 1:N] + resolved_mttkrp_methods = + [_mttkrp_resolve_method(mttkrp_method, dims, r, n) for n = 1:N] mttkrp_tmp_work = Any[ _mttkrp_needs_tmp_workspace(resolved_mttkrp_methods[n]) ? _cp_als_matrix_workspace_like(A, dims[n], r) : nothing for n = 1:N ] mttkrp_kr_work = Any[ _mttkrp_needs_kr_workspace(resolved_mttkrp_methods[n]) ? - _cp_als_matrix_workspace_like(A, div(total_dim_prod, dims[n]), r) : - nothing for n = 1:N + _cp_als_matrix_workspace_like(A, div(total_dim_prod, dims[n]), r) : nothing for + n = 1:N ] mttkrp_kr_work2 = Any[ _mttkrp_needs_kr_workspace(resolved_mttkrp_methods[n]) ? - _cp_als_matrix_workspace_like(A, div(total_dim_prod, dims[n]), r) : - nothing for n = 1:N + _cp_als_matrix_workspace_like(A, div(total_dim_prod, dims[n]), r) : nothing for + n = 1:N ] cross_buf = _cp_als_matrix_workspace_like(A, r, r) return CPALSWorkspace( @@ -338,13 +339,7 @@ function fit_cp_als( _update_G!(Gs[n], U[n]) end - _cp_als_normalize_weights_and_Gs!( - λ, - U, - Gs, - normalization_policy, - update_policy, - ) + _cp_als_normalize_weights_and_Gs!(λ, U, Gs, normalization_policy, update_policy) _, _, rel_error = _cp_als_stats( A, From 7da3d6da86b56d20b77d9b85fb89b5f25f0a63b5 Mon Sep 17 00:00:00 2001 From: SE Choi Date: Mon, 11 May 2026 08:31:38 +0200 Subject: [PATCH 07/13] fix an error for mttkrp! check --- README.md | 33 +++++++++++++++++++++++++++++++++ src/cpd/core/mttkrp.jl | 23 +++++++++++++++++++---- test/basic_tests.jl | 42 +++++++++++++++++++++++++++++++++--------- 3 files changed, 85 insertions(+), 13 deletions(-) diff --git a/README.md b/README.md index 0568295..416813f 100644 --- a/README.md +++ b/README.md @@ -28,6 +28,39 @@ See [PIPELINE.md](docs/src/PIPELINE.md) for the current execution flow. --- +## Installation + +TensorKitchen.jl requires Julia `1.10` or newer. + +Install the current development version from GitHub: + +```julia +using Pkg +Pkg.add(url = "https://github.com/TensorKitchen/TensorKitchen.jl") +``` + +Then load the package: + +```julia +using TensorKitchen +``` + +For local development, clone the repository and instantiate the project: + +```bash +git clone https://github.com/TensorKitchen/TensorKitchen.jl.git +cd TensorKitchen.jl +julia --project=. -e 'using Pkg; Pkg.instantiate()' +``` + +Run the test suite with: + +```bash +julia --project=. test/runtests.jl +``` + +--- + The next updates will include - Handling of swamps/plateaus in the optimization step diff --git a/src/cpd/core/mttkrp.jl b/src/cpd/core/mttkrp.jl index 1a4cb5b..47be706 100644 --- a/src/cpd/core/mttkrp.jl +++ b/src/cpd/core/mttkrp.jl @@ -1,7 +1,6 @@ # cpd/core/mttkrp.jl — CPD-specific MTTKRP kernels and dispatch -# Improvement of resolving mttkrp bottleneck still in progress -export mttkrp, khatri_rao - +# Improvement of resolving mttkrp bottleneck still in progress +export mttkrp, mttkrp!, khatri_rao, khatri_rao! @inline _mttkrp_needs_kr_workspace(method::Symbol) = method == :khatri_rao @inline _mttkrp_needs_tmp_workspace(method::Symbol) = method in (:direct3, :direct4) @@ -408,10 +407,26 @@ function mttkrp!( kr_work = nothing, ) where {T<:AbstractFloat,N} dims = size(A) + mode < 1 && throw(ArgumentError("mode must be >= 1")) + mode > N && throw(ArgumentError("mode must be <= ndims(A)")) + isempty(U) && throw(ArgumentError("mttkrp: factor list is empty")) + length(U) == N || + throw(DimensionMismatch("mttkrp: expected $N factor matrices, got $(length(U))")) + + r = size(U[1], 2) + @inbounds for m = 1:N + size(U[m], 1) == dims[m] || throw( + DimensionMismatch( + "mttkrp: U[$m] has $(size(U[m], 1)) rows, expected $(dims[m])", + ), + ) + size(U[m], 2) == r || + throw(DimensionMismatch("mttkrp: all factors must have same column count")) + end + size(out, 1) == dims[mode] || throw( DimensionMismatch("mttkrp!: out has $(size(out,1)) rows, expected $(dims[mode])"), ) - r = size(U[1], 2) size(out, 2) == r || throw(DimensionMismatch("mttkrp!: out has $(size(out,2)) columns, expected $r")) diff --git a/test/basic_tests.jl b/test/basic_tests.jl index b17525b..c828ba4 100644 --- a/test/basic_tests.jl +++ b/test/basic_tests.jl @@ -2139,26 +2139,20 @@ end ) @test err_tuck_model <= err_diag_model + 1e-8 - # mttkrp: contract path should match explicit Khatri-Rao path + # mttkrp: direct path should match explicit Khatri-Rao path U3 = [randn(8, 3), randn(6, 3), randn(5, 3)] for mode = 1:3 G_kr = mttkrp(A, U3, mode; method = :khatri_rao) - G_ct = mttkrp(A, U3, mode; method = :contract) G_dir = mttkrp(A, U3, mode; method = :direct) - G_sg = mttkrp(A, U3, mode; method = :slice_gemm) - @test G_ct ≈ G_kr atol = 1e-10 @test G_dir ≈ G_kr atol = 1e-10 - @test G_sg ≈ G_kr atol = 1e-10 end A4 = randn(7, 5, 4, 3) U4 = [randn(7, 2), randn(5, 2), randn(4, 2), randn(3, 2)] for mode = 1:4 - G_kr = mttkrp(A4, U4, mode; method = :materialized_kr) + G_kr = mttkrp(A4, U4, mode; method = :khatri_rao) G_dir = mttkrp(A4, U4, mode; method = :direct) - G_sg = mttkrp(A4, U4, mode; method = :slice_gemm) @test G_dir ≈ G_kr atol = 1e-10 - @test G_sg ≈ G_kr atol = 1e-10 end A5 = randn(4, 3, 2, 3, 2) @@ -2174,7 +2168,7 @@ end @test all(isnothing, ws_direct3.mttkrp_kr_work2) @test all(x -> !isnothing(x), ws_direct3.mttkrp_tmp_work) - ws_kr = TensorKitchen.CPALSWorkspace(A, size(A), 3; mttkrp_method = :materialized_kr) + ws_kr = TensorKitchen.CPALSWorkspace(A, size(A), 3; mttkrp_method = :khatri_rao) @test all(x -> !isnothing(x), ws_kr.mttkrp_kr_work) @test all(x -> !isnothing(x), ws_kr.mttkrp_kr_work2) @@ -2182,6 +2176,36 @@ end @test all(isnothing, ws_direct5.mttkrp_kr_work) @test all(isnothing, ws_direct5.mttkrp_kr_work2) @test all(isnothing, ws_direct5.mttkrp_tmp_work) + + out_buf = zeros(size(A, 1), size(U3[1], 2)) + @test_throws ArgumentError TensorKitchen.mttkrp!( + out_buf, + A, + Matrix{Float64}[], + 1; + method = :direct, + ) + @test_throws DimensionMismatch TensorKitchen.mttkrp!( + out_buf, + A, + [U3[1], U3[2]], + 1; + method = :direct, + ) + @test_throws DimensionMismatch TensorKitchen.mttkrp!( + out_buf, + A, + [randn(7, 3), U3[2], U3[3]], + 1; + method = :direct, + ) + @test_throws DimensionMismatch TensorKitchen.mttkrp!( + out_buf, + A, + [U3[1], randn(6, 2), U3[3]], + 1; + method = :direct, + ) end @testset "utils: cross_component, build_cross_matrix, grad_lambda_cp, cp_rankr_cost_value, cross_term_gradU, gradU_column_cp" begin From 55cc2a90e29a3d9c1043c0c3f64bb313a1a423f3 Mon Sep 17 00:00:00 2001 From: SE Choi Date: Mon, 11 May 2026 08:34:48 +0200 Subject: [PATCH 08/13] add installation guide in README.md --- README.md | 6 ------ 1 file changed, 6 deletions(-) diff --git a/README.md b/README.md index 416813f..c375708 100644 --- a/README.md +++ b/README.md @@ -53,12 +53,6 @@ cd TensorKitchen.jl julia --project=. -e 'using Pkg; Pkg.instantiate()' ``` -Run the test suite with: - -```bash -julia --project=. test/runtests.jl -``` - --- The next updates will include From 767f8955a78a224624da8798686278b5ed3044da Mon Sep 17 00:00:00 2001 From: SE Choi Date: Mon, 11 May 2026 09:08:15 +0200 Subject: [PATCH 09/13] modify/separate reconstruct infos of each method in documentation --- src/results/reconstruct.jl | 18 +++++++++++++++++- src/tucker/sthosvd.jl | 7 +++++-- 2 files changed, 22 insertions(+), 3 deletions(-) diff --git a/src/results/reconstruct.jl b/src/results/reconstruct.jl index 3a60cf2..98da321 100644 --- a/src/results/reconstruct.jl +++ b/src/results/reconstruct.jl @@ -1,11 +1,21 @@ # results/reconstruct.jl — result reconstruction helpers export reconstruct +""" + reconstruct(res::CPDResult) + +Reconstruct the dense tensor represented by a CP decomposition result. + +For a rank-`R` CPD result, this returns +`sum(weights(res)[k] * u_1k ⊗ ... ⊗ u_Nk for k = 1:R)`. +""" reconstruct(res::CPDResult) = reconstruct_cpd_rankr(components(res)) """ reconstruct(res::ApproxResult) - reconstruct(res::BTDResult) + +Reconstruct the dense ambient object represented by a generic join +approximation result by summing its component tensors. """ function reconstruct(res::ApproxResult) comps = components(res) @@ -18,6 +28,12 @@ function reconstruct(res::ApproxResult) return X end +""" + reconstruct(res::BTDResult) + +Reconstruct the dense tensor represented by a block-term decomposition result +by summing the reconstructed Tucker blocks. +""" function reconstruct(res::BTDResult) comps = components(res) isempty(comps) && throw(ArgumentError("BTDResult has no components to reconstruct.")) diff --git a/src/tucker/sthosvd.jl b/src/tucker/sthosvd.jl index 8859e55..93a0609 100644 --- a/src/tucker/sthosvd.jl +++ b/src/tucker/sthosvd.jl @@ -18,9 +18,12 @@ by sequentially computing truncated SVDs mode by mode, projecting (shrinking) th # TuckerResult struct and show live in core/types.jl. Uses unfold_mode, mode_n_product from core/tensor_ops. """ - reconstruct(td::TuckerResult) reconstructs the tensor from Tucker decomposition + reconstruct(td::TuckerResult) - A = S ×₁ U₁ ×₂ U₂ ⋯ ×_d U_d +Reconstruct the dense tensor represented by a Tucker decomposition result. + +For a Tucker result with core `S` and factors `U_1, ..., U_d`, this returns +`S ×_1 U_1 ×_2 U_2 ... ×_d U_d`. """ function reconstruct(td::TuckerResult{T,N}) where {T,N} A = td.core From c5f35d5afa7d3c67d6e859adcf30be5fc08bb70a Mon Sep 17 00:00:00 2001 From: SE Choi Date: Mon, 11 May 2026 10:19:41 +0200 Subject: [PATCH 10/13] update header, title in index.md --- README.md | 30 +++++++++++++++--------------- docs/make.jl | 2 +- docs/src/index.md | 5 +++-- 3 files changed, 19 insertions(+), 18 deletions(-) diff --git a/README.md b/README.md index c375708..7ca5511 100644 --- a/README.md +++ b/README.md @@ -24,6 +24,20 @@ What currently works is - Block Term Decomposition (BTD) - Join Decompositions + +The next updates will include + +- Handling of swamps/plateaus in the optimization step +- Documentation +- Improved User Interface +- GPU Support +- LL1 Decomposition (3-way specialized BTD) +- Symmetric CP / Waring Decomposition +- Partially Symmetric CP +- Tensor Trains + +
+ See [PIPELINE.md](docs/src/PIPELINE.md) for the current execution flow. --- @@ -52,23 +66,9 @@ git clone https://github.com/TensorKitchen/TensorKitchen.jl.git cd TensorKitchen.jl julia --project=. -e 'using Pkg; Pkg.instantiate()' ``` - ---- - -The next updates will include - -- Handling of swamps/plateaus in the optimization step -- Documentation -- Improved User Interface -- GPU Support -- LL1 Decomposition (3-way specialized BTD) -- Symmetric CP / Waring Decomposition -- Partially Symmetric CP -- Tensor Trains - -
+--- ## Canonical Polyadic Decomposition (CPD) Here is how to approximate a tensor `A` by a CPD of rank `r`. diff --git a/docs/make.jl b/docs/make.jl index c8e1a33..5a3c770 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -1,7 +1,7 @@ using Documenter, TensorKitchen makedocs( - sitename = "Documentation", + sitename = "TensorKitchen.jl", warnonly = true, pages = [ "Home" => "index.md", diff --git a/docs/src/index.md b/docs/src/index.md index 5404928..e0749f2 100644 --- a/docs/src/index.md +++ b/docs/src/index.md @@ -1,5 +1,6 @@ -# TensorKitchen.jl Documentation +# TensorKitchen.jl: tensor decompositions in Julia + **TensorKitchen.jl** is a Julia package for tensor decompositions. @@ -13,7 +14,7 @@ ## Notes -The package is currently at a pre-alpha stage. +The package is currently an early version and will be updated frequently in the near future. The implementation is based on combining algebraic algorithms like ALS (see, e.g., the [textbook by Kolda and Ballard](https://users.wfu.edu/ballard/pdfs/tensor_textbook.pdf)) and Riemannian optimization from [Manopt.jl](https://manoptjl.org/stable/). From 7f52e978bd6a1710a47965c3038cbfe27d972737 Mon Sep 17 00:00:00 2001 From: PBrdng Date: Mon, 11 May 2026 11:21:40 +0200 Subject: [PATCH 11/13] update installation guide in readme --- README.md | 22 ++-------------------- 1 file changed, 2 insertions(+), 20 deletions(-) diff --git a/README.md b/README.md index 7ca5511..bfa44e6 100644 --- a/README.md +++ b/README.md @@ -44,30 +44,12 @@ See [PIPELINE.md](docs/src/PIPELINE.md) for the current execution flow. ## Installation -TensorKitchen.jl requires Julia `1.10` or newer. - -Install the current development version from GitHub: - -```julia -using Pkg -Pkg.add(url = "https://github.com/TensorKitchen/TensorKitchen.jl") -``` - -Then load the package: +Install the current development version through the Julia package manager: ```julia -using TensorKitchen +add TensorKitchen ``` -For local development, clone the repository and instantiate the project: - -```bash -git clone https://github.com/TensorKitchen/TensorKitchen.jl.git -cd TensorKitchen.jl -julia --project=. -e 'using Pkg; Pkg.instantiate()' -``` -
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