From 98533742b871a24cf05cb33e229f1679dfec9a8b Mon Sep 17 00:00:00 2001 From: Kai Xu <5985769+xukai92@users.noreply.github.com> Date: Mon, 13 Jun 2022 15:38:07 +0100 Subject: [PATCH] feat: split KMM into KMM and uKMM (#37) (#44) * feat: split KMM into KMM and uKMM (#37) * chore: remove @nograd for removed function Co-authored-by: Kai Xu --- src/DensityRatioEstimation.jl | 2 +- src/kmm.jl | 79 +++++++++++++++++++++++----------- src/kmm/julia.jl | 17 +------- src/kmm/jump.jl | 30 ++++++++++--- src/utils/zygote.jl | 1 - test/data/uKMM-JuMPLib-1.png | Bin 0 -> 39156 bytes test/data/uKMM-JuMPLib-2.png | Bin 0 -> 44024 bytes test/data/uKMM-JuliaLib-1.png | Bin 0 -> 39328 bytes test/data/uKMM-JuliaLib-2.png | Bin 0 -> 44063 bytes test/kmm.jl | 17 +++++--- 10 files changed, 94 insertions(+), 52 deletions(-) create mode 100644 test/data/uKMM-JuMPLib-1.png create mode 100644 test/data/uKMM-JuMPLib-2.png create mode 100644 test/data/uKMM-JuliaLib-1.png create mode 100644 test/data/uKMM-JuliaLib-2.png diff --git a/src/DensityRatioEstimation.jl b/src/DensityRatioEstimation.jl index d7c6f94..741becf 100644 --- a/src/DensityRatioEstimation.jl +++ b/src/DensityRatioEstimation.jl @@ -67,7 +67,7 @@ export # estimators DensityRatioEstimator, - KMM, KLIEP, LSIF, + KMM, uKMM, KLIEP, LSIF, available_optlib, default_optlib, densratiofunc, diff --git a/src/kmm.jl b/src/kmm.jl index af0c6ba..93d880d 100644 --- a/src/kmm.jl +++ b/src/kmm.jl @@ -2,6 +2,59 @@ # Licensed under the MIT License. See LICENSE in the project root. # ------------------------------------------------------------------ +abstract type AbstractKMM <: DensityRatioEstimator end + +function _kmm_consts(x_nu, x_de, dre::AbstractKMM) + @unpack σ, λ = dre + + # Gramian matrices for numerator and denominator + Kdede = gaussian_gramian(x_de; σ=σ) + if !iszero(λ) + Kdede += safe_diagm(Kdede, λ) + end + Kdenu = gaussian_gramian(x_de, x_nu; σ=σ) + + # number of denominator and numerator samples + n_de, n_nu = size(Kdenu) + + Kdede, typeof(σ)(n_de / n_nu) * sum(Kdenu, dims=2) +end + +function _densratio(x_nu, x_de, dre::AbstractKMM, + optlib::Type{<:OptimizationLibrary}) + K, κ = _kmm_consts(x_nu, x_de, dre) + _kmm_ratios(K, κ, dre, optlib) +end + +""" + uKMM(σ=1.0, B=Inf, ϵ=0.01, λ=0.001) + +Unconstrained Kernel Mean Matching (KMM). + +## Parameters + +* `σ` - Bandwidth of Gaussian kernel (default to `2.0`) +* `λ` - Regularization parameter (default to `0.001`) + +## References + +* Huang et al. 2006. Correcting sample selection bias by + unlabeled data. + +### Author + +* Júlio Hoffimann (julio.hoffimann@gmail.com) +* Kai Xu (xukai921110@gmail.com) +""" +@with_kw struct uKMM{T} <: AbstractKMM + σ::T=2.0 + λ::T=0.001 +end + +default_optlib(dre::Type{<:uKMM}) = JuliaLib + +available_optlib(dre::Type{<:uKMM}) = [JuliaLib, JuMPLib] + """ KMM(σ=1.0, B=Inf, ϵ=0.01, λ=0.001) @@ -24,7 +77,7 @@ Kernel Mean Matching (KMM). * Júlio Hoffimann (julio.hoffimann@gmail.com) * Kai Xu (xukai921110@gmail.com) """ -@with_kw struct KMM{T} <: DensityRatioEstimator +@with_kw struct KMM{T} <: AbstractKMM σ::T=2.0 B::T=Inf ϵ::T=0.01 @@ -33,26 +86,4 @@ end default_optlib(dre::Type{<:KMM}) = JuMPLib -available_optlib(dre::Type{<:KMM}) = [JuliaLib, JuMPLib] - -function _kmm_consts(x_nu, x_de, dre::KMM{T}) where {T<:AbstractFloat} - @unpack σ, λ = dre - - # Gramian matrices for numerator and denominator - Kdede = gaussian_gramian(x_de; σ=σ) - if !iszero(λ) - Kdede += safe_diagm(Kdede, λ) - end - Kdenu = gaussian_gramian(x_de, x_nu; σ=σ) - - # number of denominator and numerator samples - n_de, n_nu = size(Kdenu) - - Kdede, T(n_de / n_nu) * sum(Kdenu, dims=2) -end - -function _densratio(x_nu, x_de, dre::KMM, - optlib::Type{<:OptimizationLibrary}) - K, κ = _kmm_consts(x_nu, x_de, dre) - _kmm_ratios(K, κ, dre, optlib) -end +available_optlib(dre::Type{<:KMM}) = [JuMPLib] diff --git a/src/kmm/julia.jl b/src/kmm/julia.jl index b284b34..1dd3d37 100644 --- a/src/kmm/julia.jl +++ b/src/kmm/julia.jl @@ -2,20 +2,7 @@ # Licensed under the MIT License. See LICENSE in the project root. # ------------------------------------------------------------------ -# NOTE: this function is a hack for Zygote.jl compatbility; see lib/zygote.jl -function warn_kmm_julialib(B, ϵ) - # warn user that closed-form solution does - # not consider probability simplex constraints - isinf(B) || @warn "B parameter ignored when optlib=JuliaLib" - iszero(ϵ) || @warn "ϵ parameter ignored when optlib=JuliaLib" -end - -function _kmm_ratios(K, κ, dre::KMM, optlib::Type{JuliaLib}) - # retrieve parameters - @unpack B, ϵ = dre - - warn_kmm_julialib(B, ϵ) # warn ignored parameters - - # density ratio via solve +function _kmm_ratios(K, κ, dre::uKMM, optlib::Type{JuliaLib}) + # density ratio via solver K \ vec(κ) end diff --git a/src/kmm/jump.jl b/src/kmm/jump.jl index 4c9ee58..befd588 100644 --- a/src/kmm/jump.jl +++ b/src/kmm/jump.jl @@ -5,10 +5,7 @@ using .JuMP using .Ipopt -function _kmm_ratios(K, κ, dre::KMM, optlib::Type{JuMPLib}) - # retrieve parameters - @unpack B, ϵ = dre - +function _kmm_jump_model(K, κ, dre::AbstractKMM, optlib::Type{JuMPLib}) # number of denominator samples m = length(κ) @@ -16,9 +13,32 @@ function _kmm_ratios(K, κ, dre::KMM, optlib::Type{JuMPLib}) model = Model(optimizer_with_attributes(Ipopt.Optimizer, "print_level" => 0, "sb" => "yes")) @variable(model, β[1:m]) @objective(model, Min, (1/2) * dot(β, K*β - 2κ)) + + return model, β +end + +function _kmm_ratios(K, κ, dre::uKMM, optlib::Type{JuMPLib}) + # build the problem without constraints + model, β = _kmm_jump_model(K, κ, dre, optlib) + + # solve the problem + optimize!(model) + + # density ratio + value.(β) +end + +function _kmm_ratios(K, κ, dre::KMM, optlib::Type{JuMPLib}) + # retrieve parameters + @unpack B, ϵ = dre + + # build the problem without constraints + model, β = _kmm_jump_model(K, κ, dre, optlib) + + # adding constriants @constraint(model, 0 .≤ β) isinf(B) || @constraint(model, β .≤ B) - @constraint(model, (1-ϵ)m ≤ sum(β) ≤ (1+ϵ)m) + @constraint(model, (1-ϵ) ≤ mean(β) ≤ (1+ϵ)) # solve the problem optimize!(model) diff --git a/src/utils/zygote.jl b/src/utils/zygote.jl index 2a8aa0d..07fce47 100644 --- a/src/utils/zygote.jl +++ b/src/utils/zygote.jl @@ -4,5 +4,4 @@ import .Zygote -Zygote.@nograd warn_kmm_julialib Zygote.@nograd safe_diagm diff --git a/test/data/uKMM-JuMPLib-1.png b/test/data/uKMM-JuMPLib-1.png new file mode 100644 index 0000000000000000000000000000000000000000..2ff3ba67fde1613c8073599913d6c69c5655d946 GIT binary patch literal 39156 zcmd43cRbeb7e8*3)vYKA8Ih5dnUQtdWK$%otgOsPGQurUGP1Mx$d(;RS=oDJW{ZrF z{LV|gKi}`~@83Va9*_6KyY9>DI^%hs=bY<0uRB=drUDr;4KWrL7MYSFS_=yc_Y(Za zK!gMT(z&eo9Dd+gN~=j@VHLk5`E801f5&##Qjoza?4n(Qzc839YN=sid9q?*`8>nI zI)H!jS;WF}<;B8UHo?LYjlse?@0d`nDGp1ql+e;TkFZxioH9vp^%efJvEkv(f1Q;- zmOnN@ja8|yCh~6Cuz{5{2NO|+pU-ogwl+q372_Xw)V*|{;bWh79GG{yK7ivCl_uqD zwiL^17eW7iqhl_?!@~Rc=;g*e?Fj1#x7Q25yl-f+<1@h@Wz?yYAGH4;e*|l%=j7yM zWnGb!yyTLq6Pan9{E(TJe5IP4M!0GEUEvD+^-M5^t@~GUs(>0UOV~&Dt$uBFyRnM3 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