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BoundsError in VI #2731

@olivierlabayle

Description

@olivierlabayle

Minimal working example

using Turing
using Distributions
using Random

rng = Random.default_rng()
X = [1., missing, 2., 3.]

@model function linear_regression(X)
    N = size(X, 1)

    μX ~ Normal(0, 1)
    # Set prior on X
    for i in 1:N
        X[i] ~ Normal(μX, 1)
    end
end

model = linear_regression(X)

chain = sample(rng, model, NUTS(), 1000) # This works

q_init = q_meanfield_gaussian(model);
n_iters = 100
q_avg, q_last, info, state = vi(model, q_init, n_iters) # This does not work

Description

Hi,

This simple example crashes with the q_meanfield_gaussian VI algorithm (but runs with MCMC). Is there anything wrong with the code?

Full stacktrace:

BoundsError: attempt to access Tuple{Bijectors.MultivariateTransformed{AdvancedVI.MvLocationScale{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}, Bijectors.Stacked{Vector{typeof(identity)}, Vector{UnitRange{Int64}}}}, Vector{@NamedTuple{elbo::Float64, iteration::Int64}}, @NamedTuple{prob::LogDensityFunction{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{DynamicPPL.LogDensityAt{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, Vector{Float64}, Tuple{}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2}}}, Tuple{}}, Vector{Float64}}, q::AdvancedVI.MvLocationScale{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}, iteration::Int64, grad_buf::DiffResults.MutableDiffResult{1, Float64, Tuple{Vector{Float64}}}, opt_st::Optimisers.Leaf{AdvancedVI.DoWG{Float64}, Tuple{Vector{Float64}, Float64, Float64}}, obj_st::AdvancedVI.RepGradELBOState{AdvancedVI.MixedADLogDensityProblem{LogDensityFunction{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{DynamicPPL.LogDensityAt{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, Vector{Float64}, Tuple{}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2}}}, Tuple{}}, Vector{Float64}}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{typeof(AdvancedVI.estimate_repgradelbo_ad_forward), AutoForwardDiff{nothing, Nothing}, Vector{Float64}, Tuple{DifferentiationInterface.Constant{@NamedTuple{rng::TaskLocalRNG, adtype::AutoForwardDiff{nothing, Nothing}, obj::AdvancedVI.RepGradELBO{AdvancedVI.ClosedFormEntropyZeroGradient}, problem::AdvancedVI.MixedADLogDensityProblem{LogDensityFunction{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{DynamicPPL.LogDensityAt{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, Vector{Float64}, Tuple{}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2}}}, Tuple{}}, Vector{Float64}}}, restructure::AdvancedVI.RestructureMeanField{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}, q_stop::AdvancedVI.MvLocationScale{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}}}}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{typeof(AdvancedVI.estimate_repgradelbo_ad_forward), Float64}, Float64, 4, Vector{ForwardDiff.Dual{ForwardDiff.Tag{typeof(AdvancedVI.estimate_repgradelbo_ad_forward), Float64}, Float64, 4}}}, Tuple{Nothing}}}, avg_st::Tuple{Vector{Float64}, Int64}}} at index [4]
Stacktrace:
  [1] indexed_iterate(t::Tuple{Bijectors.MultivariateTransformed{AdvancedVI.MvLocationScale{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}, Bijectors.Stacked{Vector{typeof(identity)}, Vector{UnitRange{Int64}}}}, Vector{@NamedTuple{elbo::Float64, iteration::Int64}}, @NamedTuple{prob::LogDensityFunction{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{DynamicPPL.LogDensityAt{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, Vector{Float64}, Tuple{}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2}}}, Tuple{}}, Vector{Float64}}, q::AdvancedVI.MvLocationScale{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}, iteration::Int64, grad_buf::DiffResults.MutableDiffResult{1, Float64, Tuple{Vector{Float64}}}, opt_st::Optimisers.Leaf{AdvancedVI.DoWG{Float64}, Tuple{Vector{Float64}, Float64, Float64}}, obj_st::AdvancedVI.RepGradELBOState{AdvancedVI.MixedADLogDensityProblem{LogDensityFunction{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{DynamicPPL.LogDensityAt{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, Vector{Float64}, Tuple{}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2}}}, Tuple{}}, Vector{Float64}}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{typeof(AdvancedVI.estimate_repgradelbo_ad_forward), AutoForwardDiff{nothing, Nothing}, Vector{Float64}, Tuple{DifferentiationInterface.Constant{@NamedTuple{rng::TaskLocalRNG, adtype::AutoForwardDiff{nothing, Nothing}, obj::AdvancedVI.RepGradELBO{AdvancedVI.ClosedFormEntropyZeroGradient}, problem::AdvancedVI.MixedADLogDensityProblem{LogDensityFunction{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}, DifferentiationInterfaceForwardDiffExt.ForwardDiffGradientPrep{Tuple{DynamicPPL.LogDensityAt{true, DynamicPPL.Model{typeof(linear_regression), (:X,), (), (), Tuple{Vector{Union{Missing, Float64}}}, Tuple{}, DynamicPPL.DefaultContext, false}, typeof(DynamicPPL.getlogjoint_internal), @NamedTuple{μX::DynamicPPL.RangeAndLinked}}, AutoForwardDiff{2, ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}}, Vector{Float64}, Tuple{}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag, Float64}, Float64, 2}}}, Tuple{}}, Vector{Float64}}}, restructure::AdvancedVI.RestructureMeanField{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}, q_stop::AdvancedVI.MvLocationScale{LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Normal{Float64}, Vector{Float64}}}}}}, ForwardDiff.GradientConfig{ForwardDiff.Tag{typeof(AdvancedVI.estimate_repgradelbo_ad_forward), Float64}, Float64, 4, Vector{ForwardDiff.Dual{ForwardDiff.Tag{typeof(AdvancedVI.estimate_repgradelbo_ad_forward), Float64}, Float64, 4}}}, Tuple{Nothing}}}, avg_st::Tuple{Vector{Float64}, Int64}}}, i::Int64, state::Int64)
    @ Base ./tuple.jl:162
  [2] top-level scope
    @ REPL[48]:1
  [3] eval(m::Module, e::Any)
    @ Core ./boot.jl:489
  [4] eval
    @ ./Base_compiler.jl:146 [inlined]
  [5] repleval(m::Module, code::Expr, ::String)
    @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.158.2/scripts/packages/VSCodeServer/src/repl.jl:231
  [6] #evalrepl##2
    @ ~/.vscode/extensions/julialang.language-julia-1.158.2/scripts/packages/VSCodeServer/src/repl.jl:194 [inlined]
  [7] with_logstate(f::VSCodeServer.var"#evalrepl##2#evalrepl##3"{Module, Expr, REPL.LineEditREPL, REPL.LineEdit.Prompt}, logstate::Base.CoreLogging.LogState)
    @ Base.CoreLogging ./logging/logging.jl:540
  [8] with_logger
    @ ./logging/logging.jl:651 [inlined]
  [9] (::VSCodeServer.var"#evalrepl##0#evalrepl##1"{Module, Expr, REPL.LineEditREPL, REPL.LineEdit.Prompt})()
    @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.158.2/scripts/packages/VSCodeServer/src/repl.jl:195
 [10] (::VSCodeServer.var"#start_eval_backend##0#start_eval_backend##1")()
    @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.158.2/scripts/packages/VSCodeServer/src/eval.jl:34

Julia version info

versioninfo()
1.12

Manifest

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[975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0 [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0 [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0 [35661453] Xorg_xkbcomp_jll v1.4.7+0 [33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0 [c5fb5394] Xorg_xtrans_jll v1.6.0+0 [3161d3a3] Zstd_jll v1.5.7+1 [35ca27e7] eudev_jll v3.2.14+0 [214eeab7] fzf_jll v0.61.1+0 [a4ae2306] libaom_jll v3.13.1+0 [0ac62f75] libass_jll v0.17.4+0 [1183f4f0] libdecor_jll v0.2.2+0 [2db6ffa8] libevdev_jll v1.13.4+0 [f638f0a6] libfdk_aac_jll v2.0.4+0 [36db933b] libinput_jll v1.28.1+0 [b53b4c65] libpng_jll v1.6.51+0 [f27f6e37] libvorbis_jll v1.3.8+0 [009596ad] mtdev_jll v1.1.7+0 [1317d2d5] oneTBB_jll v2022.0.0+1 [1270edf5] x264_jll v10164.0.1+0 [dfaa095f] x265_jll v4.1.0+0 [d8fb68d0] xkbcommon_jll v1.13.0+0 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.7.0 [7b1f6079] FileWatching v1.11.0 [9fa8497b] Future v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.12.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.12.0 [de0858da] Printf v1.11.0 [3fa0cd96] REPL v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v0.7.0 [9e88b42a] Serialization v1.11.0 [1a1011a3] SharedArrays v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.12.0 [f489334b] StyledStrings v1.11.0 [4607b0f0] SuiteSparse [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.3.0+1 [deac9b47] LibCURL_jll v8.15.0+0 [e37daf67] LibGit2_jll v1.9.0+0 [29816b5a] LibSSH2_jll v1.11.3+1 [14a3606d] MozillaCACerts_jll v2025.5.20 [4536629a] OpenBLAS_jll v0.3.29+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.4+0 [efcefdf7] PCRE2_jll v10.44.0+1 [bea87d4a] SuiteSparse_jll v7.8.3+2 [83775a58] Zlib_jll v1.3.1+2 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.64.0+1 [3f19e933] p7zip_jll v17.7.0+0 ```

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