From 093bcf4745c0bf9df72b98c865b71db44ef9d945 Mon Sep 17 00:00:00 2001 From: semihakbayrak Date: Wed, 3 Jun 2020 03:09:19 +0300 Subject: [PATCH 01/41] Enabling sampleList initialization as dist. Forward rule for nonlinear node with sampleList message --- src/ForneyLab.jl | 1 + src/engines/julia/julia.jl | 3 ++- .../julia/update_rules/nonlinear_sampling.jl | 25 ++++++++++++++++--- src/engines/julia/update_rules/sample_list.jl | 10 ++++++++ src/update_rules/nonlinear_sampling.jl | 5 ++++ src/update_rules/sample_list.jl | 4 +++ 6 files changed, 43 insertions(+), 5 deletions(-) create mode 100644 src/engines/julia/update_rules/sample_list.jl create mode 100644 src/update_rules/sample_list.jl diff --git a/src/ForneyLab.jl b/src/ForneyLab.jl index de18f0ab..0985b3ef 100644 --- a/src/ForneyLab.jl +++ b/src/ForneyLab.jl @@ -118,6 +118,7 @@ include("update_rules/dot_product.jl") include("update_rules/poisson.jl") include("update_rules/nonlinear_unscented.jl") include("update_rules/nonlinear_sampling.jl") +include("update_rules/sample_list.jl") *(x::ProbabilityDistribution, y::ProbabilityDistribution) = prod!(x, y) # * operator for probability distributions diff --git a/src/engines/julia/julia.jl b/src/engines/julia/julia.jl index fd95dcb4..cc8b7765 100644 --- a/src/engines/julia/julia.jl +++ b/src/engines/julia/julia.jl @@ -24,4 +24,5 @@ include("update_rules/softmax.jl") include("update_rules/nonlinear_unscented.jl") include("update_rules/nonlinear_sampling.jl") include("update_rules/dot_product.jl") -include("update_rules/poisson.jl") \ No newline at end of file +include("update_rules/poisson.jl") +include("update_rules/sample_list.jl") diff --git a/src/engines/julia/update_rules/nonlinear_sampling.jl b/src/engines/julia/update_rules/nonlinear_sampling.jl index 7f050a96..523bd8fa 100644 --- a/src/engines/julia/update_rules/nonlinear_sampling.jl +++ b/src/engines/julia/update_rules/nonlinear_sampling.jl @@ -1,6 +1,7 @@ export ruleSPNonlinearSOutNM, ruleSPNonlinearSIn1MN, +#ruleSPNonlinearSOutNS, ruleSPNonlinearSOutNGX, ruleSPNonlinearSInGX, ruleMNonlinearSInGX, @@ -32,6 +33,22 @@ function ruleSPNonlinearSIn1MN(g::Function, return Message(V, Function, log_pdf = (z)->logPdf(msg_out.dist, g(z))) end +function ruleSPNonlinearSOutNM(g::Function, + msg_out::Nothing, + msg_in1::Message{SampleList, V}; + n_samples=default_n_samples) where {V<:VariateType} + + samples = g.(msg_in1.dist.params[:s]) + weights = msg_in1.dist.params[:w] + + v_type = Univariate + if length(samples[1])>1 + v_type = Multivariate + end + + return Message(v_type, SampleList, s=samples, w=weights) +end + function ruleSPNonlinearSOutNGX(g::Function, msg_out::Nothing, msgs_in::Vararg{Message{<:Gaussian, V}}; @@ -50,7 +67,7 @@ function ruleSPNonlinearSInGX(g::Function, msg_out::Message{<:Gaussian, V}, msgs_in::Vararg{Message{<:Gaussian, V}}; n_samples=default_n_samples) where V<:VariateType - + # Extract joint statistics of inbound messages (ms_fw_in, Vs_fw_in) = collectStatistics(msgs_in...) # Return arrays with individual means and covariances (m_fw_in, V_fw_in, ds) = concatenateGaussianMV(ms_fw_in, Vs_fw_in) # Concatenate individual statistics into joint statistics @@ -79,7 +96,7 @@ end function ruleMNonlinearSInGX(g::Function, msg_out::Message{<:Gaussian, V}, msgs_in::Vararg{Message{<:Gaussian, V}}) where V<:VariateType - + # Extract joint statistics of inbound messages (ms_fw_in, Vs_fw_in) = collectStatistics(msgs_in...) # Return arrays with individual means and covariances (m_fw_in, V_fw_in, ds) = concatenateGaussianMV(ms_fw_in, Vs_fw_in) # Concatenate individual statistics into joint statistics @@ -119,7 +136,7 @@ end log_joint(s) = logPdf(y,s) + logPdf(x,s) d_log_joint(s) = ForwardDiff.derivative(log_joint, s) m_initial = unsafeMean(y) - + mean = gradientOptimization(log_joint, d_log_joint, m_initial, 0.01) prec = -ForwardDiff.derivative(d_log_joint, mean) @@ -290,4 +307,4 @@ function logJointPdfs(V::Type{Univariate}, m_fw_in::Vector, W_fw_in::AbstractMat d_log_joint(x) = ForwardDiff.gradient(log_joint, x) return (log_joint, d_log_joint) -end \ No newline at end of file +end diff --git a/src/engines/julia/update_rules/sample_list.jl b/src/engines/julia/update_rules/sample_list.jl new file mode 100644 index 00000000..a3211b34 --- /dev/null +++ b/src/engines/julia/update_rules/sample_list.jl @@ -0,0 +1,10 @@ +export +ruleSPSampleListOutNPP + +function ruleSPSampleListOutNPP(msg_out::Nothing,msg_s::Message{PointMass,V},msg_w::Message{PointMass, V}) where {V<:VariateType} + var_type = Univariate + if length(msg_s.dist.params[:m][1]) > 1 + var_type = Multivariate + end + Message(var_type, SampleList, s=deepcopy(msg_s.dist.params[:m]), w=deepcopy(msg_w.dist.params[:m])) +end diff --git a/src/update_rules/nonlinear_sampling.jl b/src/update_rules/nonlinear_sampling.jl index ed10d815..e3001fd9 100644 --- a/src/update_rules/nonlinear_sampling.jl +++ b/src/update_rules/nonlinear_sampling.jl @@ -8,6 +8,11 @@ :inbound_types => (Message, Nothing), :name => SPNonlinearSIn1MN) +# @sumProductRule(:node_type => Nonlinear{Sampling}, +# :outbound_type => Message{SampleList}, +# :inbound_types => (Nothing, Message{SampleList}), +# :name => SPNonlinearSOutNS) + mutable struct SPNonlinearSOutNGX <: SumProductRule{Nonlinear{Sampling}} end outboundType(::Type{SPNonlinearSOutNGX}) = Message{SampleList} function isApplicable(::Type{SPNonlinearSOutNGX}, input_types::Vector{<:Type}) diff --git a/src/update_rules/sample_list.jl b/src/update_rules/sample_list.jl new file mode 100644 index 00000000..beeba653 --- /dev/null +++ b/src/update_rules/sample_list.jl @@ -0,0 +1,4 @@ +@sumProductRule(:node_type => SampleList, + :outbound_type => Message{SampleList}, + :inbound_types => (Nothing, Message{PointMass}, Message{PointMass}), + :name => SPSampleListOutNPP) From 79bc2c9d99d728f5b17d69b1d08965978c60ab9a Mon Sep 17 00:00:00 2001 From: semihakbayrak Date: Thu, 4 Jun 2020 13:02:51 +0300 Subject: [PATCH 02/41] Add message rule to GaussianMV with incoming sampleList message to mean interface --- .../update_rules/gaussian_mean_variance.jl | 29 +++++++++++++++---- src/factor_nodes/sample_list.jl | 6 ++-- src/update_rules/gaussian_mean_variance.jl | 7 ++++- 3 files changed, 33 insertions(+), 9 deletions(-) diff --git a/src/engines/julia/update_rules/gaussian_mean_variance.jl b/src/engines/julia/update_rules/gaussian_mean_variance.jl index 02e9cf2c..4e9c6955 100644 --- a/src/engines/julia/update_rules/gaussian_mean_variance.jl +++ b/src/engines/julia/update_rules/gaussian_mean_variance.jl @@ -1,10 +1,11 @@ export ruleSPGaussianMeanVarianceOutNPP, ruleSPGaussianMeanVarianceMPNP, -ruleSPGaussianMeanVarianceOutNGP, -ruleSPGaussianMeanVarianceMGNP, -ruleSPGaussianMeanVarianceVGGN, +ruleSPGaussianMeanVarianceOutNGP, +ruleSPGaussianMeanVarianceMGNP, +ruleSPGaussianMeanVarianceVGGN, ruleSPGaussianMeanVarianceVPGN, +ruleSPGaussianMeanVarianceOutNSP, ruleVBGaussianMeanVarianceM, ruleVBGaussianMeanVarianceOut @@ -25,7 +26,7 @@ function ruleSPGaussianMeanVarianceOutNGP( msg_out::Nothing, Message(V, GaussianMeanVariance, m=d_mean.params[:m], v=d_mean.params[:v] + msg_var.dist.params[:m]) end -ruleSPGaussianMeanVarianceMGNP(msg_out::Message{F}, msg_mean::Nothing, msg_var::Message{PointMass}) where F<:Gaussian = +ruleSPGaussianMeanVarianceMGNP(msg_out::Message{F}, msg_mean::Nothing, msg_var::Message{PointMass}) where F<:Gaussian = ruleSPGaussianMeanVarianceOutNGP(msg_mean, msg_out, msg_var) function ruleSPGaussianMeanVarianceVGGN(msg_out::Message{F1, Univariate}, @@ -47,6 +48,24 @@ function ruleSPGaussianMeanVarianceVPGN(msg_out::Message{PointMass, Univariate}, Message(Univariate, Function, log_pdf=(x)-> -0.5*log(d_mean.params[:v] + x) - 1/(2*x)*(msg_out.dist.params[:m] - d_mean.params[:m])^2) end +#Bootstrap particle filter rule +function ruleSPGaussianMeanVarianceOutNSP( msg_out::Nothing, + msg_mean::Message{SampleList, V}, + msg_var::Message{PointMass}) where {V<:VariateType} + + samples = msg_mean.dist.params[:s] + weights = msg_mean.dist.params[:w] + n_samples = length(samples) + new_samples = [] + for i=1:n_samples + p = ProbabilityDistribution(V,GaussianMeanVariance,m=samples[i],v=msg_var.dist.params[:m]) + s = sample(p) + push!(new_samples,s) + end + + Message(V, SampleList, s=new_samples, w=weights) +end + ruleVBGaussianMeanVarianceM(dist_out::ProbabilityDistribution{V}, dist_mean::Any, dist_var::ProbabilityDistribution) where V<:VariateType = @@ -55,4 +74,4 @@ ruleVBGaussianMeanVarianceM(dist_out::ProbabilityDistribution{V}, ruleVBGaussianMeanVarianceOut( dist_out::Any, dist_mean::ProbabilityDistribution{V}, dist_var::ProbabilityDistribution) where V<:VariateType = - Message(V, GaussianMeanVariance, m=unsafeMean(dist_mean), v=unsafeMean(dist_var)) \ No newline at end of file + Message(V, GaussianMeanVariance, m=unsafeMean(dist_mean), v=unsafeMean(dist_var)) diff --git a/src/factor_nodes/sample_list.jl b/src/factor_nodes/sample_list.jl index 346e74ea..a86c9244 100644 --- a/src/factor_nodes/sample_list.jl +++ b/src/factor_nodes/sample_list.jl @@ -40,7 +40,7 @@ function vague(::Type{SampleList}, dims::Int64) for n=1:n_samples s_list[n] = rand(dims) end - + return ProbabilityDistribution(Multivariate, SampleList, s=s_list, w=ones(n_samples)/n_samples) end @@ -129,7 +129,7 @@ end y::ProbabilityDistribution{Multivariate, SampleList}) where F<:Gaussian z = ProbabilityDistribution(Multivariate, SampleList, s=[[0.0]], w=[1.0]) - + return prod!(x, y, z) # Return a SampleList end @@ -187,6 +187,6 @@ end # Differential entropy for SampleList function differentialEntropy(dist::ProbabilityDistribution{V, SampleList}) where V<:VariateType haskey(dist.params, :entropy) || error("Missing entropy for SampleList; quantity is requested but not computed") - + return dist.params[:entropy] # Entropy is pre-computed during computation of the marginal end diff --git a/src/update_rules/gaussian_mean_variance.jl b/src/update_rules/gaussian_mean_variance.jl index 0ccbf3db..bf1d297f 100644 --- a/src/update_rules/gaussian_mean_variance.jl +++ b/src/update_rules/gaussian_mean_variance.jl @@ -28,6 +28,11 @@ :inbound_types => (Message{PointMass}, Message{Gaussian}, Nothing), :name => SPGaussianMeanVarianceVPGN) +@sumProductRule(:node_type => GaussianMeanVariance, + :outbound_type => Message{SampleList}, + :inbound_types => (Nothing, Message{SampleList}, Message{PointMass}), + :name => SPGaussianMeanVarianceOutNSP) + @naiveVariationalRule(:node_type => GaussianMeanVariance, :outbound_type => Message{GaussianMeanVariance}, :inbound_types => (ProbabilityDistribution, Nothing, ProbabilityDistribution), @@ -36,4 +41,4 @@ @naiveVariationalRule(:node_type => GaussianMeanVariance, :outbound_type => Message{GaussianMeanVariance}, :inbound_types => (Nothing, ProbabilityDistribution, ProbabilityDistribution), - :name => VBGaussianMeanVarianceOut) \ No newline at end of file + :name => VBGaussianMeanVarianceOut) From b3a384404f874cd0edd98358290e33cae4a1304d Mon Sep 17 00:00:00 2001 From: "I. Senoz" Date: Tue, 9 Jun 2020 17:26:59 +0200 Subject: [PATCH 03/41] include MatrixVariate samplelist and include one rule where the variance message is sampleList --- .../update_rules/gaussian_mean_variance.jl | 17 ++++++++++ src/factor_nodes/sample_list.jl | 33 +++++++++++++++++++ src/update_rules/gaussian_mean_variance.jl | 5 +++ 3 files changed, 55 insertions(+) diff --git a/src/engines/julia/update_rules/gaussian_mean_variance.jl b/src/engines/julia/update_rules/gaussian_mean_variance.jl index 4e9c6955..ea0a5fe4 100644 --- a/src/engines/julia/update_rules/gaussian_mean_variance.jl +++ b/src/engines/julia/update_rules/gaussian_mean_variance.jl @@ -66,6 +66,23 @@ function ruleSPGaussianMeanVarianceOutNSP( msg_out::Nothing, Message(V, SampleList, s=new_samples, w=weights) end +function ruleSPGaussianMeanVarianceOutNDS( msg_out::Nothing, + msg_mean::Message{Union{Gaussian,PointMass}, V1}, + msg_var::Message{SampleList, V2}) where {V1<:VariateType, V2<:VariateType} + + samples = msg_var.dist.params[:s] + weights = msg_var.dist.params[:w] + n_samples = length(samples) + new_samples = [] + for i=1:n_samples + p = ProbabilityDistribution(V1,GaussianMeanVariance,m=msg_mean.dist.params[:m],v=msg_mean.dist.params[:v] + samples[i]) + s = sample(p) + push!(new_samples,s) + end + + Message(V1, SampleList, s=new_samples, w=weights) +end + ruleVBGaussianMeanVarianceM(dist_out::ProbabilityDistribution{V}, dist_mean::Any, dist_var::ProbabilityDistribution) where V<:VariateType = diff --git a/src/factor_nodes/sample_list.jl b/src/factor_nodes/sample_list.jl index a86c9244..b8e3b5c3 100644 --- a/src/factor_nodes/sample_list.jl +++ b/src/factor_nodes/sample_list.jl @@ -23,9 +23,11 @@ format(dist::ProbabilityDistribution{V, SampleList}) where V<:VariateType = "$(s ProbabilityDistribution(::Type{Univariate}, ::Type{SampleList}; s=[0.0], w=[1.0]) = ProbabilityDistribution{Univariate, SampleList}(Dict{Symbol, Any}(:s=>s, :w=>w)) ProbabilityDistribution(::Type{Multivariate}, ::Type{SampleList}; s=[[0.0]], w=[1.0]) = ProbabilityDistribution{Multivariate, SampleList}(Dict{Symbol, Any}(:s=>s, :w=>w)) +ProbabilityDistribution(::Type{MatrixVariate}, ::Type{SampleList};s=[[1.0 0.0; 0.0 1.0]], w=[1.0]) = ProbabilityDistribution{MatrixVariate, SampleList}(Dict{Symbol,Any}(:s=>s,:w=>w)) dims(dist::ProbabilityDistribution{Univariate, SampleList}) = 1 dims(dist::ProbabilityDistribution{Multivariate, SampleList}) = length(dist.params[:s][1]) +dims(dist::ProbabilityDistribution{MatrixVariate, SampleList}) = size(dist.params[:s][1]) function vague(::Type{SampleList}) n_samples = default_n_samples # Fixed number of samples @@ -44,6 +46,17 @@ function vague(::Type{SampleList}, dims::Int64) return ProbabilityDistribution(Multivariate, SampleList, s=s_list, w=ones(n_samples)/n_samples) end +function vague(::Type{SampleList}, dims::Tuple{Int64,Int64}) + n_samples = default_n_samples # Fixed number of samples + + s_list = Vector{Matrix{Number}}(undef, n_samples) + for n=1:n_samples + s_list[n] = randn(dims) + end + + return ProbabilityDistribution(Multivariate, SampleList, s=s_list, w=ones(n_samples)/n_samples) +end + unsafeMean(dist::ProbabilityDistribution{V, SampleList}) where V<:VariateType = sum(dist.params[:s].*dist.params[:w]) unsafeLogMean(dist::ProbabilityDistribution{Univariate, SampleList}) = sum(log.(dist.params[:s]).*dist.params[:w]) @@ -73,6 +86,26 @@ function unsafeCov(dist::ProbabilityDistribution{Multivariate, SampleList}) return (n_samples/(n_samples - 1)).*tot end +unsafeVar(dist::ProbabilityDistribution{MatrixVariate, SampleList}) = diag(unsafeCov(dist)[1]) +function unsafeCov(dist::ProbabilityDistribution{MatrixVariate, SampleList}) + samples = dist.params[:s] + weights = dist.params[:w] + + n_samples = length(samples) + m = unsafeMean(dist) + cov1 = zeros(dims(dist)[1],dims(dist)[1]) + cov2 = zeros(dims(dist)[2],dims(dist)[2]) + + tot = zeros(dims(dist)[1]*dims(dist)[2], dims(dist)[1]*dims(dist)[2]) + for i = 1:n_samples + cov1 += ((samples[i] .- m))*transpose((samples[i] .- m)).*weights[i] + cov2 += transpose((samples[i] .- m))*((samples[i] .- m)).*weights[i] + end + cov1 = (n_samples/(n_samples - 1)).*cov1 + cov2 = (n_samples/(n_samples - 1)).*cov2 + return kron(cov1,cov2) +end + unsafeMeanCov(dist::ProbabilityDistribution{V, SampleList}) where V<:VariateType = (unsafeMean(dist), unsafeCov(dist)) function unsafeMirroredLogMean(dist::ProbabilityDistribution{Univariate, SampleList}) diff --git a/src/update_rules/gaussian_mean_variance.jl b/src/update_rules/gaussian_mean_variance.jl index bf1d297f..81831c29 100644 --- a/src/update_rules/gaussian_mean_variance.jl +++ b/src/update_rules/gaussian_mean_variance.jl @@ -33,6 +33,11 @@ :inbound_types => (Nothing, Message{SampleList}, Message{PointMass}), :name => SPGaussianMeanVarianceOutNSP) +@sumProductRule(:node_type => GaussianMeanVariance, + :outbound_type => Message{SampleList}, + :inbound_types => (Nothing, Message{Union{Gaussian,PointMass}},Message{SampleList}), + :name => SPGaussianMeanVarianceOutNDS) + @naiveVariationalRule(:node_type => GaussianMeanVariance, :outbound_type => Message{GaussianMeanVariance}, :inbound_types => (ProbabilityDistribution, Nothing, ProbabilityDistribution), From 1dacae9b26fdd8ab40784d5b845f6360ad135bf4 Mon Sep 17 00:00:00 2001 From: "I. Senoz" Date: Tue, 9 Jun 2020 17:55:54 +0200 Subject: [PATCH 04/41] fix types of messages --- src/engines/julia/update_rules/gaussian_mean_variance.jl | 4 ++-- src/update_rules/gaussian_mean_variance.jl | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/src/engines/julia/update_rules/gaussian_mean_variance.jl b/src/engines/julia/update_rules/gaussian_mean_variance.jl index ea0a5fe4..5ec51f5f 100644 --- a/src/engines/julia/update_rules/gaussian_mean_variance.jl +++ b/src/engines/julia/update_rules/gaussian_mean_variance.jl @@ -67,8 +67,8 @@ function ruleSPGaussianMeanVarianceOutNSP( msg_out::Nothing, end function ruleSPGaussianMeanVarianceOutNDS( msg_out::Nothing, - msg_mean::Message{Union{Gaussian,PointMass}, V1}, - msg_var::Message{SampleList, V2}) where {V1<:VariateType, V2<:VariateType} + msg_mean::Message{F, V1}, + msg_var::Message{SampleList, V2}) where {F<:Gaussian, V1<:VariateType, V2<:VariateType} samples = msg_var.dist.params[:s] weights = msg_var.dist.params[:w] diff --git a/src/update_rules/gaussian_mean_variance.jl b/src/update_rules/gaussian_mean_variance.jl index 81831c29..dd20289e 100644 --- a/src/update_rules/gaussian_mean_variance.jl +++ b/src/update_rules/gaussian_mean_variance.jl @@ -35,7 +35,7 @@ @sumProductRule(:node_type => GaussianMeanVariance, :outbound_type => Message{SampleList}, - :inbound_types => (Nothing, Message{Union{Gaussian,PointMass}},Message{SampleList}), + :inbound_types => (Nothing, Message{Gaussian},Message{SampleList}), :name => SPGaussianMeanVarianceOutNDS) @naiveVariationalRule(:node_type => GaussianMeanVariance, From f3ff01aa67378f1f1304c28d09df44d36d0fc4df Mon Sep 17 00:00:00 2001 From: "I. Senoz" Date: Tue, 9 Jun 2020 17:58:51 +0200 Subject: [PATCH 05/41] delete extra line of code --- src/factor_nodes/sample_list.jl | 1 - 1 file changed, 1 deletion(-) diff --git a/src/factor_nodes/sample_list.jl b/src/factor_nodes/sample_list.jl index b8e3b5c3..91451b36 100644 --- a/src/factor_nodes/sample_list.jl +++ b/src/factor_nodes/sample_list.jl @@ -96,7 +96,6 @@ function unsafeCov(dist::ProbabilityDistribution{MatrixVariate, SampleList}) cov1 = zeros(dims(dist)[1],dims(dist)[1]) cov2 = zeros(dims(dist)[2],dims(dist)[2]) - tot = zeros(dims(dist)[1]*dims(dist)[2], dims(dist)[1]*dims(dist)[2]) for i = 1:n_samples cov1 += ((samples[i] .- m))*transpose((samples[i] .- m)).*weights[i] cov2 += transpose((samples[i] .- m))*((samples[i] .- m)).*weights[i] From 684dd6a6bfeb5c97014fd03cbc94122b311acd7b Mon Sep 17 00:00:00 2001 From: semihakbayrak Date: Tue, 9 Jun 2020 19:13:26 +0300 Subject: [PATCH 06/41] Not sth important --- src/update_rules/nonlinear_sampling.jl | 5 ----- 1 file changed, 5 deletions(-) diff --git a/src/update_rules/nonlinear_sampling.jl b/src/update_rules/nonlinear_sampling.jl index e3001fd9..ed10d815 100644 --- a/src/update_rules/nonlinear_sampling.jl +++ b/src/update_rules/nonlinear_sampling.jl @@ -8,11 +8,6 @@ :inbound_types => (Message, Nothing), :name => SPNonlinearSIn1MN) -# @sumProductRule(:node_type => Nonlinear{Sampling}, -# :outbound_type => Message{SampleList}, -# :inbound_types => (Nothing, Message{SampleList}), -# :name => SPNonlinearSOutNS) - mutable struct SPNonlinearSOutNGX <: SumProductRule{Nonlinear{Sampling}} end outboundType(::Type{SPNonlinearSOutNGX}) = Message{SampleList} function isApplicable(::Type{SPNonlinearSOutNGX}, input_types::Vector{<:Type}) From 6e39ff77cda2c751e37bae6b9c3fe0b849d130b5 Mon Sep 17 00:00:00 2001 From: semihakbayrak Date: Thu, 11 Jun 2020 11:01:49 +0300 Subject: [PATCH 07/41] Add aircraft tracking demo for particle filtering --- demo/Bootstrap Particle Filter.ipynb | 839 +++++++++++++++++++++++++++ demo/figures/particle_filter.gif | Bin 0 -> 1760351 bytes 2 files changed, 839 insertions(+) create mode 100644 demo/Bootstrap Particle Filter.ipynb create mode 100644 demo/figures/particle_filter.gif diff --git a/demo/Bootstrap Particle Filter.ipynb b/demo/Bootstrap Particle Filter.ipynb new file mode 100644 index 00000000..3b4e3192 --- /dev/null +++ b/demo/Bootstrap Particle Filter.ipynb @@ -0,0 +1,839 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Recompiling stale cache file /Users/semihakbayrak/.julia/compiled/v1.2/ForneyLab/Eacon.ji for ForneyLab [9fc3f58a-c2cc-5bff-9419-6a294fefdca9]\n", + "└ @ Base loading.jl:1240\n", + "┌ Info: Recompiling stale cache file /Users/semihakbayrak/.julia/compiled/v1.2/Plots/ld3vC.ji for Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n", + "└ @ Base loading.jl:1240\n" + ] + } + ], + "source": [ + "using ForneyLab, LinearAlgebra, Plots" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This demo is prepared by being inspired by https://www.youtube.com/watch?v=aUkBa1zMKv4. An aircraft is flying at 50 unit above the sea level. We know the map of the terrain that aircraft is flying over. But we do not know the exact horizontal location of the aircraft. The aircraft is moving with 0.1 unit/h horizontally and has a sensor that can measure its altitude from the ground. Measurements are noisy and there is an uncertainty in movement due to irregularity in the wind." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "terrain (generic function with 1 method)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "function terrain(x)\n", + " 0.1*((x-18)^2)*cos(0.25*x) + 2\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "0\n", + "\n", + "\n", + "10\n", + "\n", + "\n", + "20\n", + "\n", + "\n", + "30\n", + "\n", + "\n", + "0\n", + "\n", + "\n", + "10\n", + "\n", + "\n", + "20\n", + "\n", + "\n", + "30\n", + "\n", + "\n", + "\n" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "horizontal = collect(0:0.01:30)\n", + "verticle = terrain.(horizontal)\n", + "plot(horizontal,verticle,label=false)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "measure_altitude(x) = 50 - terrain(x);" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "x_real = [3.0]\n", + "y_real = [terrain(x_real[end]) + randn()]\n", + "for i=1:249\n", + " #x = 1 + x_real[end] + 0.1*randn()\n", + " x = 0.1 + x_real[end] + 0.1*randn()\n", + " push!(x_real,x)\n", + " y = measure_altitude(x_real[end]) + 0.1*randn()\n", + " push!(y_real,y)\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Model\n", + "g = FactorGraph()\n", + "\n", + "@RV samples \n", + "@RV weights \n", + "@RV x_t_min ~ SampleList(samples, weights)\n", + "\n", + "f(x) = x+0.1\n", + "\n", + "@RV m_x_t ~ Nonlinear{Sampling}(x_t_min, g=f)\n", + "@RV x_t ~ GaussianMeanVariance(m_x_t,0.01)\n", + "@RV h_t ~ Nonlinear{Sampling}(x_t, g=measure_altitude)\n", + "@RV y_t ~ GaussianMeanVariance(h_t,1)\n", + "\n", + "# Placeholders for prior\n", + "placeholder(samples, :samples, dims=(200,))\n", + "placeholder(weights, :weights, dims=(200,))\n", + "\n", + "# Placeholder for data\n", + "placeholder(y_t, :y_t);" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "G\n", + "\n", + "\n", + "\n", + "11909918726792819031\n", + "\n", + "𝒩\n", + "gaussianmeanvariance_1\n", + "\n", + "\n", + "\n", + "4537244703605253960\n", + "\n", + "clamp_1\n", + "\n", + "\n", + "\n", + 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"SampleList\n", + "samplelist_1\n", + "\n", + "\n", + "\n", + "3907936416395801797--4085424487705445182\n", + "\n", + "weights\n", + "3 w \n", + "1 out \n", + "\n", + "\n", + "\n", + "12940600061866890936--4085424487705445182\n", + "\n", + "x_t_min\n", + "1 out \n", + "2 in1 \n", + "\n", + "\n", + "\n", + "7936434124738614153--11909918726792819031\n", + "\n", + "x_t\n", + "1 out \n", + "2 in1 \n", + "\n", + "\n", + "\n", + "6091670630980961458\n", + "\n", + "placeholder_samples\n", + "\n", + "\n", + "\n", + "6091670630980961458--4085424487705445182\n", + "\n", + "samples\n", + "2 s \n", + "1 out \n", + "\n", + "\n", + "\n", + "8772660390232813360\n", + "\n", + "placeholder_y_t\n", + "\n", + "\n", + "\n", + "8772660390232813360--7748183981118886098\n", + "\n", + "y_t\n", + "1 out \n", + "1 out \n", + "\n", + "\n", + "\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ForneyLab.draw(g)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "begin\n", + "\n", + "function init()\n", + "\n", + "messages = Array{Message}(undef, 5)\n", + "\n", + "messages[3] = Message(vague(SampleList))\n", + "\n", + "return messages\n", + "\n", + "end\n", + "\n", + "function step!(data::Dict, marginals::Dict=Dict(), messages::Vector{Message}=Array{Message}(undef, 5))\n", + "\n", + "messages[1] = ruleSPSampleListOutNPP(nothing, Message(Multivariate, PointMass, m=data[:samples]), Message(Multivariate, PointMass, m=data[:weights]))\n", + "messages[2] = ruleSPNonlinearSOutNM(f, nothing, messages[1])\n", + "messages[3] = ruleSPGaussianMeanVarianceOutNSP(nothing, messages[2], Message(Univariate, PointMass, m=0.01))\n", + "messages[4] = ruleSPGaussianMeanVarianceMPNP(Message(Univariate, PointMass, m=data[:y_t]), nothing, Message(Univariate, PointMass, m=1))\n", + "messages[5] = ruleSPNonlinearSIn1MN(measure_altitude, messages[4], nothing)\n", + "\n", + "marginals[:x_t] = messages[3].dist * messages[5].dist\n", + "\n", + "return marginals\n", + "\n", + "end\n", + "\n", + "end # block\n" + ] + } + ], + "source": [ + "algo = sumProductAlgorithm(x_t) \n", + "source_code = algorithmSourceCode(algo)\n", + "println(source_code)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# Define algorithm\n", + "eval(Meta.parse(source_code));" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Saved animation to \n", + "│ fn = /Users/semihakbayrak/.julia/dev/ForneyLab/demo/figures/particle_filter.gif\n", + "└ @ Plots /Users/semihakbayrak/.julia/packages/Plots/vTdnV/src/animation.jl:98\n" + ] + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "Plots.AnimatedGif(\"/Users/semihakbayrak/.julia/dev/ForneyLab/demo/figures/particle_filter.gif\")" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Define values for prior statistics\n", + "sample_vals = rand(1:30,100)\n", + "weight_vals = ones(100)/100\n", + "\n", + "sample_list = []\n", + "weight_list = []\n", + "\n", + "#plt = plot(horizontal,verticle,label=false)\n", + "\n", + "anim = @animate for t = 1:250\n", + " # Prepare data and prior statistics\n", + " data = Dict(:y_t => y_real[t],\n", + " :samples => sample_vals,\n", + " :weights => weight_vals)\n", + " \n", + " # Execute algorithm\n", + " marginals = step!(data)\n", + "\n", + " samples = marginals[:x_t].params[:s]\n", + " weights = marginals[:x_t].params[:w]\n", + " \n", + " push!(sample_list,samples)\n", + " push!(weight_list,weights)\n", + " \n", + " plt = plot(horizontal,verticle,label=false)\n", + " plot!(plt,(x_real[t],50),seriestype = :scatter,markershape = :rtriangle,markersize=10,label=false)\n", + " plot!(plt, samples,40 .*ones(100), seriestype = :scatter,markersize=250 .* weights,label=false)\n", + " \n", + "end\n", + "gif(anim,\"figures/particle_filter.gif\", fps = 10)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Julia 1.2.0-rc1", + "language": "julia", + "name": "julia-1.2" + }, + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.2.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/demo/figures/particle_filter.gif b/demo/figures/particle_filter.gif new file mode 100644 index 0000000000000000000000000000000000000000..295a43dbe3a89b8ede9efc28066968b9b0552a9f GIT binary patch literal 1760351 zcmd42XHb)0_wRirBqR_Z354E4?+8d!TId}DSm=U)B1HiUs0g7*?;s!w(nNZfj)o%A ziz3nu9R!gs(sKCS_rE=7=A1b%pYQCHNnT{GmDToMpG#L?NAZ%QB{%`}2LJ#vK#7FG z>8aq1)KsiA2o_od7aamiN6Uqz=fu!UGh-Ck7&)1k zFL5xdaJymH60vIN(@(fq%Ojvaa~*UvVzvR 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