From e8fad9b9c12f6b80c9dd24c7a9829da41b123fd0 Mon Sep 17 00:00:00 2001 From: Gabriel E Kreindler Date: Mon, 25 Dec 2023 08:09:47 -0500 Subject: [PATCH] add weights to lsqfit, for bootstrap --- Project.toml | 1 + examples/example_ols_2step.jl | 36 +- examples/example_ols_parallel.jl | 113 + examples/temp/fits_boot.csv | 1000 +- examples/temp/fits_boot_all.csv | 20000 ++++++++++++++--------------- examples/temp/step1/Wstep2.csv | 4 +- examples/temp/step1/results.csv | 40 +- examples/temp/step2/Wstep2.csv | 2 + examples/temp/step2/results.csv | 40 +- src/GMMTools.jl | 3 + src/functions_estimation.jl | 165 +- src/functions_inference.jl | 11 +- src/optimization_backends.jl | 184 + 13 files changed, 10909 insertions(+), 10690 deletions(-) create mode 100644 examples/example_ols_parallel.jl create mode 100644 examples/temp/step2/Wstep2.csv create mode 100644 src/optimization_backends.jl diff --git a/Project.toml b/Project.toml index 080ba4a..ed46f62 100644 --- a/Project.toml +++ b/Project.toml @@ -19,6 +19,7 @@ JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" LsqFit = "2fda8390-95c7-5789-9bda-21331edee243" Optim = "429524aa-4258-5aef-a3af-852621145aeb" +ProgressMeter = "92933f4c-e287-5a05-a399-4b506db050ca" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" RegressionTables = "d519eb52-b820-54da-95a6-98e1306fdade" Revise = "295af30f-e4ad-537b-8983-00126c2a3abe" diff --git a/examples/example_ols_2step.jl b/examples/example_ols_2step.jl index f95c7bb..3b0a827 100644 --- a/examples/example_ols_2step.jl +++ b/examples/example_ols_2step.jl @@ -15,7 +15,6 @@ using Optim # need for NewtonTrustRegion() using Random - # load data, originally from: https://www.kaggle.com/datasets/uciml/autompg-dataset/?select=auto-mpg.csv df = CSV.read("examples/auto-mpg.csv", DataFrame) df[!, :constant] .= 1.0 @@ -54,40 +53,45 @@ end write_iter=true, clean_iter=true, overwrite=true, + optim_opts=(show_trace=false,), # additional options for LsqFit in a NamedTuple trace=1) # estimate model myfit = GMMTools.fit(df, ols_moments_fn, theta0, mode=:twostep, opts=myopts) # ### using Optim.jl -# # estimation options -# myopts = GMMTools.GMMOptions( -# path="C:/git-repos/GMMTools.jl/examples/temp/", -# optim_algo=LBFGS(), -# optim_autodiff=:forward, -# write_iter=true, -# clean_iter=true, -# overwrite=true, -# trace=1) - -# # estimate model -# myfit = GMMTools.fit(df, ols_moments_fn, theta0, mode=:twostep, opts=myopts) + # estimation options + myopts = GMMTools.GMMOptions( + path="C:/git-repos/GMMTools.jl/examples/temp/", + optim_algo=LBFGS(), + optim_autodiff=:forward, + write_iter=true, + clean_iter=true, + overwrite=true, + trace=1) + + # estimate model + myfit = GMMTools.fit(df, ols_moments_fn, theta0, mode=:twostep, opts=myopts) # compute asymptotic variance-covariance matrix and save in myfit.vcov vcov_simple(df, ols_moments_fn, myfit) -0 + # print table with results regtable(myfit) -fdsfd + # compute Bayesian (weighted) bootstrap inference and save in myfit.vcov - myopts.trace = 0 + myopts.trace = 1 vcov_bboot(df, ols_moments_fn, theta0, myfit, nboot=500, opts=myopts) GMMTools.regtable(myfit) # print table with new bootstrap SEs -- very similar to asymptotic SEs in this case. Nice! + sdfsd + # using Plots + # histogram(myfit.vcov[:boot_fits].all_theta_hat[:, 1]) # bootstrap with weightes drawn at the level of clusters defined by the variable df.cylinders + myopts.trace = 0 vcov_bboot(df, ols_moments_fn, theta0, myfit, boot_weights=:cluster, cluster_var=:cylinders, nboot=500, opts=myopts) myfit.vcov diff --git a/examples/example_ols_parallel.jl b/examples/example_ols_parallel.jl new file mode 100644 index 0000000..36af3b9 --- /dev/null +++ b/examples/example_ols_parallel.jl @@ -0,0 +1,113 @@ +using Distributed + +using Pkg +Pkg.activate(".") +Pkg.resolve() +Pkg.instantiate() + +rmprocs(workers()) +display(workers()) +addprocs(2) +display(workers()) + +@everywhere using Pkg +@everywhere Pkg.activate(".") + +@everywhere begin + + using Revise + using LinearAlgebra # for identity matrix "I" + using CSV + using DataFrames + using FixedEffectModels # for benchmarking + using RegressionTables + + using GMMTools + using Optim # need for NewtonTrustRegion() + + using Random +end + +# load data, originally from: https://www.kaggle.com/datasets/uciml/autompg-dataset/?select=auto-mpg.csv + df = CSV.read("examples/auto-mpg.csv", DataFrame) + df[!, :constant] .= 1.0 + +# Run plain OLS for comparison + r = reg(df, term(:mpg) ~ term(:acceleration)) + regtable(r) + +# define moments for OLS regression +# residuals orthogonal to the constant and to the variable (acceleration) +# this must always return a Matrix (rows = observations, columns = moments) +@everywhere function ols_moments_fn(data, theta) + + resids = @. data.mpg - theta[1] - theta[2] * data.acceleration + + # n by 2 matrix of moments + moms = hcat(resids, resids .* data.acceleration) + + return moms +end + +# initial parameter guess + Random.seed!(123) + theta0 = randn(20,2) + +### using Optim.jl + # estimation options + myopts = GMMTools.GMMOptions( + path="C:/git-repos/GMMTools.jl/examples/temp/", + optimizer=:lsqfit, + optim_algo_bounds=true, + lower_bound=[-Inf, -Inf], + upper_bound=[Inf, Inf], + optim_autodiff=:forward, + write_iter=true, + clean_iter=true, + overwrite=true, + optim_opts=(show_trace=false,), # additional options for LsqFit in a NamedTuple + trace=1) + + # estimate model + myfit = GMMTools.fit(df, ols_moments_fn, theta0, mode=:twostep, opts=myopts, run_parallel=true) + + fsdfd + +# ### using Optim.jl + # estimation options + myopts = GMMTools.GMMOptions( + path="C:/git-repos/GMMTools.jl/examples/temp/", + optim_algo=LBFGS(), + optim_autodiff=:forward, + write_iter=true, + clean_iter=true, + overwrite=true, + trace=1) + + # estimate model + myfit = GMMTools.fit(df, ols_moments_fn, theta0, mode=:twostep, opts=myopts) + +# compute asymptotic variance-covariance matrix and save in myfit.vcov + vcov_simple(df, ols_moments_fn, myfit) + +# print table with results + regtable(myfit) + + + +# compute Bayesian (weighted) bootstrap inference and save in myfit.vcov + myopts.trace = 1 + vcov_bboot(df, ols_moments_fn, theta0, myfit, nboot=500, opts=myopts) + GMMTools.regtable(myfit) # print table with new bootstrap SEs -- very similar to asymptotic SEs in this case. Nice! + + sdfsd + # using Plots + # histogram(myfit.vcov[:boot_fits].all_theta_hat[:, 1]) + +# bootstrap with weightes drawn at the level of clusters defined by the variable df.cylinders + myopts.trace = 0 + vcov_bboot(df, ols_moments_fn, theta0, myfit, boot_weights=:cluster, cluster_var=:cylinders, nboot=500, opts=myopts) + myfit.vcov + + GMMTools.regtable(myfit) + diff --git a/examples/temp/fits_boot.csv b/examples/temp/fits_boot.csv index e8e78b3..4ecb7cd 100644 --- a/examples/temp/fits_boot.csv +++ b/examples/temp/fits_boot.csv @@ -1,501 +1,501 @@ idx,obj_value,converged,iterations,iteration_limit_reached,time_it_took,theta_hat,theta0,is_optimum,boot_idx -6,4.916672653095488e-27,true,2,false,0.0001887,"[-0.35073019940342587, 1.522090112608032]","[-0.5613936389435279, -0.4119372949028369]",1,1 -2,2.385752897458719e-27,true,3,false,0.0002443,"[-1.9729706223100927, 1.5183320812669023]","[0.25591455568939503, 2.4663282552009886]",1,2 -11,6.015149625884737e-27,true,3,false,0.0002228,"[2.8862387361763067, 1.0152064676061145]","[-0.15992005193991166, 1.6116096865759055]",1,3 -9,3.3653504011444755e-25,true,4,false,0.0002414,"[10.568311175952104, 0.8952556216033039]","[2.1455849594340357, -0.4098811141603417]",1,4 -9,6.719708211218767e-25,true,5,false,0.0003577,"[17.221436432452204, 0.5948011480727331]","[2.1455849594340357, -0.4098811141603417]",1,5 -9,2.7343857661242173e-25,true,5,false,0.0005203,"[21.665584162621972, 0.36344664646350944]","[2.1455849594340357, -0.4098811141603417]",1,6 -6,1.097029087418837e-27,true,3,false,0.0001926,"[-2.261088982495761, 1.6474086132647048]","[-0.5613936389435279, -0.4119372949028369]",1,7 -7,2.426745008038815e-27,true,2,false,0.0001804,"[0.4242245543933928, 1.287108406939435]","[-0.4058237228140323, 0.578383283809836]",1,8 -9,1.033757194699386e-25,true,4,false,0.00057,"[9.497234000739715, 0.8051246407878563]","[2.1455849594340357, -0.4098811141603417]",1,9 -5,3.256806042054272e-27,true,5,false,0.0002886,"[15.59390656956981, 0.607585037697357]","[0.980960709964452, 0.5836982853098448]",1,10 -1,3.471404878460946e-27,true,4,false,0.0005614,"[7.164022314110339, 1.0396074863111586]","[1.295246538843213, 2.9691988723989526]",1,11 -19,2.005981709005256e-27,true,3,false,0.0003278,"[3.506114711305564, 0.9594933268115374]","[1.3871161709848971, -0.24999963649913706]",1,12 -14,3.663693230068498e-27,true,4,false,0.0002491,"[6.602304238030242, 1.1965421946469734]","[-0.5055043321445424, 0.927304874392523]",1,13 -15,1.868181340461158e-28,true,3,false,0.0002451,"[1.725866758594087, 1.4307712379964905]","[0.99773209022595, -1.454912056372055]",1,14 -2,2.979592420842631e-27,true,3,false,0.0002577,"[-1.9344411370291204, 1.5528134912397369]","[0.25591455568939503, 2.4663282552009886]",1,15 -8,2.9706038006761654e-27,true,4,false,0.000232,"[4.043353196895873, 1.3768281464844427]","[-1.96645339807646, -0.8167946584517431]",1,16 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1.1053791138414715]","[-0.33745447783309457, 0.12530157347367626]",0,500 diff --git a/examples/temp/step1/Wstep2.csv b/examples/temp/step1/Wstep2.csv index f1817dd..cec9ec0 100644 --- a/examples/temp/step1/Wstep2.csv +++ b/examples/temp/step1/Wstep2.csv @@ -1,2 +1,2 @@ -0.7160381402040416,-0.043487516296842874 --0.043487516296842874,0.0027167729488171157 +0.7160381402040276,-0.04348751629684201 +-0.04348751629684201,0.002716772948817063 diff --git a/examples/temp/step1/results.csv b/examples/temp/step1/results.csv index 3e68cff..4e5f5bf 100644 --- a/examples/temp/step1/results.csv +++ b/examples/temp/step1/results.csv @@ -1,21 +1,21 @@ idx,obj_value,converged,iterations,iteration_limit_reached,time_it_took,theta_hat,theta0,is_optimum -1,7.23670309332249e-28,true,14,false,3.9799915,"[4.969793004253908, 1.1912045293502276]","[0.8082879284649668, 2.008112624852031]",0 -2,7.235498915606761e-28,true,13,false,0.0003608,"[4.969793004254705, 1.1912045293501778]","[-1.1220725081141734, 0.7650300179102025]",0 -3,1.60726271011644e-28,true,14,false,0.0003451,"[4.96979300425391, 1.1912045293502274]","[-1.1046361023292959, 0.18025374632691527]",1 -4,5.320891008791401e-28,true,14,false,0.0003672,"[4.969793004253927, 1.1912045293502262]","[-0.4169926351649334, 2.0289114854525314]",0 -5,2.8461854003347545e-25,true,13,false,0.0005553,"[4.969793004271526, 1.19120452934913]","[0.28758798062385577, -0.12763690272983585]",0 -6,7.23670309332249e-28,true,14,false,0.000423,"[4.969793004253908, 1.1912045293502276]","[0.2298186980518676, 0.4694770042412599]",0 -7,8.260973072681297e-28,true,14,false,0.0005911,"[4.969793004253912, 1.1912045293502274]","[-0.4217686643996927, -1.5268834666380147]",0 -8,5.870482100700333e-28,true,14,false,0.0005835,"[4.969793004253916, 1.1912045293502271]","[-1.355590621101197, 0.6001322727540475]",0 -9,2.330133338374225e-24,true,13,false,0.0005059,"[4.969793004304313, 1.1912045293470876]","[0.0694591410918936, -2.0538554561632223]",0 -10,6.984920787891614e-28,true,14,false,0.0008951,"[4.969793004253909, 1.1912045293502274]","[-0.11732280453081337, -0.8280567719469374]",0 -11,7.965706903963964e-28,true,14,false,0.0007028,"[4.9697930042539165, 1.191204529350227]","[1.2192815097319654, 1.9026327297429109]",0 -12,1.5619236123546386e-26,true,13,false,0.000635,"[4.969793004258031, 1.1912045293499707]","[0.29291433452245674, 0.6596379523048166]",0 -13,7.965706903963964e-28,true,14,false,0.0008884,"[4.969793004253916, 1.191204529350227]","[-0.031148130349280094, 0.3646547529502906]",0 -14,4.708850005570434e-27,true,13,false,0.0007023,"[4.969793004255889, 1.191204529350104]","[0.3158331001728098, 0.7859141337249973]",0 -15,1.9369777240102804e-28,true,14,false,0.0007267,"[4.969793004253921, 1.1912045293502267]","[-2.1623790026403724, 0.1706378785324274]",0 -16,3.8581720546458034e-28,true,14,false,0.011811,"[4.969793004253918, 1.191204529350227]","[-0.8900766562698114, -1.2890210708540353]",0 -17,8.208268335567972e-28,true,13,false,0.0007497,"[4.969793004253876, 1.1912045293502294]","[0.8542424475591821, 0.9370573773608326]",0 -18,3.8581720546458034e-28,true,14,false,0.0007322,"[4.969793004253918, 1.191204529350227]","[0.3417821366484886, 0.5080857763662175]",0 -19,6.53259139900523e-28,true,14,false,0.0005326,"[4.969793004253913, 1.1912045293502271]","[-0.3188700715740966, -2.249739828113134]",0 -20,7.23670309332249e-28,true,14,false,0.0004681,"[4.9697930042539085, 1.1912045293502276]","[-0.33745447783309457, 0.12530157347367626]",0 +1,7.23670309332249e-28,true,14,false,2.2518205,"[4.969793004253908, 1.1912045293502276]","[0.8082879284649668, 2.008112624852031]",0 +2,7.235498915606761e-28,true,13,false,2.2522414,"[4.969793004254705, 1.1912045293501778]","[-1.1220725081141734, 0.7650300179102025]",0 +3,1.60726271011644e-28,true,14,false,0.0002349,"[4.96979300425391, 1.1912045293502274]","[-1.1046361023292959, 0.18025374632691527]",1 +4,5.320891008791401e-28,true,14,false,0.0002569,"[4.969793004253927, 1.1912045293502262]","[-0.4169926351649334, 2.0289114854525314]",0 +5,2.8461854003347545e-25,true,13,false,0.0002229,"[4.969793004271526, 1.19120452934913]","[0.28758798062385577, -0.12763690272983585]",0 +6,7.23670309332249e-28,true,14,false,0.0002673,"[4.969793004253908, 1.1912045293502276]","[0.2298186980518676, 0.4694770042412599]",0 +7,8.260973072681297e-28,true,14,false,0.0002387,"[4.969793004253912, 1.1912045293502274]","[-0.4217686643996927, -1.5268834666380147]",0 +8,5.870482100700333e-28,true,14,false,0.0002937,"[4.969793004253916, 1.1912045293502271]","[-1.355590621101197, 0.6001322727540475]",0 +9,2.330133338374225e-24,true,13,false,0.0002338,"[4.969793004304313, 1.1912045293470876]","[0.0694591410918936, -2.0538554561632223]",0 +10,6.984920787891614e-28,true,14,false,0.0003408,"[4.969793004253909, 1.1912045293502274]","[-0.11732280453081337, -0.8280567719469374]",0 +11,7.965706903963964e-28,true,14,false,0.0002694,"[4.9697930042539165, 1.191204529350227]","[1.2192815097319654, 1.9026327297429109]",0 +12,1.5619236123546386e-26,true,13,false,0.0003255,"[4.969793004258031, 1.1912045293499707]","[0.29291433452245674, 0.6596379523048166]",0 +13,7.965706903963964e-28,true,14,false,0.0003008,"[4.969793004253916, 1.191204529350227]","[-0.031148130349280094, 0.3646547529502906]",0 +14,4.708850005570434e-27,true,13,false,0.0003117,"[4.969793004255889, 1.191204529350104]","[0.3158331001728098, 0.7859141337249973]",0 +15,1.9369777240102804e-28,true,14,false,0.0003275,"[4.969793004253921, 1.1912045293502267]","[-2.1623790026403724, 0.1706378785324274]",0 +16,3.8581720546458034e-28,true,14,false,0.0003986,"[4.969793004253918, 1.191204529350227]","[-0.8900766562698114, -1.2890210708540353]",0 +17,8.208268335567972e-28,true,13,false,0.0002992,"[4.969793004253876, 1.1912045293502294]","[0.8542424475591821, 0.9370573773608326]",0 +18,3.8581720546458034e-28,true,14,false,0.0003215,"[4.969793004253918, 1.191204529350227]","[0.3417821366484886, 0.5080857763662175]",0 +19,6.53259139900523e-28,true,14,false,0.0002989,"[4.969793004253913, 1.1912045293502271]","[-0.3188700715740966, -2.249739828113134]",0 +20,7.23670309332249e-28,true,14,false,0.0002884,"[4.9697930042539085, 1.1912045293502276]","[-0.33745447783309457, 0.12530157347367626]",0 diff --git a/examples/temp/step2/Wstep2.csv b/examples/temp/step2/Wstep2.csv new file mode 100644 index 0000000..f1817dd --- /dev/null +++ b/examples/temp/step2/Wstep2.csv @@ -0,0 +1,2 @@ +0.7160381402040416,-0.043487516296842874 +-0.043487516296842874,0.0027167729488171157 diff --git a/examples/temp/step2/results.csv b/examples/temp/step2/results.csv index c6b94df..17bbee2 100644 --- a/examples/temp/step2/results.csv +++ b/examples/temp/step2/results.csv @@ -1,21 +1,21 @@ idx,obj_value,converged,iterations,iteration_limit_reached,time_it_took,theta_hat,theta0,is_optimum -1,1.0475958651972258e-24,true,9,false,0.6244819,"[4.96979300421376, 1.1912045293528397]","[0.8082879284649668, 2.008112624852031]",0 -2,7.8018502033995975e-28,true,9,false,0.0004777,"[4.969793004255019, 1.1912045293501554]","[-1.1220725081141734, 0.7650300179102025]",0 -3,3.3584059426187373e-25,true,9,false,0.0005178,"[4.969793004276642, 1.1912045293487483]","[-1.1046361023292959, 0.18025374632691527]",0 -4,1.2504645810164842e-24,true,9,false,0.0005788,"[4.969793004210052, 1.1912045293530809]","[-0.4169926351649334, 2.0289114854525314]",0 -5,9.108528217657389e-25,true,9,false,0.0007847,"[4.969793004291344, 1.1912045293477918]","[0.28758798062385577, -0.12763690272983585]",0 -6,1.511590836117943e-25,true,9,false,0.0007663,"[4.969793004269165, 1.1912045293492348]","[0.2298186980518676, 0.4694770042412599]",0 -7,4.96248511676189e-24,true,9,false,0.0003917,"[4.969793004341287, 1.1912045293445426]","[-0.4217686643996927, -1.5268834666380147]",0 -8,2.848747502541077e-26,true,9,false,0.0007954,"[4.969793004260533, 1.1912045293497966]","[-1.355590621101197, 0.6001322727540475]",0 -9,7.580413149966945e-24,true,9,false,0.0009074,"[4.969793004361912, 1.1912045293432005]","[0.0694591410918936, -2.0538554561632223]",0 -10,2.5236425087928008e-24,true,9,false,0.0006708,"[4.969793004316226, 1.191204529346173]","[-0.11732280453081337, -0.8280567719469374]",0 -11,8.083259843985857e-25,true,9,false,0.0004759,"[4.96979300421865, 1.1912045293525215]","[1.2192815097319654, 1.9026327297429109]",0 -12,4.5831135350254364e-26,true,9,false,0.0006241,"[4.969793004262301, 1.1912045293496816]","[0.29291433452245674, 0.6596379523048166]",0 -13,2.2249549065501003e-25,true,9,false,0.0008536,"[4.969793004272414, 1.1912045293490234]","[-0.031148130349280094, 0.3646547529502906]",0 -14,9.274650809432834e-27,true,9,false,0.0004726,"[4.9697930042577, 1.191204529349981]","[0.3158331001728098, 0.7859141337249973]",0 -15,2.7424509684866906e-25,true,9,false,0.000611,"[4.969793004274448, 1.191204529348891]","[-2.1623790026403724, 0.1706378785324274]",0 -16,3.900035068880844e-24,true,9,false,0.0003325,"[4.969793004331376, 1.1912045293451872]","[-0.8900766562698114, -1.2890210708540353]",0 -17,1.6911202565815004e-28,true,9,false,0.0003386,"[4.969793004253402, 1.1912045293502604]","[0.8542424475591821, 0.9370573773608326]",1 -18,1.291079096127942e-25,true,9,false,0.0005605,"[4.969793004268007, 1.1912045293493103]","[0.3417821366484886, 0.5080857763662175]",0 -19,8.491949025840844e-24,true,9,false,0.0005122,"[4.969793004368217, 1.1912045293427904]","[-0.3188700715740966, -2.249739828113134]",0 -20,4.600759016837064e-25,true,9,false,0.0004865,"[4.969793004280514, 1.1912045293484965]","[-0.33745447783309457, 0.12530157347367626]",0 +1,1.0475958651972258e-24,true,9,false,0.3766856,"[4.96979300421376, 1.1912045293528397]","[0.8082879284649668, 2.008112624852031]",0 +2,7.8018502033995975e-28,true,9,false,0.3744528,"[4.969793004255019, 1.1912045293501554]","[-1.1220725081141734, 0.7650300179102025]",0 +3,3.3584059426187373e-25,true,9,false,0.0002012,"[4.969793004276642, 1.1912045293487483]","[-1.1046361023292959, 0.18025374632691527]",0 +4,1.2504645810164842e-24,true,9,false,0.0001903,"[4.969793004210052, 1.1912045293530809]","[-0.4169926351649334, 2.0289114854525314]",0 +5,9.108528217657389e-25,true,9,false,0.0002243,"[4.969793004291344, 1.1912045293477918]","[0.28758798062385577, -0.12763690272983585]",0 +6,1.511590836117943e-25,true,9,false,0.0002158,"[4.969793004269165, 1.1912045293492348]","[0.2298186980518676, 0.4694770042412599]",0 +7,4.96248511676189e-24,true,9,false,0.0002337,"[4.969793004341287, 1.1912045293445426]","[-0.4217686643996927, -1.5268834666380147]",0 +8,2.848747502541077e-26,true,9,false,0.0002545,"[4.969793004260533, 1.1912045293497966]","[-1.355590621101197, 0.6001322727540475]",0 +9,7.580413149966945e-24,true,9,false,0.000265,"[4.969793004361912, 1.1912045293432005]","[0.0694591410918936, -2.0538554561632223]",0 +10,2.5236425087928008e-24,true,9,false,0.0002513,"[4.969793004316226, 1.191204529346173]","[-0.11732280453081337, -0.8280567719469374]",0 +11,8.083259843985857e-25,true,9,false,0.0001902,"[4.96979300421865, 1.1912045293525215]","[1.2192815097319654, 1.9026327297429109]",0 +12,4.5831135350254364e-26,true,9,false,0.0002249,"[4.969793004262301, 1.1912045293496816]","[0.29291433452245674, 0.6596379523048166]",0 +13,2.2249549065501003e-25,true,9,false,0.0002153,"[4.969793004272414, 1.1912045293490234]","[-0.031148130349280094, 0.3646547529502906]",0 +14,9.274650809432834e-27,true,9,false,0.0002396,"[4.9697930042577, 1.191204529349981]","[0.3158331001728098, 0.7859141337249973]",0 +15,2.7424509684866906e-25,true,9,false,0.0003573,"[4.969793004274448, 1.191204529348891]","[-2.1623790026403724, 0.1706378785324274]",0 +16,3.900035068880844e-24,true,9,false,0.0003391,"[4.969793004331376, 1.1912045293451872]","[-0.8900766562698114, -1.2890210708540353]",0 +17,1.6911202565815004e-28,true,9,false,0.0001966,"[4.969793004253402, 1.1912045293502604]","[0.8542424475591821, 0.9370573773608326]",1 +18,1.291079096127942e-25,true,9,false,0.0002225,"[4.969793004268007, 1.1912045293493103]","[0.3417821366484886, 0.5080857763662175]",0 +19,8.491949025840844e-24,true,9,false,0.0002253,"[4.969793004368217, 1.1912045293427904]","[-0.3188700715740966, -2.249739828113134]",0 +20,4.600759016837064e-25,true,9,false,0.0004797,"[4.969793004280514, 1.1912045293484965]","[-0.33745447783309457, 0.12530157347367626]",0 diff --git a/src/GMMTools.jl b/src/GMMTools.jl index 58f72d2..28a745f 100644 --- a/src/GMMTools.jl +++ b/src/GMMTools.jl @@ -27,6 +27,8 @@ using LsqFit using FiniteDiff using ForwardDiff +using ProgressMeter + using Vcov # needed for regression table using RegressionTables # import ..RegressionTables: regtable, asciiOutput @@ -40,6 +42,7 @@ export GMMFit, table, regtable include("functions_estimation.jl") +include("optimization_backends.jl") include("functions_inference.jl") include("functions_regtable.jl") include("utilities.jl") diff --git a/src/functions_estimation.jl b/src/functions_estimation.jl index 55d7046..954efa5 100644 --- a/src/functions_estimation.jl +++ b/src/functions_estimation.jl @@ -140,7 +140,10 @@ function write(est_result::GMMFit, opts::GMMOptions, filename; subpath="") else (subpath[end] != '/') && (subpath *= "/") full_path = opts.path * subpath - isdir(full_path) || mkdir(full_path) + # if !isdir(full_path) + # sleep(0.1 * rand()) # avoid race conditions when running in parallel + # mkdir(full_path) + # end end CSV.write(full_path * filename, table(est_result)) @@ -221,24 +224,6 @@ end ###### GMM -function gmm_objective(theta::Vector, data, mom_fn::Function, W, weights; trace=0) - - t1 = @elapsed m = mom_fn(data, theta) - - @assert isa(m, Matrix) "m(data, theta) must return a Matrix (rows = observations, columns = moments)" - - (trace > 1) && println("Evaluation took ", t1) - - # average of the moments over all observations (with/without weights) - if isnothing(weights) - mmean = mean(m, dims=1) - else - mmean = (weights' * m) ./ sum(weights) - end - - # objective - return (mmean * W * Transpose(mmean))[1] -end """ """ @@ -286,6 +271,9 @@ function fit_twostep( run_parallel=true, opts=default_gmm_opts()) + # avoid modifying the original (change paths) + opts = copy(opts) + main_path = opts.path (main_path[end] != '/') && (main_path *= "/") @@ -312,12 +300,12 @@ function fit_twostep( Wstep2 = inv(Wstep2) # Save Wstep2 to file + opts.path = main_path * "step2/" + isdir(opts.path) || mkdir(opts.path) writedlm( opts.path * "Wstep2.csv", Wstep2, ',') ### Step 2 (opts.trace > 0) && println(">>> Starting GMM step 2.") - opts.path = main_path * "step2/" - isdir(opts.path) || mkdir(opts.path) fit_step2 = fit_onestep( data, @@ -331,7 +319,7 @@ function fit_twostep( fit_step2.fit_step1 = fit_step1 # revert - opts.path = main_path + # opts.path = main_path return fit_step2 end @@ -354,6 +342,13 @@ function fit_onestep( # number of parameters nparam = size(theta0, 2) + # create folder to store iterations + if (opts.path != "") && (opts.write_iter) + (opts.trace > 0) && println("creating path for saving results") + iterpath = opts.path * "__iter__/" + isdir(iterpath) || mkdir(iterpath) + end + # skip if output file already exists if !opts.overwrite && (opts.path != "") @@ -376,7 +371,7 @@ function fit_onestep( all_model_fits[i] = fit_onerun(i, data, mom_fn, theta0[i, :], W=W, weights=weights, opts=opts) end else - all_model_fits = pmap( i -> fit_onerun(i, data, mom_fn, theta0[i, :], W=W, weights=weights, opts=opts), 1:nic) + all_model_fits = @showprogress pmap( i -> fit_onerun(i, data, mom_fn, theta0[i, :], W=W, weights=weights, opts=opts), 1:nic) end best_model_fit = process_model_fits(all_model_fits) @@ -422,118 +417,30 @@ function fit_onerun( if opts.optimizer == :optim # Use the general purpose Optim.jl package for optimization (default) - # load the data - gmm_objective_loaded = theta -> gmm_objective(theta, data, mom_fn, W, weights, trace=opts.trace) - - # Optim.jl optimize - optim_main_args = [] - push!(optim_main_args, gmm_objective_loaded) - if opts.optim_algo_bounds - push!(optim_main_args, opts.lower_bound) - push!(optim_main_args, opts.upper_bound) - end - push!(optim_main_args, theta0) + model_fit = backend_optimjl( + data, + mom_fn, + theta0; + W=W, + weights=weights, + opts=opts) - push!(optim_main_args, opts.optim_algo) # defalut = LBFGS() - push!(optim_main_args, opts.optim_opts) - if opts.optim_autodiff != :none - kwargs = (autodiff = :forward, ) - else - kwargs = () - end + model_fit.idx = idx - time_it_took = @elapsed raw_opt_results = Optim.optimize(optim_main_args...; kwargs...) - - #= - summary(res) - minimizer(res) - minimum(res) - iterations(res) - iteration_limit_reached(res) - trace(res) - x_trace(res) - f_trace(res) - f_calls(res) - converged(res) - =# - - model_fit = GMMFit( - converged = Optim.converged(raw_opt_results), - theta_hat = Optim.minimizer(raw_opt_results), - theta_names = opts.theta_names, - weights=weights, - W=W, - obj_value = Optim.minimum(raw_opt_results), - iterations = Optim.iterations(raw_opt_results), - iteration_limit_reached = Optim.iteration_limit_reached(raw_opt_results), - theta0 = theta0, - time_it_took = time_it_took, - idx=idx - ) elseif opts.optimizer == :lsqfit # use the Levenberg Marquardt algorithm from LsqFit.jl for optimization # this relies on the fact that the GMM objective function is a sum of squares - - # Cholesky decomposition of W = Whalf * Whalf' - if !isa(W, UniformScaling) - Whalf = Matrix(cholesky(Hermitian(W)).L) - if norm(Whalf * transpose(Whalf) - W) > 1e-8 - @warn "Cholesky decomposition approximate: abs(Whalf * Whalf' - W) > 1e-8" - end - else - Whalf = W - end - - # Objective function: multiply avg moments by (Cholesky) half matrice and take means - # (1 x n_moms) x (n_moms x n_moms) = (1 x n_moms) - gmm_objective_loaded = (x, theta) -> vec(mean(mom_fn(data, theta), dims=1) * Whalf) - - # Build options programatically - m = mom_fn(data, theta0) - n_moms = size(m, 2) - - lsqfit_main_args = [] - push!(lsqfit_main_args, gmm_objective_loaded) # function - push!(lsqfit_main_args, zeros(n_moms)) # x - push!(lsqfit_main_args, zeros(n_moms)) # y - push!(lsqfit_main_args, theta0) - mynames = [] - myvalues = [] - if opts.optim_algo_bounds - push!(mynames, :lower) - push!(myvalues, opts.lower_bound) - - push!(mynames, :upper) - push!(myvalues, opts.upper_bound) - end - - if opts.optim_autodiff != :none - push!(mynames, :autodiff) - push!(myvalues, :forwarddiff) - end - - # always store the trace (to know how many iterations were done) - push!(mynames, :store_trace) - push!(myvalues, true) + model_fit = backend_lsqfit( + data, + mom_fn, + theta0; + W=W, + weights=weights, + opts=opts) + + model_fit.idx = idx - lsqfit_kwargs = NamedTuple{Tuple(mynames)}(myvalues) - - time_it_took = @elapsed raw_opt_results = curve_fit(lsqfit_main_args...; lsqfit_kwargs...) - - model_fit = GMMFit( - converged = raw_opt_results.converged, - theta_hat = raw_opt_results.param, - theta_names = opts.theta_names, - weights=weights, - W=W, - obj_value = sum(raw_opt_results.resid .* raw_opt_results.resid), - iterations = length(raw_opt_results.trace), - iteration_limit_reached = length(raw_opt_results.trace) >= 1000, - theta0 = theta0, - time_it_took = time_it_took, - idx=idx - ) else error("Optimizer " * string(opts.optimizer) * " not supported. Stopping.") end @@ -541,7 +448,7 @@ function fit_onerun( # write intermediate results to file if opts.write_iter (opts.trace > 0) && println(" Done and done writing to file.") - write(model_fit, opts, "results_" * string(idx) * ".csv", subpath="__iter__") + write(model_fit, opts, "results_" * string(idx) * ".csv", subpath="__iter__/") else (opts.trace > 0) && println(" Done. ") end diff --git a/src/functions_inference.jl b/src/functions_inference.jl index 93cebbd..e27cdd3 100644 --- a/src/functions_inference.jl +++ b/src/functions_inference.jl @@ -141,6 +141,9 @@ function vcov_bboot( run_parallel=true, opts::GMMOptions=default_gmm_opts()) + # copy options so we can modify them (trace and path) + opts = copy(opts) + if !isnothing(cluster_var) && (boot_weights != :cluster) @error "cluster_var is specified but boot_weights is not :cluster. Proceeding without clustering." end @@ -211,6 +214,7 @@ function vcov_bboot( opts=opts) end else + # all_boot_fits = @showprogress pmap( all_boot_fits = pmap( i -> bboot(i, data, @@ -230,9 +234,9 @@ function vcov_bboot( # delete all intermediate files with individual iteration results if opts.clean_iter - print("Deleting individual boot files...") + (opts.trace > 0) && print("Deleting individual boot files...") rm(opts.path * "__boot__/", force=true, recursive=true) - println(" Done.") + (opts.trace > 0) && println(" Done.") end # store results @@ -251,7 +255,7 @@ function bboot( data, mom_fn::Function, theta0, - boot_weights; # ? where do we want this? + boot_weights; W=I, opts::GMMOptions) @@ -260,6 +264,7 @@ function bboot( # path for saving results new_opts = copy(opts) (new_opts.path != "") && (new_opts.path *= "__boot__/boot_" * string(idx) * "_") + new_opts.trace = 0 return fit(data, mom_fn, theta0, W=W, weights=boot_weights, run_parallel=false, opts=new_opts) end diff --git a/src/optimization_backends.jl b/src/optimization_backends.jl new file mode 100644 index 0000000..e4c05d7 --- /dev/null +++ b/src/optimization_backends.jl @@ -0,0 +1,184 @@ + + + +function gmm_objective(theta::Vector, data, mom_fn::Function, W, weights; trace=0) + + t1 = @elapsed m = mom_fn(data, theta) + + @assert isa(m, Matrix) "m(data, theta) must return a Matrix (rows = observations, columns = moments)" + + (trace > 1) && println("Evaluation took ", t1) + + # average of the moments over all observations (with/without weights) + if isnothing(weights) + mmean = mean(m, dims=1) + else + mmean = (weights' * m) ./ sum(weights) + end + + # objective + return (mmean * W * Transpose(mmean))[1] +end + +""" +using Optim.jl as backend for optimization +""" +function backend_optimjl( + data, + mom_fn::Function, + theta0; + W=I, + weights=nothing, + opts::GMMOptions) + + # load the data, W and weights in the moment function + gmm_objective_loaded = theta -> gmm_objective(theta, data, mom_fn, W, weights, trace=opts.trace) + + # Optim.jl optimize + optim_main_args = [] + push!(optim_main_args, gmm_objective_loaded) + if opts.optim_algo_bounds + push!(optim_main_args, opts.lower_bound) + push!(optim_main_args, opts.upper_bound) + end + push!(optim_main_args, theta0) + + push!(optim_main_args, opts.optim_algo) # defalut = LBFGS() + !isnothing(opts.optim_opts) && push!(optim_main_args, opts.optim_opts) + if opts.optim_autodiff != :none + kwargs = (autodiff = :forward, ) + else + kwargs = () + end + + time_it_took = @elapsed raw_opt_results = Optim.optimize(optim_main_args...; kwargs...) + + #= + summary(res) + minimizer(res) + minimum(res) + iterations(res) + iteration_limit_reached(res) + trace(res) + x_trace(res) + f_trace(res) + f_calls(res) + converged(res) + =# + + model_fit = GMMFit( + converged = Optim.converged(raw_opt_results), + theta_hat = Optim.minimizer(raw_opt_results), + theta_names = opts.theta_names, + weights=weights, + W=W, + obj_value = Optim.minimum(raw_opt_results), + iterations = Optim.iterations(raw_opt_results), + iteration_limit_reached = Optim.iteration_limit_reached(raw_opt_results), + theta0 = theta0, + time_it_took = time_it_took + ) + + return model_fit +end + + +############### LSQFIT (write the objective as a sum of squares) + +function gmm_objective_half(theta::Vector, data, mom_fn::Function, Whalf, weights) + + m = mom_fn(data, theta) + @assert isa(m, Matrix) "m(data, theta) must return a Matrix (rows = observations, columns = moments)" + + # average of the moments over all observations (with/without weights) + if isnothing(weights) + mmean = mean(m, dims=1) + else + # weights is a vector, so result here is (1 x n_moms) + mmean = (weights' * m) ./ sum(weights) + end + + # objective + return vec(mmean * Whalf) +end + +""" +using LsqFit.jl as backend for optimization, especially the Levenberg-Marquardt algorithm +""" +function backend_lsqfit( + data, + mom_fn::Function, + theta0; + W=I, + weights=nothing, + opts::GMMOptions) + + + # Cholesky decomposition of W = Whalf * Whalf' + if !isa(W, UniformScaling) + Whalf = Matrix(cholesky(Hermitian(W)).L) + if norm(Whalf * transpose(Whalf) - W) > 1e-8 + @warn "Cholesky decomposition approximate: abs(Whalf * Whalf' - W) > 1e-8" + end + else + Whalf = W + end + + # Objective function: multiply avg moments by (Cholesky) half matrice and take means + # (1 x n_moms) x (n_moms x n_moms) = (1 x n_moms) + # gmm_objective_loaded = (x, theta) -> vec(mean(mom_fn(data, theta), dims=1) * Whalf) + gmm_objective_loaded = (x, theta) -> gmm_objective_half(theta, data, mom_fn, Whalf, weights) + + # Build options programatically + m = mom_fn(data, theta0) + n_moms = size(m, 2) + + lsqfit_main_args = [] + push!(lsqfit_main_args, gmm_objective_loaded) # function + push!(lsqfit_main_args, zeros(n_moms)) # x + push!(lsqfit_main_args, zeros(n_moms)) # y + push!(lsqfit_main_args, theta0) + + mynames = [] + myvalues = [] + if opts.optim_algo_bounds + push!(mynames, :lower) + push!(myvalues, opts.lower_bound) + + push!(mynames, :upper) + push!(myvalues, opts.upper_bound) + end + + if opts.optim_autodiff != :none + push!(mynames, :autodiff) + push!(myvalues, :forwarddiff) + end + + # always store the trace (to know how many iterations were done) + push!(mynames, :store_trace) + push!(myvalues, true) + + lsqfit_kwargs = NamedTuple{Tuple(mynames)}(myvalues) + + if !isnothing(opts.optim_opts) + lsqfit_kwargs = merge(lsqfit_kwargs, opts.optim_opts) + end + # push!(mynames, :show_trace) + # push!(myvalues, true) + + time_it_took = @elapsed raw_opt_results = curve_fit(lsqfit_main_args...; lsqfit_kwargs...) + + model_fit = GMMFit( + converged = raw_opt_results.converged, + theta_hat = raw_opt_results.param, + theta_names = opts.theta_names, + weights=weights, + W=W, + obj_value = sum(raw_opt_results.resid .* raw_opt_results.resid), + iterations = length(raw_opt_results.trace), + iteration_limit_reached = length(raw_opt_results.trace) >= 1000, + theta0 = theta0, + time_it_took = time_it_took + ) + return model_fit +end \ No newline at end of file