{ "cells": [ { "cell_type": "markdown", "source": [ "# Replication of Mackowiak and Wiederholt (2009)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "This example replicates [Mackowiak and Wiederholt (2009)](https://www.aeaweb.org/articles?id=10.1257/aer.99.3.769) (henceforth MW) using the [DRIPs](https://github.com/afrouzi/DRIPs) package." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/choongryulyang/dynamic_multivariate_RI/master?filepath=Julia) to run and modify the following code (no software is needed on the local machine)." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "See [Afrouzi and Yang (2019)](http://www.afrouzi.com/dynamic_inattention.pdf) for background on the theory." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Contents\n", "* Setup\n", "* Mapping the Problem to a DRIP\n", "* Initialization\n", "* Functions\n", " * Solving for the fixed point given $\\omega$\n", " * Solving for the optimal $\\omega$\n", "* Figures\n", " * Benchmark Economy\n", " * Other values of real rigidity\n", " * Other values of information capacity\n", "* Measuring Performance/Speed" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Setup" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The problem in MW is\n", "$$\n", "\\begin{aligned}\n", " &\\min_{\\{\\hat{\\Delta}_{i,t},\\hat{z}_{i,t}\\}} \\left\\{ E\\left[(\\Delta_t-\\hat{\\Delta}_{i,t})^2\\right]+\\underset{\\equiv \\xi}{\\underbrace{\\left(\\frac{\\hat{\\pi}_{14}}{\\hat{\\pi}_{11}}\\right)}}^2E\\left[(z_{i,t}-\\hat{z}_{i,t})^2\\right]\\right\\}, \\\\\n", " s.t.\\quad & \\mathcal{I}(\\{\\Delta_t\\};\\{\\hat{\\Delta}_{i,t}\\})+\\mathcal{I}(\\{z_{i,t}\\};\\{\\hat{z}_{i,t}\\})\\leq \\kappa, \\\\\n", " & \\{\\Delta_t,\\hat{\\Delta}_{i,t}\\} \\perp \\{z_{i,t},\\hat{z}_{i,t}\\}\n", "\\end{aligned}\n", "$$\n", "where\n", "$$\n", "\\begin{aligned}\n", " \\Delta_t&\\equiv p_t + \\underset{\\equiv 1-\\alpha}{\\underbrace{\\left(\\frac{|\\hat{\\pi}_{13}|}{|\\hat{\\pi}_{11}|}\\right)}}(q_t-p_t) \\\\\n", " p_t &= \\int_0^1 \\hat{\\Delta}_{i,t}di \\\\\n", " q_t &= \\rho q_{t-1} + \\nu_t, \\nu_{q,t}\\sim \\mathcal{N}(0,\\sigma_q^2) \\\\\n", " z_{i,t}&= \\rho z_{i,t-1} + \\nu_{z,t}, \\nu_{z,t}\\sim \\mathcal{N}(0,\\sigma_z^2)\n", "\\end{aligned}\n", "$$" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Mapping the Problem to a DRIP" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "There are a few ways of translating the problem above to a D.R.I.P. structure; however, the most efficient way, due to the independence assumption, is to write it as the sum of two D.R.I.P.'s: one that solves the attention problem for the idiosyncratic shock, and one that solves the attention problem for the aggregate shock which also has endogenous feedback." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Moreover, since the problem above has a fixed capacity, instead of a fixed cost of attention ($\\omega$) as in D.R.I.P. pacakge, we need to iterate over $\\omega$'s to find the one that corresponds with $\\kappa$." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Initialization\n", "Include the package::" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using DRIPs;" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "Assign parameters:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "ρ = 0.95;\n", "σq = 0.01;\n", "σz = 11.8*σq;\n", "κ = 3;\n", "ξ = 1;\n", "α = 1 - 0.15;" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "Primitives of Drip:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using LinearAlgebra;\n", "L = 21; # length of trunction\n", "A = [zeros(1,L);[Matrix(I,L-1,L-1);zeros(1,L-1)]']; # MW truncate the state space with linear irfs of length 20\n", "Qq = zeros(L,1); Qq[1]=σq;\n", "Qz = zeros(L,1); Qz[1]=σz;\n", "H = zeros(L,1); H[1:21] = Array(1:-1/20:0);" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "## Functions\n", "We start with a function that solves the aggregate problem with feedback for a given $\\omega$.\n", "### Solving for the fixed point given $\\omega$" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "function agg_drip(ω,A,Qq, #primitives of drip except for H because H is endogenous\n", " α, #strategic complementarity\n", " H; #state space rep. of q\n", " β = 1, #optional: discount factor, MW's parameterization implies β = 1\n", " H0 = H, #optional: initial guess for HΔ (H is the true solution when α=0)\n", " maxit = 10000, #optional: max number of iterations for GE code\n", " tol = 1e-4, #optional: tolerance for iterations\n", " w = 1) #optional: update weight for RI\n", " errmin= 1;\n", " err = 1;\n", " iter = 0;\n", " L = length(H);\n", " while (err > tol) & (iter < maxit)\n", " if iter == 0\n", " global agg = solve_drip(ω,β,A,Qq,H0;w = w);\n", " else\n", " global agg = solve_drip(ω,β,A,Qq,H0;Ω0 = agg.Ω , Σ0 = agg.Σ_1,w = w);\n", " end\n", "\n", " XFUN(jj) = ((I-agg.K*agg.Y')*agg.A)^jj * (agg.K*agg.Y') * (agg.A')^jj\n", " X = DRIPs.infinitesum(XFUN; maxit=200, start = 0); #E[x⃗]=X×x⃗\n", "\n", " XpFUN(jj) = α^jj * X^(jj)\n", " Xp = DRIPs.infinitesum(XpFUN; maxit=200, start = 0);\n", "\n", " H1 = (1-α)*Xp'*H;\n", "\n", " err= 0.5*norm(H1-H0,2)/norm(H0)+0.5*err;\n", " if DRIPs.capacity(agg) < 1e-2 # perturb the initial guess if solution is the zero capacity one\n", " H0 = H0+rand(L).*(H-H0);\n", " else # store the solution if it has positive capacity\n", " H0 = H1;\n", " if err < errmin\n", " global aggmin = agg;\n", " errmin = err;\n", " end\n", " end\n", " iter += 1;\n", " end\n", " return(aggmin, errmin)\n", "end;" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "Now we need a function that iterates over $\\omega$'s to find the one that corresponds to a given capacity for the MW problem.\n", "### Solving for the optimal $\\omega$" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using Printf;\n", "function MW(κ,α,A,Qq,Qz,Hq,Hz; #primitives of MW problem\n", " ω = σq^2, #optional: initial guess for ω\n", " tol = 1e-3, #optional: tolerance for κ\n", " maxit = 10000) #optional: max iterations\n", " ωs = [ω; 2*ω];\n", " caps = [];\n", " iter = 0;\n", " err = 1;\n", " it = 0;\n", " while (err > tol) & (iter < maxit)\n", " agg, errtemp = agg_drip(ω,A,Qq,α,H; H0 = rand(L),maxit=25,w=0.95);\n", " idi = solve_drip(ω,1,A,Qz,H,w = 0.9) ;\n", " cap = DRIPs.capacity(agg, unit = \"bit\") + DRIPs.capacity(idi, unit = \"bit\");\n", " x = ω/σq^2;\n", " @printf(\"ω = %.2fσq² for κ = %.2f \\n\",x,cap)\n", " push!(caps,cap);\n", " if it == 0\n", " ω = ωs[end];\n", " else\n", " slope = (caps[end]-caps[end-1])/(ωs[end]-ωs[end-1]);\n", " ω = ω + (κ-caps[end])/slope;\n", " push!(ωs,ω);\n", " end\n", " err = abs(caps[end] - κ)/κ;\n", " it += 1;\n", " end\n", " return(ω);\n", "end;" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "## Figures\n", "Start with the benchmark calibration:\n", "### Benchmark Economy" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ω = 1.00σq² for κ = 3.67 \n", "ω = 2.00σq² for κ = 3.09 \n", "ω = 2.16σq² for κ = 3.03 \n", "ω = 2.23σq² for κ = 3.01 \n", "ω = 2.25σq² for κ = 3.00 \n", "Agg. Capacity = 0.11 bits, Idio. Capacity = 2.89 bits" ] } ], "cell_type": "code", "source": [ "ω = MW(3,α,A,Qq,Qz,H,H);\n", "\n", "agg, err = agg_drip(ω,A,Qq,α,H; H0 = rand(L), maxit = 500, w = 0.95);\n", "idi = solve_drip(ω,1,A,Qz,H,w = 0.9);\n", "\n", "@printf(\"Agg. Capacity = %.2f bits, Idio. Capacity = %.2f bits\",DRIPs.capacity(agg),DRIPs.capacity(idi));" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "Plot IRFs" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=5}", "image/png": 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\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", " \n", " \n", " \n", " \n", "\n" ] }, "metadata": {}, "execution_count": 7 } ], "cell_type": "code", "source": [ "iirfs = dripirfs(idi, T = L)\n", "airfs = dripirfs(agg, T = L)\n", "\n", "using Plots, LaTeXStrings; pyplot();\n", "p1 = plot([iirfs.a[1,1,:],σz*H],\n", " label = [\"Perfect information\" \"Rational inattention\"],\n", " marker = [:square :circle],\n", " color = [:gray25 :black],\n", " markercolor = [false :black],\n", " markerstrokecolor = [:gray25 :black],\n", " markersize = [7 3],\n", " xlabel = \"Periods\",\n", " ylabel = \"Impulse responses to shocks \\n of one standard deviation\");\n", "p2 = plot([σq*H,airfs.a[1,1,1:end],σq*agg.H],\n", " label = [\"Perfect information\" \"Rational inattention\" L\"$\\Delta$ at the fixed point w/ RI\"],\n", " marker = [:circle :square :utriangle],\n", " color = [:black :gray25 :gray50],\n", " markercolor = [:black false false] ,\n", " markerstrokecolor = [:black :gray25 :gray50],\n", " markersize = [3 7 7],\n", " xlabel = \"Periods\",\n", " ylabel = \"Impulse responses to shocks \\n of one standard deviation\")\n", "\n", "plot(p1,p2,\n", " layout = (2,1),\n", " xlim = (0,L+1),\n", " lw = 1,\n", " legend = :topright,\n", " legendfont = font(12),\n", " tickfont = font(12),\n", " size = (1000,550),\n", " xticks = 1:2:21,\n", " framestyle = :box)" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "### Other values of real rigidity ($\\alpha$)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "For $\\alpha = 0.7$:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ω = 1.00σq² for κ = 3.83 \n", "ω = 2.00σq² for κ = 3.19 \n", "ω = 2.30σq² for κ = 3.07 \n", "ω = 2.46σq² for κ = 3.00 \n", "ω = 2.48σq² for κ = 3.00 \n", "Agg. Capacity = 0.17 bits, Idio. Capacity = 2.83 bits" ] } ], "cell_type": "code", "source": [ "ω_α7 = MW(3,0.7,A,Qq,Qz,H,H);\n", "\n", "agg_α7, err = agg_drip(ω_α7,A,Qq,0.7,H; H0 = rand(L), maxit = 100, w = 0.95);\n", "idi_α7 = solve_drip(ω_α7,1,A,Qz,H,w = 0.9);\n", "\n", "@printf(\"Agg. Capacity = %.2f bits, Idio. Capacity = %.2f bits\",\n", " DRIPs.capacity(agg_α7),DRIPs.capacity(idi_α7));" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "For $\\alpha = 0$:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ω = 1.00σq² for κ = 4.06 \n", "ω = 2.00σq² for κ = 3.39 \n", "ω = 2.59σq² for κ = 3.16 \n", "ω = 2.99σq² for κ = 3.03 \n", "ω = 3.08σq² for κ = 3.00 \n", "Agg. Capacity = 0.32 bits, Idio. Capacity = 2.68 bits" ] } ], "cell_type": "code", "source": [ "ω_α0 = MW(3,0,A,Qq,Qz,H,H);\n", "\n", "agg_α0, err = agg_drip(ω_α0,A,Qq,0,H; H0 = rand(L), maxit = 100, w = 0.95);\n", "idi_α0 = solve_drip(ω_α0,1,A,Qz,H,w = 0.9);\n", "\n", "@printf(\"Agg. Capacity = %.2f bits, Idio. Capacity = %.2f bits\",\n", " DRIPs.capacity(agg_α0),DRIPs.capacity(idi_α0));" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "Plot IRFs:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=4}", "image/png": 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\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", " \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", " \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" ] }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "airfs_α7 = dripirfs(agg_α7, T = L);\n", "airfs_α0 = dripirfs(agg_α0, T = L);\n", "\n", "plot(1:L,0.75*[σq*H,airfs.a[1,1,:],airfs_α7.a[1,1,:],airfs_α0.a[1,1,:]],\n", " label = [\"Perfect information\" L\"Rational inattention, benchmark economy, $\\alpha = 0.85$\" L\"Lower degree of real rigidity, $\\alpha = 0.7$\" L\"Lower degree of real rigidity, $\\alpha = 0$\"],\n", " marker = [:circle :square :x :circle],\n", " color = [:black :gray20 :gray40 :gray60],\n", " markercolor = [:black false :gray40 false],\n", " markerstrokecolor = [:black :gray20 :gray40 :gray60],\n", " markersize = [3 7 7 7],\n", " xlim = (0,L+1),\n", " lw = 1,\n", " xticks = 1:2:21,\n", " legend = :topright,\n", " legendfont = font(11),\n", " tickfont = font(11),\n", " size = (1000,275),\n", " ylim = (0,σq),\n", " framestyle = :box,\n", " xlabel = \"Periods\",\n", " ylabel = \"Impulse responses to shocks \\n of one standard deviation\")" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "### Other values of information capacity ($\\kappa$)\n", "For $\\kappa=4$:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ω = 1.00σq² for κ = 3.67 \n", "ω = 2.00σq² for κ = 3.09 \n", "ω = 0.43σq² for κ = 4.49 \n", "ω = 0.97σq² for κ = 3.69 \n", "ω = 0.76σq² for κ = 3.93 \n", "ω = 0.70σq² for κ = 4.01 \n", "ω = 0.71σq² for κ = 4.00 \n", "Agg. Capacity = 0.34 bits, Idio. Capacity = 3.66 bits" ] } ], "cell_type": "code", "source": [ "ω_κ4 = MW(4,α,A,Qq,Qz,H,H);\n", "\n", "agg_κ4, err = agg_drip(ω_κ4,A,Qq,α,H; H0 = rand(L), maxit = 500, w = 0.95)\n", "idi_κ4 = solve_drip(ω_κ4,1,A,Qz,H,w = 0.9)\n", "\n", "@printf(\"Agg. Capacity = %.2f bits, Idio. Capacity = %.2f bits\",\n", " DRIPs.capacity(agg_κ4),DRIPs.capacity(idi_κ4));" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "For $\\kappa=5$:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ω = 0.10σq² for κ = 6.14 \n", "ω = 0.20σq² for κ = 5.29 \n", "ω = 0.23σq² for κ = 5.12 \n", "ω = 0.26σq² for κ = 5.02 \n", "ω = 0.26σq² for κ = 5.00 \n", "Agg. Capacity = 0.70 bits, Idio. Capacity = 4.30 bits" ] } ], "cell_type": "code", "source": [ "ω_κ5 = MW(5,α,A,Qq,Qz,H,H; ω = 0.1*σq^2);\n", "\n", "agg_κ5, err = agg_drip(ω_κ5,A,Qq,α,H; H0 = rand(L), maxit = 500, w = 0.95)\n", "idi_κ5 = solve_drip(ω_κ5,1,A,Qz,H,w = 0.9)\n", "\n", "@printf(\"Agg. Capacity = %.2f bits, Idio. Capacity = %.2f bits\",\n", " DRIPs.capacity(agg_κ5),DRIPs.capacity(idi_κ5));" ], "metadata": {}, "execution_count": 12 }, { "cell_type": "markdown", "source": [ "Plot IRFs:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=4}", "image/png": 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\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", " \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", " \n", " \n", " \n", " \n", " \n", "\n" ] }, "metadata": {}, "execution_count": 13 } ], "cell_type": "code", "source": [ "airfs_κ4 = dripirfs(agg_κ4, T = L);\n", "airfs_κ5 = dripirfs(agg_κ5, T = L);\n", "\n", "plot(1:L,0.75*[σq*H,airfs.a[1,1,:],airfs_κ4.a[1,1,:],airfs_κ5.a[1,1,:]],\n", " label = [\"Perfect information\" L\"Rational inattention, benchmark economy, $\\kappa = 3$\" L\"Rational inattention $\\kappa = 4$\" L\"Rational inattention $\\kappa = 5$\"],\n", " marker = [:circle :square :x :circle],\n", " color = [:black :gray20 :gray40 :gray60],\n", " markercolor = [:black false :gray40 false],\n", " markerstrokecolor = [:black :gray20 :gray40 :gray60],\n", " markersize = [3 7 7 7],\n", " xlim = (0,L+1),\n", " lw = 1,\n", " xticks = 1:2:21,\n", " legend = :topright,\n", " legendfont = font(11),\n", " tickfont = font(11),\n", " size = (1000,275),\n", " ylim = (0,σq),\n", " framestyle = :box,\n", " xlabel = \"Periods\",\n", " ylabel = \"Impulse responses to shocks \\n of one standard deviation\")" ], "metadata": {}, "execution_count": 13 }, { "cell_type": "markdown", "source": [ "## Measure Performance/Speed\n", "### Performance of the code for aggregate problem with feedback" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "For random values of $\\omega$ and benchmark values of other parameters:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "BenchmarkTools.Trial: \n memory estimate: 412.39 MiB\n allocs estimate: 186248\n --------------\n minimum time: 747.533 ms (5.06% GC)\n median time: 837.924 ms (5.84% GC)\n mean time: 848.717 ms (5.57% GC)\n maximum time: 980.326 ms (5.08% GC)\n --------------\n samples: 7\n evals/sample: 1" }, "metadata": {}, "execution_count": 14 } ], "cell_type": "code", "source": [ "using BenchmarkTools;\n", "@benchmark agg_drip(ω,A,Qq,α,H; H0 = rand(L), maxit = 100, w = 0.95) setup = (ω = σq^2*5*rand())" ], "metadata": {}, "execution_count": 14 }, { "cell_type": "markdown", "source": [ "For $\\alpha=0.7$ and random values of $\\omega$:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "BenchmarkTools.Trial: \n memory estimate: 64.23 MiB\n allocs estimate: 27598\n --------------\n minimum time: 96.247 ms (6.60% GC)\n median time: 128.557 ms (7.62% GC)\n mean time: 129.591 ms (7.55% GC)\n maximum time: 173.968 ms (7.48% GC)\n --------------\n samples: 39\n evals/sample: 1" }, "metadata": {}, "execution_count": 15 } ], "cell_type": "code", "source": [ "@benchmark agg_drip(ω_α7,A,Qq,0.7,H; H0 = rand(L), maxit = 100, w = 0.95) setup = (ω = σq^2*5*rand())" ], "metadata": {}, "execution_count": 15 }, { "cell_type": "markdown", "source": [ "### Performance of the code for idiosyncratic problem" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "BenchmarkTools.Trial: \n memory estimate: 12.94 MiB\n allocs estimate: 6135\n --------------\n minimum time: 26.657 ms (0.00% GC)\n median time: 31.579 ms (0.00% GC)\n mean time: 31.680 ms (2.86% GC)\n maximum time: 38.596 ms (10.56% GC)\n --------------\n samples: 158\n evals/sample: 1" }, "metadata": {}, "execution_count": 16 } ], "cell_type": "code", "source": [ "@benchmark solve_drip(ω,1,A,Qz,H,w = 0.9) setup = (ω = σq^2*5*rand())" ], "metadata": {}, "execution_count": 16 }, { "cell_type": "markdown", "source": [ "---\n", "\n", "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" ], "metadata": {} } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.3.1" }, "kernelspec": { "name": "julia-1.3", "display_name": "Julia 1.3.1", "language": "julia" } }, "nbformat": 4 }