validation-part5.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pad (generic function with 1 method)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# NOTE: To run the experiments for the regular HGF you must have to kill Julia first (this happens due to compatibility issues)\n",
    "# Then start running the code from this block\n",
    "using ForneyLab\n",
    "include(\"gcv/GCV.jl\")\n",
    "using Main.GCV\n",
    "using CSV\n",
    "using DataFrames\n",
    "using Plots\n",
    "using StatsPlots\n",
    "using ProgressMeter\n",
    "include(\"compatibility.jl\")\n",
    "\n",
    "# Auxialry function for graph initializtion\n",
    "pad(sym::Symbol, t::Int) = sym*:_*Symbol(lpad(t,3,'0')) # Left-pads a number with zeros, converts it to symbol and appends to sym"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# required data\n",
    "using CSV, DataFrames\n",
    "df = CSV.File(\"data/AAPL.csv\") |> DataFrame\n",
    "series = df[!, :Open];"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2-L HGF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pad (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Auxialry function for graph initializtion\n",
    "pad(sym::Symbol, t::Int) = sym*:_*Symbol(lpad(t,3,'0')) # Left-pads a number with zeros, converts it to symbol and appends to sym"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "using CSV, DataFrames\n",
    "df = CSV.File(\"data/AAPL.csv\") |> DataFrame\n",
    "series = df[!, :Open];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "mp (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using ForneyLab\n",
    "using ProgressMeter\n",
    "\n",
    "# Function for generating 2-L HGF and message-passing (MP) algorithm\n",
    "function generate_mp(n_samples)\n",
    "    fg = FactorGraph()\n",
    "    z = Vector{Variable}(undef, n_samples)\n",
    "    x = Vector{Variable}(undef, n_samples)\n",
    "    y = Vector{Variable}(undef, n_samples)\n",
    "\n",
    "    @RV ω ~ GaussianMeanPrecision(placeholder(:mω), placeholder(:wω))\n",
    "    @RV [id=pad(:z,1)] z[1] ~ GaussianMeanPrecision(placeholder(:mz_prior1), placeholder(:wz_prior1))\n",
    "    @RV [id=pad(:x,1)] x[1] ~ GaussianMeanPrecision(placeholder(:mx_prior1), placeholder(:wx_prior1))\n",
    "    @RV [id=pad(:y,1)] y[1] ~ GaussianMeanPrecision(x[1], placeholder(:wy_prior1))\n",
    "    placeholder(y[1], :y, index = 1)\n",
    "    for t in 2:n_samples\n",
    "        @RV [id=pad(:z,t)] z[t] ~ GaussianMeanPrecision(z[t - 1], placeholder(pad(:wz_transition, t)))\n",
    "        @RV [id=pad(:x,t)] x[t] ~ GaussianControlledVariance(x[t - 1], z[t], 1.0, ω)\n",
    "        @RV [id=pad(:y,t)] y[t] ~ GaussianMeanPrecision(x[t], placeholder(pad(:wy_transition, t)))\n",
    "        placeholder(y[t], :y, index = t)\n",
    "    end\n",
    "    q = PosteriorFactorization(x, z, ω, ids=[:X :Z :Ω])\n",
    "    algo = messagePassingAlgorithm(free_energy=true)\n",
    "    src_code = algorithmSourceCode(algo, free_energy=true);\n",
    "    return src_code\n",
    "end\n",
    "\n",
    "# Function for running MP-based inference for 2-L HGF\n",
    "function mp(obs;\n",
    "    n_its = 100,\n",
    "    wy_prior1 = 1.0,\n",
    "    ω_m_prior = omega,\n",
    "    ω_w_prior = 1.0,\n",
    "    z_m_prior = 0.0,\n",
    "    z_w_prior = 100.0,\n",
    "    x_m_prior = 0.0,\n",
    "    x_w_prior = 1.0,\n",
    "    x_x_m_prior = zeros(2),\n",
    "    x_x_w_prior = 1.0*diageye(2),\n",
    "    z_z_m_prior = zeros(2),\n",
    "    z_z_w_prior = 100.0*diageye(2),\n",
    "    z_w_transition_prior = 1000.0,\n",
    "    y_w_transition_prior =  1/mnv,\n",
    ")\n",
    "    n_samples = length(obs)\n",
    "    marginals = Dict()\n",
    "    marginals[:ω] = ProbabilityDistribution(ForneyLab.Univariate, GaussianMeanPrecision, m = ω_m_prior, w = ω_w_prior)\n",
    "    marginals[pad(:z,1)] = vague(GaussianMeanPrecision)\n",
    "    marginals[pad(:x,1)] = vague(GaussianMeanPrecision)\n",
    "    for t = 2:n_samples\n",
    "        marginals[pad(:z,t)] = ProbabilityDistribution(ForneyLab.Univariate, GaussianMeanPrecision, m = z_m_prior, w = z_w_prior)\n",
    "        marginals[pad(:x,t)] = ProbabilityDistribution(ForneyLab.Univariate, GaussianMeanPrecision, m = x_m_prior, w = x_w_prior)\n",
    "        marginals[pad(:z,t)*:_*pad(:z,t-1)] = ProbabilityDistribution(ForneyLab.Multivariate,GaussianMeanPrecision, m = z_z_m_prior, w = z_z_w_prior)\n",
    "        marginals[pad(:x,t)*:_*pad(:x,t-1)] = ProbabilityDistribution(ForneyLab.Multivariate,GaussianMeanPrecision, m = x_x_m_prior, w = x_x_w_prior)\n",
    "    end\n",
    "    data = Dict()\n",
    "    data[:y] = obs\n",
    "    data[:mz_prior1] = z_m_prior\n",
    "    data[:wz_prior1] = z_w_prior\n",
    "    data[:mx_prior1] = x_m_prior\n",
    "    data[:wx_prior1] = x_w_prior\n",
    "    data[:wy_prior1] = wy_prior1\n",
    "    data[:mω] = ω_m_prior\n",
    "    data[:wω] = ω_w_prior\n",
    "    for t = 1:n_samples\n",
    "        data[pad(:wz_transition, t)] = z_w_transition_prior\n",
    "        data[pad(:wy_transition, t)] = y_w_transition_prior\n",
    "    end\n",
    "\n",
    "\n",
    "    fe = Vector{Float64}(undef, n_its)\n",
    "\n",
    "    @showprogress \"Iterations\" for i = 1:n_its\n",
    "\n",
    "        stepX!(data, marginals)\n",
    "        stepZ!(data, marginals)\n",
    "        stepΩ!(data, marginals)\n",
    "\n",
    "        fe[i] = freeEnergy(data, marginals)\n",
    "    end\n",
    "\n",
    "    mz = [ForneyLab.unsafeMean(marginals[pad(:z,t)]) for t=1:n_samples]\n",
    "    vz = [ForneyLab.unsafeVar(marginals[pad(:z,t)]) for t=1:n_samples]\n",
    "    mω = ForneyLab.unsafeMean(marginals[:ω])\n",
    "    vω = ForneyLab.unsafeCov(marginals[:ω])\n",
    "    mx = [ForneyLab.unsafeMean(marginals[pad(:x,t)]) for t=1:n_samples]\n",
    "    vx = [ForneyLab.unsafeVar(marginals[pad(:x,t)]) for t=1:n_samples]\n",
    "    return mz,vz,mω, vω, mx,vx,fe\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "ename": "UndefVarError",
     "evalue": "UndefVarError: `series` not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: `series` not defined\n",
      "\n",
      "Stacktrace:\n",
      " [1] top-level scope\n",
      "   @ c:\\xampp\\htdocs\\SGCV\\validation-part5.ipynb:3"
     ]
    }
   ],
   "source": [
    "omega  = 1.0\n",
    "kappa = 1.0\n",
    "src_code = generate_mp(length(series))\n",
    "eval(Meta.parse(src_code));\n",
    "mz0, vz0, mω0, vω0, mx0,vx0,fe0 = mp(series, x_m_prior=series[1], z_z_w_prior=100.0 * diageye(2), z_w_transition_prior=100.0, ω_m_prior=omega, ω_w_prior=1.0, y_w_transition_prior=1.0);\n",
    "\n",
    "results =   Dict(\"mz\" => mz0, \"vz\" => vz0,\n",
    "                 \"mx\" => mx0, \"vx\" => vx0,\n",
    "                 \"fe\" => fe0,\n",
    "                 \"mω\" => mω0, \"vω\" => vω0,\n",
    "                 \"ωprior\" => omega)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "using JLD\n",
    "JLD.save(\"dump/results_hgf_stocks_mixture.jld\", \"results\", results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
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      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(series, background_color=:grey95, xlabel=:Day, ylabel=\"Price \\$\", label=\"APPL\")\n",
    "plot!(mx0, ribbon=sqrt.(vx0), label=false)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to /Users/jared/Downloads/SGCV/tmp.gif\n"
     ]
    },
    {
     "data": {
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\" />"
      ],
      "text/plain": [
       "Plots.AnimatedGif(\"/Users/jared/Downloads/SGCV/tmp.gif\")"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shift = 10\n",
    "@gif for i in 1:length(series)\n",
    "    scatter(series[1:i], markershape=:xcross, markersize=1.5, markeralpha=0.5, xlim = (0, length(series)), ylim = (minimum(series)-shift, maximum(series)+shift), label=\"APPL\", xlabel=:Day, ylabel=\"Price \\$\", background_color=:grey95)\n",
    "#     scatter(series[1:i], markershape=:xcross, markersize=1.5, markeralpha=0.5, xlim = (0, length(series)), ylim = (minimum(series)-shift, maximum(series)+shift), label=:APPL, xlabel=:Day, ylabel=\"Price \\$\", background_color=:grey95)\n",
    "    plot!(mx0[1:i], ribbon=sqrt.(vx0[1:i]), label=false)\n",
    "end every 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to /Users/jared/Downloads/SGCV/tmp.gif\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img 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\" />"
      ],
      "text/plain": [
       "Plots.AnimatedGif(\"/Users/jared/Downloads/SGCV/tmp.gif\")"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shift = 1\n",
    "@gif for i in 1:length(series)\n",
    "    plot(mz0[1:i], ribbon=sqrt.(vz0[1:i]), label=false, xlim = (0, length(series)), ylim = (minimum(mz0)-shift, maximum(mz0)+shift) ,background_color=:grey95)\n",
    "end every 1"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.9.3",
   "language": "julia",
   "name": "julia-1.9"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.9.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}