dual-numbers-and-gradient/dual-numbers-and-gradient-descent.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dual numbers and gradient descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dual numbers are very interesting constructs. They can be implemented in Julia without much overhead. You can read more about them here: [wikipedia](https://en.wikipedia.org/wiki/Dual_number#Differentiation), [DualNumbers.jl package](https://github.com/JuliaDiff/DualNumbers.jl), [Alan Edelman - automatic differentiation](https://github.com/alanedelman/YouTubeNotebooks/blob/master/Automatic%20Differentiation%20in%2010%20Minutes.ipynb)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots\n",
    "pyplot()\n",
    "Plots.PyPlotBackend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dual"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define Dual datatype, \n",
    "# it could be done in more efficient way\n",
    "struct Dual <: Number\n",
    "    x\n",
    "    y\n",
    "end\n",
    "# outer constructor\n",
    "Dual(x) = Dual(x, zero(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dual"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import Base: +, -, *, /\n",
    "# overwrite arithmetic operators\n",
    "+(a::Dual, b::Dual) = Dual(a.x + b.x, a.y + b.y)\n",
    "-(a::Dual, b::Dual) = Dual(a.x - b.x, a.y - b.y)\n",
    "*(a::Dual, b::Dual) = Dual(a.x * b.x, a.y * b.x + b.y * a.x)\n",
    "/(a::Dual, b::Dual) = Dual(a.x / b.x, (a.y * b.x  + b.y * a.x) / (b.x)^2 )\n",
    "\n",
    "# make them compatible with numbers\n",
    "import Base: promote_rule, convert\n",
    "convert(::Type{Dual}, x::T) where T <: Number = Dual(x)\n",
    "promote_rule(::Type{Dual}, ::Type{T}) where T <: Number = Dual\n",
    "Dual(x::Dual) = x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "∇ (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# by the definition of dual numbers,\n",
    "# ∇ should return the gradient of a polynomial function f(x,y)\n",
    "∇(f) = (x,y) -> [f(Dual(x,1),y).y , f(x, Dual(y,1)).y ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Array{Int64,1}:\n",
       "  2\n",
       " 12"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(x,y) = 2x + y^3\n",
    "∇(f)(5,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "grad_descent (generic function with 1 method)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function grad_descent(f,τ, num_steps; plot=true)\n",
    "    min_point = rand(2)\n",
    "    if plot\n",
    "        scatter(Tuple(min_point),legend=false)\n",
    "    end\n",
    "    \n",
    "    for i in 1:num_steps\n",
    "        min_point -= τ * ∇(f)(min_point...)\n",
    "\n",
    "        if plot && i % 10 == 0\n",
    "            scatter!(Tuple(min_point),legend=false)\n",
    "        end\n",
    "    end\n",
    "    min_point\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
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     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g(x,y) = 4(x-6)^2 + (y-6)^2\n",
    "grad_descent(g, 0.01, 10^2)\n",
    "\n",
    "contour!(-10:10,-20:20, g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can try to use our functions to search for the best linear fit. (linear regression)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
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      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# dummy data of length n\n",
    "n = 20\n",
    "data =  [0.2*i + 0.1 * i^2 * randn() + rand() for i in 1:20]\n",
    "scatter(data, label=\"data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
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"
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# cost function\n",
    "# model: y = ax + b\n",
    "cost(a,b) = sum([ (a*i + b - data[i])^2 for i in 1:n ])\n",
    "# how does it look like?\n",
    "surface(-7:0.5:7, -7:0.5:7, cost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "f (generic function with 2 methods)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a,b = grad_descent(cost, 0.0001, 10^4)\n",
    "# our model\n",
    "f(x) = a*x + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(data, label=\"data\")\n",
    "plot!(0:0.1:n,f, label=\"f\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thanks for reading."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.4.0",
   "language": "julia",
   "name": "julia-1.4"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.4.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}