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IJulia notebook demonstrating overfitting, underfitting, regularization and dropout
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Underfitting, overfitting, regularization, dropout"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load and minibatch MNIST data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[1m\u001b[34mINFO: Knet using GPU 1\n",
"\u001b[0m"
]
}
],
"source": [
"using Knet, Plots"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[1m\u001b[34mINFO: Loading MNIST...\n",
"\u001b[0m"
]
},
{
"data": {
"text/plain": [
"(600,100)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(Knet.dir(\"examples\",\"mnist.jl\"))\n",
"MNIST.loaddata()\n",
"using MNIST: xtrn,ytrn,xtst,ytst,minibatch\n",
"Atype = gpu() >= 0 ? KnetArray{Float32} : Array{Float32}\n",
"dtst = minibatch(xtst,ytst,100;atype=Atype) # [ (x1,y1), (x2,y2), ... ] where xi,yi are minibatches of 100\n",
"dtrn = minibatch(xtrn,ytrn,100;atype=Atype) # [ (x1,y1), (x2,y2), ... ] where xi,yi are minibatches of 100\n",
"length(dtrn),length(dtst)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x00000002050e0000,313600,1,nothing),(784,100)),Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x00000002051e0000,4000,1,nothing),(10,100)))"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(x,y)=dtst[1]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"784×100 Knet.KnetArray{Float32,2}:\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
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" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" ⋮ ⋮ ⋮ ⋱ ⋮ ⋮ \n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(x)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"10×100 Knet.KnetArray{Float32,2}:\n",
" 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 … 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0\n",
" 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 … 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0\n",
" 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0\n",
" 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Define linear model"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"winit1 (generic function with 1 method)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function linear(w,x)\n",
" y = w[1]*x .+ w[2]\n",
"end\n",
"\n",
"winit1()=map(Atype, [ 0.1*randn(10,784), zeros(10,1) ])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"srand(9)\n",
"w = winit1() # random weight matrix and a zero bias vector"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"10×100 Knet.KnetArray{Float32,2}:\n",
" 0.20949 0.204775 -0.932485 -0.97682 0.694272 … -0.332532 -0.510457 -1.40151 -0.76995 -0.152675\n",
" 0.455851 -0.707735 -0.22817 -0.0821219 1.12012 0.259282 -0.132053 -0.523914 0.0569146 0.522016\n",
" -0.00504193 -2.14745 0.0253635 -1.09536 -1.06499 1.02387 -0.0384934 -0.288532 -0.825279 -1.07451 \n",
" 1.32813 -1.03565 0.237599 0.136671 0.455203 0.508845 -0.0922899 0.607264 0.487591 -0.231088\n",
" 0.351397 -0.638922 -1.09847 -0.554185 -0.654054 -0.296868 -0.580158 0.316118 -0.460735 -1.00915 \n",
" -0.180563 -0.725433 -0.8814 -0.572751 -0.506427 … -1.66223 0.277045 -1.90686 0.0757486 -1.3144 \n",
" 0.370442 0.0319697 -0.865752 -0.644942 0.797276 -0.762742 -0.698524 -1.2362 0.79252 0.637139\n",
" -0.105419 0.478139 0.305943 0.828578 0.245938 0.900937 0.494892 0.516854 1.07525 1.38668 \n",
" -0.714492 -1.24502 -0.0765007 -0.646126 0.364152 1.02073 0.343257 -0.0855907 -0.0235416 0.26818 \n",
" 1.73877 2.96371 0.476608 3.17109 1.55325 3.84604 0.38543 2.12461 1.48999 2.68136 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ypred=linear(w,x)\n",
"display(ypred)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"10×100 Knet.KnetArray{Float32,2}:\n",
" 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 … 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0\n",
" 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
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" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 … 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0\n",
" 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0\n",
" 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Measuring error rate"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"10.0f0"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(y .* (ypred .== maximum(ypred,1))) # number of correct answers in this batch of 100 with initial w"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"zeroone (generic function with 1 method)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function zeroone(w,data,model)\n",
" ncorr = ninst = 0\n",
" for (x,y) in data\n",
" ypred = model(w,x)\n",
" ncorr += sum(y .* (ypred .== maximum(ypred,1)))\n",
" ninst += size(x,2)\n",
" end\n",
" return 1 - ncorr/ninst\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.9029f0"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"zeroone(w,dtst,linear) # number of errors in the whole test dataset"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Measuring loss"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"softloss (generic function with 1 method)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Calculate cross entropy loss of a model with weights w for one minibatch (x,p)\n",
"# Use non-zero l1 or l2 for regularization\n",
"function softloss(w,x,p,model;l1=0,l2=0,o...) \n",
" y = model(w,x;o...)\n",
" y = y .- maximum(y,1) # for numerical stability\n",
" expy = exp(y)\n",
" logphat = y .- log(sum(expy,1))\n",
" J = -sum(p .* logphat) / size(x,2) # dividing by number of instances for per-instance average\n",
" if l1 != 0; J += l1 * sum(sumabs(wi) for wi in w[1:2:end]); end\n",
" if l2 != 0; J += l2 * sum(sumabs2(wi) for wi in w[1:2:end]); end\n",
" return J\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.8222036f0"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"softloss(w,x,y,linear) # per-instance average softloss for the first test minibatch"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"avgloss (generic function with 1 method)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function avgloss(w,data,model) # average loss for the whole dataset\n",
" sum = cnt = 0\n",
" for (x,y) in data\n",
" sum += softloss(w,x,y,model)\n",
" cnt += 1\n",
" end\n",
" return sum/cnt\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.8204281f0"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"avgloss(w,dtst,linear) # per-instance average softloss for the whole test set"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Manually defined gradient for softloss"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"grad1 (generic function with 1 method)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function grad1(w,x,p,model)\n",
" y = model(w,x)\n",
" y = y .- maximum(y,1) # for numerical stability\n",
" expy = exp(y)\n",
" q = expy ./ sum(expy,1)\n",
" dJdy = (q - p) / size(x,2)\n",
" dJdw = dJdy * x'\n",
" dJdb = sum(dJdy,2)\n",
" Any[dJdw,dJdb]\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Automatically defined gradient for softloss"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(::gradfun) (generic function with 1 method)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"softgrad = grad(softloss) # Knet/AutoGrad makes life easier :)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2-element Array{Any,1}:\n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x0000000213defc00,31360,1,nothing),(10,784))\n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x0000000213f06e00,40,1,nothing),(10,1)) "
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"g1 = grad1(w,x,y,linear)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2-element Array{Any,1}:\n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x0000000213df7800,31360,1,nothing),(10,784))\n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x0000000213f07000,40,1,nothing),(10,1)) "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"g2 = softgrad(w,x,y,linear)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"true"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"isapprox(g1[1],g2[1])"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"true"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"isapprox(g1[2],g2[2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Checking the gradient"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"10×1 Knet.KnetArray{Float32,2}:\n",
" -0.0921664 \n",
" -0.00683322\n",
" -0.0612594 \n",
" -0.0592853 \n",
" -0.0203152 \n",
" -0.0529135 \n",
" -0.0752202 \n",
" 0.0736465 \n",
" -0.0507283 \n",
" 0.345075 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(g1[2]) \n",
"# Meaning of gradient:\n",
"# If I move the last entry of w[2] by epsilon, loss will go up by 0.345075 epsilon!"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"10×1 Knet.KnetArray{Float32,2}:\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(w[2])"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.8222036f0"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"softloss(w,x,y,linear)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.1"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"w[2][10] += 0.1 # to numerically check the gradient let's move the last entry by +0.1."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.857739f0"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"softloss(w,x,y,linear) \n",
"# We see that the loss moves by +0.03 as expected.\n",
"# You should check all/most entries in your gradients this way to make sure they are correct."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training loop (SGD)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"train (generic function with 1 method)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Train model(w) with SGD and return a list containing w for every epoch\n",
"function train(w,data,model; epochs=100,lr=0.5,o...)\n",
" weights = Any[copy(w)]\n",
" for epoch in 1:epochs\n",
" for (x,y) in data\n",
" g = softgrad(w,x,y,model;o...)\n",
" for i in 1:length(w)\n",
" w[i] = w[i] - lr * g[i]\n",
" end\n",
" end\n",
" push!(weights,copy(w))\n",
" end\n",
" return weights\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training the linear model"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 24.310214 seconds (36.33 M allocations: 1.479 GB, 1.26% gc time)\n",
" 9.393334 seconds (8.10 M allocations: 232.001 MB, 0.77% gc time)\n",
" 1.518039 seconds (1.28 M allocations: 37.462 MB, 0.44% gc time)\n",
" 7.762920 seconds (5.01 M allocations: 139.366 MB, 0.53% gc time)\n",
" 1.351609 seconds (833.00 k allocations: 23.724 MB, 0.49% gc time)\n"
]
},
{
"data": {
"text/plain": [
"(0.29008836f0,0.081499994f0)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"srand(1)\n",
"@time trn1=train(winit1(),dtrn,linear)\n",
"@time trnloss1 = [ avgloss(w,dtrn,linear) for w in trn1 ]\n",
"@time tstloss1 = [ avgloss(w,dtst,linear) for w in trn1 ]\n",
"@time trnerr1 = [ zeroone(w,dtrn,linear) for w in trn1 ]\n",
"@time tsterr1 = [ zeroone(w,dtst,linear) for w in trn1 ]\n",
"minimum(tstloss1),minimum(tsterr1)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"101"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"length(trn1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overfitting and underfitting"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[1m\u001b[31mWARNING: No working GUI backend found for matplotlib\u001b[0m\n"
]
},
{
"data": {
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\" />"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnloss1 tstloss1],ylim=(.2,.36),labels=[:trnloss :tstloss],xlabel=\"Epochs\",ylabel=\"Loss\") \n",
"# Demonstrates both overfitting and underfitting\n",
"# Overfitting: test loss is higher than training loss and getting worse\n",
"# Underfitting: training loss not close to 0"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"sys:1: MatplotlibDeprecationWarning: The set_axis_bgcolor function was deprecated in version 2.0. Use set_facecolor instead.\n"
]
},
{
"data": {
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\" />"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnerr1 tsterr1],ylim=(.06,.10),labels=[:trnerr :tsterr],xlabel=\"Epochs\",ylabel=\"Error\") \n",
"# this is the error plot, we get to about 8% error, i.e. 92% accuracy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Linear model with L2 regularization"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 32.611583 seconds (46.33 M allocations: 1.916 GB, 1.49% gc time)\n",
" 9.052457 seconds (7.99 M allocations: 226.214 MB, 0.94% gc time)\n",
" 1.522177 seconds (1.28 M allocations: 37.471 MB, 0.60% gc time)\n",
" 7.759384 seconds (4.99 M allocations: 138.854 MB, 0.70% gc time)\n",
" 1.319362 seconds (833.13 k allocations: 23.730 MB, 1.05% gc time)\n"
]
},
{
"data": {
"text/plain": [
"0.28904447f0"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let us try L2 regularization to address overfitting\n",
"srand(1)\n",
"@time trn2=train(winit1(),dtrn,linear;l2=0.00004)\n",
"@time trnloss2 = [avgloss(w,dtrn,linear) for w in trn2]\n",
"@time tstloss2 = [avgloss(w,dtst,linear) for w in trn2]\n",
"@time trnerr2 = [zeroone(w,dtrn,linear) for w in trn2]\n",
"@time tsterr2 = [zeroone(w,dtst,linear) for w in trn2]\n",
"minimum(tstloss2)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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d955J4MGDWLo0KFnPYff7+eWW24hMTGRZcuWhQJcY5CAJYQQQohGNXfuXMaNG4fD4SAtLe2Cj/Pmm28ya9YsFi9ejKIoLF++nHbt2rFq1Srmz5+PYRj4/X6mTp1KZmYmTz31FCtWrMBisaDrOkuWLAkd69///ne1S5A333wz/fv35+9//zuZmZn069cPgGHDhvHSSy9d+JcvpxiG0WIHJTmdTuLi4igqKiI2Ntil+frjb2H3xHDTryY2c+0iV13tIi5f0l7hRdorvFxse+Xm5nLHHXewYsUKevTo0QQ1FBV27NjB6NGjWbVqFQMGDAiV19eGMk2DEEIIIUQjk4AlhBBCCNHIIi5gKeX/CSGEEEI0lYgLWIbMgyWEEEKIJhZxAUsIIYQQoqlFXMBSUKQPSwghhBBNKuIClslQ0BWJWEIIIYRoOhEXsKxoBBTwBnzNXRUhhBCiRVqwYAFut/us2yxatIjjx49X2+eBBx5o9LooikJhYWGt8h//+Md069aNvn37MmzYMDZu3Nio5424gGVDA+BE6elmrokQQgjRMi1cuPC8A9al9v3vf5+dO3eyZcsW5s+fz0033dSox4+4gGVXVBQD9hQWNHdVhBBCiBZn1qxZAIwYMYKsrCx+85vf0KtXL7KysujTpw/r16/n8ccf5+jRo0yZMoWsrCxycnKqHSMQCPDggw/Su3dvevfuzezZs/F6vQAsX7681vF0Xef++++nZ8+e9O3bl/79+58z4E2ePBmTKfjEwMGDB3PkyJEGPXC6oSLuWYQONdiDta/wNFe1a+bKCCGEEE3AfdqL3xVo9OOa7Bq2JMtZt1myZAlLly5l7dq1xMfHExcXR25uLqmpqfh8PjweD1deeSWvvPIKb731FllZWQCsXLkydIxly5axceNGNm3ahKZpTJ48meeee4558+Yxd+7cWsfbsmULH3/8MTt27EBVVYqKirBYzl7Pqp5//nkmTpwYClyNIeICllVVUdA5VCyXCIUQQrQ8vhI/3zz5X5rklnkVrlzQE3N0w+PD1VdfzdSpU5k0aRITJkygW7du59xn9erVTJs2DavVCsCMGTN46aWXmDdvXp3H69SpE36/n+nTpzNmzBiuu+46VLVhF+lWrFjBX//6Vz7//PMGf6eGiLiAZVJAMxSOyxgsIYQQLZA52sSA/9e9yXqwzidcAbzzzjts2rSJTz/9lIkTJ/LEE09wyy23nNcxFKXyCSz1HW/79u189tlnfPLJJ8yfP5/PP/+cLl26nPW4b731FgsXLuTjjz+mdevW51Wnc4m4gAXBgFXgljFYQgghWqZzXcZrajExMRQVFREdHc2BAwcYMGAAAwYMID8/nw0bNnDLLbcQGxtLUVFRnfuPHTuW119/ndtuuw1VVVm+fDnjx4/H7/fXebyrr74aTdMYP34848aN47PPPmPnzp1nDVh//etfeeSRR1i9ejXt2jX+mKGIC1gKwYBV7JEeLCGEEKIpzJ07l3HjxqFpGoqioKoqJpOJlJQUXn31VQDmzJnDjBkzcDgcvPbaa9X2nzlzJvv27SM7OxuA0aNH88ADDxAIBJg+fToFBQXVjpeXl8eMGTPw+XwEAgGGDRvGhAkTQse74oorqvWCHT58mNtvv502bdrwve99L1T+8ccfk5SU1Cg/g4gLWACaAR6/9GAJIYQQTeGxxx7jscceO+s2d999N3fffXfoc8VgdwBN03jmmWd45plnau1X11ip9PR0Nm3aVOd5DKPuwWg+X9POhxlx0zQAmFAx9IJ6f+hCCCGEEBcj8gKWAiYDFHw4vcXNXRshhBBCtECRF7AAE8HrsIecMg5LCCGEEI0vIgOWuTxg7T4jAUsIIUT40rTg5NnnmrVcXDyfz4dhGA2eXysiB7mbDAXDUPhOerCEEEKEsfbt2+NwOHj00Ue57777SE9PD4Uu0Xh8Ph/Lly+nrKyMNm3aNGifiAxYqgI+4jhSIncSCiGECF8Wi4U///nPLFy4kIcffri5q9OiaZqGy+UiOjq6QdtHZMAC8JPIqTLpwRJCCBHe2rZty5IlSzh9+jRnzpxB1/XmrlKLo6oq0dHRtG3btsH7RGzA0tREitwSsIQQQoQ/VVVJSUkhJSWluavSYjmdzvPaPuIGuSuqjmGYsJsTKfXJJUIhhBBCNL6IC1gWhx+fP4ZYSxJ+mc1dCCGEEE0g4gKWo7UdAxMdlGQUnHgDTTtVvhBCCCEiT+QFrIwEALq5zADky0B3IYQQQjSyiAtYUZ3bghGgfflTcvYUymVCIYQQQjSuiAtYpqRWmJQzJBUHH/S8t0h6sIQQQgjRuCIuYCmqhsVcjMUJAcNKnszmLoQQQohGFnEBC8Aa48dfZsZrJHKsVAKWEEIIIRpXRAYsW6IJny8KVUnitEvGYAkhhBCicUVkwHKkRgEabfxpFHukB0sIIYQQjSsyA1b7ZAA6euLwyGSjQgghhGhkkRmwOqaC4aODy4GuF2AYRnNXSQghhBAtSEQGLFNcMmalgLYuKwo+nN7i5q6SEEIIIVqQiAxYiqpisZYSX2YF4HCxjMMSQgghROOJyIAFYI0JYHM7ANhzRgKWEEIIIRpPxAYse5IZAlGoARPfyWSjQgghhGhEkRuw0mIAlVhPBodL5E5CIYQQQjSeiA1YUeVTNbRyp3FKZnMXQgghRCOK2IBl79AWxfDQ1p1EoUw2KoQQQohGFLEBS4uJx6wW0NYdR6lXLhEKIYQQovFEbMBSFAWLrYwUTwy+gAQsIYQQQjSeiA1YANZYg1hPDIrhxBvwNXd1hBBCCNFCRHTAsidbsARiMOtm8stkHJYQQgghGkdEByxHWgwAie5E9hfJZUIhhBBCNI6IDlhRHVoBkOxJYm+h9GAJIYQQonFEdMCytUtDMVwkuVpxSJ5HKIQQQohGEtEBS4uKxayeoZU7hWOlcolQCCGEEI0jogMWgNXuopU7kdMu6cESQgghROOQgBVnkOhNwOmRHiwhhBBCNI6ID1j2FCv2QDSG29ncVRFCCCFECxHxAcvRNg6AhDIFwzCauTZCCCGEaAkiPmBFdWwNQLInHqe3uJlrI4QQQoiWIOIDli2jLQYlJHuSOOw82dzVEUIIIUQLEPEBS7XaMauFJLmT2XB8T3NXRwghhBAtQMQHLACLzU1rVwrfHN/V3FURQgghRAsgAQuISlRI9iSy94wELCGEEEJcPAlYgKOVDYtuR3EVc6pMJhwVQgghxMWRgAVEZcQD0K40g60ndzZzbYQQQggR7iRgATFXtMdsHCP71JV8mieXCYUQQghxcSRgAebkVOIS8+hZ1IW9R/c3d3WEEEIIEeYkYJVLHd0BFYMORxIo85U1d3WEEEIIEcYkYJWLuXIYaLn0P53NjlO7m7s6QgghhAhjErDKqRYbljQ/bVxtyNkqlwmFEEIIceEkYFXR9tqBlGlFsMXf3FURQgghRBiTgFVF2x7dOeXYQcdTHfG4fc1dHSGEEEKEKQlYVSiKwpE2Vmy6jV2f72ju6gghhBAiTEnAqiF24HV8F72fU18XNHdVhBBCCBGmJGDVMLhjMrmxO7AXplB2yt3c1RFCCCFEGJKAVUOfBNgYa8ajujn20Z7mro4QQgghwpAErBo0VSHQajhbErdyYosLQzeau0pCCCGECDMSsOowOK0n3yRvQvfZKdie39zVEUIIIUSYkYBVh1Fpsey36hSbj3LwvYMYAenFEkIIIUTDScCqw+BWCgX0ZlX7f1NWYObQhwebu0pCCCGECCMSsOoQa1GIs/dgS9w+HJYvyfukCOcheQC0EEIIIRpGAlY9+qb0BMA5KQ6LcYT/Lt9FwKs3c62EEEIIEQ6aNGDt2bOHoUOH0q1bNwYOHMiOHbVnR//uu+/o378/WVlZ9O7dm5tuuokzZ86E1q9fv56+ffvSrVs3rrrqKo4cOdKUVQ4Znd4Gj57AZouHdtkn8JYo7P+rTNsghBBCiHNr0oB1zz33MHPmTHbv3s28efOYNm1arW3S0tJYt24dOTk5bN++nbS0NBYsWACAruvcfvvtLFq0iN27dzNx4kQeeOCBpqxyyLDWKgWBAaw5+AXJN08hKepLTmz2cmbnmXPvLIQQQoiI1mQB6+TJk3zzzTfccccdANx4443k5eWxd+/eattZrVbsdjsAgUCA0tJSFEUBYNOmTZhMJsaMGQMEA9v777+P2930M6x3iAG/eTTFnlNsPbOXjjOvwcYe/vv6fnyl/iY/vxBCCCHCl6mpDpyXl0dqaiomU/AUiqLQrl07Dh06RJcuXapt6/V6GTRoEAcPHiQzM5P33nsPgEOHDtG+ffvQdjExMcTGxnL06FE6depU65wejwePxxP67HQ6q72fr+GtO7H3RCr/yP0XXbJnkTZsEwfW+dm1fCvtf9QZRVUu6LiR7mLbRVxa0l7hRdorvEh7hQ9n4RliLCacRw4SyDeDz4PhceMsrPvKVpMFrPNhsVjIycnB6/Uye/Zsli5dykMPPXTex3nqqadYuHBhrfKMjIwLq1jX4WTMv5+PD7zJryY+jOH2s/L2WejMYvEdi3n0w0fRDRn4fqEuuF1Es5D2Ci/SXuFF2qvxmFWFKLMJh0XDYdKIsmjYTRpRFhMOk4bDohFl1nCYteB2oWUNu1nDYaosq1puM2ns/MnVsPRBSqucz+Wp+6qWYhhGk8yiefLkSbp06UJBQQEmkwnDMEhNTWXdunW1erCq+vrrr5kxYwbbtm1j48aNTJ06ldzcXACKi4tJTk6mqKgIm81Wa9+6erAyMjLIy8sjNjb2vL+DbkD2ByVkcC+z+05nfLvR6M4CTix9m1Ol44ntotL+1nYomvRknY+LbRdxaUl7hRdpr/ASye1l6HqwF8jrxvC6wevG8FRZrvIeXK6xbfnn0Da+4DKBwLlPbragWGxgtqJYbMFliw3FYg2+m62Vy+Uvd8Bg1uyfsuTlV3DEJ4b2L/b4aH9FX4qKiqq1YZP1YLVq1Yrs7GxWrFjBtGnTeOedd0hPT68Vrg4ePEhKSgoOhwNd13n77bfJzMwEoH///vh8Pj755BPGjBnD0qVLmTRpUp3hCoLjuaxWa63y2NjYC/6De1u3KD7MzWTNkS/5Ye/JEBtLzLwZmJ5bzrG9Y8lbkUevWb1QzTLjxfm6mHYRl560V3iR9govl3t7GboeDDEeF3r5u+Fxo3vKgqHI40L3uMrLq25TtdyN7nVhuF0YXheG13PuE5vMqFZ7MOSUv2s2O4rFjhITh1oRgKz24HbWykBU+bnmOiuKqp33z8DpdPLPvbcQmzW8Wltp9VzebdJLhEuXLmXatGk8+eSTxMbG8uqrrwLw6KOPkpaWxqxZs9i6dSsPP/wwELxrMDs7mxdeeAEAVVVZsWIF99xzD263m7S0NN54442mrHItU7uqLNs2hh35izhcfIz0mFS06Hg6/uInqM8v5eh3o9n+4jauuK8PmlVClhBCiOZnBAIYnrJQuNHdLozyMBQMRVUCkttVLfjoFQGoWvm5by5TzNZgCLLaUS1WFJujMvjEJFQJQeXblIcfxWqrLLfYgp8rApV2WYxkuiBNdonwcuB0OomLi6vVbXe+Br1bit11N3decT139b09VK573eQtXsrhw8OIam2i9+w+mBznn4ojTWO1i7g0pL3Ci7RXeKlor8IzZ4ixmYOhxhMMQ8FQ5AqFoKrLFSGpMjhV9hTpHhf4vGc/saqh2OyoliqBp7xnqOI9tN5WMxhVhiHV5giFogvpFQon9f3dqq88fKPhJTS1q43Fm4bx4b41/DjzVlQl2FOlWmy0m3Mv2tJlHNo3gE1PbKHbjzqT0D2umWsshBCiqRkBf2XYcZf3FrnLKj+Xh59geeV2wWAUfA+4Ssn9ydUUL7iF4rOdTFVRrI5guLHZUa3B3iHFZkeLia8MPuWBR63ae2RzlPcSOUJBCs0cmhJJNA0JWA1wS2eVR9ePId/1Ed+e2Eb/Nn1D6xSTmbY/mYXl7RUc+jqGHUvNtBloo+ONndEscslQCCEuJ4YeqHJprCwYdKqGI3dZee9RlfUVgahqeGpAL5FisVYJRRVgeIVbAAAgAElEQVThxoEal4SpVTqK1Y4Pjd8ueJynf7coOHC6Sg+RarOH9sdskUAUZiRgNUCKXWFY224UFaSxat+aagELQFE1Wk35EbH9t/Hdq2s4sXEEZ3K/pcddPYlp52imWgshRMth+H01Qk+NEOQuQ3eXhj5XD1DVe4/OpmIckWqPCgUixWrHFJ+MYnWg2ByVwcdW8dlRZdvKXqaGXDJzOp28fMNd/K7/VTjkkm6LIgGrge7sqvGLz8fw6aG3+dmge4gy1w5Oti596P5oF078+U3ytrRlyyITbYfHkDGxPSZby742LYQQdTEC/soA5CqtHoxcpZVhyVVaPTxV+ay7S8Hvq/8kqhoMOtVCTxSqIxZTYpvK3iN7VGUIqtiuvHepolzR5N9q0TgkYDXQpPYK9yoj8el/5tODX3Bdl3F1bqda7aROu5u47d+wf8VXHF03iOPrC0kf24q2o9NkOgchRFgwDCN4W355CNLdpcFlT1mVsorl0lAPUrWg5C7D8J3lVnxVRbVFVQacimAUHY8ppS2KLRiIqq6rvm15KLJY5fKZuOxIwGogu0nhhk7JbM3L5MP9H9cbsCo4eg+g12M9Ob3qHxz5wsPBVf04+skJ2k1Mo82QNjI5qRCiySiA4SrF73eVB6MqAcld33Jp9V4ldxmc5UkVoV4ge0XwKe8xSkqtEoJqBCR7VHA/ezAoKWYJRqLlkoB1HqZ2Vblx71jsp55h28ld9GnV86zbq/YoUn5wG4njC8l/7z2OfGNi398tHP73EdpelUarIa3l0qEQohpD18sHVZcHn4rwU/4e6iFylaK7Smr0HJUScJVy6KfXUPzUj+u+K62i18geVdkjZI/ClNg6GIiqltscoe2qLkfCLflCXCwJWOdhRBuFKNsgrKaOLMt5nRfGPdmg//vSouNpfdudJE/M58Tf3+f4dhv73zdz4J8nSO5jIf3azjha1z07vRAifAQvq3kw3MHwUxmGSsoDUTAEhQKRq/ay4XFBfdMTqlp5708UakXPkT0aU3JaqNyraMx5cB6Ll71MVGJyldAUDEjSayTEpSEB6zyoisIdXU28vutWPKeeZP3RzQxu27/B+2vxyaRN/zGti05z5tNPOP51Afk5vTm5ZQ/RKW5Sx7QjKStZerWEaCbBO9UqL6nprpJqvUi1QlH5e9Vl9Hqeg6aooctpqj26Ss9Rm2A4qugdqugxCgWp8wtHTqeTv+y4g6W9h2CTu9KEaDYSsM7TT3qqPLO1H/1jevHHLW8wKK1faOLRhtLikkj+3g9JmhSgbPs3nPjPek4fSWHPX23sffsYsWk+Wg1JJym7lYQtIRrIMIzal9YqAlIdQaj6cgmGu/Ssz0ZTLLZg+AkFoOjQYOzKwBQdGl8UWg5dVrNLz5EQEUQC1nlKj1aY0UNj5b5b6Vz2P3x68Auu6jDigo6lqBpRmVfSKfNK2p05RdHXX5H/zSmch1uz52829r5zgpjWHhL6JJHUPx17inTti5bL8HvRqw7GdpWU36VWUjnwusqlttD4I1dJqNep3kHZqhYMQfby4FPRQxSbGAxM9uClNrViIHZoObo8IDnC+ploQohLT/7FuADzs1T+mNuTK+OyeXnr/zGy3RBM6sX9KE0JKSRNmEzSBAgUnaZo/QZObTyB83gCB49ZOfjRHswWF7HpBon9Uknok4ol1txI30iIi2MEAvUOxA6NR6q4pb98ubJ3qXyeo7PMih2a+LHikpk9Gi0+ufaltBrbVPQgybgjIcSlJgHrArSNUpjZQ+WdfbfSVXuQVfvXMKnL+EY7vhaXROL4CSSOB91dRlnuDgo278H5nQ/nvlac3u+Ad4owm0uJSvYR0zGahMwMojsnocr0D+I8GT5vtZmwq106c5fhKSrgkeHdcP1jCb6Ar9YEkIarFMPrrv8EJnNlECoPParNgZaQUt6b5Kh+95q9SkAqv5tNJn8UQoQbCVgX6JdZKstyOzI8YTh/2voXxncYhdVkbfTzqDYH0VkDic4aCIBeWkzx1u0U7TxO8WEfZcdjKDwaTd6Xx4A8rNZi7PE+olKtRHdMJPaKdKyJMtC1pTEMA8Pnqf6MtHofH1LzMSIVl9uC6wicZYZsswXFamdsp1YEjh9EjYoNBqW45CpjjaoOzq56WS14p5tisly6H4wQQlwmJGBdoIperLf3TaGn6aes3LOKKT1vaPLzqlExxA0ZQtyQ4GdD1/EeP0LRlu8o/s5J2akArnwHhccdkBOAdw+iUorF4sQW7cOWqOJobcOeFou9bSKW5GQUe7RcPmlihmGAz4vudWF43MFg5HFhlL90jzsYjirK3JXLoYfN1ngYLXr9k0BW3s5f8SiQqCoPmc2ofM5axTZV5j0KXWazOVBMZpxOJ6Pj4igq+iexcleaEEI0iASsi/DLLJU//jeV1KSreXPH37i+y/g6n1HYlBRVxZqWQau0DFpVKQ+UuSjZfYjivfm4TpThOgOukiiKCmIw9lb0KJSgGscwK4WYLaWYbT4sUTqWaAVLvBlrghVLQhRadEyNSzwOFIsdRW0Zj/0xDAMCPgyfL9gr5PPWfvd6go8N8XkwvB70qp89FeXuYFDyuoLrPG50bzBMGV732QMRgGYKhqGKZ6OVL6s2B0pcUuiBspXPUavycNlQSLKj2qLAZJbQLIQQzUgC1kWo6MX6y94f0tfyGX/MWcEDA2c2d7UA0Bx24rK6E5fVvVq5YRh4TpdRlnca1zEn7lMm3AVxeJxxlLhM+JxWoMp4FyOARikqR9AoRqMk+G6Uopm8aCYfmiWAyaKjWQ1MVgPVbEIxmVHMFhSTGTRTcNbn8ndvIMC8oV1xr/4zhs0G5dNcKNWmuzBC9Q0u6MGAYhgYeqB8WQ8uBwIYgQDoAYyAHwJ+jPIXgQCG34vh94Hfh1HxqghUfu9ZB1fXyWxBMVtQLbbg4GmrLXgLv8WGYrGiRccFg5DFGgxJFlt5MLKhWuyh7SsDkz24nUluWhBCiJZCAtZF+mVflWW5SXRIm8q7u19mePogBqRmNXe16qUoCrbkKGzJUdCv9npDN/CVBvAW+fAU+fCcduE948Lr9OBz+vCVBPCUGfjdCgGfCl6Cr2rn8KNpXlTVi6p40BQviuJFxYOKB8VwcX2f2zj9TQmaUoCKF6XipfhRFR8KPlQlgIIPRdFRVAVUNRjCFCU4aaOmgaaBqgUDnKqhmEygmlBMwd4gNBOKFgx8mMzB4Gcyo2jlAdBsCQYmkxnFZAmVKWZr8AGyZmvws8WKYrahmM3yiBAhhBDnpBhGfc9kCH9Op5O4uDiKioqadOzIT78M8PoeP1PTnuBoyRFeve4FYizRTXa+y4UeMPCX+fGXBvCVBfCX+vG7dPyuQLVXwK0T8FS86/hcfpynnTgsUQ0+l2pSUMwKqklFrXg3KSgmBVUrfzepKFr55/JXcJngZ1Wp8k7wXVVQVELrUAiVoVRZryhQnu2C5eXvCsF9lOC+lL+hBi/PVayH8m2hynZK5eeq7xUfq32u53JfzeI6/zZXFtb5t92ovWxULlBaUspVV13FmjVrcDiiKjessl/ouEZlgVHfsY3KY4cOU7Ws4q3qsYw6jlGlrPJ7GVW2qbpP+THqOk61z9XrUqseVepduU2NulQcqM56VG5U81h11qXOY1N1g+ptaoDX6+W1115j2o+mYTab69i3ju9X5VxVq1n1uDW/Z+1z1/HnzDjLuhrnqParqOZ3rrZtPX/2qn4wau9S89hGrY2o+3vVVVBHVamjHrXW1fH3Tw/oHDh4gA7tOwT/R/Ksda6jTvX8Bj/n3/WL+XfhrMc9S1nV1fXU5Wznr/ew5zhXtT9/F7J/A7Yb8VxmrawhAasRHC016PKWn7u6FbD/6M8Ymj6Qh4f+rMnOF+4q2qWwsJBoewy6VyfgDYYv3acHP/sMdG/5Z5+B7q/y7jfQfQaGX0cPGBh+I1jmNzD08s8BA6P8pfsN0IPr9IABejAcYhgYAYL76OXbV/3lKVq2GsE2mIMrP9QbjqvtUxmsK3dXanwuX68olXm45nFqBvSq6Vqhjv1qBviK7RQCeoBNmzfRP7s/mkmr+Aq196v80jV+BlW2r6hbzfNXO0b1/1Go9j8GVT7U9TNUqn256uur1bvmz7lWfZSzrKtxvop1dX2XatvX/D+eOupV42TVv3sdx6TGzxPweD387ne/4+c//zlWm7We71B3G5y1/tXqqdQqqreO1U519vNyju9b/VznGBNa16nONYy0rj9fDXEe21ZtL5fbxU/n/JTnX3geu90eKne7XXQcky4Bq6n8dkuAX27UeWngWv68/XkeHzGPUe2GNuk5w9WlbJcLYRjBEGYYBoYeDGCh3pbyslCvSnlZaL1etXeirp6KOkJcRe8AVcob8Leyvr+5Z/2Hpq6AULW8jm1LS0sZNmwoX3zxJdHR0TV+QdbYtyJE1PiHV6nxS7hWkFCo/Qu4jmATCiLVyqoesLysYjhfzfpUrUsLdbn//RLVSXuFj/raqr5yGYPVSH7WR+XP+3T+sGc416ev59kNv6d3Sk+S7AnNXTVxnhRFAa3G/71FMN3pY1/+HuxtLETF2pq7OkIIERZaxn32lwGTqvDySBM7ChXMjntQFZVn1r9EC+4gFEIIIUQ9JGA1on7JCr/IVHl6Wwy39r6PL49s5J/7PmruagkhhBDiEpOA1cgey1ZJj4Lf7+7PdZ3H8fzGZWw/ldvc1RJCCCHEJSQBq5HZTQp/HKHx+XGD6Ji76Z7UlYc/e5Kjxcebu2pCCCGEuEQaHLC83vOc7TqCjUlTubu7wvyNGvcP/CVRFgfzPv1fij0lzV01IYQQQlwCtQLWG2+8wYsvvhj6vH37drp27YrD4WD06NGcPHnyklYwXP3mSg2HCeauj+LpUf9DobuIR9f+Gl/A19xVE0IIIUQTqxWwfvvb36JWeYjv7NmzsVgsLFq0iGPHjvH//t//u6QVDFcJVoVXRmmsyjN4fV8bnhg5n62ndvLshj/InYVCCCFEC1drHqwDBw7Qq1cvAPLz81m7di0ffPAB1157LSkpKfziF7+45JUMVxMyVBb0N3h0k07/lJ7MGzybX335HOkxadzR+4fNXT0hhBBCNJFaPViqqobGW33yySeYzWbGjBkDQGpqKqdPn760NQxzj/RTua6dwm1rAnROGsW0Prfwxy1v8O5//9ncVRNCCCFEE6nVg9W3b19+//vfk56ezgsvvMBVV12F1Rp8PtKhQ4do1arVJa9kOFMVhTdGawxY6efGj/x8MXkKLr+bRd8swxPwckuv7zd3FYUQQgjRyGoFrCeffJLrr7+ezMxMYmJiWL16dWjdu+++y6BBgy5pBVuCeKvCu+NMDP6Hn3vW6bw+6kdYNQt/+PY13AEPP+o9pcU/H00IIYSIJLUC1rBhwzh06BC7d++mc+fOxMfHh9bddddddOnS5ZJWsKXok6jw8kiNW9cEuDLFYHbf27FqVv645Q08fg8zs+6UkCWEEEK0EHU+7DkmJob+/ftXK/N6vUycOPGSVKqluqWzyoaTBj//WqdLnMIdvX+IzWTlxU3LcQc8zO5/N6oic78KIYQQ4U7mwbrEfn2lysR2Cjd+FGDtMZ0f9pjE3EH38u5/P+RXXz6Hx+9p7ioKIYQQ4iLJPFiXmFlVeOsqjcGtFK7/d4DN+QaTu17Do8N/wdq8r5n90XxOlp5q7moKIYQQ4iLUClh1zYP17LPPcv/99/P444/z73//+5JXsqWxmRT+MV6jR7zCNav87DpjcFX74Swe/2sK3U5m/msuW0/ubO5qCiGEEOICyTxYzSTGorDqWo02dhi3ys+BYoNuiZ1YNuFZ2sdm8LOP/4f39vyruasphBBCiAtQK2BVzIO1Y8cOmQeriSXaFP4z0YRNg7Ef+jlWZhBvi+PZqxcyqcs1PLvhD/x2/Uu4ZVyWEEIIEVZqBawnn3ySzz//nMzMTLZt28bChQtD62QerMaX6lBYPdGEOwAj3/fzndPApJp4YOBMHho8m4+++5QZq37GrtN7mruqQgghhGigWgGrYh6sDRs2cODAAQYMGBBad9ddd/HEE09c0gpGgg4xCmuvD86YMfQ9P1tPBx8GfV3nsSyf+BwOs4P7/v0Qr279M37d35xVFUIIIUQD1DnpUsU8WFUnGQWYOHEi3bp1uyQVizQdYxXWTTKR6oCRH/hZe0wHoF1sOi+Nf5qpvW/mje1/5b7//JJDzsPNXFshhBBCnE2dAevbb7/lpptuIjU1FavVSmpqKjfffDM5OTmXun4RpbVD4dPrTWQnKYxfFeC9g8GQZVJN/DjzVl4a/2tKvaXc/eHPeHPH3/AFfM1cYyGEEELUpVbAWrt2LUOGDGHjxo3ceuutPP7449x6661s3LiRIUOGsG7duuaoZ8SItSh8eK3Gde0Uvv9RgJdz9dC6nsndWD5xEd/rOoGXt7zJj/85h43Hvm3G2gohhBCiLophGEbVgmHDhhETE8MHH3yAyVT5JJ1AIMB1111HSUlJ2IQsp9NJXFwcRUVFxMbGNnd1zktAN7j/S50lu3R+2lvlt1eqmNXKZxXuLzzIoo1L2XJyB6MyhnBf/7toHZXSjDVuuHBul0gk7RVepL3Ci7RX+Kivreorr9WD9e233zJnzpxq4QpA0zTmzJnD5s2bm7D6ooKmKvx+mMqLQ1Ve2qEz7sMAJ12VWbhTfHueH/srHhn6c7adyuXO9+/jT9veosznasZaCyGEEALqCFhRUVH1Pm/wxIkTREVFNXmlRJCiKNx/hcaa6zR2FRr0f9fPxlN6tfXjOo5ixeTf871uE3hj+1+59R/38Lfc9/EEvM1YcyGEECKy1QpYkyZNYt68eaxevbpa+erVq5k/fz6TJ0++ZJUTQSNSVTZ/30TbKIUR7wd45b96tfVRZgf3Zv+YFZP+wND0gby0+RXueO8n/HPfavx6oJlqLYQQQkSuWgHr2WefpUOHDlxzzTUkJCTQvXt3EhISuOaaa+jQoQPPPPNMc9Qz4rWNUvjseo07uyrc9XmAOz/xU+StNnyONtGtmDd4Nq9d9yJXJHfnN1+/yI8+uJ9/7v0Ir9xxKIQQQlwyppoFCQkJfPXVV3zwwQesW7eOM2fOkJiYyPDhw+nbty+rVq3itttua466RjyrprBshInhrXXu/zLA58f9vD5aY2Rq9ZzcPi6dBSMe4raC/fxp21/4zfrFvLL1//hhj0lM7notUWZHM30DIYQQIjLUuovwbN555x1uvvlmAoHwuOzUku/OOFBsMPWTAF+cMHgwU+XxASpWTalz24NFh/nLrnf5z3efYtUsfK/rtfyg+/WkOJIuca2DWnK7tETSXuFF2iu8SHuFj4u+i1CEhw4xCp9er/HUQJXntutcudLP9oK6s3L7uHTmDZ7NX763jEldrmHl7lVMWXk3//P503xzLAfd0OvcTwghhBAXRgJWGNNUhXlZGuu/Z8KnQ/a7fh7eGMDlrztopTiS+En2NP72g1eYPWAGec4jzF3zGFPfv4+3dv0Dp6f4En8DIYQQomWqNQZLhJ9+yQqbf2Di6RydJ3N0/rJP5w/DNcan152fo8wOvt9tIjd0ncDWUztZuXsVy3JeZ3nOGwxNH8Q1HccwKK0fJlX+eAghhBAXQn6DthBWTeGx/hq3dFb5yboA16wKcGtnnd8N1mjjqHtslqIo9G11BX1bXUGBq5CPDnzKv/avYf5nTxBvjWNsh5Fc02kMXRM6oSh1H0MIIYQQtZkAYmJiGvQL1O/3N3mFxMXpHq/w8XUaK/Ya/PzrAD3e9vNIP5XZV9Q/CB4g0R7PlJ43MKXnDew98x3/2r+G1Qc+42//fZ/0mDRGtxvK6HbD6JLQUcKWEEIIcQ4mgLlz58ovzRZEURSmdlWYmKHw6CadX27Q+f1OnacHatzUSTlnW3dJ6Mj9/e9iVr9pfHMsh08PfcE/9vyLFTv+RtuYVEa3G8bIjMF0S+yMqsgwPiGEEKKm85qmIdzI7a9Bu84YPLQhwAeHDIa0Unh2sMqQ1ucXjPy6n83Ht/LpoS9Ym7cep7eYJHsCQ9oOZGjbAfRvk4XNZG3QsaRdwou0V3iR9gov0l7h43ynaZAxWBGgZ4LC+9eYWHNEZ+76AEPfC/D9DjoLsjUykxrWc2lSTQxKy2ZQWjY/H/QTtp3axVdHvuHLwxv4YO9/sGgWslv3YWBqPwakZtE+Nl16RYUQQkQsCVgR5Kq2Kt/coPDmXoOFmwP0/bufH3ZUeCxbo3diw8OQSTXRr3Uf+rXuw73ZPybPeYQvj2zkqyPfsOTb1/Bt8pPiSGJAmywGpmbRr3Umifb4JvxmQgghxOVFAlaE0VSFO7sp3NpF4Y09Bv+7OUDmO35u7qTwaLZGr4Tz73XKiG3LlNi2TOl5Ay6/m60nd7Lx2Ld8c2wLq/Z/DEC72HSyWvcmq9UVdHZ0aORvJYQQQlxeJGBFKLOqML27wh1dFP60x+CJbwNc8Tc/k9srPJSpMqzNhQ1et5tsXJmWzZVp2QDkl50m5+QOtpzYTs6Jbby3518ADPjtVTz37VL6pWXSJ6Un7ePSZcC8EEKIFkMCVoSzaAozeijc2VXh//Ya/HZrgOHvBxjaWuehTJVJ7RXUixhLlexIYmyHkYztMBKA064zfH1gIz99ei4Hexzms41fEjB0os1R9EruTs/krvRM6kaPpC4k2OSyohBCiPAkAUsAwYlKf9xd4UfdFP55yOA3W3Ru+ChA9ziY01tlaheVGMvFD1pPsicwou1g9r2+nc0vfoHJbib39B525Oey/VQuK3ev4k+etwBo7UihR3JXuid2pmtCJ7omdpLQJYQQIixIwBLVqIrCpPYKk9qrfHVC59ltOnO+DM6l9aOuKvddodIjvvHuDnSY7WS3ySS7TSYAhmFwvPQkuaf3knt6N7mn9/Lmjnco9ZUBkGxPpEtCR7omdKJTfHs6JXQgPSYNk6o1Wp2EEEKIiyUBS9RrSGuVv7VWySsxWLpLZ1muzuKdOlenKdzbS+X6dgqWs8wOfyEURSE1ujWp0a0Z034YALqhc6zkBHvO7GdPwX52F+znn/tWU+A+A4BFNdMuLp3O8R3oENeODnEZdIjLoE10KxnXJYQQollIwBLnlBGt8MRAjf/JVvnbdwaLd+jcuDpAig3u7KpyV3eVnhdw92FDqYpK25jU0CzyFQrdTvYXHmB/4cHQ++d5X+HyuwGwahbaxabTPi6djNi2ZMSkkRGbTkZsGnaTrcnqK4QQQkjAEg1m1RRu76JwexeVbQUGL/9X59XdwcuIQ1sr3NVd5caOCnGNMFarIeJtsdUuL0LwEuOpsnwOFOWFXoecR/jm2BYKPUWh7VLsSbSNTaVtdCrp5eEtPSaN1OjWOMz2S1J/IYQQLZcELHFB+iQqLBqi8etBKv84EAxbd38e4L4vYFI7hTu6qlyb3viXEM9FURRaRaXQKiqFQeVTRVQo9pSQV3yEQ84jHHYe5UjJMfae2c+nh74IjfECiLfGkRbdmjbRrUkrv1zZOqoVbcqPa9Usl/Q7CSGECD8SsMRFsWoKN3dWuLmzyuESg7/s11mxR+d7/wmQaIWbO6nc2llhWGsFTW3eR+fEWKPpZe1Or+Tu1coNw6DIU8zh4qMcKznO0ZITHCt/7TiVy8myfAwqH9mZaEsIha1WjmRaRSXT2pFCSlQyrRzJJNjiZOyXEEJEOAlYotGkRyv8IlPjF5ka2woM3tyr8397dZbsgjZ2uLGjyk2dFDIvsytwiqIQb4sl3hZL75Qetdb7Aj5OlZ3meOlJTpSe4kTpKY6VnuBUWT57z3zHybJ8vAFvaHtN0UiyJ5DiSCLZkUSKPYkkeyLJjkSS7Akk2YPv0eYoeV6jEEK0UBKwRJPok6jw9CCNJweqrD9p8PZ+g799p/PSTmhts8FtL/DxcZXrooxLfhnxfJk1M2kxbUiLaVPn+ooesJNlpzhVls+psgLyy05zynWaU2Wn+a7wEAWuM5T4SqvtZ9EsJNriSbQnVHtPsMWTaIsn3hYX/GyPx2GySxgTQogwIgFLNClVURjSWmFIa3hmsMqGkwZv5rpZ3PsafvCZldgv/UzIULihg8qEjEs3QL4xVe0B65bYud7t3H4Pp10F5LsKOF1WQIG7kALXGU67z1DgKmRn/n8pcBVS5CkiYOjV9jWrJuKtccTZYkmwxRFvjSPeFkuctfYr1hpNrCUGs2Zu6q8uhBCiHhKwxCWjKgqDWyv0svtZPLo76w44+fi0g38c1Ll1TQCTAiPaKExspzAxQ6VnPC2q18Zmsoammzgb3dBxekoo9BRS4Cqk0F1EocfJGXchhR4nRe4iTpSeYnfBPoo8xTi9xeg1AhkEnwsZZ40lxhJNrDWGWEs0MZZoYqouW6KJtkSFlmOs0dhNNhlDJoQQF0kClmg2fRIMhrXXeDRb41CJwfsHdT7MM/ifb3QeXK/TPhomZqhcm6EwOlUhNgx7ty6EqqihHrEOce3Oub1u6JR4SynyOCl0O3F6i3GWBy+np2K5BKe3mCMlx3F6iin2llS7c7Lm+aPMDqItUUSZHdhVG70eGMhz3y4lPiqOaHOwPKp8ffBlx1G+7DDZsZvtMru+ECKiScASl4V20Qr3XaFx3xXg8ht8eszgw0MG/8zT+cMuMCkwuJXC+HSFcW0VBqQomJr5rsTLhaqowR4qawwZsW0bvJ9fD1DqK6XYW0qxt4SSKu8l3lJKfKWUekspKCtEMakcKz3Jd8V5lPpKKfWV1RvQKlg1C47y4OUw2YPLJjt2sw17+We7yVb+HlwOrgu+bNXerdikZ00IEUYUwzCMc28WnpxOJ3FxcRQVFREbG9vc1RHlzqddDMNgnxM+OqLzn8MGa44aOH0QZ4FRqQpXpSmMSVXpnRi8BCkaX33tpRs6Lr+bUl8ZZb4ySn0uSr2llPldlPpcuHyu8nUuynxluHEsDb4AACAASURBVPxuyvwuXL7ge5nPhcvvwuV34/K5ao07q4tFswTDlmbDVh66Qu+aBZvJhtVkxaZZsZmsWDQLNpMVq2bFqlmwmizYtGC51VReVv6yaFaspuByOAc5+XcvvEh7hY/62qq+cunBEpc1RVHoEgdd4jR+0gv8usGGUwarjxh8ctRg3gYdT0An2QajUxVGpSqMaKPSRwJXk6u4lBhldlz0sQzDwKf7KfO5cPvduPzu0HvFstvvKV/2BD8H3Lj93uDnQHC7AncRnoAHj9+DJxBc5wl4cPs91eYyOxeTaioPXWasmhWLZsaiWcpfZixqMKxZVAtmzRQMbOXlZs2MRTNjVoP7mDUzFtWEOVRmDu1nVs1V3s2Y1erL4Rz0hIh0ErBEWDGpCkNbKwxtDY9mBy8nfnXC4JNjwcD18691fLpOvAWGtVYYmaowoo1CdrKC9TKfDiKSKYpSHmLMQOP/X3xFgPNUBK6AF4/fgzfgxRN6efD4vXgD3lC5N+ALlge8+AI+vLqvfH3wvcRbGir3lZd5Al58ug9vwIdP///t3XtwVdXB9/HfOufknpyEBAJECIgJCkYQFCrFIuoLbXWsUO9Va6xTlNZ2HN+2/tEZwVcLOvbROkhHrQ5qaX3wBeq8PtZptd6tl9gqokW5yCVyC4SQk3vOOXu9f+x9LiEBL+xADnw/M2fW3muvvfcKy8DPdfYlppgT+9r9DpqAsgJZCgVDygqEFEoEMC+wueuhHqWNW53y08m6//2HlZeTq1AgS6FAUFmBkIKBUGrZhHrVhwIhhYxbBhPryTKkoAkk64KJdiagYCDkrQfd/YxbEhBxPCNgIaPlhYzOO8HoPO/So46YO8P12k6r13dZ/Z9/O2qLSdkB6cwhXjgrd8uh+QSu40V6gCtS4RE9t2MdN2ylBbFUAIsq5sTSwlhU3XGvdGKKefVRJ6poPJZsnwhu3fGo4jauqLdP1ImpM96l7HCOdrU3yHZYxZx4j33iTtxdtjHF4jHFbPywQuChBEwgGcqCJqhgIOCWXgALekGtx7ZA+nqqfSC5byAZ3oJpQe7AbYlzB423PRDw6r12iTZp7dM/wYMsB9KOGQj0td0kzxOQSbWTceuS2922nbEumaxAcmwCJnBM3T19POMaLBxxR3Jcoo7Vh43SP3c7enO31T93W9V7z/scXShNLTf6xhCjb5S7s1x5If5iOxC/R5nl64yXtVZx6yjuBbG4jSvmxBV3Ym5AszFvPa6YTat3Yt5+bpu443h18eTx4o67nKx3HK9MHCueXHeskzx3Yjmxf7K0bnsncRzryPE+6W0S66njOMllJ32fL3Ht35FmZJJBzHgBzigVzIxxtxt525JtvTYyMl6AM/LKRBvv2OaAdoFe7QMyUtpx0s4h93gHHltS8hypdr2Pk+qLemw33v4HHie9dC/9MMnzHtgmICOl9VEH1KefI/14xttmkueVAgpIxm1nZNTR0aErr7xSK1asUGF+QXK/zo4Ozaw6m2uwcHzJChidMUQ6Y0hQP6tx6+pb3a8V39lj9U6D1a+3OuqMu3cqnlYqTRkS0JlDjM4cbFRT6h4DOJYZY7yvBoPKUc7R7s4RZa3tFbi+eD0up4/97AH7JIJrql36flaOjautvU0/njdPDz38kLJzc7xjWG9/77iyyfZuf62sep4n+XPIJvdTcj+b7JuVvDLVf2tt8hzWO0aiXl57xzrqttHkMa0cWSs5cuQ47nFt2vkda9PapvqXWE7WHbDu1jlpdUqey8pJHk9WvY/n9aFnmdjij5r//Q3d+e59X6otAQvHnZGFRiMLjS73HroedazW7pPeaXBUt8fqrQZHj34qOVbKCUoTS93ZrUllRpMHSzWDjHKZ6QKOCcYY9+tFHZ3ntkUiETW8+bnOH/ktZoj7USrgSUoLd7JeMPPqDgyFiZAnWTW3RFRdXa3169ersLAguV9LS4uq9P96nZOAheNeVsANTpMHBzXfq2uPWX3QaFW3x+pfe6ze2OXokU/c0BUy0vhB0ullRhNLjVuWGZXlEroAYCBKBOnDEeg2ijZ3qTS3ROH8VBjOjWX32Z6ABfQhP5S6WzGhI2a1dp/Vv/da/bvRak2j9H8/c9QRd7efUODOdp2W+AwyOqVEA/5l1gAA/xGwgC8pL2Q0tdxoanmqLu5YbYxIHzRardln9WGj1VObHN2zxt0eMtLYYqmm1OjUQalPVVg8iR4AjmEELOAwBANGJ5dIJ5cYXXFSqn5/l9VHTe6M19p90sdNVv/Y7qixy92eHXCD17gSo3GDjMaXGI0rMRpbLK7vAoBjAAEL6AclOUZnDzM6e1iqzlqrhg43bH3cZLVuv7Ruv9Vr6xzt7nDbGEmji6RTSoxOLjY6udhdHltsNDxfPB8HADIEAQs4QowxGpovDc1PPRg1YV+n1br9buj6tNnq0/1Wz21ztKRFint3GBeE3FmvscVu4Koudr9qrC42KsshfAHAQELAAgaA0lyj6cOMpg/rWd8dd192vSFitb458ZFe2+VoZ3uqXXG2VBV2A9dJYeN9pJOKjCoKeC8jABxpBCxgAMsOGo0bJI0b1DsgtUbd8LUxYrWx2WpDxL3g/s3djj5vS7XLDbpfO44pMjqxyGhMkTQm7C6PLpKKswlfAOA3AhaQoQqzjCaWSRPLegekzpjV5hbpsxarTRGrz1qkzS1Wr+50tGy91J726rlBOe5rg0YXGY0udEPXqEKjUUVGowqlwDH7Mi0A6D8ELOAYlBs6+MyXtVZ7OqXPIlZbWqUtLVZbvAD2P9scbWuTuuKp9kWhXGnBv3X5a9kaUxJXZaFUWWhUWSiNLHC/guR1QgDQEwELOM4YY1SeJ5XnGZ01tPd2x7vbcWurG7w+3dupBS+8psCUcfrnbkdPbZL2d6faB4w0PN8NWyML3FcRjSiQRhS45cgCo2H5PPcLwPGFgAWgh4BxA9GwfKNvlEuRITEteOoW/fdD1yffldbSbbWtVapvs6pvc1+gXd9mVd8qfbjPUX1bz68hA0YaliedUGB0Qr5bjiiQKvKNTvDKigIpnMXdkACODQQsAF9ZUbbRqaXSqaV9hyFrrfZ3S5+3SZ+3WX3eJm1vs/q8zWp7m3sX5OdtUlNXz/0KQlJFvjTcC1wV+e7zv4bnGw3P88p8965JghiAgYyABcB3xhgNynEvoD/tICFMct/vuLNd2tFutaNN2t5utaNd2umtv7/X0Y52qSXac7/coPu15LA8N3ANyzcalpcqh+ZJQ/OMhubxZHwARwcBC8BRkxcyGhN2HxtxKK1Rq11e8NrV4ZY726VdHW79m7sc7eqQGjqkA296LM7uGbjKvXJonlSe6z78tTzXvS6tiK8oAfiEgAVgwCvMMqoqlqqKDx1+Yo57h+TuDml3u9XuDjeE7e6Qdnvl+mb31UR7OiXngDSWG5SG5LohzC2lIV74GpLr1g1JWy4kkAE4CAIWgGNGKJC4ZktSH88HSxd3rPZ1ubNeDZ3unZMNXgjb0ynt6XQf5Pp2g6OGjp53TibkBKXBuW4oG5xrvGW3HJwrDc5JLLtlWa6UEySQAccDAhaA41IwYNzZqDzpVH1x6OmOW+3tTIWvPR1uubdTXr37deXafY4avbpYHw9pLcySynLc0FWW44aushyjslypNEcqS6svzXGXw9m87gjINP0asDZs2KDrrrtOe/fuVXFxsR5//HGdeuqpPdqsXbtWP/3pT9XQ0KBQKKSpU6dq6dKlysvLk+ROv9fU1CgYDEqSlixZom9961v92W0A6CU76N3ZWCDpSwQya60iUXkBzCZDV2OXG8oaO6W9Xe61ZB81uaGssavnQ14Tgsa9YaA0xw1dpTluSCvNNRqU7dV7yzkxIw0dqz2dUl6h5SGwwFFirLX99iKM8847Tz/84Q9VW1urlStX6p577lFdXV2PNhs2bFBHR4cmTJigeDyuH/zgBxo3bpwWLlzodtAYNTU1qaSk5CufPxKJqLi4WM3Nzcnn9+DoY1wyC+N15Fhr1R5zg9a+Lqmx0/Yo3U9qubHTqqnbXe4rmEnujNmgbHl3dZqDLpd4yyXZxiu5A/NI4PcrcxxsrA5W328zWA0NDXrvvff097//XZJ0ySWX6Oabb9bGjRtVVVWVbFddXZ1cDgaDmjJlij766KP+6hYADFjGGBVkSQVZUmWh9GVmyhI6Ym7w2tbYqm/+rwv0p2eeV1cwX01dqRDW1GXV1CX9Z7/U1OWoqct9FllfX2VK7kX/JdlSiRe8DlwuzpZXGq/eW/a25Ye4CQDHr34LWPX19Ro+fLhCIfcUxhhVVlZq27ZtPQJWura2Nj366KNavHhxj/pzzz1XjuPo/PPP15133qmCgoI+9+/q6lJXV+rJhZFIpEeJgYFxySyMV+YokjQyEJE2vKEZ4f0Kh50v3MdaqT0uNXdL+7uN9keNIlF3ublbao665f6oUXPUaEeLtC6tLhKVHNt3iAoaq3CWFM5yy5LsnuuJssgri7Osirz6RFkYct8EcKzi9ytzHGysDjZ2A+Yi9+7ubl1xxRWaPXu25s6dm6zfunWrKisr1dbWpptuukm//OUv9fvf/77PYyxevFh33HFHr/qRI0f2W7/x9TEumYXxyixHdLxyCqS8EimvWMovlvLd5XheWE15xWrKK3a35RVL+eHUcl5YyvU+gUDfx3YcqatF6oi4n85E2ZJa72xJW29J1XW0pNp3tUjxWN/nGAD4/cocX3as+u0arIaGBlVVVWnfvn0KhUKy1mr48OF64403es1gRaNRXX755Ro8eLAeeeSRg04pv/XWW5o3b57Wrl3b5/a+ZrBGjhyp+vp6vtseQBiXzMJ4ZZZMHC/HSq0x94n9kahRJGrUEnVnz1qiUos3U9YSNWqJKbk9Ud8ac9dbY5I9xNequUF3Rqww5M6QFWUdsB6yKsySW5dlVeSVBWltCkPuPvk+zaxl4ngdrw42Von6I3YNVnl5uSZPnqzly5ertrZWq1at0ogRI3qFq1gspiuvvFKlpaW9wlVTU5NycnKUn58vx3G0YsUKTZo06aDnzMnJUU5OTq/6cDjMf7gDEOOSWRivzJJp4/XVb2PqzbFWbVH36043gLl3cka65Qa0busFNS/MdVu1RKX9Uam+02vv7dsa7f1WgHRG7rVyRd7HDWYmueyWJhnYirLd7YWJtl57GzBS0RCF8sMqKirimrUM8GV/t/r1K8KHH35YtbW1WrRokcLhsJYtWyZJuv3221VRUaGbbrpJK1as0OrVqzVhwoRkeJo+fbqWLl2qTz75RDfeeKOMMYrFYpo8ebIeeOCB/uwyACBDBYxRUbYbZlxfP6w41qojlgpjicDWmr7uBbTWmLx6d/ueTmlzi9QaddK2SdE+L4nLlf5ru4avkoxiyfBVEEqFsIJkIJMKsoxXKlkWeMGtIFnv3SzhHcOdbSO4HWn9+piGo43bXwcmxiWzMF6ZhfEauLri7gxbInS1Rq12Nbfr4suu0qN//G/FQ3lqjVq1ecGuLea2afVm1FpjUlvUeqWS5Zf5RzwvqGToKvCCWmo5UW+UH+rZLj8trKWv5yfX3btNj4eZtwHzmAYAAJCSEzTKCUqlyRqjSK4jrfkfXTYqrnD4IBf6H4K1Vh1xN2i1ecGtLWa9MlXfFrNpy25QSyw3dkrbYlJbzOnRpj3W+32dfTFyg1Z66EoPYvkhKT/YR12iXcgNgOl1ieW8RBl0376QSQhYAABkKGNSYWRIqtaXY1tr1e24Ia09lh687AF17tepiVDW7tUllluj0u52N8B1xFNtEp8vKyeYClupAGaUH0wFMXe76RXO8g5om5c8jklbTtX7EeYIWAAAoBdj3Bm3nrNukl8BTkrNwHUcELoSoS2x7gYzN7R1HKQu0i3tapc64ja5f/qx41/hgqisQFow88pskyP96mVd/Eq2inJiyW2hg7xGgYAFAACOivQZuLKeW3w/V9RJhbFUSEsFseS2uPtmhEQ4S5TNHTGtafhMJdnfUEzuV6sdcamtpe8H+hKwAADAMS8rYFTsvcYp5csHuUgkqmXn36AnHrhU4XBeWn2Wivto/9WvqAMAAMAhEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACfEbAAAAB8RsACAADwGQELAADAZwQsAAAAnxGwAAAAfEbAAgAA8BkBCwAAwGcELAAAAJ8RsAAAAHxGwAIAAPAZAQsAAMBnBCwAAACf9WvA2rBhg775zW9q7NixmjJlij7++ONebdauXasZM2bolFNOUU1NjX70ox+po6Mjuf2dd97RxIkTNXbsWJ133nnavn17f3YZAADgsPVrwLrxxhs1b948rV+/Xrfddptqa2t7tcnNzdWDDz6oTz75RGvWrFFbW5vuueceSZLjOLr66qv1u9/9TuvXr9cFF1ygW265pT+7DAAAcNj6LWA1NDTovffe0zXXXCNJuuSSS1RfX6+NGzf2aFddXa0JEyZIkoLBoKZMmaItW7ZIkv71r38pFArp3HPPleQGtmeffVadnZ391W0AAIDDFuqvA9fX12v48OEKhdxTGGNUWVmpbdu2qaqqqs992tra9Oijj2rx4sWSpG3btmnUqFHJ7UVFRQqHw9qxY4fGjBnTa/+uri51dXUl15ubmyVJ27dvVyQS8e1nw+FpaWmRxLhkCsYrszBemYXxyhwHG6tEvbW2R/t+C1hfVXd3t6644grNnj1bc+fO/VrHWLx4se64445e9ePHjz/c7qEfMC6ZhfHKLIxXZmG8MsfBxqqlpUXFxcXJdWMPjFw+aWhoUFVVlfbt26dQKCRrrYYPH6433nij1wxWNBrV5ZdfrsGDB+uRRx6RMUaSVFdXp2uvvVaffPJJsvODBw9Wc3OzcnNze53zwBksx3G0b98+lZWVJY+Joy8SiWjkyJGqr69XOBw+2t3BF2C8MgvjlVkYr8xxsLGy1qqlpUUVFRUKBFJXXvXbDFZ5ebkmT56s5cuXq7a2VqtWrdKIESN6hatYLKYrr7xSpaWlPcKVJJ1xxhmKRqN6+eWXde655+rhhx/WRRdd1Ge4kqScnBzl5OT0qCspKfH/h4MvwuEwf6FkEMYrszBemYXxyhx9jVX6zFVCv35F+PDDD6u2tlaLFi1SOBzWsmXLJEm33367KioqdNNNN2nFihVavXq1JkyYoEmTJkmSpk+frqVLlyoQCGj58uW68cYb1dnZqYqKCv3xj3/szy4DAAActn77ihA4mEgkouLiYjU3N/N/bBmA8cosjFdmYbwyx1cdq+DChQsX9n+3gJ6CwaBmzpyZvMsUAxvjlVkYr8zCeGWOrzJWzGABAAD4jHcRAgAA+IyABQAA4DMCFgAAgM8IWOhXnZ2dmjNnjsaOHauJEydq1qxZyfdRNjQ06Dvf+Y6qq6tVU1Oj11577Sj3FgnLli2TMUbPPPOMJMZqoOrq6tLNN9+s6upqnXbaacl3vzJeA9Nf//pXTZ48Waeffrpqamr0xBNPSGK8Boqf//znGj16tIwx+uCDD5L1hxqf9vZ2XXXVVaqqqtLYsWO1cuXK1AEt0I86Ojrsc889Zx3HsdZau2TJEnvOOedYa629/vrr7YIFC6y11r777rv2hBNOsN3d3Uepp0jYvHmznTZtmj3rrLPsX/7yF2stYzVQ3XLLLfbmm29O/n7t3LnTWst4DUSO49hBgwbZNWvWWGvd37OcnBwbiUQYrwHi1VdftfX19XbUqFH2/fffT9YfanzuuOMOe91111lrrf3ss8/skCFD7N69e6211hKwcETV1dXZUaNGWWutLSgoSP6DYK21U6ZMsS+88MJR6hmstTYej9vzzz/fvvfee/acc85JBizGauBpbW21RUVFtrm5udc2xmvgcRzHlpaW2ldffdVaa+2aNWtsRUWF7erqYrwGmAMD1qHGZ/z48fatt95KbrvsssvsH/7wB2uttTx0A0fUAw88oIsvvliNjY2KRqMaNmxYctvo0aO1bdu2o9g73HfffZo+fbrOOOOMZB1jNTBt2rRJpaWlWrRokV588UXl5eVp4cKFOv300xmvAcgYoxUrVuj73/++CgoK1NTUpNWrV6ulpYXxGsC+6O+/bdu2adSoUX1uI2DhiFm0aJE2btyof/zjH+ro6Dja3cEBPvroI61atYrrPzJELBbT1q1bNX78eN199916//33NWvWLH388cdHu2voQywW01133aXVq1drxowZqqur0/e+970e1/rg2MJF7jgifvvb32r16tV6/vnnlZ+fr7KyMoVCIe3atSvZZsuWLaqsrDyKvTy+vf7669qyZYuqq6s1evRovf3225o3b56efvppxmoAqqysVCAQ0NVXXy1JmjRpkk488UStXbuW8RqAPvjgA+3YsUMzZsyQJE2ZMkUjRozQhx9+yHgNYF/0b1VlZaW2bt3a5zYCFvrdfffdp6eeekovvPCCSkpKkvWXXXaZHnroIUlSXV2dtm/frnPOOedodfO4N3/+fO3cuVNbtmzRli1bdNZZZ+mRRx7R/PnzGasBaPDgwTr//PP1t7/9TZK0efNmbd68WePGjWO8BqCRI0dq586dWrdunSRp48aN2rRpk04++WTGa4A71Pikb9u8ebNeeeUVzZkzx93xCF0zhuNUfX29lWTHjBljJ06caCdOnGinTp1qrbV2165ddtasWbaqqsqOHz/evvTSS0e5t0iXfpE7YzUwbdq0yc6cOdPW1NTYCRMm2JUrV1prGa+B6s9//nNyrGpqauyf/vQnay3jNVDMmzfPnnDCCTYYDNry8nJ70kknWWsPPT6tra328ssvt2PGjLHV1dV2xYoVyW28ixAAAMBnfEUIAADgMwIWAACAzwhYAAAAPiNgAQAA+IyABQAA4DMCFgAAgM8IWAAAAD4jYAHICAsXLpQxps/P3XfffcT78/jjj8sYo7179x7xcwMY+HjZM4CMkZeXp5deeqlXPe9tAzDQELAAZIxAIKCzzjrraHcDAL4QXxECOGYkvi781a9+pSFDhqioqEi1tbVqaWnp0W7r1q269NJLVVxcrIKCAn3729/W2rVrex3vySef1KRJk5Sbm6vBgwfrggsu0NatW3u0qa+v13e/+10VFBSourpaTz75ZI/tb775pmbMmKHi4mIVFRXptNNO0xNPPOH/Dw9gQCFgAcgosVis1yfdkiVLtG7dOj3xxBO6++67tWrVKv34xz9Obm9padHMmTP1/vvv66GHHtLy5cvV2NioGTNmqL6+Ptnu3nvv1XXXXaczzjhDq1ev1mOPPabq6mrt2bOnx/muvvpqzZ49W88884wmTZqk2tparVu3TpIUiUR04YUXKhwO66mnntIzzzyjefPmaf/+/f34JwRgQDjCL6sGgK9lwYIFVlKfn9dff91aa60ke+KJJ9pYLJbc77HHHrPGGLtu3TprrbUPPPCANcbY//znP8k2jY2NtqCgwN56663WWmv3799v8/Pz7bx58w7an2XLlllJdunSpcm61tZWm5+fb++8805rrbV1dXVWkv3www/9+4MAkBGYwQKQMfLy8lRXV9frc/rppyfbXHTRRQoGg8n1Sy+9VNZavfvuu5Kk119/XTU1NRo3blyyTWlpqWbNmqU33nhDkvTWW2+pvb1dN9xwwxf2afbs2cnlgoICjRo1Sp9//rkk6aSTTlI4HNb8+fP19NNP95r9AnDsImAByBiBQEBnnnlmr09hYWGyTXl5eY99wuGwcnNztXPnTklSU1OThg4d2uvYQ4cO1b59+yRJjY2NkqSKioov7FNJSUmP9ezsbHV2dkqSBg0apBdeeEFFRUW69tprNWzYMM2cObPP670AHFsIWACOKQ0NDT3WI5GIOjs7NXz4cEnubNWBbSRp9+7dKi0tlSSVlZVJknbs2HHY/Zk6daqef/557d+/X88++6waGho0Z86cwz4ugIGNgAXgmPLss88qHo8n11euXCljjKZMmSJJOvvss7V27Vp9+umnyTZNTU168cUXdfbZZ0uSpk2bpvz8fC1btsy3fuXl5emCCy7Q/PnztXnz5uQsF4BjE8/BApAxHMfR22+/3au+vLxcY8aMkSR1dXVpzpw5+slPfqLNmzfrtttu06WXXpq85ur666/X/fffrwsvvFB33XWXcnNz9Zvf/EahUEi33HKLJKm4uFgLFizQbbfdJsdxdPHFF8txHL388su66qqrdOaZZ36p/j733HN67LHHNHfuXFVWVmrXrl1asmSJpk+frtzcXJ/+VAAMRAQsABmjo6ND06ZN61V/ww036NFHByVD9wAAAJ9JREFUH5Uk/exnP9OePXt0zTXXqLu7W3PnztWDDz6YbFtUVKRXXnlFt956q+bNm6d4PK7p06frtdde08iRI5PtEs/Suv/++/X444+rqKhI06ZN63WN16FUVVUpEAjo17/+tRoaGlRWVqbZs2dr8eLFh/GnACATGGutPdqdAAA/GGN077336he/+MXR7gqA4xzXYAEAAPiMgAUAAOCz/w/6BaN6ed6DhQAAAABJRU5ErkJggg==\" />"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnloss1 tstloss1 trnloss2 tstloss2],ylim=(0.2,0.36),\n",
" labels=[:trnloss :tstloss :trnlossL2 :tstlossL2],xlabel=\"Epochs\",ylabel=\"Loss\") \n",
"# overfitting less but results do not improve much"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnerr1 tsterr1 trnerr2 tsterr2],ylim=(0.06,0.10),\n",
" labels=[:trnerr :tsterr :trnerrL2 :tsterrL2],xlabel=\"Epochs\",ylabel=\"Error\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multi-layer Perceptron"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"mlp (generic function with 1 method)"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Using a model with higher capacity helps underfitting\n",
"function mlp(w,x)\n",
" for i=1:2:length(w)-2\n",
" x = relu(w[i]*x .+ w[i+1])\n",
" end\n",
" return w[end-1]*x .+ w[end]\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"winit (generic function with 1 method)"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function winit(h...; std=0.01, x=784, y=10, # use winit(h1,h2,...,hn) for n hidden layer mlp\n",
" atype=gpu()>=0 ? KnetArray{Float32} : Array{Float32})\n",
" h = [x, h..., y]\n",
" w = Any[]\n",
" for i=1:length(h)-1\n",
" push!(w, std*randn(h[i+1],h[i]))\n",
" push!(w, zeros(h[i+1],1))\n",
" end\n",
" map(atype, w)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"4-element Array{Knet.KnetArray{Float32,2},1}:\n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x00000002262e0000,200704,1,nothing),(64,784))\n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x0000000226215800,256,1,nothing),(64,1)) \n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x0000000223349000,2560,1,nothing),(10,64)) \n",
" Knet.KnetArray{Float32,2}(Knet.KnetPtr(Ptr{Void} @0x000000021a530e00,40,1,nothing),(10,1)) "
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"w2=winit(64) # gives weights and biases for an MLP with a single hidden layer of size 64"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.3020606f0"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"softloss(w2,x,y,mlp)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 32.229941 seconds (48.99 M allocations: 2.021 GB, 1.69% gc time)\n",
" 10.943072 seconds (10.37 M allocations: 295.265 MB, 0.95% gc time)\n",
" 1.821942 seconds (1.82 M allocations: 50.953 MB, 1.38% gc time)\n",
" 9.514671 seconds (7.34 M allocations: 206.998 MB, 0.74% gc time)\n",
" 1.618859 seconds (1.28 M allocations: 35.842 MB, 1.18% gc time)\n"
]
}
],
"source": [
"srand(1)\n",
"@time trn3=train(winit(64),dtrn,mlp)\n",
"@time trnloss3 = [ avgloss(w,dtrn,mlp) for w in trn3 ]\n",
"@time tstloss3 = [ avgloss(w,dtst,mlp) for w in trn3 ]\n",
"@time trnerr3 = [ zeroone(w,dtrn,mlp) for w in trn3 ]\n",
"@time tsterr3 = [ zeroone(w,dtst,mlp) for w in trn3 ]\n",
"minimum(tstloss3)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnloss1 tstloss1 trnloss3 tstloss3],ylim=(0.0,0.4),\n",
" labels=[:trnLin :tstLin :trnMLP :tstMLP],xlabel=\"Epochs\",ylabel=\"Loss\") \n",
"# solves the underfitting problem!"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnerr1 tsterr1 trnerr3 tsterr3],ylim=(0,0.1),\n",
" labels=[:trnLin :tstLin :trnMLP :tstMLP],xlabel=\"Epochs\",ylabel=\"Error\") \n",
"# error improves from 8% to 2%!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## MLP with L1 regularization"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 43.039928 seconds (63.84 M allocations: 2.638 GB, 1.60% gc time)\n",
" 10.694712 seconds (10.34 M allocations: 293.497 MB, 0.86% gc time)\n",
" 1.809957 seconds (1.72 M allocations: 49.500 MB, 0.99% gc time)\n",
" 9.430437 seconds (7.41 M allocations: 207.146 MB, 0.74% gc time)\n",
" 1.591789 seconds (1.19 M allocations: 34.357 MB, 0.52% gc time)\n"
]
}
],
"source": [
"# We still have overfitting, let's try L1 regularization and a lower learning rate\n",
"srand(1)\n",
"@time trn4=train(winit(64),dtrn,mlp;lr=0.1,l1=4e-5)\n",
"@time trnloss4 = [ avgloss(w,dtrn,mlp) for w in trn4 ]\n",
"@time tstloss4 = [ avgloss(w,dtst,mlp) for w in trn4 ]\n",
"@time trnerr4 = [ zeroone(w,dtrn,mlp) for w in trn4 ]\n",
"@time tsterr4 = [ zeroone(w,dtst,mlp) for w in trn4 ]\n",
"minimum(tstloss4)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnloss3 tstloss3 trnloss4 tstloss4],ylim=(0,0.15),\n",
" labels=[:trnMLP :tstMLP :trnMLP_L1 :tstMLP_L1],xlabel=\"Epochs\", ylabel=\"Loss\") \n",
"# overfitting less, loss results improve"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnerr3 tsterr3 trnerr4 tsterr4],ylim=(0,0.04),\n",
" labels=[:trnMLP :tstMLP :trnMLP_L1 :tstMLP_L1],xlabel=\"Epochs\", ylabel=\"Error\") \n",
"# however error results do not improve! "
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.021799982f0,0.023299992f0)"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"minimum(tsterr3),minimum(tsterr4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## MLP with dropout"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: Method definition mlp(Any, Any) in module Main at In[36]:3 overwritten at In[47]:11.\n"
]
},
{
"data": {
"text/plain": [
"mlp (generic function with 1 method)"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Dropout is another way to address overfitting\n",
"function dropout(x,p)\n",
" if p > 0\n",
" x .* (rand!(similar(x)) .> p) ./ (1-p)\n",
" else\n",
" x\n",
" end\n",
"end\n",
"\n",
"function mlp(w,x; pdrop=(0,0))\n",
" x = dropout(x,pdrop[1])\n",
" for i=1:2:length(w)-2\n",
" x = relu(w[i]*x .+ w[i+1])\n",
" x = dropout(x,pdrop[2])\n",
" end\n",
" return w[end-1]*x .+ w[end]\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 34.156041 seconds (51.42 M allocations: 2.085 GB, 1.74% gc time)\n",
" 10.701090 seconds (10.40 M allocations: 294.478 MB, 0.94% gc time)\n",
" 1.813611 seconds (1.72 M allocations: 49.498 MB, 1.11% gc time)\n",
" 9.464259 seconds (7.36 M allocations: 207.638 MB, 0.68% gc time)\n",
" 1.593177 seconds (1.19 M allocations: 34.353 MB, 0.52% gc time)\n"
]
}
],
"source": [
"srand(1)\n",
"@time trn5=train(winit(64),dtrn,mlp;lr=0.1,pdrop=(0.2,0))\n",
"@time trnloss5 = [ avgloss(w,dtrn,mlp) for w in trn5 ]\n",
"@time tstloss5 = [ avgloss(w,dtst,mlp) for w in trn5 ]\n",
"@time trnerr5 = [ zeroone(w,dtrn,mlp) for w in trn5 ]\n",
"@time tsterr5 = [ zeroone(w,dtst,mlp) for w in trn5 ]\n",
"minimum(tstloss5),minimum(tsterr5)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnloss3 tstloss3 trnloss5 tstloss5],ylim=(0,0.15),\n",
" labels=[:trnMLP :tstMLP :trnDropout :tstDropout],xlabel=\"Epochs\", ylabel=\"Loss\") \n",
"# overfitting less, loss results improve"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnerr3 tsterr3 trnerr5 tsterr5],ylim=(0,0.04),\n",
" labels=[:trnMLP :tstMLP :trnDropout :tstDropout],xlabel=\"Epochs\", ylabel=\"Error\") \n",
"# this time error also improves slightly"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.021799982f0,0.023299992f0,0.018599987f0)"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"minimum(tsterr3),minimum(tsterr4),minimum(tsterr5)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.08993272f0,0.07906383f0,0.070469216f0)"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"minimum(tstloss3),minimum(tstloss4),minimum(tstloss5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## MLP with larger hidden layer"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 36.768292 seconds (52.39 M allocations: 2.101 GB, 1.69% gc time)\n",
" 12.795433 seconds (10.45 M allocations: 296.167 MB, 0.90% gc time)\n",
" 2.017528 seconds (1.72 M allocations: 49.504 MB, 0.91% gc time)\n",
" 11.064731 seconds (7.33 M allocations: 206.652 MB, 0.71% gc time)\n",
" 1.809374 seconds (1.28 M allocations: 35.842 MB, 1.03% gc time)\n"
]
},
{
"data": {
"text/plain": [
"(0.05201009f0,0.014800012f0)"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# The current trend is to use models with higher capacity tempered with dropout\n",
"srand(1)\n",
"@time trn6=train(winit(256),dtrn,mlp;lr=0.1,pdrop=(0.2,0))\n",
"@time trnloss6 = [ avgloss(w,dtrn,mlp) for w in trn6 ]\n",
"@time tstloss6 = [ avgloss(w,dtst,mlp) for w in trn6 ]\n",
"@time trnerr6 = [ zeroone(w,dtrn,mlp) for w in trn6 ]\n",
"@time tsterr6 = [ zeroone(w,dtst,mlp) for w in trn6 ]\n",
"minimum(tstloss6),minimum(tsterr6)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnloss5 tstloss5 trnloss6 tstloss6],ylim=(0,0.15),\n",
" labels=[:trn64 :tst64 :trn256 :tst256],xlabel=\"Epochs\",ylabel=\"Loss\")"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([trnerr5 tsterr5 trnerr6 tsterr6],ylim=(0,0.04),\n",
" labels=[:trn64 :tst64 :trn256 :tst256],xlabel=\"Epochs\",ylabel=\"Error\")\n",
"# We are down to 0.015 error."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.5.0",
"language": "julia",
"name": "julia-0.5"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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