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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ADVI on MNIST"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:36:45.637000+02:00",
"start_time": "2019-09-03T17:36:45.612Z"
}
},
"outputs": [],
"source": [
"using Revise"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:36:46.803000+02:00",
"start_time": "2019-09-03T17:36:45.615Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"\"/home/tor/.julia/dev/Bijectors/Project.toml\""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using Pkg\n",
"Pkg.activate(\"/home/tor/.julia/dev/Bijectors\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:36:59.259000+02:00",
"start_time": "2019-09-03T17:36:45.617Z"
},
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"┌ Info: Recompiling stale cache file /home/tor/.julia/compiled/v1.0/Bijectors/39uFz.ji for Bijectors [76274a88-744f-5084-9051-94815aaf08c4]\n",
"└ @ Base loading.jl:1190\n"
]
}
],
"source": [
"using Bijectors"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:31.469000+02:00",
"start_time": "2019-09-03T17:36:45.618Z"
},
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"┌ Info: Recompiling stale cache file /home/tor/.julia/compiled/v1.0/Turing/gm4QC.ji for Turing [fce5fe82-541a-59a6-adf8-730c64b5f9a0]\n",
"└ @ Base loading.jl:1190\n",
"┌ Warning: Package Turing does not have StatsBase in its dependencies:\n",
"│ - If you have Turing checked out for development and have\n",
"│ added StatsBase as a dependency but haven't updated your primary\n",
"│ environment's manifest file, try `Pkg.resolve()`.\n",
"│ - Otherwise you may need to report an issue with Turing\n",
"└ Loading StatsBase into Turing from project dependency, future warnings for Turing are suppressed.\n",
"WARNING: Method definition vi(Turing.Model{pvars, dvars, F, TData, TDefaults} where TDefaults where TData where F where dvars where pvars, Turing.Variational.VariationalInference{AD} where AD) in module Variational at /home/tor/.julia/dev/Turing/src/variational/VariationalInference.jl:74 overwritten at /home/tor/.julia/dev/Turing/src/variational/VariationalInference.jl:229.\n",
"┌ Info: Recompiling stale cache file /home/tor/.julia/compiled/v1.0/Plots/ld3vC.ji for Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n",
"└ @ Base loading.jl:1190\n",
"┌ Info: [Turing]: global PROGRESS is set as true\n",
"└ @ Turing /home/tor/.julia/dev/Turing/src/Turing.jl:24\n"
]
},
{
"data": {
"text/plain": [
":reverse_diff"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Import libraries.\n",
"using Turing, Flux, Plots, Random\n",
"\n",
"# Hide sampling progress.\n",
"Turing.turnprogress(true);\n",
"\n",
"# Use reverse_diff due to the number of parameters in neural networks.\n",
"Turing.setadbackend(:reverse_diff)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:41.265000+02:00",
"start_time": "2019-09-03T17:36:45.620Z"
}
},
"outputs": [],
"source": [
"using Turing: Variational\n",
"using Turing.Variational: elbo"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:41.321000+02:00",
"start_time": "2019-09-03T17:36:45.622Z"
}
},
"outputs": [],
"source": [
"using Turing.Variational: VariationalInference"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:41.344000+02:00",
"start_time": "2019-09-03T17:36:45.623Z"
}
},
"outputs": [],
"source": [
"using StatsFuns: softplus, invsoftplus"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:42.654000+02:00",
"start_time": "2019-09-03T17:36:45.625Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"MersenneTwister(UInt32[0x00000001], Random.DSFMT.DSFMT_state(Int32[1749029653, 1072851681, 1610647787, 1072862326, 1841712345, 1073426746, -198061126, 1073322060, -156153802, 1073567984 … 1977574422, 1073209915, 278919868, 1072835605, 1290372147, 18858467, 1815133874, -1716870370, 382, 0]), [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 … 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], UInt128[0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000 … 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000], 1002, 0)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using Random\n",
"\n",
"Random.seed!(1)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:42.677000+02:00",
"start_time": "2019-09-03T17:36:45.627Z"
}
},
"outputs": [],
"source": [
"using Flux.Data: MNIST"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:43.382000+02:00",
"start_time": "2019-09-03T17:36:45.629Z"
}
},
"outputs": [],
"source": [
"MNIST.load()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:43.882000+02:00",
"start_time": "2019-09-03T17:36:45.631Z"
}
},
"outputs": [],
"source": [
"imgs = MNIST.images();\n",
"labels = MNIST.labels() .+ 1;"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:44.544000+02:00",
"start_time": "2019-09-03T17:36:45.633Z"
}
},
"outputs": [],
"source": [
"data = float.(imgs);"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:45.003000+02:00",
"start_time": "2019-09-03T17:36:45.635Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"(28, 28)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"orig_size = size(data[1])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:45.092000+02:00",
"start_time": "2019-09-03T17:36:45.637Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
":reverse_diff"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# This modification of the unpack function generates a series of vectors\n",
"# given a network shape.\n",
"function unpack(θ::AbstractVector, network_shape::AbstractVector)\n",
" index = 1\n",
" weights = []\n",
" biases = []\n",
" for layer in network_shape\n",
" rows, cols, _ = layer\n",
" size = rows * cols\n",
" last_index_w = size + index - 1\n",
" last_index_b = last_index_w + rows\n",
" push!(weights, reshape(θ[index:last_index_w], rows, cols))\n",
" push!(biases, reshape(θ[last_index_w+1:last_index_b], rows))\n",
" index = last_index_b + 1\n",
" end\n",
" return weights, biases\n",
"end\n",
"\n",
"# Generate an abstract neural network given a shape, \n",
"# and return a prediction.\n",
"function nn_forward(x, θ::AbstractVector, network_shape::AbstractVector)\n",
" weights, biases = unpack(θ, network_shape)\n",
"\n",
" layers = []\n",
" for i in eachindex(network_shape)\n",
" push!(layers, Dense(weights[i],\n",
" biases[i],\n",
" eval(network_shape[i][3])))\n",
" end\n",
" nn = Chain(layers...)\n",
" return nn(x)\n",
"end\n",
"\n",
"# Set the backend.\n",
"Turing.setadbackend(:reverse_diff)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:48.156000+02:00",
"start_time": "2019-09-03T17:36:45.639Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"categorical_nn (generic function with 5 methods)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@model categorical_nn(xs, ys, network_shape, num_params) = begin\n",
" θ ~ MvNormal(zeros(num_params), sig .* ones(num_params))\n",
" preds = softmax(nn_forward(xs, θ, network_shape))\n",
" \n",
" for i = 1:length(ys)\n",
" ys[i] ~ Categorical(preds[:, i])\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:48.586000+02:00",
"start_time": "2019-09-03T17:36:45.641Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"7850"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Specify the network architecture.\n",
"network_shape = [\n",
" (10, 28 * 28, :identity),\n",
"# (10, 32, :identity)\n",
"]\n",
"\n",
"# Regularization, parameter variance, and total number of\n",
"# parameters.\n",
"alpha = 0.09\n",
"sig = sqrt(1.0 / alpha)\n",
"num_params = sum([i * o + i for (i, o, _) in network_shape])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:49.124000+02:00",
"start_time": "2019-09-03T17:36:45.643Z"
}
},
"outputs": [],
"source": [
"xs = hcat(vec.(data)...)\n",
"ys = labels;"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:49.316000+02:00",
"start_time": "2019-09-03T17:36:45.645Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"gen_batch (generic function with 1 method)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gen_batch(data, batch_size) = begin\n",
" n = size(data.ys)[end]\n",
" indices = shuffle(1:n)\n",
" \n",
" return (\n",
" (\n",
" xs = view(data.xs, :, indices[i:i - 1 + batch_size]), \n",
" ys = view(data.ys, indices[i:i - 1 + batch_size])\n",
" )\n",
" for i = 1:batch_size:(n - batch_size + 1)\n",
" )\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:49.340000+02:00",
"start_time": "2019-09-03T17:36:45.647Z"
},
"scrolled": true
},
"outputs": [],
"source": [
"using Turing.Variational: SVI"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:39:49.363000+02:00",
"start_time": "2019-09-03T17:36:45.648Z"
}
},
"outputs": [],
"source": [
"using Flux: Optimise"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:51:26.397000+02:00",
"start_time": "2019-09-03T17:51:26.367Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"SVI{Turing.Core.TrackerAD,ADVI{Turing.Core.TrackerAD},NamedTuple{(:xs, :ys),Tuple{Array{Float64,2},Array{Int64,1}}},typeof(gen_batch)}(ADVI{Turing.Core.TrackerAD}(1, 5), (xs = [0.0 0.0 … 0.0 0.0; 0.0 0.0 … 0.0 0.0; … ; 0.0 0.0 … 0.0 0.0; 0.0 0.0 … 0.0 0.0], ys = [6, 1, 5, 2, 10, 5, 2, 4, 2, 5 … 10, 3, 10, 6, 2, 9, 4, 6, 7, 9]), gen_batch, 60000)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"BATCH_SIZE = 150\n",
"\n",
"full_data = (xs = xs, ys = ys)\n",
"\n",
"# model to be evaluated on batches\n",
"example_batch = first(gen_batch(full_data, BATCH_SIZE))\n",
"m = categorical_nn(example_batch..., network_shape, num_params)\n",
"\n",
"opt = Variational.DecayedADAGrad()\n",
"\n",
"# will be used as the \"inner\" variational inference algo\n",
"advi = ADVI(1, 5) # run optimization 25 times on ENTIRE dataset\n",
"\n",
"# wrap `ADVI`, providing the full data, the batch generator and total data-size\n",
"svi = SVI(advi, full_data, gen_batch)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:11.959000+02:00",
"start_time": "2019-09-03T17:51:27.314Z"
},
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"┌ Info: [SVI{ADVI}] Should only be seen once: optimizer created for θ\n",
"│ objectid(θ) = 4040853847508768335\n",
"└ @ Turing.Variational /home/tor/.julia/dev/Turing/src/variational/svi.jl:126\n",
"\u001b[32m[SVI{ADVI}] Optimizing...100% Time: 0:06:44\u001b[39m\n"
]
},
{
"data": {
"text/plain": [
"TransformedDistribution{Turing.Core.TuringDiagNormal{Array{Float64,1},Array{Float64,1}},Stacked{Tuple{Inversed{Identity}},1},Multivariate}(\n",
"dist: Turing.Core.TuringDiagNormal{Array{Float64,1},Array{Float64,1}}(\n",
"m: [-0.0328898, 0.0123485, 0.00959929, -0.0181998, 0.0379754, -0.00653553, -0.0021004, 0.0224722, -0.0225695, 0.0311957 … -0.32157, 0.922316, 0.920068, 0.193429, 0.492246, 2.88435, 0.225227, 1.67919, -1.74916, -0.0987295]\n",
"σ: [0.0188955, 0.0219427, 0.0248201, 0.0218318, 0.018239, 0.018572, 0.0216814, 0.0238496, 0.0187545, 0.0197264 … 0.0180857, 0.00799453, 0.0618, 0.0444661, 0.0326439, 0.0562312, 0.0366669, 0.026788, 0.0128687, 0.0328581]\n",
")\n",
"\n",
"transform: Stacked{Tuple{Inversed{Identity}},1}((Inversed{Identity}(Identity()),), (1:7850,))\n",
")\n"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# fit\n",
"q = vi(m, svi)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:13.932000+02:00",
"start_time": "2019-09-03T17:51:27.858Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"-56643.83469464215"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m_full = categorical_nn(full_data..., network_shape, num_params);\n",
"elbo(svi.alg, q, m_full, 10)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.237000+02:00",
"start_time": "2019-09-03T17:51:28.130Z"
},
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"-5.045731649210917e6"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example_batch = first(gen_batch(full_data, 200))\n",
"m = categorical_nn(example_batch..., network_shape, num_params);\n",
"\n",
"elbo(svi, q, m, 10)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.261000+02:00",
"start_time": "2019-09-03T17:51:28.402Z"
}
},
"outputs": [],
"source": [
"using FixedPointNumbers"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.293000+02:00",
"start_time": "2019-09-03T17:51:28.770Z"
},
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"60000-element Array{Array{Float64,2},1}:\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]\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]\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]\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]\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]\n",
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},
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"metadata": {},
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},
{
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"execution_count": 49,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.362000+02:00",
"start_time": "2019-09-03T17:51:29.073Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"arr2img (generic function with 1 method)"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"arr2img(a) = (Gray ∘ FixedPointNumbers.Normed{UInt8,8}).(reshape(a, (28, 28)))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.429000+02:00",
"start_time": "2019-09-03T17:51:29.385Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"predict (generic function with 1 method)"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predict(xs, θ, network_shape) = softmax(nn_forward(xs, θ, network_shape))"
]
},
{
"cell_type": "code",
"execution_count": 51,
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"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.482000+02:00",
"start_time": "2019-09-03T17:51:29.719Z"
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},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"idx = 3\n",
"\n",
"arr2img(data[idx])"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.661000+02:00",
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},
"outputs": [],
"source": [
"res = []\n",
"\n",
"for i = 1:1000\n",
" θ_ = rand(q)\n",
" πs = predict(xs[:, idx], θ_, network_shape)\n",
" \n",
" push!(res, πs)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 53,
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"ExecuteTime": {
"end_time": "2019-09-03T19:58:22.699000+02:00",
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"outputs": [
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],
"source": [
"histogram(argmax.(res) .- 1, bins=10, normed=true, bar_width=1.0)\n",
"xticks!(0:9)\n",
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]
},
{
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},
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"source": [
"imgs = MNIST.images(:test);\n",
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]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
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},
"outputs": [],
"source": [
"data_test = float.(imgs);"
]
},
{
"cell_type": "code",
"execution_count": 56,
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"end_time": "2019-09-03T19:58:22.932000+02:00",
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},
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},
"outputs": [],
"source": [
"data_test = hcat([reshape(d, :) for d in data_test]...);"
]
},
{
"cell_type": "code",
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"end_time": "2019-09-03T19:58:22.983000+02:00",
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],
"text/plain": [
"28×28 Array{Gray{N0f8},2} with eltype Gray{Normed{UInt8,8}}:\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) … Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) … Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) … Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" ⋮ ⋱ \n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) … Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
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" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)\n",
" Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0) Gray{N0f8}(0.0)"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"idx = rand(1:size(data_test, 2))\n",
"\n",
"arr2img(data_test[:, idx])"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:23.010000+02:00",
"start_time": "2019-09-03T17:51:31.954Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
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"metadata": {},
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}
],
"source": [
"xs_test = data_test"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"ExecuteTime": {
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}
},
"outputs": [],
"source": [
"res = []\n",
"\n",
"for i = 1:1000\n",
" θ_ = rand(q)\n",
" πs = predict(xs_test[:, idx], θ_, network_shape)\n",
" \n",
" push!(res, πs)\n",
"end"
]
},
{
"cell_type": "code",
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"metadata": {},
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],
"source": [
"histogram(argmax.(res) .- 1, bins=10, normed=true, bar_width=1.0)\n",
"xticks!(0:9)\n",
"xlims!(0.0, 10.0)"
]
},
{
"cell_type": "code",
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"metadata": {
"ExecuteTime": {
"end_time": "2019-09-03T19:58:35.989000+02:00",
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}
},
"outputs": [],
"source": [
"labels_pred = []\n",
"\n",
"for idx = 1:size(xs_test, 2)\n",
" res = []\n",
"\n",
" for i = 1:10\n",
" θ_ = rand(q)\n",
" πs = predict(xs_test[:, idx], θ_, network_shape)\n",
"\n",
" push!(res, πs)\n",
" end\n",
" \n",
" y_pred = argmax(counts(argmax.(res), 1:10))\n",
" \n",
" if sum(iszero.(y_pred)) > 1\n",
" print(idx)\n",
" end\n",
" \n",
" push!(labels_pred, y_pred)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 62,
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"end_time": "2019-09-03T19:58:36.015000+02:00",
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}
},
"outputs": [
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{
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"end_time": "2019-09-03T19:58:36.041000+02:00",
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{
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}
],
"source": [
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}
],
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