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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" | |
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}, | |
{ | |
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"text/plain": [ | |
"arr2img (generic function with 1 method)" | |
] | |
}, | |
"execution_count": 49, | |
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], | |
"source": [ | |
"arr2img(a) = (Gray ∘ FixedPointNumbers.Normed{UInt8,8}).(reshape(a, (28, 28)))" | |
] | |
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{ | |
"cell_type": "code", | |
"execution_count": 50, | |
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} | |
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"predict (generic function with 1 method)" | |
] | |
}, | |
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} | |
], | |
"source": [ | |
"predict(xs, θ, network_shape) = softmax(nn_forward(xs, θ, network_shape))" | |
] | |
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{ | |
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] | |
}, | |
"execution_count": 51, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"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", | |
"start_time": "2019-09-03T17:51:30.017Z" | |
} | |
}, | |
"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, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:22.699000+02:00", | |
"start_time": "2019-09-03T17:51:30.331Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
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}, | |
"execution_count": 53, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"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", | |
"execution_count": 54, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:22.747000+02:00", | |
"start_time": "2019-09-03T17:51:30.633Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"imgs = MNIST.images(:test);\n", | |
"labels = MNIST.labels(:test) .+ 1;" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 55, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:22.801000+02:00", | |
"start_time": "2019-09-03T17:51:30.945Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"data_test = float.(imgs);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 56, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:22.932000+02:00", | |
"start_time": "2019-09-03T17:51:31.170Z" | |
}, | |
"scrolled": true | |
}, | |
"outputs": [], | |
"source": [ | |
"data_test = hcat([reshape(d, :) for d in data_test]...);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 57, | |
"metadata": { | |
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"end_time": "2019-09-03T19:58:22.983000+02:00", | |
"start_time": "2019-09-03T17:51:31.447Z" | |
} | |
}, | |
"outputs": [ | |
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}, | |
"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", | |
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"metadata": { | |
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"end_time": "2019-09-03T19:58:23.010000+02:00", | |
"start_time": "2019-09-03T17:51:31.954Z" | |
}, | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
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} | |
], | |
"source": [ | |
"xs_test = data_test" | |
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}, | |
{ | |
"cell_type": "code", | |
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"metadata": { | |
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"end_time": "2019-09-03T19:58:23.488000+02:00", | |
"start_time": "2019-09-03T17:51:32.274Z" | |
} | |
}, | |
"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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} | |
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] | |
}, | |
"execution_count": 60, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"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", | |
"execution_count": 61, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:35.989000+02:00", | |
"start_time": "2019-09-03T17:51:33.249Z" | |
} | |
}, | |
"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, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:36.015000+02:00", | |
"start_time": "2019-09-03T17:51:33.691Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"10000" | |
] | |
}, | |
"execution_count": 62, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"length(labels_pred)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 63, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2019-09-03T19:58:36.041000+02:00", | |
"start_time": "2019-09-03T17:51:35.625Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.9078" | |
] | |
}, | |
"execution_count": 63, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"sum(labels .== labels_pred) / length(labels)" | |
] | |
} | |
], | |
"metadata": { | |
"@webio": { | |
"lastCommId": null, | |
"lastKernelId": null | |
}, | |
"kernelspec": { | |
"display_name": "Julia 1.0.4", | |
"language": "julia", | |
"name": "julia-1.0" | |
}, | |
"language_info": { | |
"file_extension": ".jl", | |
"mimetype": "application/julia", | |
"name": "julia", | |
"version": "1.0.4" | |
}, | |
"notify_time": "5", | |
"toc": { | |
"base_numbering": 1, | |
"nav_menu": {}, | |
"number_sections": true, | |
"sideBar": true, | |
"skip_h1_title": false, | |
"title_cell": "Table of Contents", | |
"title_sidebar": "Contents", | |
"toc_cell": false, | |
"toc_position": {}, | |
"toc_section_display": true, | |
"toc_window_display": false | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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