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"text": [
"\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mRecompiling stale cache file /home/dave/.julia/lib/v0.6/Plots.ji for module Plots.\n",
"\u001b[39m"
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}
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"source": [
"using Distances, Distributions, Plots"
]
},
{
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"execution_count": 2,
"metadata": {},
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"data": {
"text/plain": [
"2×2 Array{Float64,2}:\n",
" 1.0 1.0\n",
" 1.0 2.0"
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"execution_count": 2,
"metadata": {},
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"source": [
"Σ = [1. 1.\n",
" 1. 2.]"
]
},
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"data": {
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"2-element Array{Int64,1}:\n",
" 0\n",
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],
"source": [
"μ = [0, 0]"
]
},
{
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"text/plain": [
"2×1000 Array{Float64,2}:\n",
" 0.0543503 0.702614 0.765423 … -0.422665 1.13645 0.362103\n",
" -0.594503 -0.0325166 -0.0823258 0.309907 4.02212 0.575963"
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"source": [
"xs = rand(MvNormal(μ, Σ), 1000)"
]
},
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"2×100 Array{Float64,2}:\n",
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" -3.67528 -2.14501 -1.18695 1.07279 -0.981576 -0.59408 4.8026 "
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"source": [
"outliers = rand(2, 100) * 10 .- 5"
]
},
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"data": {
"text/plain": [
"FullNormal(\n",
"dim: 2\n",
"μ: [-0.0637573, 0.0248265]\n",
"Σ: [1.63932 0.849359; 0.849359 2.61143]\n",
")\n"
]
},
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],
"source": [
"fitted = fit_mle(MvNormal, [xs outliers])"
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},
{
"cell_type": "code",
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{
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},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"xs_os = [xs outliers]\n",
"dist = Mahalanobis(inv(fitted.Σ.mat))\n",
"dists = mapslices(x->evaluate(dist, x, fitted.μ), xs_os, 1)\n",
"\n",
"scatter(xs_os[1,:], xs_os[2,:], markerz=vec(dists))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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