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kleinschmidt/Mahalanobis outlier detection.ipynb

Last active April 26, 2018 19:01
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Mahalanobis outlier detection.ipynb
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"\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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"source": [
"using Distances, Distributions, Plots"
]
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"source": [
"Σ = [1. 1.\n",
" 1. 2.]"
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"source": [
"μ = [0, 0]"
]
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"2×1000 Array{Float64,2}:\n",
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"source": [
"xs = rand(MvNormal(μ, Σ), 1000)"
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"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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