File:Alpha-divergence.svg

Summary

Description
English: created in Julia

```julia using Plots, LaTeXStrings, ColorSchemes function f(t, a)

   return (t^a - a*t - (1-a))/(a*(a-1))

end

const xmin = 0 const xmax = 4 colors = ColorScheme(range(colorant"red", colorant"blue", length=5)) plot() plot!(t-> f(t, 2), xmin, xmax, ylim = (-0.1, 3), color=colors[1], label="Pearson-"*L"χ^2: α=2") plot!(t-> t*log(t)-t+1, xmin, xmax, color=colors[2], linestyle=:dash, label="KL: "*L"α = 1") plot!(t-> f(t, 0.5), xmin, xmax, ylim = (-0.1, 3), color=colors[3], label="Hellinger²: "*L"α=0.5") plot!(t->-log(t)+t-1, xmin, xmax, color=colors[4], linestyle=:dash, label="reverse KL: "*L"α = 0") plot!(t-> f(t, -1), xmin, xmax, ylim = (-0.1, 3), color=colors[5], label="Neyman-"*L"χ^2: α=-1")

```
Date
Source Own work
Author Cosmia Nebula

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Category:CC-BY-SA-4.0#Alpha-divergence.svgCategory:Self-published work
Category:Probability theory Category:Statistical distance measures Category:Created with Matplotlib
Category:CC-BY-SA-4.0 Category:Created with Matplotlib Category:Probability theory Category:Self-published work Category:Statistical distance measures