Different metrics supported by faasle

[Qazalbash]

• BhattacharyyaDist -log(sum(sqrt(x .* y) / sqrt(sum(x) * sum(y)))
• BrayCurtis sum(abs(x - y)) / sum(abs(x + y))
• Bregman F(x) - F(y) - inner(∇(y), x - y)
• Chebyshev max(abs(x - y))
• ChiSqDist sum((x - y).^2 / (x + y))
• Cityblock sum(abs(x - y))
• CorrDist cosine_dist(x - mean(x), y - mean(y))
• CosineDist 1 - dot(x, y) / (norm(x) * norm(y))
• Euclidean sqrt(sum((x - y) .^ 2))
• GenKLDivergence sum(p .* log(p ./ q) - p + q)
• Hamming sum(k .!= l)
• Haversine Haversine formula
• HellingerDist sqrt(1 - sum(sqrt(x .* y) / sqrt(sum(x) * sum(y))))
• Jaccard 1 - sum(min(x, y)) / sum(max(x, y))
• JSDivergence KL(p, m) / 2 + KL(q, m) / 2 with m = (p + q) / 2
• KLDivergence sum(p .* log(p ./ q))
• Mahalanobis sqrt((x - y)' * Q * (x - y))
• MeanAbsDeviation mean(abs.(x - y))
• MeanSqDeviation mean(abs2.(x - y))
• Minkowski sum(abs(x - y).^p) ^ (1/p)
• NormRMSDeviation rmsd(x, y) / (maximum(x) - minimum(x))
• PeriodicEuclidean sqrt(sum(min(mod(abs(x - y), w), w - mod(abs(x - y), w)).^2))
• RenyiDivergence log(sum( p .* (p ./ q) .^ (k - 1))) / (k - 1)
• RMSDeviation sqrt(msd(x, y))
• RogersTanimoto 2(sum(a&!b) + sum(!a&b)) / (2(sum(a&!b) + sum(!a&b)) + sum(a&b) + sum(!a&!b))
• SpanNormDist max(x - y) - min(x - y)
• SphericalAngle Haversine formula
• SqEuclidean sum((x - y).^2)
• SqMahalanobis (x - y)' * Q * (x - y)
• TotalVariation sum(abs(x - y)) / 2