Metric reference

Comparison Catalog

87 entries across 9 input families, including 13 kernels. Entries include mathematical synonyms; each page states its equation and conventions. Use the language toggle for Python or C++ examples.

87 comparisons

Additive Chi-Squared

Vectors · kernel

all-pairspairedcondensedsingle

Affine-Invariant Riemannian

Covariances · distance

all-pairspairedcondensedsingle

Aitchison

Vectors · distance

all-pairspairedcondensedsingle

Angular

Vectors · distance

all-pairspairedcondensedsingle

Bhattacharyya Coefficient

Vectors · kernel

all-pairspairedcondensedsingle

Bhattacharyya Distance

Vectors · distance

all-pairspairedcondensedsingle

Bray-Curtis

Vectors · distance

all-pairspairedcondensedsingle

Canberra

Vectors · distance

all-pairspairedcondensedsingle

Chamfer

Point sets · distance

all-pairspairedcondensedsingle

Chebyshev

Vectors · distance

all-pairspairedcondensedsingle

Chi-Squared Kernel

Vectors · kernel

all-pairspairedcondensedsingle

Clark

Vectors · distance

all-pairspairedcondensedsingle

Correlation Distance

Vectors · distance

all-pairspairedcondensedsingle

Cosine Distance

Vectors · distance

all-pairspairedcondensedsingle

Cosine Similarity

Vectors · kernel

all-pairspairedcondensedsingle

Debiased Soft-DTW

Sequences · distance

all-pairspairedcondensedsingle

Dice

Vectors · distance

all-pairspairedcondensedsingle

Directed Hausdorff

Point sets · distance

all-pairspairedsingle

Discrete Wasserstein

Point sets · distance

all-pairspairedcondensedsingle

Dynamic Time Warping

Sequences · distance

all-pairspairedcondensedsingle

Energy Distance

Point sets · distance

all-pairspairedcondensedsingle

Euclidean

Vectors · distance

all-pairspairedcondensedsingle

Fisher-Rao

Vectors · distance

all-pairspairedcondensedsingle

Gaussian Wasserstein / Bures

Gaussians · distance

all-pairspairedcondensedsingle

Gaussian-Mixture Cauchy-Schwarz

Mixtures · distance

all-pairspairedcondensedsingle

Gaussian-Mixture Entropic Transport

Mixtures · distance

all-pairspairedcondensedsingle

Gaussian-Mixture L2

Mixtures · distance

all-pairspairedcondensedsingle

Gaussian-Mixture Overlap

Mixtures · kernel

all-pairspairedcondensedsingle

Gaussian-Mixture Sinkhorn

Mixtures · distance

all-pairspairedcondensedsingle

Gaussian-Mixture Wasserstein

Mixtures · distance

all-pairspairedcondensedsingle

Hamming

Vectors · distance

all-pairspairedcondensedsingle

Hausdorff

Point sets · distance

all-pairspairedcondensedsingle

Haversine

Vectors · distance

all-pairspairedcondensedsingle

Hellinger

Vectors · distance

all-pairspairedcondensedsingle

Histogram Intersection

Vectors · kernel

all-pairspairedcondensedsingle

Insertion/Deletion

Tokens · distance

all-pairspairedcondensedsingle

Itakura-Saito

Vectors · distance

all-pairspairedsingle

Jaccard

Vectors · distance

all-pairspairedcondensedsingle

Jensen-Shannon

Vectors · distance

all-pairspairedcondensedsingle

Kernel MMD Distance

Point sets · distance

all-pairspairedcondensedsingle

Kulczynski 1

Vectors · distance

all-pairspairedcondensedsingle

Kullback-Leibler

Vectors · distance

all-pairspairedsingle

Kulsinski

Vectors · distance

all-pairspairedcondensedsingle

Laplacian Kernel

Vectors · kernel

all-pairspairedcondensedsingle

Levenshtein

Tokens · distance

all-pairspairedcondensedsingle

Linear Kernel

Vectors · kernel

all-pairspairedcondensedsingle

Log-Euclidean

Covariances · distance

all-pairspairedcondensedsingle

Log-Spectral Distance

Audio · distance

all-pairspairedcondensedsingle

Lorentzian

Vectors · distance

all-pairspairedcondensedsingle

Mahalanobis

Vectors · distance

all-pairspairedcondensedsingle

Manhattan

Vectors · distance

all-pairspairedcondensedsingle

Matérn

Vectors · kernel

all-pairspairedcondensedsingle

Minkowski

Vectors · distance

all-pairspairedcondensedsingle

Multi-Resolution STFT

Audio · distance

all-pairspairedsingle

Multiscale SSIM

Images · score

all-pairspairedcondensedsingle

NaN-Aware Euclidean

Vectors · distance

all-pairspairedcondensedsingle

Neyman Chi-Squared

Vectors · distance

all-pairspairedsingle

Peak Signal-to-Noise Ratio

Images · score

all-pairspairedcondensedsingle

Pearson Chi-Squared

Vectors · distance

all-pairspairedsingle

Polynomial Kernel

Vectors · kernel

all-pairspairedcondensedsingle

RBF / Gaussian Kernel

Vectors · kernel

all-pairspairedcondensedsingle

Rational Quadratic

Vectors · kernel

all-pairspairedcondensedsingle

Rogers-Tanimoto

Vectors · distance

all-pairspairedcondensedsingle

Russell-Rao

Vectors · distance

all-pairspairedcondensedsingle

Ruzicka / Continuous Jaccard

Vectors · distance

all-pairspairedcondensedsingle

Rényi

Vectors · distance

all-pairspairedsingle

Scale-Invariant SDR

Audio · score

all-pairspairedsingle

Shared-Grid 1D Wasserstein

Vectors · distance

all-pairspairedcondensedsingle

Sigmoid Similarity

Vectors · kernel

all-pairspairedcondensedsingle

Signal SNR

Audio · score

all-pairspairedsingle

Sinkhorn Divergence

Point sets · distance

all-pairspairedcondensedsingle

Sliced Wasserstein

Point sets · distance

all-pairspairedcondensedsingle

Soergel

Vectors · distance

all-pairspairedcondensedsingle

Sokal-Michener

Vectors · distance

all-pairspairedcondensedsingle

Sokal-Sneath

Vectors · distance

all-pairspairedcondensedsingle

Spectral Convergence

Audio · distance

all-pairspairedsingle

Squared Euclidean

Vectors · distance

all-pairspairedcondensedsingle

Squared MMD Statistic

Point sets · statistic

all-pairspairedcondensedsingle

Standardized Euclidean

Vectors · distance

all-pairspairedcondensedsingle

Stein / Jensen-Bregman LogDet

Covariances · distance

all-pairspairedcondensedsingle

Structural Similarity / SSIM

Images · score

all-pairspairedcondensedsingle

Symmetric KL / Jeffreys

Vectors · distance

all-pairspairedcondensedsingle

Total Variation

Vectors · distance

all-pairspairedcondensedsingle

Triangular Discrimination

Vectors · distance

all-pairspairedcondensedsingle

Variance-Ratio SNR Distance

Vectors · distance

all-pairspairedsingle

Weighted Minkowski

Vectors · distance

all-pairspairedcondensedsingle

Yule

Vectors · distance

all-pairspairedcondensedsingle

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Comparison Catalog