Frank Nielsen's Paper Generalizes Jensen-Shannon Divergence via a Variational Definition
FrnkNlsn · x · 2026-09-22
Frank Nielsen shares his Entropy 2021 paper (arXiv:2102.09728) generalizing the Jensen-Shannon divergence via a variational definition with respect to a generic mean, extending Sibson's information radius. Constraining the variational optimization to prescribed measure families yields relative JS divergences that generalize information projections, with applications to clustering and quantization of probability measures including statistical mixtures. 28 pages.
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