Frank Nielsen's Paper on Geometric Jensen-Shannon Divergence for Gaussian Measures Accepted
FrnkNlsn · x · 2026-10-12
Frank Nielsen announced that his paper with Hà Quang Minh, "Geometric Jensen-Shannon Divergence Between Gaussian Measures On Hilbert Space," has been accepted. It derives a closed-form geometric Jensen-Shannon divergence for Gaussian measures equivalent to a fixed one on infinite-dimensional Hilbert space, generalizing the finite-dimensional case, and uses Log-Determinant divergences over positive trace-class operators to define a regularized version valid for any pair of Gaussian measures, recovering the exact divergence as the regularization parameter tends to zero.
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