mailitics

Tag: triangle

  • Relaxed Triangle Inequality for Kullback-Leibler Divergence Between Multivariate Gaussian Distributions

    Relaxed Triangle Inequality for Kullback-Leibler Divergence Between Multivariate Gaussian Distributions arXiv:2602.02577v1 Announce Type: new Abstract: The Kullback-Leibler (KL) divergence is not a proper distance metric and does not satisfy the triangle inequality, posing theoretical challenges in certain practical applications. Existing work has demonstrated that KL divergence between multivariate Gaussian distributions follows a relaxed triangle inequality.…

  • A formula for the area of a triangle: Useless, but explicitly in Deep Sets form

    A formula for the area of a triangle: Useless, but explicitly in Deep Sets form arXiv:2503.22786v1 Announce Type: cross Abstract: Any permutation-invariant function of data points $vec{r}_i$ can be written in the form $rho(sum_iphi(vec{r}_i))$ for suitable functions $rho$ and $phi$. This form – known in the machine-learning literature as Deep Sets – also generates a…