AI RESEARCH
The Wristband Gaussian Loss: Deterministic, Composable Latents via a Sphere-Interval Decomposition
arXiv CS.LG
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ArXi:2605.08749v1 Announce Type: new We present the Wristband Gaussian Loss, a deterministic batch loss for Gaussianizing point embeddings without sampling, KL terms, or iterative transport. Each $x \in \mathbb{R}^d$ is mapped to a direction $u = x/\|x\|$ and a CDF-transformed radius $t = F_{\chi^2_d}(\|x\|^2)$ on the wristband $S^{d-1} \times [0,1