Author name: Tengyuan Liang

arXiv:2511.09500v4 Announce Type: replace-cross
Abstract: We study the problem of denoising when only the noise level is known, not the noise distribution. Independent noise $Z$ corrupts a signal $X$, yielding the observation $Y = X + \sigma Z$ with k…

arXiv:2512.09295v3 Announce Type: replace-cross
Abstract: Consider the additive Gaussian model $Y = X + \sigma Z$, where $X \sim P$ is an unknown signal, $Z \sim N(0,1)$ is independent of $X$, and $\sigma > 0$ is known. Let $Q$ denote the law of $Y$. …