Xiuyuan Cheng

activity

20122023

most citedDefending against Adversarial Images using Basis Functions Transformations

45 citations · 273 across the 45 of their papers we have counts for

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2 papers · 1 filter

math.SP2017

The Geometry of Nodal Sets and Outlier Detection

Xiuyuan Cheng, Gal Mishne, Stefan Steinerberger

Let $(M, g)$ be a compact manifold and let $- Δ ϕ_{k} = λ_{k} ϕ_{k}$ be the sequence of Laplacian eigenfunctions. We present a curious new phenomenon which, so far, we only managed to under…

math.SP2016★ 12 cited

On the Diffusion Geometry of Graph Laplacians and Applications

Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger

We study directed, weighted graphs $G = (V, E)$ and consider the (not necessarily symmetric) averaging operator $(L u) (i) = - j \sim i \sum p_{ij} (u (j) - u (i)),$ whe…