Xuyan Liu

activity

20222026

collaborators

5 papers

cs.LG2026

FLAG: Foundation model representation with Latent diffusion Alignment via Graph for spatial gene expression prediction

Qi Si, Penglei Wang, Yushuai Wu +5

Predicting spatial gene expression from routine H\&E enables large-scale molecular profiling, yet current models treat this as isolated pointwise tasks, thereby overlooking essenti…

math.DG2026

Minimal networks on S^2

Xuyan Liu

The minimal network problem is a classical topic in geometric measure theory and the calculus of variations, which aims to find networks of minimal length connecting given points.…

math.CO2023

VC-Dimension of Hyperplanes over Finite Fields

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Let $F_{q}^{d}$ be the $d$ -dimensional vector space over the finite field with $q$ elements. For a subset $E \subseteq F_{q}^{d}$ and a fixed nonzero $t \in F_{q}$ ,…

math.CO2022

VC-Dimension and Distance Chains in $F_{q}^{d}$

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Given a domain $X$ and a collection $H$ of functions $h : X \to {0, 1}$ , the Vapnik-Chervonenkis (VC) dimension of $H$ measures its complexity in an appropriate s…

cs.CG2022

Distinct Angles and Angle Chains in Three Dimensions

Ruben Ascoli, Livia Betti, Jacob Lehmann Duke +6

In 1946, Erdős posed the distinct distance problem, which seeks to find the minimum number of distinct distances between pairs of points selected from any configuration of $n$ poin…

FLAG: Foundation model representation with Latent diffusion Alignment via Graph for spatial gene expression prediction

Minimal networks on S^2

VC-Dimension of Hyperplanes over Finite Fields

VC-Dimension and Distance Chains in Fqd​

Distinct Angles and Angle Chains in Three Dimensions

VC-Dimension and Distance Chains in $F_{q}^{d}$