4 papers
Zero-Shot Size Transfer for Neural ODEs on Sparse Random Graphs: Graphon Limits and Adjoint Convergence
Mingsong Yan, Zhida Wang, Sui Tang
Graph Neural Differential Equations (GNDEs) model continuous-time graph dynamics by parameterizing Neural ODE velocity fields with Graph Neural Networks. Their local, size-independ…
Transformers Can Implement Preconditioned Richardson Iteration for In-Context Gaussian Kernel Regression
Mingsong Yan, Dongyang Li, Charles Kulick +1
In this paper, we study in-context kernel ridge regression (KRR) with Gaussian kernels and show, both theoretically and empirically, that a standard softmax-attention transformer c…
Random space-time sampling and reconstruction of sparse bandlimited graph diffusion field
Longxiu Huang, Dongyang Li, Sui Tang +1
In this work, we investigate the sampling and reconstruction of spectrally -sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time…
Convolutional dynamical sampling and some new results
Longxiu Huang, A. Martina Neuman, Sui Tang +1
In this work, we explore the dynamical sampling problem on driven by a convolution operator defined by a convolution kernel. This problem is inspired by the ne…