2 papers
cs.LG2025
NdLinear: Preserving Multi-Dimensional Structure for Parameter-Efficient Neural Networks
Alex Reneau, Jerry Yao-Chieh Hu, Zhongfang Zhuang +6
In deep learning, processing multidimensional inputs (e.g., images, medical scans, and time series) is an important task that often requires flattening the inputs. We introduce $\m…
math.FA2022
A Degenerate Hopf Bifurcation Theorem in Infinite Dimensions
Hongjing Pan, Ruixiang Xing, Zhannan Zhuang
A Hopf bifurcation theorem is established for the abstract evolution equation in infinite dimensions under the degeneracy condition $Re μ^{…