3 papers
cs.LG2026
A Minimal ReLU Classifier on Non-Linearly Separable Data: Convergence and Implicit Bias at and beyond the Edge of Stability
Quan Nguyen, Robin Yadav, Param Mody +1
Gradient descent (GD) with large learning rates can successfully optimize neural networks even though classical smoothness-based learning rate conditions are violated. Yet theory f…
math.AG2026
Expressivity of Shallow Neural Networks Over Finite Fields
Maksym Zubkov, Carol Wu, Shiwei Yang +2
We study the expressivity of shallow polynomial neural networks (PNNs) with monomial activation functions over finite fields. For a given architecture, we define a neuromanifold as…
math.CO2026
Improved bounds for lines and -separated sets in Euclidean Ramsey theory
Gabriel Currier, Param Mody, Zehan Xie +1
Let be a -separated set of diameter at most , and let denote a collection of points on a line, with consecutive points of distance apart. Conlon and Fo…