3 papers
math.CO2026
The Komlós conjecture for complex discrepancy
Nestor Guillen, Vladimir A. Kobzar
The Komlós conjecture is a classic problem in discrepancy theory; it asks whether an absolute constant exists such that given any vectors inside the -di…
math.CO2026
Online Komlós converges to mean curvature flow
Nestor Guillen, Vladimir A. Kobzar
We determine the asymptotics of a game inspired by classic vector balancing problems in combinatorial discrepancy theory. In this game, which we call the online Komlós game, two pl…
cs.LG2026
Neural collapse in the orthoplex regime
James Alcala, Rayna Andreeva, Vladimir A. Kobzar +4
When training a neural network for classification, the feature vectors of the training set are known to collapse to the vertices of a regular simplex, provided the dimension of…