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math.CO2026
An optimal constant for vector balancing with permutations
Jonathan Niles-Weed, Shay Sadovsky, Jacob Shkrob
We present a version of the vector balancing problem in which each vector may be given a sign and a permutation of its coordinates. We prove that this vector balancing problem and…
math.PR2026
The Mean-Field Limit of Online Stochastic Vector Balancing
Christian Fiedler, Joe Jackson, Daniel Lacker +1
We study an online vector balancing problem, in which independent Gaussian random vectors , each of dimension $n…