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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…
math.PR2025
Fuk-Nagaev inequality in smooth Banach spaces: Optimum bounds for distributions of heavy-tailed martingales
Mattes Mollenhauer, Christian Fiedler
We derive a Fuk-Nagaev inequality for the maxima of norms of martingale sequences in smooth Banach spaces which allow for a finite number of higher conditional moments. The bound i…