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math.PR2026
Effective-dimension bounds in the central limit theorem for centered Euclidean balls
Alexey Naumov, Sergey Samsonov, Vladimir Spokoiny +1
We establish a nonasymptotic Gaussian approximation bound over centered Euclidean balls for sums of independent, not necessarily identically distributed, random vectors in \(\mathb…
math.OC2026
Mathematical methods of reinforcement learning
Denis Belomestny, Alexander Gasnikov, Egor Gladin +5
Reinforcement learning (RL) is increasingly grounded in tools from probability, optimization, and operator theory. This survey organizes the mathematical structures that underpin t…