Establishes an explicit strong-convexity modulus for the barycentric variance functional on Alexandrov spaces, implying Hölder stability of barycenters and empirical consistency bounds without using linear structure.
Panaretos and Yoav Zemel
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Experimentally derived mosquito extrinsic incubation period distributions delay and flatten dengue epidemic peaks, reduce peak intensity, and slightly prolong crisis duration compared to exponential assumptions, while leaving outbreak probability largely unchanged.
Sharp convergence rates and concentration bounds are established for empirical measures of point processes under a newly introduced Wasserstein distance on counting measures.
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CTGAN and LLMs generate synthetic student data that passes statistical and predictive utility checks for learning analytics.
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