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math.ST2025
BELIEF in Dependence: Leveraging Atomic Linearity in Data Bits for Rethinking Generalized Linear Models
Benjamin Brown, Kai Zhang, Xiao-Li Meng
Two linearly uncorrelated binary variables must be also independent because non-linear dependence cannot manifest with only two possible states. This inherent linearity is the atom…
math.ST2025
A Heisenberg-esque Uncertainty Principle for Simultaneous (Machine) Learning and Error Assessment?
Xiao-Li Meng
A highly cited and inspiring article by Bates et al (2024) demonstrates that the prediction errors estimated through cross-validation, Bootstrap or Mallow's can all be indepe…