Generalization ErrorExplores tail bounds, information bounds, and maximal leakage in the context of generalization error.
Probability and StatisticsCovers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.
Probability ConvergenceExplores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.
Central Limit TheoremExplores the Central Limit Theorem, convergence in law, characteristic functions, and moment problems in probability theory.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Quantum MeasurementsExplores projective quantum measurements, system-meter formulation, observable outcomes, and coupling between systems and meters.
Probability and StatisticsCovers fundamental concepts in probability and statistics, including distributions, properties, and expectations of random variables.