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Sample Complexity of Testing the Manifold Hypothesis
Given upper bounds on the dimension, volume, and curvature, we show that Empirical Risk Minimization can produce a nearly optimal manifold using a number of random samples that is {\it independent} of the ambient dimension of the space in which data lie.
Probabilistic Belief Revision with Structural Constraints
Experts (human or computer) are often required to assess the probability of uncertain events.
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