Under explicit injectivity and smoothness assumptions, grouped language probabilities can be inverted into state posteriors, with nonparametric rates, partial-identification sets, and a minimax limit on stability certification.
Victor Chernozhukov, Han Hong, and Elie Tamer
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Identification and Learning of Semantic Observation Kernels: Partial Observation, Uniform Recovery, & Minimax Limits
Under explicit injectivity and smoothness assumptions, grouped language probabilities can be inverted into state posteriors, with nonparametric rates, partial-identification sets, and a minimax limit on stability certification.