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cs.IT2021
First-Order Theory of Probabilistic Independence and Single-Letter Characterizations of Capacity Regions
Cheuk Ting Li
We consider the first-order theory of random variables with the probabilistic independence relation, which concerns statements consisting of random variables, the probabilistic ind…
cs.IT2021
Multiple-Output Channel Simulation and Lossy Compression of Probability Distributions
Chak Fung Choi, Cheuk Ting Li
We consider a variant of the channel simulation problem with a single input and multiple outputs, where Alice observes a probability distribution from a set of prescribed proba…