4 papers
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…
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…
Pairwise Multi-marginal Optimal Transport and Embedding for Earth Mover's Distance
Cheuk Ting Li, Venkat Anantharam
We investigate the problem of pairwise multi-marginal optimal transport, that is, given a collection of probability distributions on a Polish space , to find…
Minimax Learning for Remote Prediction
Cheuk Ting Li, Xiugang Wu, Ayfer Ozgur +1
The classical problem of supervised learning is to infer an accurate predictor of a target variable from a measured variable by using a finite number of labeled training sa…