Probability Theory

Near-Optimal Clustering in Mixture of Markov Chains featured image

Near-Optimal Clustering in Mixture of Markov Chains

We study the problem of clustering T trajectories of length H, each generated by one of K unknown ergodic Markov chains over a finite state space of size S. The goal is to …

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Junghyun Lee
Probability-Flow ODE in Infinite-Dimensional Function Spaces featured image

Probability-Flow ODE in Infinite-Dimensional Function Spaces

Recent advances in infinite-dimensional diffusion models have demonstrated their effectiveness and scalability in function generation tasks where the underlying structure is …

kunwoo-na
Nearly Optimal Latent State Decoding in Block MDPs featured image

Nearly Optimal Latent State Decoding in Block MDPs

First theoretical analysis of model estimation and reward-free RL of block MDP, without resorting to function approximation frameworks. Lower bounds and algorithms with …

yassir-jedra