Search Results for author: Andrew Thangaraj

Found 2 papers, 1 papers with code

Just Wing It: Optimal Estimation of Missing Mass in a Markovian Sequence

1 code implementation8 Apr 2024 Ashwin Pananjady, Vidya Muthukumar, Andrew Thangaraj

Operating in the general setting in which the size of the state space may be much larger than the length $n$ of the trajectory, we develop a linear-runtime estimator called \emph{Windowed Good--Turing} (\textsc{WingIt}) and show that its risk decays as $\widetilde{\mathcal{O}}(\mathsf{T_{mix}}/n)$, where $\mathsf{T_{mix}}$ denotes the mixing time of the chain in total variation distance.

How good is Good-Turing for Markov samples?

no code implementations3 Feb 2021 Prafulla Chandra, Andrew Thangaraj, Nived Rajaraman

In this work, we study convergence of the GT estimator for missing stationary mass (i. e., total stationary probability of missing symbols) of Markov samples on an alphabet $\mathcal{X}$ with stationary distribution $[\pi_x:x \in \mathcal{X}]$ and transition probability matrix (t. p. m.)

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