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math.ST2026
Statistical Properties of Nonparametric MLE under Laplace Noise
Yifei Xiong, Nianqiao Phyllis Ju, Vinayak Rao
Local differential privacy (LDP) protects individuals in a dataset by perturbing each measurement before release. For real-valued data, a widely used mechanism is additive Laplace…
math.ST2025
Adaptive Estimation of the Transition Density of Controlled Markov Chains
Imon Banerjee, Vinayak Rao, Harsha Honnappa
Estimating the transition dynamics of controlled Markov chains is crucial in fields such as time series analysis, reinforcement learning, and system exploration. Traditional non-pa…