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The problem of population recovery refers to estimating a distribution based on incomplete or corrupted samples.
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Some problems on nonparametric estimation in gaussian white noise
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Population recovery and partial identification
A polynomial time algorithm for lossy population recovery
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Learning arbitrary statistical mixtures of discrete distributions
Jian Li, Yuval Rabani, Leonard J Schulman, and Chaitanya Swamy · 2015
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Improved noisy population recovery, and reverse Bonami-Beckner inequality for sparse functions
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Trace reconstruction with exp ( O ( n 1 / 3 ) ) \exp({O}(n^{1/3})) samples
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Avi Wigderson and Amir Yehudayoff · 2012
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Finding heavy hitters from lossy or noisy data
Lucia Batman, Russell Impagliazzo, Cody Murray, and Ramamohan Paturi · 2013
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Optimal mean-based algorithms for trace reconstruction
Anindya De, Ryan O’Donnell, and Rocco Servedio
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Noisy population recovery in polynomial time
Anindya De, Michael Saks, and Sijian Tang
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Optimal prediction of the number of unseen species
Alon Orlitsky, Ananda Theertha Suresh, and Yihong Wu · 2016
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Sharp bounds for population recovery
Anindya De, Ryan O’Donnell, and Rocco Servedio · 2017
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