= Purnamrita Sarkar
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= Purna Sarkar
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{synonym}
<Purnamrita Sarkar> works at the intersection of <high-dimensional statistics>, <statistical learning theory>[machine-learning theory], <differential privacy> and <optimization>[large-scale optimization]. Her University of Texas at Austin profile describes this combination of statistical and computational research.https://stat.utexas.edu/directory/purnamrita-purna-sarkar[Institutional biography and research fields]{ref}
Her lecture on the <Efron–Stein inequality> presents a general way to control the <variance> of a <function> of independent inputs: compare the <function> with versions in which one input is independently replaced. For a sum, the resulting bound recovers the familiar sum of <variance>[variances]; for a complicated <estimator>, it gives a route to uncertainty control without expanding every <covariance> term.<Lecture 7a: Efron Stein inequality by Purnamrita Sarkar>[PDF pp. 1–9, independent-copy bound and equality for sums]{ref}
https://stat.utexas.edu/directory/purnamrita-purna-sarkar
\Image[https://www.oden.utexas.edu/media/directory-assets/profile-imgs/purna.png]
{title=Portrait of Purnamrita Sarkar}
{width=220}
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