The geometric median and applications to robust mean estimation
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Publication:6583521
DOI10.1137/23m1592420MaRDI QIDQ6583521
Stanislav Minsker, Nate Strawn
Publication date: 6 August 2024
Published in: SIAM Journal on Mathematics of Data Science (Search for Journal in Brave)
Cites Work
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- Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm
- Geometric median and robust estimation in Banach spaces
- The lower tail of random quadratic forms with applications to ordinary least squares
- Lectures on convex optimization
- Moment inequalities for sums of dependent random variables under projective conditions
- Random generation of combinatorial structures from a uniform distribution
- \(M\)-estimation, convexity and quantiles
- Sub-Gaussian estimators of the mean of a random vector
- Di talune estensioni dei concetti di media ai caratteri qualitativi.
- Online estimation of the geometric median in Hilbert spaces: nonasymptotic confidence balls
- Robust sub-Gaussian estimation of a mean vector in nearly linear time
- Mean estimation with sub-Gaussian rates in polynomial time
- Robust covariance estimation under \(L_4\)-\(L_2\) norm equivalence
- Weiszfeld's method: old and new results
- Mean estimation and regression under heavy-tailed distributions: A survey
- Tail bounds via generic chaining
- Sur un problème de minimum dans l'espace.
- Learning without concentration
- Loss minimization and parameter estimation with heavy tails
- On a Geometric Notion of Quantiles for Multivariate Data
- A quadratically convergent method for minimizing a sum of euclidean norms
- Small Ball Probabilities for Linear Images of High-Dimensional Distributions
- On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem
- The multivariate L 1 -median and associated data depth
- RSG: Beating Subgradient Method without Smoothness and Strong Convexity
- Small ball probability estimates in terms of width
- Geometric median in nearly linear time
- Note on the median of a multivariate distribution
- Dimension-free bounds for sums of independent matrices and simple tensors via the variational principle
- Multivariate mean estimation with direction-dependent accuracy
- U-statistics of growing order and sub-Gaussian mean estimators with sharp constants
- Robust aggregation for federated learning
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