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Robust machine learning by median-of-means: Theory and practice
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/9780470608593.scardopenalex-snapshot
Adaptive and Learning Systems for Signal Processing, Communication, and Control
inferredcites →https://doi.org/10.1006/jcss.1997.1545openalex-snapshot
The Space Complexity of Approximating the Frequency Moments
inferredcites →https://doi.org/10.1007/978-3-319-45282-1_19openalex-snapshot
On Multiplier Processes Under Weak Moment Assumptions
inferredcites →https://doi.org/10.1007/978-3-642-20192-9openalex-snapshot
Statistics for High-Dimensional Data
inferredcites →https://doi.org/10.1007/978-3-642-22147-7_6openalex-snapshot
Penalized Empirical Risk Minimization and Model Selection Problems
inferredcites →https://doi.org/10.1007/bf00536619openalex-snapshot
Robust estimation: A condensed partial survey
inferredcites →https://doi.org/10.1007/s00222-016-0673-5openalex-snapshot
A new method for estimation and model selection: $$\rho $$ ρ -estimation
inferredcites →https://doi.org/10.1007/s00440-010-0302-yopenalex-snapshot
Estimator selection with respect to Hellinger-type risks
inferredcites →https://doi.org/10.1007/s00440-017-0784-yopenalex-snapshot
Learning without concentration for general loss functions
inferredcites →https://doi.org/10.1007/s11222-010-9196-xopenalex-snapshot
Segmentation of the mean of heteroscedastic data via cross-validation
inferredcites →https://doi.org/10.1016/0304-3975(86)90174-xopenalex-snapshot
Random generation of combinatorial structures from a uniform distribution
inferredcites →https://doi.org/10.1016/j.anihpb.2005.04.004openalex-snapshot
Model selection via testing: an alternative to (penalized) maximum likelihood estimators
inferredcites →https://doi.org/10.1016/j.spa.2016.04.013openalex-snapshot
Rho-estimators for shape restricted density estimation
inferredcites →https://doi.org/10.1016/s0003-2670(00)82910-4openalex-snapshot
Least median of squares: a robust method for outlier and model error detection in regression and calibration
inferredcites →https://doi.org/10.1080/01621459.1974.10482962openalex-snapshot
The Influence Curve and Its Role in Robust Estimation
inferredcites →https://doi.org/10.1093/biomet/69.1.242openalex-snapshot
Robust regression using repeated medians
inferredcites →https://doi.org/10.1093/imrn/rnu243openalex-snapshot
Small Ball Probabilities for Linear Images of High-Dimensional Distributions
inferredcites →https://doi.org/10.1093/imrn/rnv096openalex-snapshot
Bounding the Smallest Singular Value of a Random Matrix Without Concentration
inferredcites →https://doi.org/10.1111/j.2517-6161.1996.tb02080.xopenalex-snapshot
Regression Shrinkage and Selection Via the Lasso
inferredcites →https://doi.org/10.1111/rssb.12026openalex-snapshot
Confidence Intervals for Low Dimensional Parameters in High Dimensional Linear Models
inferredcites →https://doi.org/10.1111/rssb.12166openalex-snapshot
Estimation of High Dimensional Mean Regression in the Absence of Symmetry and Light Tail Assumptions
inferredcites →https://doi.org/10.1111/sjos.12032openalex-snapshot
Weakly decomposable regularization penalties and structured sparsity
inferredcites →https://doi.org/10.1214/009053606000000281openalex-snapshot
High-dimensional graphs and variable selection with the Lasso
inferredcites →https://doi.org/10.1214/009053606000000786openalex-snapshot
Risk bounds for statistical learning
inferredcites →https://doi.org/10.1214/009053606000001019openalex-snapshot
Local Rademacher complexities and oracle inequalities in risk minimization
inferredcites →https://doi.org/10.1214/009053607000000839openalex-snapshot
Statistical performance of support vector machines
inferredcites →https://doi.org/10.1214/009053607000000929openalex-snapshot
High-dimensional generalized linear models and the lasso
inferredcites →https://doi.org/10.1214/07-aos582openalex-snapshot
Lasso-type recovery of sparse representations for high-dimensional data
inferredcites →https://doi.org/10.1214/08-aos620openalex-snapshot
Simultaneous analysis of Lasso and Dantzig selector
inferredcites →https://doi.org/10.1214/08-ejs177openalex-snapshot
Sup-norm convergence rate and sign concentration property of Lasso and Dantzig estimators
inferredcites →https://doi.org/10.1214/09-ss054openalex-snapshot
A survey of cross-validation procedures for model selection
inferredcites →https://doi.org/10.1214/11-aihp454openalex-snapshot
Challenging the empirical mean and empirical variance: A deviation study
inferredcites →https://doi.org/10.1214/11-aos918openalex-snapshot
Robust linear least squares regression
inferredcites →https://doi.org/10.1214/13-aos1170openalex-snapshot
Confidence sets in sparse regression
inferredcites →https://doi.org/10.1214/14-aos1221openalex-snapshot
On asymptotically optimal confidence regions and tests for high-dimensional models
inferredcites →https://doi.org/10.1214/15-aoas842openalex-snapshot
SLOPE—Adaptive variable selection via convex optimization
inferredcites →https://doi.org/10.1214/15-aos1397openalex-snapshot
SLOPE is adaptive to unknown sparsity and asymptotically minimax
inferredcites →https://doi.org/10.1214/17-aos1562openalex-snapshot
Regularization and the small-ball method I: Sparse recovery
inferredcites →https://doi.org/10.1214/17-aos1670openalex-snapshot
Slope meets Lasso: Improved oracle bounds and optimality
inferredcites →https://doi.org/10.1214/17-aos1675openalex-snapshot
Rho-estimators revisited: General theory and applications
inferredcites →https://doi.org/10.1214/18-aos1742openalex-snapshot
Estimation bounds and sharp oracle inequalities of regularized procedures with Lipschitz loss functions
inferredcites →https://doi.org/10.1214/19-ejs1647openalex-snapshot
Distributed statistical estimation and rates of convergence in normal approximation
inferredcites →https://doi.org/10.1214/aoms/1177693054openalex-snapshot
A General Qualitative Definition of Robustness
inferredcites →https://doi.org/10.1214/aoms/1177703732openalex-snapshot
Robust Estimation of a Location Parameter
inferredcites →https://doi.org/10.1214/aos/1176348890openalex-snapshot
Breakdown Properties of Location Estimates Based on Halfspace Depth and Projected Outlyingness
inferredcites →https://doi.org/10.1214/aos/1193342380openalex-snapshot
Convergence of Estimates Under Dimensionality Restrictions
inferredcites →https://doi.org/10.2139/ssrn.1763301openalex-snapshot
Robust Logistic Regression for Binomial Responses
inferredcites →https://doi.org/10.3150/14-bej645openalex-snapshot
Geometric median and robust estimation in Banach spaces
inferredcites →https://doi.org/10.3150/17-bej925openalex-snapshot
On optimality of empirical risk minimization in linear aggregation
inferredcites →https://doi.org/10.3150/18-bej1046openalex-snapshot
Regularization, sparse recovery, and median-of-means tournaments
inferredcites →https://doi.org/10.4171/jems/682openalex-snapshot
Sparse recovery under weak moment assumptions
inferredcites →https://doi.org/10.4171/jems/937openalex-snapshot
Risk minimization by median-of-means tournaments
inferredcites →https://doi.org/10.48550/arxiv.1008.4220openalex-snapshot
Structured sparsity-inducing norms through submodular functions
inferredcites →https://doi.org/10.48550/arxiv.1210.5830openalex-snapshot
Choice of V for V-Fold Cross-Validation in Least-Squares Density Estimation
inferredcites →https://doi.org/10.48550/arxiv.1305.4825openalex-snapshot
Learning subgaussian classes : Upper and minimax bounds
inferredcites →https://doi.org/10.48550/arxiv.1608.07681openalex-snapshot
Regularization and the small-ball method II: complexity dependent error rates
inferredcites →https://doi.org/10.48550/arxiv.1702.00482openalex-snapshot
Sub-Gaussian estimators of the mean of a random vector
inferredcites →https://doi.org/10.48550/arxiv.1705.09778openalex-snapshot
Generalized Concomitant Multi-Task Lasso for sparse multimodal regression
inferredcites →https://doi.org/10.48550/arxiv.1810.11726openalex-snapshot
Towards Robust Deep Neural Networks
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4647986openalex-extracted
Arfis: A Model for Regression with Heavy-Tailed Distribution
inferred← citeshttps://doi.org/10.2139/ssrn.4722907openalex-extracted
Robust estimations from distribution structures: I. Mean
inferred← citeshttps://doi.org/10.1007/s10994-019-05863-6openalex-snapshot
Robust classification via MOM minimization
inferred← citeshttps://doi.org/10.1016/j.acha.2020.05.009openalex-snapshot
Learning under (1 + ϵ)-moment conditions
inferred← citeshttps://doi.org/10.1016/j.csda.2021.107370openalex-snapshot
K-bMOM: A robust Lloyd-type clustering algorithm based on bootstrap median-of-means
inferred← citeshttps://doi.org/10.1016/j.spa.2025.104724openalex-snapshot
Uniform bounds for robust mean estimators
inferred← citeshttps://doi.org/10.1051/proc/202374119openalex-snapshot
Topics in robust statistical learning
inferred← citeshttps://doi.org/10.1080/10618600.2022.2090947openalex-snapshot
DeepMoM: Robust Deep Learning With Median-of-Means
inferred← citeshttps://doi.org/10.1093/imaiai/iaac028openalex-snapshot
Sparse recovery by reduced variance stochastic approximation
inferred← citeshttps://doi.org/10.1109/tit.2020.2965738openalex-snapshot
Optimal Variable Selection and Adaptive Noisy Compressed Sensing
inferred← citeshttps://doi.org/10.1146/annurev-statistics-112723-034446openalex-snapshot
A Theoretical Review of Modern Robust Statistics
inferred← citeshttps://doi.org/10.1214/21-ejs1814openalex-snapshot
A MOM-based ensemble method for robustness, subsampling and hyperparameter tuning
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Corruption-Tolerant Algorithms for Generalized Linear Models
inferred← citeshttps://doi.org/10.1609/aaai.v38i12.29250openalex-snapshot
Regroup Median Loss for Combating Label Noise
inferred← citeshttps://doi.org/10.26153/tsw/15001openalex-snapshot
High dimensional robust M-estimation : arbitrary corruption and heavy tails
inferred← citeshttps://doi.org/10.3390/e23111529openalex-snapshot
Still No Free Lunches: The Price to Pay for Tighter PAC-Bayes Bounds
inferred← citeshttps://doi.org/10.3390/electronics11040598openalex-snapshot
Study on Resistant Hierarchical Fuzzy Neural Networks
inferred← citeshttps://doi.org/10.3390/math10060993openalex-snapshot
Statistical Methods with Applications in Data Mining: A Review of the Most Recent Works
inferred← citeshttps://doi.org/10.3390/math11173730openalex-snapshot
Sharper Concentration Inequalities for Median-of-Mean Processes
inferred← citeshttps://doi.org/10.3390/math9060599openalex-snapshot
Robust Estimation and Tests for Parameters of Some Nonlinear Regression Models
inferred← citeshttps://doi.org/10.48550/arxiv.1903.08192openalex-snapshot
Adaptive Hard Thresholding for Near-optimal Consistent Robust Regression
inferred← citeshttps://doi.org/10.48550/arxiv.1904.06288openalex-snapshot
Outlier-robust estimation of a sparse linear model using $\ell_1$-penalized Huber's $M$-estimator
inferred← citeshttps://doi.org/10.48550/arxiv.1906.05741openalex-snapshot
Distributed High-dimensional Regression Under a Quantile Loss Function
inferred← citeshttps://doi.org/10.48550/arxiv.1910.07485openalex-snapshot
Excess risk bounds in robust empirical risk minimization
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Outliers Detection in Networks with Missing Links
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Asymptotic Normality of Robust Risk Minimizers
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