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Journal of the American Statistical Association, ISSN 0162-1459, 12/2006, Volume 101, Issue 476, pp. 1418 - 1429
Journal Article
by Jiang, WX and Li, C
BAYESIAN ANALYSIS, ISSN 1931-6690, 03/2019, Volume 14, Issue 1, pp. 235 - 260
When model uncertainty is handled by Bayesian model averaging (BMA) or Bayesian model selection (BMS), the posterior distribution possesses a desirable "oracle... 
Bayesian model selection | model averaging | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODEL SELECTION | oracle property | STATISTICS & PROBABILITY | cubic root asymptotics | INFERENCE | consistency | partial identification | GIBBS POSTERIOR
Journal Article
Journal of the American Statistical Association, ISSN 0162-1459, 12/2001, Volume 96, Issue 456, pp. 1348 - 1360
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 02/2020, Volume 157, p. 108631
The composition of a concave penalty and the -norm of grouped coefficients allows for selecting groups and identifying important predictors within a group.... 
Oracle property | Concave penalties | Group variable selection
Journal Article
by Fan, YY and Lv, JC
BIOMETRIKA, ISSN 0006-3444, 03/2014, Volume 101, Issue 1, pp. 57 - 70
Two important goals of high-dimensional modelling are prediction and variable selection. In this article, we consider regularization with combined L-1 and... 
REGRESSION | DANTZIG SELECTOR | Prediction | Global optimum | STATISTICS & PROBABILITY | ORACLE PROPERTIES | NONCONCAVE PENALIZED LIKELIHOOD | Lasso penalty | Concave penalty | LASSO | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Variable selection
Journal Article
The Annals of Statistics, ISSN 0090-5364, 10/2009, Volume 37, Issue 5B, pp. 2922 - 2952
We consider estimating an unknown signal, both blocky and sparse, which is corrupted by additive noise. We study three interrelated least squares procedures... 
Error rates | Estimation bias | Asymptotic properties | Least squares | Analytical estimating | Coordinate systems | Modeling | Estimators | Consistent estimators | Oracles | Fused lasso | Sieve least squares | Consistency | MULTIRESOLUTION | STRINGS | CONVERGENCE | STATISTICS & PROBABILITY | OPTIMIZATION | SELECTION | consistency | sieve least squares | LOCAL EXTREMES | RUNS | 62G20 | 62G08
Journal Article
The Annals of Statistics, ISSN 0090-5364, 4/2008, Volume 36, Issue 2, pp. 587 - 613
Journal Article
JOURNAL OF MACHINE LEARNING RESEARCH, ISSN 1532-4435, 2019, Volume 20
We consider the problem of noisy matrix completion, in which the goal is to reconstruct a structured matrix whose entries are partially observed in noise.... 
oracle inequalities | DECOMPOSITIONS | RECOVERY | recommender systems | FACTORIZATION | permutation-based model | minimax theory | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Non-negative matrix completion
Journal Article
Journal of Multivariate Analysis, ISSN 0047-259X, 11/2018, Volume 168, pp. 334 - 351
This paper studies the asymptotic properties of a sparse linear regression estimator, referred to as broken adaptive ridge (BAR) estimator, resulting from an... 
Feature selection | Oracle estimator | Sparsity recovery | Grouping effect | [formula omitted]-penalized regression | penalized regression | ULTRAHIGH-DIMENSIONAL DATA | STATISTICS & PROBABILITY | MICROBIOTA | VARIABLE SELECTION | ORACLE PROPERTIES | MODEL SELECTION | ESTIMATORS | COORDINATE DESCENT | LASSO | OBESE | REGULARIZATION | L-0-penalized regression | Analysis | Algorithms
Journal Article
Scandinavian Journal of Statistics, ISSN 0303-6898, 06/2016, Volume 43, Issue 2, pp. 610 - 624
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2018
The literature on membrane computing describes several variants of P systems whose complexity classes C are “closed under exponentiation” that is, they satisfy... 
Closure under exponentiation | Oracle machines | Membrane computing
Journal Article
Journal of Complexity, ISSN 0885-064X, 10/2014, Volume 30, Issue 5, pp. 647 - 671
Computable analysis is an extension of classical discrete computability by enhancing the normal Turing machine model. It investigates mathematical analysis... 
Polynomial time computable functional | Norm | Computable analysis | Non-deterministic complexity | Oracle Turing machine | Computational complexity | MATHEMATICS | COMPUTATIONAL-COMPLEXITY | MATHEMATICS, APPLIED | COMPLEXITY THEORY | OPERATORS | Logic in Computer Science | Mathematics | General Topology | Computer Science | Computational Complexity
Journal Article
Statistica Sinica, ISSN 1017-0405, 7/2017, Volume 27, Issue 3, pp. 1243 - 1264
This paper studies sparse linear regression analysis with outliers in the responses. A parameter vector for modeling outliers is added to the standard linear... 
Algorithmic and statistical convergence | Support recovery | Robust estimation | Sparse linear regression | sparse linear regression | RECOVERY | SHRINKAGE | robust estimation | LASSO | STATISTICS & PROBABILITY | MODEL | REGULARIZATION | support recovery | VARIABLE SELECTION | ORACLE PROPERTIES
Journal Article
Statistics, ISSN 0233-1888, 07/2017, Volume 51, Issue 4, pp. 921 - 947
This paper concerns a robust variable selection method in multiple linear regression: the robust S-nonnegative garrote variable selection method. In this paper... 
S-estimation | ordinary least-squares estimator | nonnegative garrote | outliers | variable selection | Breakdown point | consistency | influence function | STATISTICS & PROBABILITY | ORACLE PROPERTIES | P-SPLINES | MODELS | LASSO | REGRESSION SHRINKAGE | SCALE
Journal Article
Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 10/2019, Volume 71, Issue 5, pp. 1093 - 1119
Journal Article