Works (32)

Updated: July 24th, 2023 21:17

2019 journal article

Multiclass Probability Estimation With Support Vector Machines

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 28(3), 586–595.

By: X. Wang*, H. Zhang* & Y. Wu*

author keywords: LDA; Logistic regression; Multiclass classification; Probability estimation; Support vector machines
TL;DR: This article proposes a simple yet effective framework to endow kernel SVMs with the feature of multiclass probability estimation and demonstrates competitive performance of the new estimator when compared with existing methods such as multiple logistic regression, linear discrimination analysis, tree-based methods, and random forest, under various classification settings. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: April 20, 2020

2014 journal article

Adaptive Elastic Net for Generalized Methods of Moments

JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 32(1), 30–47.

By: M. Caner* & H. Zhang*

author keywords: GMM; Oracle property; Penalized estimators
TL;DR: A new technique is introduced that can simultaneously estimate and select the model in generalized method of moments (GMM) context and has the oracle property, meaning that it can estimate nonzero parameters with their standard limit and the redundant parameters are dropped from the equations simultaneously. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Two-dimensional solution surface for weighted support vector machines

Journal of Computational and Graphical Statistics, 23(2), 383–402.

By: S. Shin n, Y. Wu n & H. Zhang*

TL;DR: This article establishes that the WSVM solutions are jointly piecewise-linear with respect to both the regularization and weight parameter and develops a state-of-the-art algorithm that can compute the entire trajectory of theWSVM solutions for every pair of the regularized parameter and the weight parameter at a feasible computational cost. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Consistent Group Identification and Variable Selection in Regression With Correlated Predictors

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 22(2), 319–340.

By: D. Sharma*, H. Bondell n & H. Zhang n

author keywords: Coefficient shrinkage; Correlation; Oracle properties; Penalization; Structure identification; Supervised clustering
TL;DR: A penalization procedure is proposed that performs variable selection while clustering groups of predictors automatically, and compares favorably with existing selection approaches in both prediction accuracy and model discovery, while retaining its computational efficiency. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Variable selection for optimal treatment decision

STATISTICAL METHODS IN MEDICAL RESEARCH, 22(5), 493–504.

By: W. Lu n, H. Zhang n & D. Zeng*

author keywords: A-learning; optimal treatment strategy; personalized drugs; shrinkage method; variable selection
MeSH headings : Decision Making; Female; Humans; Male; Models, Theoretical; Precision Medicine
TL;DR: A new penalized regression framework is proposed which can simultaneously estimate the optimal treatment strategy and identify important variables and greatly facilitates implementation and statistical inferences for the estimator. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Variable selection for covariate-adjusted semiparametric inference in randomized clinical trials

STATISTICS IN MEDICINE, 31(29), 3789–3804.

By: S. Yuan n, H. Zhang n & M. Davidian n

author keywords: covariate adjustment; false selection rate control; oracle property; semiparametric treatment effect estimation; shrinkage methods; variable selection
MeSH headings : Algorithms; Humans; Models, Statistical; Randomized Controlled Trials as Topic / statistics & numerical data; Research Design; Selection Bias; Statistics, Nonparametric
TL;DR: It is demonstrated that objective variable selection techniques combined with a semiparametric framework can identify key variables and lead to unbiased and efficient inference on the treatment effect and show its superior performance relative to that of existing methods. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

Hard or Soft Classification? Large-Margin Unified Machines

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 106(493), 166–177.

By: Y. Liu n, H. Zhang n & Y. Wu n

author keywords: Class probability estimation; DWD; Fisher consistency; Regularization; SVM
TL;DR: A novel family of large- margin classifiers, namely large-margin unified machines (LUMs), which covers a broad range of margin-based classifiers including both hard and soft ones are proposed and theoretical consistency and numerical performance of LUMs are explored. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Linear or Nonlinear? Automatic Structure Discovery for Partially Linear Models

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 106(495), 1099–1112.

By: H. Zhang n, G. Cheng n & Y. Liu n

author keywords: Model selection; RKHS; Semiparametric regression; Shrinkage; Smoothing splines
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Surface estimation, variable selection, and the nonparametric oracle property

Statistica Sinica, 21(2), 679–705.

By: C. Storlie, H. Bondell, B. Reich & H. Zhang

Source: NC State University Libraries
Added: August 6, 2018

2010 journal article

Bayesian Inference of Odds Ratios in Misclassified Binary Data with a Validation Substudy

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 39(10), 1845–1854.

By: D. Rahardja*, Y. Zhao* & H. Zhang n

author keywords: Bayesian inference; Binary data; Credible interval; Misclassification; Odds ratio
TL;DR: A fully Bayesian model with a non-informative prior for analyzing misclassified binary data with a validation substudy is proposed and a closed-form algorithm for drawing all parameters from the posterior distribution and making statistical inference on odds ratios is derived. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2010 journal article

On Estimation of Partially Linear Transformation Models

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 105(490), 683–691.

By: W. Lu n & H. Zhang n

author keywords: Estimating equations; Local polynomials; Martingale; Resampling
TL;DR: A new martingale-based estimating equation approach, consisting of both global and kernel-weighted local estimation equations, is developed for estimating the parametric and nonparametric covariate effects in a unified manner, showing that with a proper choice of the kernel bandwidth parameter, one can obtain the consistent and asymptotically normal parameter estimates for the linear effects. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

On sparse estimation for semiparametric linear transformation models

JOURNAL OF MULTIVARIATE ANALYSIS, 101(7), 1594–1606.

By: H. Zhang n, W. Lu n & H. Wang*

author keywords: Censored survival data; Linear transformation models; LARS; Shrinkage; Variable selection
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Robust Model-Free Multiclass Probability Estimation

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 105(489), 424–436.

By: Y. Wu n, H. Zhang n & Y. Liu n

author keywords: Fisher consistency; Hard classification; Multicategory classification; Probability estimation; Soft classification; SVM
TL;DR: A model-free procedure to estimate multiclass probabilities based on large-margin classifiers by solving a series of weighted large- margin classifiers and then systematically extracting the probability information from these multiple classification rules is developed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Sparse estimation and inference for censored median regression

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 140(7), 1903–1917.

By: J. Shows n, W. Lu n & H. Zhang n

author keywords: Censored quantile regression; LASSO; Inverse censoring probability; Solution path
TL;DR: This paper proposes a new procedure to minimize an inverse-censoring-probability weighted least absolute deviation loss subject to the adaptive LASSO penalty and result in a sparse and robust median estimator and proposes a resampling method to estimate the variance of the estimator. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Variable Selection for Semiparametric Mixed Models in Longitudinal Studies

BIOMETRICS, 66(1), 79–88.

By: X. Ni*, D. Zhang n & H. Zhang n

author keywords: Correlated data; Gaussian stochastic process; Linear mixed models; Smoothly clipped absolute deviation; Smoothing splines
MeSH headings : Algorithms; Bayes Theorem; Biometry / methods; Computer Simulation; Data Interpretation, Statistical; Epidemiologic Methods; Information Storage and Retrieval / methods; Longitudinal Studies; Models, Statistical
TL;DR: A double-penalized likelihood approach for simultaneous model selection and estimation in semiparametric mixed models for longitudinal data, which provides valid inference for data with missing at random and will be more efficient if the specified model is correct. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Weighted Distance Weighted Discrimination and Its Asymptotic Properties

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 105(489), 401–414.

By: X. Qiao n, H. Zhang n, Y. Liu n, M. Todd n & J. Marron n

author keywords: Fisher consistency High dimensional; low sample-size data Linear discrimination; Nonstandard asymptotics; Unbalanced data
TL;DR: The development of optimal weighting schemes for various nonstandard classification problems and several alternative criteria are discussed and an adaptive weighting scheme (awDWD) is proposed and demonstrated to demonstrate its advantages over nonadaptiveWeighting schemes under some situations. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A new chi-square approximation to the distribution of non-negative definite quadratic forms in non-central normal variables

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 53(4), 853–856.

By: H. Liu*, Y. Tang* & H. Zhang n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Automatic model selection for partially linear models

JOURNAL OF MULTIVARIATE ANALYSIS, 100(9), 2100–2111.

By: X. Ni n, H. Zhang n & D. Zhang n

author keywords: Semiparametric regression; Smoothing splines; Smoothly clipped absolute deviation; Variable selection
TL;DR: A new type of double-penalized least squares is formulated, using the smoothing spline to estimate the nonparametric part and applying a shrinkage penalty on parametric components to achieve model parsimony. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

FIRST: Combining forward iterative selection and shrinkage in high dimensional sparse linear regression

Statistics and Its Interface, 2(3), 341–348.

By: W. Hwang n, H. Zhang n & S. Ghosal n

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

ON THE ADAPTIVE ELASTIC-NET WITH A DIVERGING NUMBER OF PARAMETERS

ANNALS OF STATISTICS, 37(4), 1733–1751.

By: H. Zou & H. Zhang*

author keywords: Adaptive regularization; elastic-net; high dimensionality; model selection; oracle property; shrinkage methods
TL;DR: This paper proposes the adaptive Elastic-Net that combines the strengths of the quadratic regularization and the adaptively weighted lasso shrinkage and establishes the oracle property of the adaptive elastic-Net under weak regularity conditions. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Sure independence screening for ultrahigh dimensional feature space discussion

Journal of the Royal Statistical Society. Series B, Statistical Methodology, 70, 883–911.

By: P. Bickel, P. Buhlmann, Q. Yao, R. Samworth, P. Hall, D. Titterington, J. Xue, C. Anagnostopoulos ...

Source: NC State University Libraries
Added: August 6, 2018

2007 journal article

Adaptive lasso for Cox's proportional hazards model

BIOMETRIKA, 94(3), 691–703.

By: H. Zhang n & W. Lu n

author keywords: adaptive lasso; lasso; penalized partial likelihood; proportional hazards model; variable selection
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Support vector machines with adaptive L-q penalty

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 51(12), 6380–6394.

By: Y. Liu, H. Zhang n, C. Park* & J. Ahn*

author keywords: adaptive penalty; classification; shrinkage; support vector machine; variable selection
TL;DR: This article proposes and explores an adaptive learning procedure called the L"q SVM, where the best q>0 is automatically chosen by data, and shows that the new adaptive approach combines the benefit of a class of non-adaptive procedures and gives the best performance of this class across a variety of situations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Variable selection for proportional odds model

STATISTICS IN MEDICINE, 26(20), 3771–3781.

By: W. Lu n & H. Zhang n

author keywords: marginal likelihood; proportional odds model; variable selection; shrinkage estimate
MeSH headings : Algorithms; Likelihood Functions; Proportional Hazards Models; Survival Analysis; United States
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Component selection and smoothing for nonparametric regression in exponential families

Statistica Sinica, 16(3), 1021–1041.

By: H. Zhang & Y. Lin

Source: NC State University Libraries
Added: August 6, 2018

2006 journal article

Component selection and smoothing in multivariate nonparametric regression

ANNALS OF STATISTICS, 34(5), 2272–2297.

By: Y. Lin & H. Zhang n

author keywords: smoothing spline ANOVA; method of regularization; nonparametric regression; nonparametric classification; model selection; machine learning
TL;DR: A detailed analysis reveals that the COSSO does model selection by applying a novel soft thresholding type operation to the function components, which leads naturally to an iterative algorithm. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Gene selection using support vector machines with non-convex penalty

BIOINFORMATICS, 22(1), 88–95.

By: H. Zhang n, J. Ahn*, X. Lin* & C. Park*

MeSH headings : Algorithms; Bayes Theorem; Cluster Analysis; Databases, Genetic; Humans; Models, Genetic; Models, Statistical; Neoplasms / genetics; Neoplasms / metabolism; Oligonucleotide Array Sequence Analysis / methods; Pattern Recognition, Automated; Sequence Analysis, DNA; Software; Time Factors
TL;DR: A unified procedure for simultaneous gene selection and cancer classification is provided, achieving high accuracy in both aspects and a successive quadratic algorithm is proposed to convert the non-differentiable and non-convex optimization problem into easily solved linear equation systems. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Model selection in nonparametric hazard regression

JOURNAL OF NONPARAMETRIC STATISTICS, 18(7-8), 417–429.

By: C. Leng* & H. Zhang n

author keywords: COSSO; Cox proportional hazard model; model selection; penalized likelihood
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Multiclass proximal support vector machines

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 15(2), 339–355.

By: Y. Tang n & H. Zhang n

author keywords: Bayes rule; nonstandard classifications; reproducing kernel Hilbert space.
TL;DR: An efficient algorithm to implement the MPSVM by solving a system of linear equations requires much less computational effort than solving the standard SVM, which often requires quadratic programming and can be slow for large problems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Variable selection for support vector machines via smoothing spline ANOVA

Statistica Sinica, 16(2), 659–674.

By: H. Zhang

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

Model building with likelihood basis pursuit

OPTIMIZATION METHODS & SOFTWARE, 19(5), 577–594.

By: M. Ferris*, M. Voelker* & H. Zhang n

author keywords: model building; slice models; parameter selection; basis pursuit
TL;DR: It is shown how slice-modeling techniques significantly improve the efficiency of individual solves and thus speed-up the grid search, and how derivative-free optimization algorithms can find better solutions with fewer function evaluations by seeding them with a coarse grid search. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Variable selection and model building via likelihood basis pursuit

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 99(467), 659–672.

By: H. Zhang*, G. Wahba*, Y. Lin*, M. Voelker*, M. Ferris*, R. Klein*, B. Klein*

author keywords: generalized approximate cross-validation; LASSO; Monte Carlo bootstrap test; nonparametric variable selection; slice modeling; smoothing spline ANOVA
TL;DR: This article presents a nonparametric penalized likelihood approach for variable selection and model building, called likelihood basis pursuit (LBP), and applies it to two large ongoing epidemiologic studies, the Wisconsin Epidemiologic Study of Diabetic Retinopathy and the Beaver Dam Eye Study. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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