Research supported in part by NIH R01-HL152439 (2021-2022, 2024), NSF DMS-2113589/2415067 (2021-2025), and NSF DMS-2413294 (2024-2027).
❈ denotes equal contributions
Simultaneous predictor and response dimension reduction for multivariate categorical response regression
Chang, T.❈, Jin, Y.❈, Chi, E. C., Zhang, X., and Molstad, A. J. (2025+)
Submitted
A unified approach to spatial domain detection and cell-type deconvolution in spot-based spatial transcriptomics
Koo, H. J. and Molstad, A. J. (2025+)
Submitted
pdf | bibtex
@misc{koo2025unified,
title = {A unified approach to spatial domain detection and cell-type deconvolution in spot-based spatial transcriptomics},
author = {Koo, Hyun Jung and Molstad, Aaron J.},
year = {2025},
eprint = {2511.06204},
archivePrefix = {arXiv},
primaryClass = {stat.AP}
}
Convex clustering with generalized Moreau envelope penalty
Gao, G., Holtz, C., Molstad, A. J., Mishne, G., and Chi, E. C. (2025+)
Submitted
A direct approach to tree-guided feature aggregation for high-dimensional regression
Fu, J., Molstad, A. J., and Zou, H. (2025+)
Submitted
pdf | bibtex
@misc{fu2025direct,
title = {A direct approach to tree-guided feature aggregation for high-dimensional regression},
author = {Fu, Jinwen and Molstad, Aaron J. and Zou, Hui},
year = {2025},
eprint = {2507.19650},
archivePrefix = {arXiv},
primaryClass = {stat.ME}
}
Subspace decompositions for association structure learning in multivariate categorical response regression
Zhao, H., Molstad, A. J., and Rothman, A. J. (2025+)
Submitted
pdf | bibtex
@misc{zhao2024subspace,
title = {Subspace decompositions for association structure learning in multivariate categorical response regression},
author = {Zhao, Hongru and Molstad, Aaron J. and Rothman, Adam J.},
year = {2024},
eprint = {2410.04356},
archivePrefix = {arXiv},
primaryClass = {stat.ME}
}
Universal inference for variance components
Zhang, Y., Ekvall, K. O., and Molstad, A. J. (2026)
Stat
pdf | software | bibtex
@article{zhang2026universal,
title = {Universal inference for variance components},
author = {Zhang, Yiqiao and Ekvall, Karl Oskar and Molstad, Aaron J.},
journal = {Stat},
year = {2026},
volume = {15},
number = {1},
doi = {10.1002/sta4.70141}
}
The why and how of convex clustering
Chi, E. C., Molstad, A. J., Gao, Z., and Chi, J. T. (2026)
Annual Review of Statistics and its Applications
pdf | bibtex
@article{chi2026why,
title = {The why and how of convex clustering},
author = {Chi, Eric C. and Molstad, Aaron J. and Gao, Zheming and Chi, Jocelyn T.},
journal = {Annual Review of Statistics and Its Application},
year = {2026},
volume = {13},
pages = {175--199},
doi = {10.1146/annurev-statistics-112723-034107}
}
Conditional probability tensor decompositions for multivariate categorical response regression
Molstad, A. J.❈ and Zhang, X.❈ (2025+)
Journal of the American Statistical Association
pdf | software | bibtex
@article{molstad2025conditional,
title = {Conditional probability tensor decompositions for multivariate categorical response regression},
author = {Molstad, Aaron J. and Zhang, Xin},
journal = {Journal of the American Statistical Association},
year = {2025},
doi = {10.1080/01621459.2025.2567045}
}
Protein quantitative trait locus analysis in African American and non-Hispanic White individuals
Cai, Y., Johnson, M., Haessler, J. W., Molstad, A. J., Hwang, S., Joehanes, R., Murabito, J., Tahir, U. A., Franceschini, N., Gerszten, R., Sun, W., Levy, D., Raffield, L., Kooperberg, C., Hsu, L., and Reiner, A. (2025)
Genome Biology
pdf | bibtex
@article{cai2025protein,
title = {Protein quantitative trait locus analysis in {A}frican {A}merican and non-{H}ispanic {W}hite individuals},
author = {Cai, Yanwei and Johnson, Mari and Haessler, Jeffrey and Molstad, Aaron J. and Hwang, Shih-Jen and Joehanes, Roby and Murabito, Joanne M. and Tahir, Usman A. and Franceschini, Nora and Gerszten, Robert E. and Sun, Wei and Levy, Daniel and Raffield, Laura M. and Kooperberg, Charles and Hsu, Li and Reiner, Alexander P.},
journal = {Genome Biology},
year = {2025},
volume = {26},
doi = {10.1186/s13059-025-03671-x}
}
Smooth and shape-constrained quantile distributed lag models
Jin, Y., Molstad, A. J., Wilson, A., and Antonelli, J. (2025)
Biometrics
pdf | software | bibtex
@article{jin2025smooth,
title = {Smooth and shape-constrained quantile distributed lag models},
author = {Jin, Yisen and Molstad, Aaron J. and Wilson, Ander and Antonelli, Joseph},
journal = {Biometrics},
year = {2025},
volume = {81},
number = {3},
doi = {10.1093/biomtc/ujaf101}
}
Kernelized discriminant analysis for joint modeling of multivariate categorical responses
Jin, Y., Zhang, X. and Molstad, A. J. (2025)
Journal of Computational and Graphical Statistics
pdf | software | bibtex
@article{jin2025kernelized,
title = {Kernelized discriminant analysis for joint modeling of multivariate categorical responses},
author = {Jin, Yisen and Zhang, Xin and Molstad, Aaron J.},
journal = {Journal of Computational and Graphical Statistics},
year = {2025},
volume = {35},
number = {1},
pages = {251--262},
doi = {10.1080/10618600.2025.2526412}
}
Fast and reliable confidence intervals for a variance component
Zhang, Y., Ekvall, K. O., and Molstad, A. J. (2025)
Biometrika
pdf | software | example | bibtex
@article{zhang2025fast,
title = {Fast and reliable confidence intervals for a variance component},
author = {Zhang, Yiqiao and Ekvall, Karl Oskar and Molstad, Aaron J.},
journal = {Biometrika},
year = {2025},
volume = {112},
number = {2},
pages = {asaf010},
doi = {10.1093/biomet/asaf010}
}
Multi-response linear discriminant analysis in high dimensions
Deng, K., Zhang, X., and Molstad, A. J. (2025)
Journal of Machine Learning Research
pdf | bibtex
@article{deng2024multi,
title = {Multi-response linear discriminant analysis in high dimensions},
author = {Deng, Kai and Zhang, Xin and Molstad, Aaron J.},
journal = {Journal of Machine Learning Research},
year = {2024},
volume = {25},
number = {413},
pages = {1--66}
}
Heterogeneity-aware integrative regression for ancestry-specific association studies
Molstad, A. J., Cai, Y., Reiner, A., Kooperberg, C., Sun, W., and Hsu, L. (2024)
Biometrics
pdf | reproduce simulations | bibtex
@article{molstad2024heterogeneity,
title = {Heterogeneity-aware integrative regression for ancestry-specific association studies},
author = {Molstad, Aaron J. and Cai, Yanwei and Reiner, Alexander P. and Kooperberg, Charles and Sun, Wei and Hsu, Li},
journal = {Biometrics},
year = {2024},
volume = {80},
number = {4},
pages = {ujae109},
doi = {10.1093/biomtc/ujae109}
}
Direct covariance matrix estimation with compositional data
Molstad, A. J., Ekvall, K. O., and Suder, P. M. (2024)
Electronic Journal of Statistics
pdf | software | example | bibtex
@article{molstad2024direct,
title = {Direct covariance matrix estimation with compositional data},
author = {Molstad, Aaron J. and Ekvall, Karl Oskar and Suder, Piotr M.},
journal = {Electronic Journal of Statistics},
year = {2024},
volume = {18},
number = {1},
pages = {1702--1748},
doi = {10.1214/24-EJS2222}
}
Multiresolution categorical regression for interpretable cell type annotation
Molstad, A. J. and Motwani, K. (2023)
Biometrics
pdf | supplement | software | example | bibtex
@article{molstad2023multiresolution,
title = {Multiresolution categorical regression for interpretable cell type annotation},
author = {Molstad, Aaron J. and Motwani, Keshav},
journal = {Biometrics},
year = {2023},
volume = {79},
number = {4},
pages = {3485--3496},
doi = {10.1111/biom.13926}
}
Binned multinomial logistic regression for integrative cell type annotation
Motwani, K., Bacher, R., and Molstad, A. J. (2023)
Annals of Applied Statistics
pdf | supplement | software | example | data | bibtex
@article{motwani2023binned,
title = {Binned multinomial logistic regression for integrative cell type annotation},
author = {Motwani, Keshav and Bacher, Rhonda and Molstad, Aaron J.},
journal = {Annals of Applied Statistics},
year = {2023},
volume = {17},
number = {4},
pages = {3426--3449},
doi = {10.1214/23-AOAS1769}
}
A convex-nonconvex strategy for grouped variable selection
Liu, X., Molstad, A. J., and Chi, E. C. (2023)
Electronic Journal of Statistics
pdf | software | example | bibtex
@article{liu2023convex,
title = {A convex-nonconvex strategy for grouped variable selection},
author = {Liu, Xiaoqian and Molstad, Aaron J. and Chi, Eric C.},
journal = {Electronic Journal of Statistics},
year = {2023},
volume = {17},
number = {2},
pages = {2912--2961},
doi = {10.1214/23-EJS2167}
}
Dimension reduction for integrative survival analysis
Molstad, A. J. and Patra, R. K. (2023)
Biometrics
pdf | supplement | reproduce simulations | bibtex
@article{molstad2023dimension,
title = {Dimension reduction for integrative survival analysis},
author = {Molstad, Aaron J. and Patra, Rohit K.},
journal = {Biometrics},
year = {2023},
volume = {79},
number = {3},
pages = {1610--1623},
doi = {10.1111/biom.13736}
}
A likelihood-based approach for multivariate categorical response regression in high dimensions
Molstad, A. J. and Rothman, A. J. (2023)
Journal of the American Statistical Association
pdf | supplement | software | example | bibtex
@article{molstad2023likelihood,
title = {A likelihood-based approach for multivariate categorical response regression in high dimensions},
author = {Molstad, Aaron J. and Rothman, Adam J.},
journal = {Journal of the American Statistical Association},
year = {2023},
volume = {118},
number = {542},
pages = {1402--1414},
doi = {10.1080/01621459.2021.1999819}
}
Mixed-type multivariate response regression with covariance estimation
Ekvall, K. O. and Molstad, A. J. (2022)
Statistics in Medicine
pdf | supplement | software | example | bibtex
@article{ekvall2022mixed,
title = {Mixed-type multivariate response regression with covariance estimation},
author = {Ekvall, Karl Oskar and Molstad, Aaron J.},
journal = {Statistics in Medicine},
year = {2022},
volume = {41},
number = {15},
pages = {2768--2785},
doi = {10.1002/sim.9383}
}
New insights for the multivariate square-root lasso
Molstad, A. J. (2022)
Journal of Machine Learning Research
pdf | software | example | bibtex
@article{molstad2022new,
title = {New insights for the multivariate square-root lasso},
author = {Molstad, Aaron J.},
journal = {Journal of Machine Learning Research},
year = {2022},
volume = {23},
number = {66},
pages = {1--52}
}
Scalable algorithms for semiparametric accelerated failure time models in high dimensions
Suder, P. M. and Molstad, A. J. (2022)
Statistics in Medicine
pdf | supplement | software | example | bibtex
@article{suder2022scalable,
title = {Scalable algorithms for semiparametric accelerated failure time models in high dimensions},
author = {Suder, Piotr M. and Molstad, Aaron J.},
journal = {Statistics in Medicine},
year = {2022},
volume = {41},
number = {6},
pages = {933--949},
doi = {10.1002/sim.9264}
}
A covariance-enhanced approach to multi-tissue joint eQTL mapping with application to transcriptome-wide association studies
Molstad, A. J., Sun, W., and Hsu, L. (2021)
Annals of Applied Statistics
pdf | supplement | results | bibtex
@article{molstad2021covariance,
title = {A covariance-enhanced approach to multi-tissue joint {eQTL} mapping with application to transcriptome-wide association studies},
author = {Molstad, Aaron J. and Sun, Wei and Hsu, Li},
journal = {Annals of Applied Statistics},
year = {2021},
volume = {15},
number = {2},
pages = {998--1016},
doi = {10.1214/20-AOAS1432}
}
Estimating multiple precision matrices with cluster fusion regularization
Price, B. S., Molstad, A. J., and Sherwood, B. (2021)
Journal of Computational and Graphical Statistics
pdf | supplement | bibtex
@article{price2021estimating,
title = {Estimating multiple precision matrices with cluster fusion regularization},
author = {Price, Bradley S. and Molstad, Aaron J. and Sherwood, Ben},
journal = {Journal of Computational and Graphical Statistics},
year = {2021},
volume = {30},
number = {4},
pages = {823--834},
doi = {10.1080/10618600.2021.1874963}
}
An explicit mean-covariance parameterization for multivariate response linear regression
Molstad, A. J., Weng, G., Doss, C. R., and Rothman, A. J. (2021)
Journal of Computational and Graphical Statistics
pdf | supplement | software | example | bibtex
@article{molstad2021explicit,
title = {An explicit mean-covariance parameterization for multivariate response linear regression},
author = {Molstad, Aaron J. and Weng, Guangwei and Doss, Charles R. and Rothman, Adam J.},
journal = {Journal of Computational and Graphical Statistics},
year = {2021},
volume = {30},
number = {3},
pages = {612--621},
doi = {10.1080/10618600.2020.1853551}
}
Gaussian process regression for survival time prediction with genome-wide gene expression
Molstad, A. J., Hsu, L., and Sun, W. (2021)
Biostatistics
pdf | supplement | software | example | bibtex
@article{molstad2021gaussian,
title = {Gaussian process regression for survival time prediction with genome-wide gene expression},
author = {Molstad, Aaron J. and Hsu, Li and Sun, Wei},
journal = {Biostatistics},
year = {2021},
volume = {22},
number = {1},
pages = {164--180},
doi = {10.1093/biostatistics/kxz023}
}
Asymptotic properties of concave L1-norm group penalties
Sherwood, B., Molstad, A. J., and Singha, S. (2020)
Statistics and Probability Letters
pdf | supplement | bibtex
@article{sherwood2020asymptotic,
title = {Asymptotic properties of concave {$L_1$}-norm group penalties},
author = {Sherwood, Ben and Molstad, Aaron J. and Singha, Sumanta},
journal = {Statistics \& Probability Letters},
year = {2020},
volume = {157},
pages = {108631},
doi = {10.1016/j.spl.2019.108631}
}
A penalized likelihood method for classification with matrix-valued predictors
Molstad, A. J. and Rothman, A. J. (2019)
Journal of Computational and Graphical Statistics
pdf | software | supplement | bibtex
@article{molstad2019penalized,
title = {A penalized likelihood method for classification with matrix-valued predictors},
author = {Molstad, Aaron J. and Rothman, Adam J.},
journal = {Journal of Computational and Graphical Statistics},
year = {2019},
volume = {28},
number = {1},
pages = {11--22},
doi = {10.1080/10618600.2018.1476249}
}
Shrinking characteristics of precision matrix estimators
Molstad, A. J. and Rothman, A. J. (2018)
Biometrika
pdf | supplement | bibtex
@article{molstad2018shrinking,
title = {Shrinking characteristics of precision matrix estimators},
author = {Molstad, Aaron J. and Rothman, Adam J.},
journal = {Biometrika},
year = {2018},
volume = {105},
number = {3},
pages = {563--574},
doi = {10.1093/biomet/asy023}
}
Indirect multivariate response linear regression
Molstad, A. J. and Rothman, A. J. (2016)
Biometrika
pdf | supplement | bibtex
@article{molstad2016indirect,
title = {Indirect multivariate response linear regression},
author = {Molstad, Aaron J. and Rothman, Adam J.},
journal = {Biometrika},
year = {2016},
volume = {103},
number = {3},
pages = {595--607},
doi = {10.1093/biomet/asw034}
}