Research Interests
- Functional Data Analysis. My recorded lectures for Functional Data Analysis. My lecture slides and R codes for Functional Data Analysis (More FDA)
- Estimating Dynamic Models from noisy data (More Dynamical Models)
- Nonparametric Smoothing (Nonparametric Smoothing Example, Matlab function for peanalized spline smothing, R function, Matlab function for spline smothing without penalty. They used a Matlab package called fdaM, developed by Jim Ramsay.)
- Statistical Genetics
Google Scholar Profile of Jiguo Cao
Statistical Methodology Papers in Refereed Journals
- Jiguo Cao, Sidi Wu, Muye Nanshan, Haolun Shi, and Liangliang Wang, 2025, "Statistical Learning for Functional Data". Accepted by Annual Review of Statistics and Its Application.
- Yitao Wang, Cong Li, Jiguo Cao, Jinhong You and Hua Liu, 2025, "The Dynamic Interplay of Clan Culture and Social Factors on Fertility: Evidence from China". Accepted by Annals of Applied Statistics.
- Stefan Schrunner, Joseph Janssen, Anna Jenul, and Jiguo Cao, Ali A. Ameli, William J. Welch, 2025, "A Gaussian Sliding Windows Regression Model for Hydrological Inference". Accepted by Journal of the Royal Statistical Society, Series C (Applied Statistics).
- Jiahui Feng, Haolun Shi, Ma Da, Mirza Faisal Beg and Jiguo Cao, 2025, "A Latent-Class Model for Time-to-Event Outcomes and High-Dimensional Imaging Data". Accepted by Statistics in Medicine.
- Bingfan Liu, Haolun Shi, Shu Jiang, Liangliang Wang, Da Ma, Mirza Faisal Beg, and Jiguo Cao, 2025, "Dynamic Survival Risk Prediction with Time-varying High-dimensional Images". Accepted by Canadian Journal of Statistics.
- Chun Yin Lee, Haolun Shi, Da Ma, Mirza Faisal Beg, and Jiguo Cao, 2025, "Identification of Regions of Interest in Neuroimaging Data with Irregular Boundaries Based on Semiparametric Transformation Models and Interval-Censored Outcomes". Accepted by Statistics in Medicine.
- Yueyang Han, Haolun Shi, Jiguo Cao, and Ruitao Lin, 2025, "Drift Parameter Based Sample Size Determination in Multi-Stage Bayesian Randomized Clinical Trials". Pharmaceutical Statistics, 24:e70037.
- Cheng Cao, Jiguo Cao, Hao Pan; Yunting Zhang; Fan Jiang, and Xinyue Li, 2025, "An Efficient Two-Dimensional Functional Mixed-Effect Model Framework for Repeatedly Measured Functional Data". Statistics in Medicine, 44:e70222, 1-13.
- Jiarui Zhang, Liangliang Wang, and Jiguo Cao, 2025, ``Robust Bayesian Functional Principal Component Analysis". Statistics and Computing. 35:46, 1-25.
- Jiahui Feng, Haolun Shi, Ma Da, Mirza Faisal Beg, and Jiguo Cao, 2025, ``Supervised functional principal component analysis under the mixture cure rate model: an application to Alzheimer's disease". Statistics in Medicine, 44:e10324.
- Joseph Janssen, Shizhe Meng, \underline{Asad Haris}, Stefan Schrunner, Jiguo Cao, William J. Welch, Nadja Kunz, Ali A. Ameli, 2025, "Learning from limited temporal data: Dynamically sparse historical functional linear models with applications to Earth science". Environmetrics, 36, e70018.
- Xiong Cai, Jiguo Cao, Xingyu Yan, Peng Zhao, 2025, "High Dimensional Multi-Response Partial Functional Linear Regression". Statistics in Medicine, 44, e70140. 1-18.
- Haixu Wang and Jiguo Cao, 2025, "Functional Principal Component Analysis for Multiple Variables on Different Riemannian Manifolds". Journal of Agricultural, Biological, and Environmental Statistics, 30, 1111-1130.
- Lili Li, Bingfan Liu, Xiaodi Liu, Haolun Shi, Jiguo Cao, 2025, "Optimal Subsampling for Generalized Additive Models on Large-scale Datasets". Statistics and Computing. 35:15, 1-17.
- Matthew Parker, Jiguo Cao, Laura LE Cowen, and Lloyd T Elliott, 2025, "Faster asymptotic solutions for N-mixtures on large populations". Accepted by Journal of Agricultural, Biological, and Environmental Statistics, 30(3), 730-745.
- Elijah Cavan, Jiguo Cao, and Tim B. Swartz, 2025, "NHL Aging Curves using Functional Principal Component Analysis". Accepted by Journal of Quantitative Analysis in Sports.
- Rina Wang, Haolun Shi, Jiguo Cao, 2025, "A Nested GLM Framework with Neural Network Encoding and Spatial-Constrained Clustering in Non-Life Insurance Rate-Making". North American Actuarial Journal, 29(3), 645-661.
- Matthew Parker, Jiguo Cao, Laura LE Cowen, Lloyd T Elliott, and Junling Ma, 2024, "Multi-site Disease Analytics with Applications to Estimating COVID-19 Undetected Cases in Canada". Annals of Applied Statistics. 18(4), 2928-2949.
- Shu Jiang, Jiguo Cao, Graham A. Colditz 2024, "Functional partial least squares with censored outcomes: Prediction of breast cancer risk with mammogram images". Annals of Applied Statistics. 18(2), 1051-1063.
- Tianyu Guan, Jason Ho, Robert Krider, Jiguo Cao, and Andrew Fogg, 2024, "How Do Pre-Launch Online Movie Reviews Influence Box Office Revenues?". Annals of Applied Statistics. 18(2), 1686-1708.
- Haixu Wang and Jiguo Cao, 2024, "Functional Nonlinear Learning". Journal of Computational and Graphical Statistics. 33:1, 181-191. It has a supplementary file. The R codes for the simulation studies and the application can be downloaded at https://github.com/caojiguo/FunNoL.
- Boyi Hu, Xixi Hu, Hua Liu, Jinhong You, and Jiguo Cao, 2024, "Simultaneous Functional Quantile Regressions". Statistica Sinica. 34, 867-888. It has a supplementary file. The R codes for the simulation studies and the application can be downloaded at https://github.com/caojiguo/FunQR.
- Haolun Shi, Shu Jiang, Da Ma, Mirza Faisal Beg, and Jiguo Cao, 2024, "Dynamic Survival Prediction using Sparse Longitudinal Images via Multi-dimensional Functional Principal Component Analysis". Journal of Computational and Graphical Statistics. 33(4), 1240-1251.
- Zixuan Han, Tao Li, Jinhong You, and Jiguo Cao, 2024, ``Functional Linear Models with Latent Factors". Accepted by Statistica Sinica.
- Sidi Wu, Cédric Beaulac, and Jiguo Cao, 2024, ``Functional Autoencoder for Smoothing and Representation Learning". Statistics and Computing, 34, 203. The R codes for the simulation studies and the application can be downloaded at https://github.com/CedricBeaulac/FAE.
- Cheng Cao, Jiguo Cao, Hailiang Wang, Kwok-Leung Tsui, Xinyue Li, 2024, "Functional Adaptive Double-Sparsity Estimator for Functional Linear Regression Model with Multiple Functional Covariates". Accepted by Statistica Sinica.
- Hua Liu, Jinhong You, and Jiguo Cao, 2023, "A Dynamic Interaction Semiparametric Function-on-Scalar Model". Journal of the American Statistical Association. 118:541, 360-373.
- Shu Jiang, Jiguo Cao, Graham A. Colditz, and Bernard Rosner, 2023, "Supervised two-dimensional functional principal component analysis with time-to-event outcome on mammogram imaging data". Biometrics. 79:1359–1369. DOI: 10.1111/biom.13611
- Barinder Thind, Kevin Multani, and Jiguo Cao, 2023, "Deep Learning with Functional Inputs". Journal of Computational and Graphical Statistics. 32:1, 171-180, DOI:10.1080/10618600.2022.2097914. It has a supplementary file. The R codes for the simulation studies and the application can be downloaded at https://github.com/caojiguo/FNN.
- Shu Jiang, Jiguo Cao, Graham A. Colditz, and Bernard Rosner, 2023, "Predicting the Onset of Breast Cancer using Mammogram Imaging data with Irregular Boundary". Biostatistics. 24(2), 358–371. https://doi.org/10.1093/biostatistics/kxab032.
- Hua Liu, Jinhong You, and Jiguo Cao, 2023, "Functional L-Optimality Subsampling for Functional Generalized Linear Models with Massive Data". Journal of Machine Learning Research. 24(219), 1-41.
- Zheyuan Li and Jiguo Cao, 2023, "Automatic Search Interval for Smoothing Parameter in Penalized Splines". Statistics and Computing. 33:1. https://doi.org/10.1007/s11222-022-10178-z
- Haixu Wang and Jiguo Cao, 2023, "Nonlinear Prediction of Functional Time Series". Environmetrics, 34:e2792. It has a supplementary file.
- Shu Jiang, Jiguo Cao and Graham A. Colditz, 2023, "Identify regions of interest in mammogram images bounded in an irregular domain". Statistical Methods in Medical Research. 32(5) 895–903. It has a supplementary file.
- Matthew Parker, Laura LE Cowen, Jiguo Cao, and Lloyd T Elliott, 2023, "Computational efficiency and precision for replicated-count and batch-marked hidden population models". Journal of Agricultural, Biological, and Environmental Statistics. 28, 43–58. https://doi.org/10.1007/s13253-022-00509-y
- Sidi Wu, Cédric Beaulac, and Jiguo Cao, 2023, "Neural Networks for Scalar Input and Functional Output". Statistics and Computing. 33, 118. It has a supplementary file. The R codes for the simulation studies and the application can be downloaded at https://github.com/caojiguo/SIFO
- Haixu Wang and Jiguo Cao, 2023, "pCODE: Estimating Parameters of ODE Models". the R Journal. 14(4), 291-304.
- Yunlong Nie, Liangliang Wang, and Jiguo Cao, 2023, "Estimating Functional Single Index Models with Compact Support". Environmetrics, 34(2), e2784. https://doi.org/10.1002/env.2784. It has a supplementary file.
- Haolun Shi, Mohammad Tayebi, Jian Pei, and Jiguo Cao, 2023, "Cost-Sensitive Learning for Medical Insurance Fraud Detection with Temporal Information". IEEE Transactions on Knowledge and Data Engineering. doi: 10.1109/TKDE.2023.3240431.
- Chuyuan Lin, Ying Yu, Yifan Wu, and Jiguo Cao, 2023, "Unsupervised Learning on U.S. Weather Forecast Performance". Accepted by Computational Statistics. It has a supplementary file. The R codes for the application and simulation studies are also available at https://github.com/cherlanelin/Unsupervised-Learning-on-U.S.-Weather-Prediction-Accuray.git.
- Tianyu Guan, Jiguo Cao and Tim B. Swartz, 2023, "Parking the Bus". Journal of Quantitative Analysis of Sports. 19(4), 263-272.
- Jianghu (James) Dong, Haolun Shi, Liangliang Wang, Ying Zhang, and Jiguo Cao, 2023, "Jointly Modelling Multiple Transplant Outcomes by a Competing Risk Model via Functional Principal Component Analysis". Journal of Applied Statistics. 50(1), 43-59. DOI: 10.1080/02664763.2021.1981256
- Ghazal Mirabnahrazam, Da Ma, Cédric Beaulac, Sieun Lee, Karteek Popuri, Hyunwoo Lee, Jiguo Cao, James E Galvin, Lei Wang, Mirza Faisal Beg, 2023, "Predicting Time-to-conversion for Dementia of Alzheimer’s Type using Multi-modal Deep Survival Analysis". Neurobiology of Aging. 121, 139-156.
- Cédric Beaulac, Sidi Wu, Erin Gibson, Michelle Miranda, Jiguo Cao Leno Rocha, Mirza Faisal Beg, Farouk Nathoo, 2023, "Neuroimaging Feature Extraction using a Neural Network Classifier for Imaging Genetics". BMC Bioinformatics, 24, 271.
- Haitao Chen, Bin Zhang, Hua Liu, and Jiguo Cao, 2023, "The inequality in household electricity consumption due to temperature change: Data driven analysis with a function-on-function linear model". Energy. 288, 129742.
- Tianyu Guan, Robert Nguyen, Jiguo Cao, and Tim B. Swartz, 2022, "In-game Win Probabilities for the National Rugby League". Annals of Applied Statistics, 16(1), 349–367.
- Yin Song, Shufei Ge, Jiguo Cao, Liangliang Wang, and Farouk Nathoo, 2022, "A Bayesian Spatial Model for Imaging Genetics". Biometrics. 78(2):742-753. Preprint available on arXiv:1901.00068. An R package ‘bgsmtr’ implementing the methods from this paper is available on CRAN https://cran.r-project.org/web/packages/bgsmtr/.
- Haolun Shi, Yuping Yang, Liangliang Wang, Da Ma, Mirza Faisal Beg, Jian Pei, and Jiguo Cao, 2022, "Two-Dimensional Functional Orthogonal Approximation Method for Image Feature Extraction". Journal of Computational and Graphical Statistics. 31(4), 1127-1140. DOI: 10.1080/10618600.2022.2035738. It has a supplementary file. The R codes for the simulation studies and the application can be downloaded at https://github.com/haoluns/2DFPCA.
- Xiong Cai, Liugen Xue, Jiguo Cao, 2022, "Variable Selection for Multiple Function-on-Function Linear Regression". Statistica Sinica, 32, 1435-1465. It has a supplementary file.
- Xiaolei Xun, Tianyu Guan, and Jiguo Cao, 2022, "Sparse Estimation of Historical Functional Linear Models with a Nested Group Bridge Approach". Canadian Journal of Statistics. 50(4), 1254-1269. It has a supplementary file. The Matlab codes for the simulation studies and the application can be downloaded at https://github.com/caojiguo/HisFunLiM.
- Nan Zhang, Muye Nanshan, and Jiguo Cao, 2022, "A Joint Estimation Approach to Sparse Additive Ordinary Differential Equations". Statistics and Computing. 32, 69.
- Hanlin Shang, Jiguo Cao, and Peijun Sang, 2022, "Stopping time detection of wood panel compression: A functional time series approach". Journal of the Royal Statistical Society: Series C. 71, 1205–1224.
- Haolun Shi, Shu Jiang, and Jiguo Cao, 2022, "Dynamic prediction with time-dependent marker in survival analysis using supervised functional principal component analysis". Accepted by Statistics in Medicine.
- Muye Nanshan, Nan Zhang, and Jiguo Cao, 2022, "Dynamical Modeling for non-Gaussian Data with High-dimensional Sparse Ordinary Differential Equations". Computational Statistics and Data Analysis. 173, 107483
- Tianyu Guan, Zhenhua Lin, Kevin Groves, and Jiguo Cao, 2022, "Sparse Functional Partial Least Squares Regression with a Locally Sparse Slope Function. Statistics and Computing. 32, 30.
- Ghazal Mirabnahrazam, Da Ma, Sieun Lee, Karteek Popuri, Hyunwoo Lee, Jiguo Cao, Lei Wang, James E Galvin, Mirza Faisal Beg, 2022, "Machine Learning Based Multimodal Neuroimaging Genomics Dementia Score for Predicting Future Conversion to Alzheimer’s Disease. Journal of Alzheimer's Disease. 87(3), 1345-1365.
- Xiong Cai, Liugen Xue, Jiguo Cao, 2022, "Robust Estimation and Variable Selection for Function-on-Scalar Regression". Canadian Journal of Statistics, 50(1), 162-179.
- Haolun Shi, Da Ma, Mirza Faisal Beg, and Jiguo Cao, 2022, "A Functional Proportional Hazard Cure Rate Model for Interval Censored Data". Statistical Method in Medical Research, 31(1), 154-168.
- Yunlong Nie, Yuping Yang, Liangliang Wang and Jiguo Cao, 2022, "Recovering the Underlying Trajectory from Sparse and Irregular Longitudinal Data". Canadian Journal of Statistics, 50(1), 122-141. It has a supplementary file.
- Haolun Shi and Jiguo Cao, 2022, "Robust Functional Principal Component Analysis Based on a New Regression Framework". Journal of Agricultural, Biological and Environmental Statistics, 27, 523–543. It has a supplementary file.
- Haolun Shi, Jianghu Dong, Liangliang Wang, and Jiguo Cao, 2021, "Functional Principal Component Analysis for Longitudinal Data with Informative Dropout". Statistics in Medicine, 40, 712–724.
- Baisen Liu, Liangliang Wang, Yunlong Nie, and Jiguo Cao, 2021, "Semiparametric Mixed-effects Ordinary Differential Equation Models with Heavy-Tailed Distributions". Journal of Agricultural, Biological and Environmental Statistics. 26, 428–445. It has a supplementary file. The Matlab codes for the simulation studies are also available at https://github.com/caojiguo/SMODE.
- Haolun Shi, Jiguo Cao, Ying Yuan, and Ruitao Lin, 2021, "uTPI: A Utility-Based Toxicity Probability Interval Design for Dose Finding in Phase I/II Trials". Statistics in Medicine, 40, 2626-2649.
- Peijun Sang, Mehmet A. Begen and Jiguo Cao, 2021, "Appointment Scheduling Optimization with a Quantile Function Objective". Accepted by Computers & Operations Research.
- Jianghu (James) Dong, Jiguo Cao, Jagbir Gill, Clifford Miles, and Troy Plumb, 2021, "Functional Joint Models for Chronic Kidney Disease in Kidney Transplant Recipients". Statistical Methods in Medical Research. 30(8), 1932-1943.
- Haolun Shi, Da Ma, Yunlong Nie, Mirza Faisal Beg, Jian Pei, and Jiguo Cao, 2021, "Early Diagnosis of Alzheimer's Disease on ADNI Data Using Novel Longitudinal Score Based on Functional Principal Component Analysis". Journal of Medical Imaging. 8(2):024502.
- Xiong Cai, Liugen Xue, Jiguo Cao, 2021, "Robust Penalized M-estimation for Function-on-Function Linear Regression". Stat, 10:e390.
- Haixu Wang, and Jiguo Cao, 2020, "Estimating Time-varying Directed Neural Networks". Statistics and Computing, 30, 1209-1220. It has a supplementary file. The R codes for the simulation studies are also available at https://github.com/caojiguo/NeuralNetwork.
- Peijun Sang, Liangliang Wang, and Jiguo Cao, 2020, "Estimation of Sparse Functional Additive Models with Adaptive Group LASSO". Statistica Sinica, 30, 1191-1211. It has a supplementary file. The computing scripts for all simulation studies can be downloaded at https://github.com/caojiguo/fam. This paper is selected as the Statistica Sinica Highlight by the Statistica Sinica Editorial Board.
- Fei Jiang, Seungchul Baek, Jiguo Cao, and Yanyuan Ma, 2020, "A Functional Single Index Model". Statistica Sinica, 30, 303-324. It has a supplementary file.
- Tianyu Guan, Zhenhua Lin, and Jiguo Cao, 2020, "Estimating Truncated Functional Linear Models with a Nested Group Bridge Approach". Journal of Computational and Graphical Statistics, 29(3),620-628. It has a supplementary file. The R codes for the simulation studies are also available at https://github.com/caojiguo/TruFunLM. An R package ngr has been developed for implementing the proposed method. The R package and a demonstration are provided at https://github.com/caojiguo/TruFunLM.
- Yunlong Nie, and Jiguo Cao, 2020, "Sparse Functional Principal Component Analysis in a New Regression Framework". Computational Statistics and Data Analysis, 152, 107016. It has a supplementary file. The R codes for the simulation studies are also available at https://github.com/caojiguo/sparseFPCA.
- Peijun Sang and Jiguo Cao, 2020, "Functional Single-index Quantile Regression Models". Statistics and Computing, 30, 771-781. It has a supplementary file. The R codes for the application and simulation studies are also available at https://github.com/caojiguo/FunSIQ
- Yunlong Nie, Eugene Opoku, Laila Yasmin, Yin Song, Jie Wang, Sidi Wu, Vanessa Scarapicchia, Jodie Gawryluk, Liangliang Wang, Jiguo Cao, and Farouk S. Nathoo, 2020, "Spectral Dynamic Causal Modelling of Resting-State fMRI: Relating Effective Brain Connectivity in the Default Mode Network to Genetics". Statistical Applications in Genetics and Molecular Biology, 19(3), 20190058.
- Jiguo Cao, Kunlaya Soiaporn, Raymond J. Carroll and David Ruppert, 2019, "Modeling and Prediction of Multiple Correlated Functional Outcomes". Journal of Agricultural, Biological, and Environmental Statistics, 24(1), 112–129. It has a supplementary file.
- Da Ma, Karteek Popuri, Mahadev Bhalla, Oshin Sangha, Donghuan Lu, Jiguo Cao, Claudia Jacova, Lei Wang, Mirza Faisal Beg, 2019, "Quantitative Assessment of Field Strength, Total Intracranial Volume, Sex and Age Effects on the Goodness of Harmonization for Volumetric Analysis on the ADNI Database". Human Brain Mapping, 40(5), 1507-1527.
- Peijun Sang, Liangliang Wang, and Jiguo Cao, 2019, "Weighted Empirical Likelihood Inference for Dynamical Correlations". Computational Statistics & Data Analysis, 131, 194-206. The computing scripts for all simulation studies can be downloaded at https://github.com/caojiguo/WEL
- Baisen Liu, Liangliang Wang, Yunlong Nie, and Jiguo Cao, 2019, "Bayesian Inference of Mixed-effects Ordinary Differential Equations Models Using Heavy-tailed Distributions". Computational Statistics and Data Analysis, 137, 233-246. It has a supplementary file.
- Jianghu (James) Dong, Shijia Wang, Liangliang Wang, Jagbir Gill, and Jiguo Cao, 2019, "Joint modelling for organ transplantation outcomes for patients with diabetes and the end-stage renal disease". Statistical Methods in Medical Research, 28(9), 2724-2737. It has a supplementary file. The computing scripts for all simulation studies can be downloaded at https://github.com/caojiguo/JointModel/
- Peijun Sang, Richard Lockhart, and Jiguo Cao, 2018, "Sparse Estimation for Functional Semiparametric Additive Model". Journal of Multivariate Analysis, 168, 105-118. It has a supplementary file. The computing scripts for all simulation studies can be downloaded at https://github.com/caojiguo/FSAM
- Yunlong Nie, Liangliang Wang, Baisen Liu and Jiguo Cao, 2018, "Supervised Functional Principal Component Analysis". Statistics and Computing, 28(3), 713-723. It has a supplementary file.
- Baisen Liu, Liangliang Wang and Jiguo Cao, 2018, "Bayesian Estimation of Ordinary Differential Equation Models when the Likelihood Has Multiple Local Modes". Monte Carlo Methods and Applications, 24(2), 117–127.
- Jiguo Cao, 2018, "Statisticians can Do Better in the Big Data Era". Statistics & Probability Letters, 136, 146-147.
- Jianghu (James) Dong, Liangliang Wang, Jagbir Gill and Jiguo Cao, 2018, "Functional Principal Component Analysis of GFR Curves after Kidney Transplant". Statistical Methods in Medical Research, 27(12):3785-3796. It has a supplementary file.
- Jingfei Zhang and Jiguo Cao, 2017, "Finding Common Modules in a Time-Varying Network with Application to the Drosophila Melanogaster Gene Regulation Network". Journal of the American Statistical Association, 112, 994-1008. It has a supplementary file
- Peijun Sang, Liangliang Wang and Jiguo Cao, 2017, "Parametric Functional Principal Component Analysis". Biometrics, 73, 802-810. The supplementary file and R codes can be downloaded at http://people.stat.sfu.ca/~cao/Research/PFPCA.htm
- Xinyu Zhang, Jiguo Cao, Raymond J. Carroll, 2017, "Estimating Varying Coefficients for Partial Differential Equation Models". Biometrics, 73, 949-959.
- Zhenhua Lin, Jiguo Cao, Liangliang Wang, Haonan Wang, 2017, "Locally Sparse Estimator for Functional Linear Regression Models". Journal of Computational and Graphical Statistics, 26, 306-318. The supplementary file, an R package, and Matlab codes can be downloaded at http://people.stat.sfu.ca/~cao/Research/FLR/
- Yunlong Nie, Liangliang Wang and Jiguo Cao, 2017, "Estimating Time-Varying Directed Gene Regulation Networks". Biometrics, 73, 1231-1242. It has a supplementary file.
- Baisen Liu, Liangliang Wang, Jiguo Cao, 2017, "Estimating Functional Linear Mixed-Effects Regression Models". Computational Statistics & Data Analysis, 106, 153-164.
- Jiguo Cao, Liangliang Wang, Zhongwen Huang, Junyi Gai, and Rongling Wu, 2017, "Functional Mapping of Multiple Dynamic Traits". Journal of Agricultural, Biological, and Environmental Statistics, 22, 60-75..
- Zhenhua Lin, Liangliang Wang, Jiguo Cao, 2016, "Interpretable Functional Principal Component Analysis". Biometrics, 72, 846-854. This paper has a supplementary file. The computing code can be download here.
- Xinyu Zhang, Jiguo Cao, Raymond J. Carroll, 2015, "On the Selection of Ordinary Differential Equation Models With Application to Predator-Prey Dynamical Models". Biometrics, 71, 131-138.
- Douglas G. Woolford, Charmaine B. Dean, David L. Martell,Jiguo Cao, B.M. Wotton, 2014, "Lightning-caused Forest Fire Risk in Northwestern Ontario, Canada is Increasing and Associated with Anomalies in Fire-Weather". Environmetrics, 25, 406–416.
- Liangliang Wang, Jiguo Cao, James O. Ramsay, D. Burger, C. Laporte, J. Rockstrohk (2014), "Estimating Mixed-Effects Differential Equation Models". Statistics and Computing, 24, 111-121.
- X. Xun, J. Cao, B. Mallick, A. Maity, and R. J. Carroll(2013) "Parameter Estimation of Partial Differential Equation Models". Journal of the American Statistical Association, 108, 1009-1020. Download the supplementary file.
- X. Wang, J. Cao, and J.Z. Huang (2013) "Analysis of Variance based on Integro-Differential Equations". Journal of Agricultural, Biological, and Environmental Statistics, 18, 475-491.
- W. Luo, Jiguo Cao, M. Gallagher, and J. Wiles (2013) "Estimating the Intensity of Ward Admission and its Effect on Emergency Department Access Block". Statistics in Medicine, 32, 2681-2694.
- O. Chkrebtii and J. Cao (2013) "Modeling Spatio-Temporal Trends in the Productivity of North Pacific Salmon". Environmetrics, 24, 31-40. Download the supplementary file.
- J. Cao, J. Z. Huang and H. Wu (2012) "Penalized Nonlinear Least Squares Estimation of Time-Varying Parameters in Ordinary Differential Equations". Journal of Computational and Graphical Statistics, 21, 42-56.
- J. Cao, J. Cai, L. Wang (2012) "Estimating Curves and Derivatives with Parametric Penalized Spline Smoothing". Statistics and Computing, 22(5), 1059-1067.
- A Matlab package is developed for Parametric Penalized Spline Smoothing. Please download the package here. You also need to download the FDA package to use it. There is also a web-page demonstration for how to use this package.
- J. Cao and W. Yao (2012) "Semiparametric Mixture of Binomial regression with a degenerate component". Statistica Sinica, 22, 27-46.
- The proofs for the asymptotic results are given in the supplementary file.
- J. Cao (2012) "Estimating Generalized Semiparametric Additive Models using Parameter Cascading". Statistics and Computing, 22(4), 857-865.
- L. Wang and J. Cao (2012) "Estimating Parameters in Delay Differential Equation Models". Journal of Agricultural, Biological, and Environmental Statistics, 17, 68-83.
- R. Wu and J. Cao (2011) "Blockwise empirical likelihood for time series of counts". Journal of Multivariate Analysis, 102(3), 661-673.
- R. Wu*, J. Cao*, Z. Huang, Z. Wang, J. Gai and E. Vallejos (2011) "Systems mapping: how to improve the genetic mapping of complex traits through design principles of biological systems". BMC Systems Biology 5:84, 1-24.(*These two authors contributed to this work equally) A more detailed version of this paper can be downloaded here.
- L. M. Ainsworth, R. Routledge, and J. Cao (2011) "Functional Data Analysis in Ecosystem Research: the Decline of Oweekeno Lake Sockeye Salmon and Wannock River Flow". Journal of Agricultural, Biological, and Environmental Statistics, 16(2), 282-300.
- J. Cao, L. Wang and J. Xu (2011) "Robust Estimation for Ordinary Differential Equation Models". Biometrics, 67, 1305-1313.
- It has a supplementary file.
- C. X. Feng, J. Cao, and L. Bendell-Young (2011) "Exploring Spatial and Temporal Variations of Cadmium Concentrations in Pacific Oysters from British Columbia". Biometrics, 67, 1142-1152.
- J. Chen, W. Li, A. Lau, J. Cao and K. Wang (2010) "Automated Load Curve Data Cleansing in Power Systems". IEEE Transactions on Smart Grid, 1 (2), 213-221.
- D. G. Woolford, J. Cao, C. B. Dean, and D. L. Martell (2010) "Looking for climate change signals in the fire ignition record for a region of the Canadian boreal forest". Environmentrics 21, 1-8
- J. Cao, J. O. Ramsay (2010) "Linear Mixed Effects Modeling by Parameter Cascading". Journal of the American Statistical Association, 105(489): 365-374.
- J. Cao, J. O. Ramsay (2009) "Generalized Profiling Estimation for Global and Adaptive Penalized Spline Smoothing". Computational Statistics and Data Analysis, 53, 2550-2562.
- J. Cao, H. Zhao (2008) "Estimating dynamic models for gene regulation networks". Bioinformatics, 24, 1619-1624.
- J. Cao, G. Fussmann, J. O. Ramsay (2008) "Estimating a Predator-Prey Dynamical Model with the Parameter Cascades Method". Biometrics, 64, 959-967.
- J. Cao, J. O. Ramsay (2007) "Parameter Cascades and Profiling in Functional Data Analysis". Computational Statistics, 22(3), 335-351.
- J. O. Ramsay, G. Hooker, D. Campbell, and J. Cao (2007), "Parameter estimation for differential equations: a generalized smoothing approach" (with discussion). Journal of the Royal Statistical Society, Series B, 69,741-796.
- Gerald S. Zavorsky, Jiguo Cao, Hung Chak Ho, Dieyi Chen, Jian Cheng, Zhiming Yang, Faxue Zhang, Yong Yu, Yunquan Zhang, 2020, ``Reference equations for pulmonary diffusing capacity using segmented regression show similar predictive accuracy as GAMLSS models", BMJ Open Respiratory Research, 9:e001087. doi: 10.1136/bmjresp-2021-001087.
- Anqi Jiao, Qianqian Xiang, Zan Ding, Jiguo Cao, Hung Chak Ho, Dieyi Chen, Jian Cheng, Zhiming Yang, Faxue Zhang, Yong Yu, Yunquan Zhang, 2020, ``Short-term impacts of ambient fine particulate matter on emergency department visits: Comparative analysis of three exposure metrics", Chemosphere, 241:125012.
- Beverly Hannah, Yue Wang, Allard Jongman, Joan A Sereno, Jiguo Cao and Yunlong Nie, 2017, ``Cross-modal association between auditory and visuospatial information in Mandarin tone perception in noise by native and non-native perceivers". Frontiers in Psychology, 8:2051.
- Gerald S. Zavorsky, Connie C. W. Hsia, J. Michael B. Hughes, Colin D. R. Borland, Hervé Guénard, Ivo van der Lee, Irene Steenbruggen, Robert Naeije, Jiguo Cao, Anh Tuan Dinh-Xuan, 2016, ``Standardization and application of the single-breath determination of nitric oxide uptake in the lung". European Respiratory Journal, 49. pii: 1600962.
- Mikael Sodergren, Colleen McGregor, Hugo A. Farne, Jiguo Cao, Zhijun Lv, Sanjay Purkayastha, Thanos Athanasiou, Ara Darzi, Paraskevas Paraskeva, 2013, ``A randomized comparative study evaluating learning curves of novices in a basic single-incision laparoscopic surgery task". Journal of Gastrointestinal Surgery, 17, 569-575.
- Nicoleta O. Kolozsvari, Amin Andalib, Pepa Kaneva, Jiguo Cao, Melina C. Vassiliou, Gerald M. Fried, Liane S. Feldman, 2011, ``Sex is not everything: The role of gender in early performance of a fundamental laparoscopic skill". Surgical Endoscopy, 25, 1037-1042.
- Nicoleta O. Kolozsvari, Pepa Kaneva, Chantalle Brace, Genevieve Chartrand, Marilou Vaillancourt, Jiguo Cao, Daniel Banaszek, Melina C. Vassiliou, Gerald M. Fried, Liane S. Feldman, 2011, ``Mastery versus standard proficiency target for basic laparoscopic skill training: Effect on skill transfer and retention". Surgical Endoscopy, 25, 2063 2070.
- Lorenzo E. Ferri, Jonathan Cools-Lartigue, Jiguo Cao, Linda Miller, Serge Mayrand, Gerald M. Fried, and Gail Darling, 2010, ``Clinical Predictors of Achalasia". Diseases of the Esophagus, 23, 76-81.
- Liane S. Feldman, Jiguo Cao, Amin Andalib, Shannon Fraser, and Gerald M. Fried, 2009, ``A method to characterize the learning curve for performance of a fundamental laparoscopic simulator task: Defining `learning potential' and `learning rate'\,". Surgery, 146(2), 381-386.
- Gerald S. Zavorsky, Jiguo Cao, and Juan Murias, 2008, ``Reference values of pulmonary diffusing capacity for nitric oxide in an adult population". Nitric Oxide, 18, 70-79.
- Gerald S. Zavorsky, Jiguo Cao, Nancy E. Mayo, Rina Gabbay, and Juan M. Murias, 2007, ``Arterial versus Capillary Blood Gases: a Meta-analysis". Respiratory Physiology \& Neurobiology, 155(3), 268-279.
- A. L. McCluney, M. C. Vassiliou, P. A. Kaneva, Jiguo Cao, D. D. Stanbridge, L. S. Feldman, and G. M. Fried, 2007, ``FLS simulator performance predicts intraoperative laparoscopic skill", Surgical Endoscopy, 21(11), 1991-1995.
- A. Taqi, L. S. Feldman, N. E. Mayo, Jiguo Cao, J. Winocour, F. Carli, G. M. Fried, 2006, ``Validation of the Two Minute Walk Test (2MWT) as an objective measure of in-hospital postoperative recovery", Journal of Surgical Research, 130(2), 211.
- Jiguo Cao, Marie-France Valois, and Mark S. Goldberg, 2006, ``An S-Plus Function to Calculate Relative Risks for Regression Models Using Natural Splines", Computer Methods and Programs in Biomedicine 84, 58-62.
- Siying Ma, Zadeh, M. M., Wuyang Chen, Jiguo Cao, Ganesh, V. (2025), ``Learning Data-Efficient and Generalizable Neural Operators via Fundamental Physics Knowledge." Accepted by NeurIPS 2025, Machine Learning and the Physical Sciences Workshop.
- Jiguo Cao and Guangzhe Fan, 2010, ``Signal Classification Using Random Forest with Kernels", AICT, page 191-195, IEEE Sixth Advanced International Conference on Telecommunications.
- Guangzhe Fan, Jiguo Cao, and Jiheng Wang, 2010, ``Functional Classification for Temporal Gene Expression Data with Kernel-Induced Random Forest", page 77-81, IEEE Symposium of Computational Intelligence of Bioinformatics and Computational Biology.
- Nicole Croteau, Farouk S Nathoo, Jiguo Cao and Ryan Budney, 2017, ``High-Dimensional Classification for Brain Decoding". Springer Publishing: Edited Refereed Volume/Book, Theme: Big and Complex Data Analysis: Methodologies and Applications, Editor: S. Ejaz Ahmed, 305-324.
- Jiguo Cao, Xin Qi, and Hongyu Zhao, 2012, ``Modelling gene regulation networks using ordinary differential equations", Chapter 12 in the book "Next Generation Microarray Bioinformatics", Humana Press, edited by Junbai Wang, Aik-choon Tan, and Tianhai Tian, 185-197.
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2007-2009
Statistical Application Papers in Refereed Journals
Refereed Publications in Conference Proceedings
Refereed Book Chapters
Software Packages[edit]
- Barinder Thind, Sidi Wu, Richard Groenewald, and Jiguo Cao, 2020, "FuncNN". An R package to fit functional neural network models. This package will allow users to build deep learning models that have either functional or scalar responses paired with functional and scalar covariates.
- Haixu Wang and Jiguo Cao, 2019, "pCODE". An R package for the Parameter Cascading Method for estimating ordinary differential equation models with missing or complete observations. It combines smoothing method and profile estimation to estimate any non-linear dynamic system. The package also offers variance estimates for parameters of interest based on either bootstrap or Delta method.
- Joel Therrien and Jiguo Cao, 2019, "largeRCRF". An R package designed to train competing risks random forests on large datasets.
Non-refereed contributions[edit]
- Peijun Sang, Yunlong Nie, and Jiguo Cao, 2015, ``Comments on: Probability Enhanced Effective Dimension Reduction for Classifying Sparse Functional Data", TEST.
- Jiguo Cao, Xin Qi and Hongyu Zhao, 2012, ``Modelling gene regulation networks using ordinary differential equations", Chapter 12 in the book Next Generation Microarray Bioinformatics, Humana Press, edited by Junbai Wang, Aik-choon Tan, and Tianhai Tian.
- Jiguo Cao and Liangliang Wang, 2011, Discussion of the paper ``Riemann manifold Langevin and Hamiltonian Monte Carlo methods" by Girolami and Calderhead. Journal of the Royal Statistical Society, Series B 73, 177-178.
- Jiguo's PhD Thesis (2006)