Research

My general research interests are statistical methods for nonparametric and high dimensional settings. My methodological research is focused on measurement error modeling, graphical model, and sufficient dimension reduction. In addition, I collaborated with scientists in various fields to address scientific questions using data.  

PUBLICATIONS AND PREPRINTS

Statistical Theory and Methodology

1. L. Nghiem,  F.K.C. Hui, S. Mueller, and A. H. Welsh (2025+). High dimensional sliced inverse regression in the presence of endogeneity, submitted.  Preprint.
2. L. Nghiem, A. Ding, S. Wu (2025+). Logistic Regression Model for Differentially-Private Matrix Masking Data, tentatively accepted in The American Statistician.
   
3. L. Nghiem, A. Ding, S. Wu (2025). Statistical Analyses of Linear Regression and Contingency Tables for Data Masked with Random Matrix and Noise, Proceedings of the International Sri Lanka Statistical Conference 2024.
   
4. W. Li, L. Nghiem, F.K.C. Hui, A. H. Welsh (2024+). Sufficient dimension reduction in the presence of non-ignorable missing covariates, submitted.
5. L. Nghiem and F.K.C. Hui (2024+). Random effects model-based sufficient dimension reduction for independent clustered data, Journal of American Statistical Association. Preprint
   
6. L. Nghiem and C. Potgieter (2023+). A linear errors-in-variables model with unknown heteroscedastic measurement errors, Statistica Sinica. Paper
   
7. L. Nghiem,  F.K.C. Hui, S. Mueller, and A. H. Welsh (2024). Likelihood-based surrogate dimension reduction, Statistics and Computing. Paper
   
8. L. Nghiem,  F.K.C. Hui, S. Mueller, and A. H. Welsh (2022). Screening methods for linear errors-in-variables models in high dimensions,  Biometrics. Paper
   
9. L. Nghiem,  F.K.C. Hui, S. Mueller, and A. H. Welsh (2022). Estimation of graphical models for skew continuous data,  Scandinavian Journal of Statistics. Paper
   
10. F.K.C. Hui and L. Nghiem (2022). Sufficient dimension reduction for clustered data via finite mixture modelling, Australian and New Zealand Journal of Statistics. Paper
    
11. L. Nghiem,  F.K.C. Hui, S. Mueller, and A. H. Welsh (2021). Sparse sliced inverse regression via Cholesky matrix penalization, Statistica Sinica. Paper
    
12. M. Byrd, L. Nghiem, and M. Mcgee (2021). Bayesian regularization of Gaussian graphical models with measurement errors, Computational Statistics and Data Analysis. Paper
    
13. L. Nghiem, M. Byrd, and C. Potgieter (2020). Estimation in linear errors-in-variables models with unknown error distribution, Biometrika. Paper
    
14. L. Nghiem and C. Potgieter (2019). Simulation-Selection-Extrapolation: Estimation in high-dimensional errors-in-variables models, Biometrics. Paper
15. L. Nghiem and C. Potgieter (2018). Phase function density deconvolution with heteroscedastic measurement error of unknown type (2018), Statistics in Medicine.  Paper

Applications

1. N. Chen, J. Chan, and L. Nghiem (2025+). Expectile and Value at Risk Modeling for Cryptocurrency using Bayesian Approach, submitted. Preprint
   
2. M. Woollard, P. Panwar, L. Harland, J. Mo, H. Zhang, A. Swarbrick, B. Gottgens, S. Ghazanfar, and L. Nghiem (2025+). Weighted sliced inverse regression for scalable supervised dimensionality reduction of spatial transcriptomics data, submitted. Preprint.
   
3. L. Nghiem, J. Cao, C. Kouros, C. Moon (2025). Enhancing Empathic Accuracy: Penalized Functional Alignment Method to Correct Temporal Misalignment in Real-Time Emotional Perception, Psychometrika. Paper
4. L. Nghiem, B. Tabak, Z. Wallmark, T. Alvi, and J. Cao (2022). A Bayesian Latent Variable Model for Analysis of Empathic Accuracy, Recent Advances on Sampling Methods and Educational Statistics. Paper
   
5. B. Tabak, Z. Wallmark, L. Nghiem, T. Alvi, T. Sunahara, C. S. Lee, and J. Cao (2022). Initial evidence for a relation between behaviorally assessed empathic accuracy and affect sharing for people and music, Emotion. Paper.
   
6. Z. Wallmark, L. Nghiem, and L. Marks (2021). Does timbre modulate visual perception? Exploring cross-modal interactions, Music Perception: An Interdisciplinary Journal. Paper
   
7. Z. Wallmark, R. Frank, and L. Nghiem (2019). Creating novel timbres from adjectives: An exploratory study using FM synthesis,  Psychomusicology: Music, Mind, and Brain. Paper
   
8. L. Nghiem and T. Yunes (2016). A Heuristic Method for Scheduling Band Concert Tours, SIAM Journal of Undergraduate Research. Paper