Welcome to the website of Jan van Waaij!
Research interest
Here I collect my publications.
Publications
- J. van Waaij, J.H. van Zanten, Gaussian process methods for one-dimensional diffusions: Optimal rates and adaptation, Electronic Journal of Statistics, 2016, vol. 10. Read online.
- J. van Waaij, J.H. van Zanten, Full adaptation to smoothness using randomly truncated series priors with Gaussian coefficients and inverse gamma scaling, Statistics & Probability Letters, 2017, vol 123. Read online or on arXiv (free).
- F. van der Meulen, M. Schauer, J. van Waaij, Adaptive nonparametric drift estimation for diffusion processes using Faber--Schauder expansions, Statistical Inference for Stochastic Processes, 2018, vol. 21, num. 3. Read online.
- Jan van Waaij, Zilong Li and Carsten Wiuf, Estimation of the covariance structure from SNP allele frequencies, Statistical Applications in Genetics and Molecular Biology, vol. 21, no. 1, 2022. Read online. The version on arXiv has an improved result.
- Jan van Waaij, Song Li, Genís Garcia-Erill, Anders Albrechtsen, Carsten Wiuf, Evaluation of population structure inferred by principal component analysis or the admixture model, Genetics, Volume 225, Issue 2, 2023. Read online or preprint.
- B.J.K. Kleijn, J. van Waaij, Asymptotic uncertainty quantification for communities in sparse planted bi-section models, Journal of Statistical Planning and Inference, Volume 227, 2023, Pages 112-128. Read online.
- B.J.K. Kleijn, J. van Waaij, Confidence sets in a sparse stochastic block model with two communities of unknown sizes, Electronic Journal of Statistics, Volume 19, 2025, Pages 5147-5170. Read online.
- J. Rubin, J. van Waaij, L. Kraft, J. Sirén, P. W. Sackett, G. Renaud, SAFARI: pangenome alignment of ancient DNA using purine/pyrimidine encodings, NAR Genomics and Bioinformatics, volume 7, issue 4, 2025. Read online.
- J. van Waaij, M.V. Hartmann, P.W. Sackett, G. Renaud, CHARON: estimating the drift time and the number of individuals in environmental DNA with diploid individuals, G3 Genes|Genomes|Genetics, 2026. Read online.
Preprints
- J. van Waaij, Adaptive posterior contraction rates for empirical Bayesian drift estimation of a diffusion, arXiv, 2019. Read online.
- J. van Waaij, B.J.K. Kleijn, Uncertainty quantification in the stochastic block model with an unknown number of classes, arXiv, 2020. Read online.
- J. van Waaij, B.J.K. Kleijn, Uncertainty quantification and testing in a stochastic block model with two unequal communities, arXiv, 2021. Read online.
- B.J.K. Kleijn, J. van Waaij, Confidence sets in a sparse stochastic block model with two communities of unknown sizes, arXiv, 2021. Read online.
- Jan van Waaij, Necessary and sufficient conditions for identifiability in the admixture model, arXiv, 2022. Read online.
Theses
- Bachelor thesis, 2011, Suprema in ruimten van operatoren (Dutch), Leiden University, Read online
- Master thesis, 2013, Tensor products in Riesz space theory, Leiden University, Read online
- PhD thesis, 2018, Adaptive posterior contraction rates for diffusions, University of Amsterdam, Read online
Software
- BayesianNonparametricStatistics.jl is a Julia package to sample from nonparametric posteriors with data from a diffusion process (SDE). You can simulate SDEs, simulate Gaussian processes, calculate the posterior associated with diffusion process and a Gaussian process prior.
- Charon.jl is a Julia package to estimate drift parameters from environmental DNA.
Tutorials
- This is a Julia tutorial in English on YouTube.
- This is a Julia tutorial in Dutch on YouTube.
Notes
Contact
info@janvanwaaij.com
Social media