Publications & Preprints

Most of my research items can be viewed for free via the links below to the open access journal articles or arXiv preprint versions. (Should you have any comments or wish to collaborate, please don't hesitate to get in touch!)

1. N. Kirk, I. Gvozdanović, S. Petrović. Multilevel Sampling in Algebraic Statistics. Preprint, arxiv/2505.04062 (2025)

• [Link] [Code]

2. N. Kirk, T. K. Rusch, Z. Zech, D. Rus. Low Stein discrepancy via Message-Passing Monte Carlo. Preprint, arXiv/2503.21103 (2025)

• [Link] [Code]

3. F. J. Hickernell, N. Kirk, A. G. Sorokin. Quasi-Monte Carlo Methods: What, Why and How?  Preprint, arXiv/2502.03644 (2025)

• [Link]

4. A. Emmett-Iwanwi, N. Kirk. Enhancing neural autoregressive distribution estimators for image reconstruction. Preprint (2025)

• [Link] [Code]

5. T. K. Rusch, N. Kirk, M. Bronstein, C. Lemieux, D. Rus. Message-Passing Monte Carlo: Generating low-discrepancy point sets via graph neural networks. Proc. Natl. Acad. Sci. U.S.A. (PNAS), 121 (40), e2409913121 (2024)

• [Link] [Code]

6. N. Kirk, C. Lemieux. An Improved Halton Sequence for Implementation in Quasi-Monte Carlo Methods. 2024 Winter Simulation Conference (WSC). IEEE, 2024

• [Link] 

7. N. Kirk, C. Lemieux, J. Wiart. Golden ratio nets and sequences. Funct. Approx. Comment. Math. 1-45, 10.7169/facm/240915-22-9 (2025)

• [Link]

8. F. Clément, N. Kirk, F. Pausinger. Partitions for Stratified Sampling. Monte Carlo Methods Appl., 30 (2), 163-181 (2024)

• [Link]

9. N. Kirk, F. Pausinger. On the Expected L2-discrepancy of Jittered Sampling. Unif. Dist. Theory, 18 (1), 65-82 (2023)

• [Link]

10. N. Kirk. On Proinov's Lower Bound for the Diaphony. Unif. Dist. Theory, 15 (2), 39-72 (2020) 

• [Link]