Abstract
We suggest a method to generate time-varying Gaussian noise with controlled variance and controlled temporal correlation. This noise is used in several downstream tasks for temporal control and temporal coherence. The core technical idea is to phrase this problem as joint Monte-Carlo estimation of both a classic pixel reconstruction and estimation of variance using the concept of "sketching" from the database literature. We demonstrate that our method allows temporal control for downstream tasks with simpler and faster code than previous methods.
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Publication details
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- Open access
- Green open access
Cite this article
APA 7
Ritschel, T., Zhou, Y., Milef, N., Dereviannykh, M., Liu, C., Hery, C., & Marshall, C. (2026). Tabula Rasa: Monte Carlo estimation of unit-variance noise with controlled spatio-temporal correlation. https://omanscience.com/en/articles/tabula-rasa-monte-carlo-estimation-of-unit-variance-noise-with-controlled-spatio-temporal-correlation
MLA 9
Ritschel, Tobias, et al. "Tabula Rasa: Monte Carlo estimation of unit-variance noise with controlled spatio-temporal correlation." https://omanscience.com/en/articles/tabula-rasa-monte-carlo-estimation-of-unit-variance-noise-with-controlled-spatio-temporal-correlation.
Chicago (author–date)
Ritschel, Tobias, Yang Zhou, Nick Milef, Mikhail Dereviannykh, Chen Liu, Christophe Hery, and Carl Marshall. 2026. "Tabula Rasa: Monte Carlo estimation of unit-variance noise with controlled spatio-temporal correlation." https://omanscience.com/en/articles/tabula-rasa-monte-carlo-estimation-of-unit-variance-noise-with-controlled-spatio-temporal-correlation.
Harvard
Ritschel, T., Zhou, Y., Milef, N., Dereviannykh, M., Liu, C., Hery, C. and Marshall, C. (2026) 'Tabula Rasa: Monte Carlo estimation of unit-variance noise with controlled spatio-temporal correlation', Available at: https://omanscience.com/en/articles/tabula-rasa-monte-carlo-estimation-of-unit-variance-noise-with-controlled-spatio-temporal-correlation.
Vancouver
Ritschel T, Zhou Y, Milef N, Dereviannykh M, Liu C, Hery C, et al. Tabula Rasa: Monte Carlo estimation of unit-variance noise with controlled spatio-temporal correlation. https://omanscience.com/en/articles/tabula-rasa-monte-carlo-estimation-of-unit-variance-noise-with-controlled-spatio-temporal-correlation
IEEE
T. Ritschel, Y. Zhou, N. Milef, M. Dereviannykh, C. Liu, C. Hery, and C. Marshall, "Tabula Rasa: Monte Carlo estimation of unit-variance noise with controlled spatio-temporal correlation," https://omanscience.com/en/articles/tabula-rasa-monte-carlo-estimation-of-unit-variance-noise-with-controlled-spatio-temporal-correlation.