This episode explores the paper "Regular Fourier Features for Nonstationary Gaussian Processes" by Arsalan Jawaid, Abdullah Karatas, and Jörg Seewig. The discussion focuses on the innovative use of regular Fourier features to model nonstationary data in Gaussian processes without relying on traditional probability assumptions. This method offers a computationally efficient way to handle nonstationarity, making it particularly relevant for fields like finance and climate modeling. The episode delves into the challenges and potential applications of this approach, highlighting its significance in providing a flexible framework for complex, real-world data scenarios.
Sources:
1. Regular Fourier Features for Nonstationary Gaussian Processes — Arsalan Jawaid, Abdullah Karatas, Jörg Seewig, 2026
http://arxiv.org/abs/2602.23006v1
2. Random Features for Large-Scale Kernel Machines — Ali Rahimi, Benjamin Recht, 2007
https://scholar.google.com/scholar?q=Random+Features+for+Large-Scale+Kernel+Machines
3. Spectral Mixture Kernels for Gaussian Processes — Andrew Gordon Wilson, Ryan Prescott Adams, 2013
https://scholar.google.com/scholar?q=Spectral+Mixture+Kernels+for+Gaussian+Processes
4. Nonstationary Gaussian Process Regression through Latent Inputs — Mauricio A. Álvarez, David Luengo, Neil D. Lawrence, 2009
https://scholar.google.com/scholar?q=Nonstationary+Gaussian+Process+Regression+through+Latent+Inputs
5. Gaussian Processes for Time-Series Modeling — Carl Edward Rasmussen, Christopher K. I. Williams, 2006
https://scholar.google.com/scholar?q=Gaussian+Processes+for+Time-Series+Modeling
6. Learning the Kernel Matrix with Semi-Definite Programming — Gert R. G. Lanckriet, Nello Cristianini, Peter Bartlett, Laurent El Ghaoui, Michael I. Jordan, 2004
https://scholar.google.com/scholar?q=Learning+the+Kernel+Matrix+with+Semi-Definite+Programming
7. Deep Kernel Learning — Andrew Gordon Wilson, Zhiting Hu, Ruslan Salakhutdinov, Eric P. Xing, 2016
https://scholar.google.com/scholar?q=Deep+Kernel+Learning
8. Gaussian Processes for Machine Learning — Carl Edward Rasmussen, Christopher K. I. Williams, 2006
https://scholar.google.com/scholar?q=Gaussian+Processes+for+Machine+Learning
9. Non-stationary Gaussian Process Regression using Point Estimates of Local Smoothness — Andreas Damianou, Michalis Titsias, Neil Lawrence, 2016
https://scholar.google.com/scholar?q=Non-stationary+Gaussian+Process+Regression+using+Point+Estimates+of+Local+Smoothness