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New Fourier Features Enhance Nonstationary Gaussian Process Simulation

Researchers have developed regular Fourier features to address challenges in simulating nonstationary Gaussian processes. This new method discretizes the spectral representation directly, avoiding the need for probability assumptions that limit stationary processes. The approach yields an efficient, low-rank approximation that maintains correlation structure and positive semi-definiteness, and it can be extended to kernel learning from data when the spectral density is unknown. AI

IMPACT This research offers a more efficient method for simulating complex Gaussian processes, potentially improving machine learning models that rely on these statistical techniques.

RANK_REASON Academic paper on a novel method for Gaussian Processes. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Arsalan Jawaid, Abdullah Karatas, J\"org Seewig ·

    Regular Fourier Features for Nonstationary Gaussian Processes

    arXiv:2602.23006v2 Announce Type: replace-cross Abstract: Simulating a Gaussian process requires sampling from a high-dimensional Gaussian distribution, which scales cubically with the number of sample locations. Spectral methods address this challenge by exploiting the Fourier r…