Reduced basis catalogs for gravitational wave templates
Scott E. Field, Chad R. Galley, Frank Herrmann, Jan S. Hesthaven, Evan, Ochsner, Manuel Tiglio

TL;DR
This paper presents a reduced basis method for gravitational wave templates that significantly decreases the number of templates needed for accurate waveform representation, improving efficiency in gravitational wave searches.
Contribution
The paper introduces a novel reduced basis approach for gravitational wave modeling, drastically reducing template counts compared to traditional methods.
Findings
Achieves 99% and 99.999% accuracy with 10 to 100,000 times fewer templates.
The method provides a compact, finite basis for representing the continuum of gravitational waves.
Robust against detector noise variations, requiring only a single catalog.
Abstract
We introduce a reduced basis approach as a new paradigm for modeling, representing and searching for gravitational waves. We construct waveform catalogs for non-spinning compact binary coalescences, and we find that for accuracies of 99% and 99.999% the method generates a factor of about fewer templates than standard placement methods. The continuum of gravitational waves can be represented by a finite and comparatively compact basis. The method is robust under variations in the noise of detectors, implying that only a single catalog needs to be generated.
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