id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_dhfbsrtekzhwpbhp5vvyoh5mvq	Nicolas Durrande	Detecting periodicities with Gaussian processes	2016	18	.pdf	application/pdf	7119	946	63	decomposition of the covariance function as the sum of periodic and aperiodic kernels. product to the implementation of the associated periodic kernels in a Gaussian process Keywords RKHS, Harmonic analysis, Circadian rhythm, Gene expression, Matérn kernels spaces (RKHS) and on the consequences for Gaussian process modelling. some expressions of kernels leading to RKHS of periodic functions can be found in the COSOPT, the periodic Gaussian process model and linear regression. • Gaussian process regression with a periodic kernel. Gaussian Process with periodic covariance function. The models fitted with COSOPT, linear regression and the periodic Gaussian process to consider a pseudo-periodic Gaussian process y = y1+yp with a kernel given by 'Decomposition in periodic and aperiodic sub-models' for more details). Figure 4 Distribution of the periodicity ratio over all genes according to the Gaussian process models. COSOPT but not by the Gaussian process approach, whereas in (B) they are labelled as periodic only	./cache/work_dhfbsrtekzhwpbhp5vvyoh5mvq.pdf	./txt/work_dhfbsrtekzhwpbhp5vvyoh5mvq.txt