gprege {gprege} | R Documentation

## Gaussian process ranking and estimation of gene expression time-series

### Description

Fits two GPs with the an RBF (+ noise diagonal) kernel on each profile. One GP kernel is initialised wih a short lengthscale hyperparameter, signal variance as the observed variance and a zero noise variance. It is optimised via scaled conjugate gradients (netlab). The other GP has fixed hyperparameters with a zero inverse-width, zero signal variance and noise variance as the observed variance. The log-ratio of marginal likelihoods of the two hypotheses acts as a score of differential expression for the profile. Comparison via ROC curves is performed against BATS (Angelini et.al, 2007). See Kalaitzis & Lawrence (2011) for a detailed discussion of the ranking algorithm and dataset used.

### Usage

      gprege(data, inputs, gpregeOptions)

### Arguments

`data` | The matrix of gene expression profiles; one profile per row.
`inputs` | Inputs (timepoints) to the GP.
`gpregeOptions` | Options list for gprege with fields explore Logical. TRUE operates in a user interactive mode. Used for examining individual gene expression profiles. labels A binary vector. TRUE specifies whether the corresponding profile comes from a differentially expressed gene (usually from a ground truth). indexRange A numeric vector. Range of indices of profiles on which the function should operate. Useful for selective exploration of specific profiles, e.g. only genes marked as differentially expressed in a ground truth list. interpolatedT A numeric vector. New timepoints to interpolate for each profile, based on the estimated function values. iters A scalar. The number of iterations for scaled-conjugate gradients (SCG) optimisation. display Logical. Display gradient and LML information on each SCG iteration. inithypers The matrix of hyperparameter configurations as its rows. Each row has the following format: [inverse-lengthscale percent-signal-variance percent-noise-variance] The first row corresponds to a (practically constant) function with a very large lengthscale. Such a function will account for 0 percent of the observed variance in the expression profile (hence 0 for signal) and explain it as noise (hence 1 for noise). Subsequent rows (initialisations for SCG optimisation) correspond to functions of various lengthscales that explain all the observed variance as signal. A reasonable lengthscale would be roughly in line with the time-point sampling intervals. exhaustPlotRes A scalar. The search resolution. Used for interactive mode (explore == 1). exhaustPlotLevels A scalar. Number of contour levels in the exhaustive plot. Used for interactive mode (explore == 1). exhaustPlotMaxWidth A scalar. the maximum lengthscale to search for. Used for interactive mode (explore == 1).

### Value

`gpregeOutput` | Output list with fields: signalvar A numeric vector of the vertical lengthscales of the optimised RBF kernel; one for each profile. noisevar A numeric vector. Similar to signalvar, but for the noise hyperparameter. width A numeric vector. Similar to signalvar and noisever, but for the horizontal lengthscales of the RBF. LMLs A numeric vector of log-marginal likelihoods of the GP; one for each profile. interpolatedData A matrix of the extended dataset with interpolated values as the augmenting columns. rankingScores A numeric vector of the ranking scores, based on the log-ratio of marginal likelihoods.

### See Also

`gpOptions, gpCreate, gpExpandParam, gpOptimise, gpExtractParam, gpLogLikelihood, gpPosteriorMeanVar.`

### Examples

      ## see demTp63Gp1.R
      data(FragmentDellaGattaData) ## Load demo data.
      ## Setup other gprege options.
      gpregeOptions = list(indexRange=(1:2), explore=TRUE, exhaustPlotRes=30, exhaustPlotLevels=10,
        exhaustPlotMaxWidth=100, iters=100, labels=DGatta_labels_byTSNI, display=FALSE)
      ## Matrix of different hyperparameter configurations as rows:
      ## [inverse-lengthscale   percent-signal-variance   percent-noise-variance].
      gpregeOptions$inithypers <- matrix( c(
    	   1/1000,	1e-3,	0.999
    	  ,1/20,	0.999,	1e-3
        ), ncol=3, byrow=TRUE)
      gpregeOutput <- gprege(data=exprs_tp63_RMA, inputs=matrix(seq(0,240,by=20), ncol=1), gpregeOptions=gpregeOptions)

[Package gprege version 1.24.0 Index]