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Update reference to the article
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constantino-garcia committed Sep 8, 2017
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4 changes: 2 additions & 2 deletions README.Rmd
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Expand Up @@ -37,8 +37,8 @@ distribution and the approximated one.

The method is fully described in the paper:

> García, C.A., Otero, A., Félix, P., Presedo, J. & Márquez D.G., (2017). **Non-parametric Estimation of Stochastic Differential Equations with
Sparse Gaussian Processes** _(under review)_, [preprint](https://arxiv.org/abs/1704.04375).
> García, C.A., Otero, A., Félix, P., Presedo, J. & Márquez D.G. **Non-parametric Estimation of Stochastic Differential Equations with
Sparse Gaussian Processes.** _Phys. Rev. E 96 (2017), 022104_. [Article](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.022104), [Preprint](https://arxiv.org/abs/1704.04375).

## Installation
`voila` is not currently available on [CRAN](http://cran.r-project.org/) but it
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34 changes: 27 additions & 7 deletions README.md
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Expand Up @@ -12,7 +12,7 @@ where W represents a [Wiener process](https://en.wikipedia.org/wiki/Wiener_proce

The method is fully described in the paper:

> García, C.A., Otero, A., Félix, P., Presedo, J. & Márquez D.G., (2017). **Non-parametric Estimation of Stochastic Differential Equations with Sparse Gaussian Processes** *(under review)*, [preprint](https://arxiv.org/abs/1704.04375).
> García, C.A., Otero, A., Félix, P., Presedo, J. & Márquez D.G. **Non-parametric Estimation of Stochastic Differential Equations with Sparse Gaussian Processes.** *Phys. Rev. E 96 (2017), 022104*. [Article](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.022104), [Preprint](https://arxiv.org/abs/1704.04375).
Installation
------------
Expand All @@ -32,6 +32,26 @@ from a single realization of an unidimensional [Ornstein–Uhlenbeck](https://en

``` r
library("voila", quietly = TRUE, verbose = FALSE)
#>
#> Attaching package: 'zoo'
#> The following objects are masked from 'package:base':
#>
#> as.Date, as.Date.numeric
#>
#> Attaching package: 'expm'
#> The following object is masked from 'package:Matrix':
#>
#> expm
#> ############################################
#> This is YUIMA Project package.
#> Check for the latest development version at:
#> http://R-Forge.R-Project.org/projects/yuima
#> ############################################
#>
#> Attaching package: 'yuima'
#> The following object is masked from 'package:stats':
#>
#> simulate
# simulate a Ornstein-Uhlenbeck time series using voila ---------------------
set.seed(1234)
samplingPeriod = 0.001
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#> Starting Variational Inference
#> Initial Lower Bound L = -59222.9
#> Iteration 1| Distributions update | L = 36691.347
#> Iteration 1| Hyperparameter optimization | L = 36691.906
#> Iteration 1| Hyperparameter optimization | L = 36691.904
#> HP = 0.995 1.49 0.00219 1.5 -2.12 -1.63 -1.17 -0.682 -0.228 0.267 0.721 1.19 1.69 2.16 -0.824
#>
#> Iteration 2| Distributions update | L = 36698.411
#> Iteration 2| Hyperparameter optimization | L = 36698.439
#> HP = 0.997 1.51 0.00209 1.51 -2.12 -1.63 -1.17 -0.681 -0.227 0.267 0.721 1.19 1.69 2.16 -0.815
#> Iteration 2| Distributions update | L = 36698.412
#> Iteration 2| Hyperparameter optimization | L = 36698.44
#> HP = 0.997 1.51 0.00209 1.51 -2.12 -1.63 -1.17 -0.682 -0.227 0.267 0.721 1.19 1.69 2.16 -0.815
#>
#> Iteration 3| Distributions update | L = 36698.454
#> Iteration 3| Distributions update | L = 36698.455
#> Iteration 3| Hyperparameter optimization | L = 36698.475
#> HP = 1 1.53 0.00205 1.52 -2.12 -1.63 -1.17 -0.682 -0.227 0.267 0.721 1.19 1.69 2.16 -0.806
#> HP = 1 1.53 0.00205 1.52 -2.12 -1.63 -1.17 -0.682 -0.227 0.267 0.721 1.19 1.69 2.16 -0.805
#>
#> CONVERGENCE
# Analyze results --------------------------------------------------------
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