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- Timestamp:
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May 6, 2010, 4:20:58 PM (16 years ago)
- Author:
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Víctor de Buen Remiro
- Comment:
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| 1 | | = BysVecLinReg = |
| 2 | | |
| 3 | 1 | BysVecLinReg yields for Bayesian simulator of Vectorial Linear Regression with arbitrary constraining inequations |
| 4 | 2 | |
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| 18 | 16 | [[LatexEquation(e_{.,j} \sim N\left(0,V\right) E\in\mathbb{R}^{d\times d} \forall j=1 \ldots d )]][[BR]] |
| 19 | 17 | |
| 20 | | where [[LatexEquation(V)]] is symmetric positive definite and unknown, but the same for each column[[BR]] |
| | 18 | where [[LatexEquation(V)]] is symmetric positive definite and unknown, but the same for each column.[[BR]] |
| 21 | 19 | |
| 22 | 20 | When there are some restriction over parameters inside [[LatexEquation(A)]] we must to add the inequations of feasible region [[BR]] |
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| 28 | 26 | [[LatexEquation( F\left(A\right):\mathbb{R}^{d\times m}\longrightarrow\mathbb{R}^{r} )]] [[BR]] |
| 29 | 27 | |
| 30 | | the constraining function. [[BR]] |
| | 28 | the arbitrary constraining function. [[BR]] |
| 31 | 29 | |
| 32 | | The method used in this package is based on [http://research.microsoft.com/en-us/um/people/minka/papers/minka-linear.ps.gz Bayesian linear regression Thomas Minka (2001)] |
| | 30 | The method used in this package is based on [https://www.tol-project.org/export/HEAD/tolp/trunk/tol_pkg/BysVecLinReg/doc/bayes-linear-minka.pdf Bayesian linear regression Thomas Minka (2001)] |