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- Timestamp:
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Dec 26, 2010, 1:14:42 AM (14 years ago)
- Author:
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Víctor de Buen Remiro
- Comment:
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v12
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v13
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67 | 67 | || ''bounded region''[[BR]][[Image(source:/tolp/OfficialTolArchiveNetwork/BysPrior/doc/image003.png)]] || ''unbounded region''[[BR]][[Image(source:/tolp/OfficialTolArchiveNetwork/BysPrior/doc/image002.png)]] || |
68 | 68 | |
69 | | |
70 | 69 | An special and common case of polytope region is the defined by order relations like |
71 | 70 | |
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88 | 87 | |
89 | 88 | [[LatexEquation( \frac{\partial g\left(x\right)}{\partial x_{i}}=3\underset{k=1}{\overset{r}{\sum}}D_{k}^{2}\left(x\right)A_{ki} )]] |
| 89 | |
| 90 | === Non linear constraining prior === |
| 91 | |
| 92 | We can express any set of arbitrary non linear constraining inequations defining |
| 93 | as |
| 94 | |
| 95 | [[LatexEquation( g_{k}\left(x\right)} \leq 0 \forall k=1 dots r)]] |
| 96 | |
| 97 | In this case we need to define also the gradient of each one. |
| 98 | |
| 99 | || ''bounded region''[[BR]][[Image(source:/tolp/OfficialTolArchiveNetwork/BysPrior/doc/image005.png)]] || ''unbounded region''[[BR]][[Image(source:/tolp/OfficialTolArchiveNetwork/BysPrior/doc/image006.png)]] || |
| 100 | |
90 | 101 | |
91 | 102 | == Random priors == |