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| author | Daniel Wolff |
|---|---|
| date | Fri, 19 Aug 2016 13:07:06 +0200 |
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| children |
| rev | line source |
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| Daniel@0 | 1 <html> |
| Daniel@0 | 2 <head> |
| Daniel@0 | 3 <title> |
| Daniel@0 | 4 Netlab Reference Manual demev2 |
| Daniel@0 | 5 </title> |
| Daniel@0 | 6 </head> |
| Daniel@0 | 7 <body> |
| Daniel@0 | 8 <H1> demev2 |
| Daniel@0 | 9 </H1> |
| Daniel@0 | 10 <h2> |
| Daniel@0 | 11 Purpose |
| Daniel@0 | 12 </h2> |
| Daniel@0 | 13 Demonstrate Bayesian classification for the MLP. |
| Daniel@0 | 14 |
| Daniel@0 | 15 <p><h2> |
| Daniel@0 | 16 Synopsis |
| Daniel@0 | 17 </h2> |
| Daniel@0 | 18 <PRE> |
| Daniel@0 | 19 demev2</PRE> |
| Daniel@0 | 20 |
| Daniel@0 | 21 |
| Daniel@0 | 22 <p><h2> |
| Daniel@0 | 23 Description |
| Daniel@0 | 24 </h2> |
| Daniel@0 | 25 A synthetic two class two-dimensional dataset <CODE>x</CODE> is sampled |
| Daniel@0 | 26 from a mixture of four Gaussians. Each class is |
| Daniel@0 | 27 associated with two of the Gaussians so that the optimal decision |
| Daniel@0 | 28 boundary is non-linear. |
| Daniel@0 | 29 A 2-layer |
| Daniel@0 | 30 network with logistic outputs is trained by minimizing the cross-entropy |
| Daniel@0 | 31 error function with isotroipc Gaussian regularizer (one hyperparameter for |
| Daniel@0 | 32 each of the four standard weight groups), using the scaled |
| Daniel@0 | 33 conjugate gradient optimizer. The hyperparameter vectors <CODE>alpha</CODE> and |
| Daniel@0 | 34 <CODE>beta</CODE> are re-estimated using the function <CODE>evidence</CODE>. A graph |
| Daniel@0 | 35 is plotted of the optimal, regularised, and unregularised decision |
| Daniel@0 | 36 boundaries. A further plot of the moderated versus unmoderated contours |
| Daniel@0 | 37 is generated. |
| Daniel@0 | 38 |
| Daniel@0 | 39 <p><h2> |
| Daniel@0 | 40 See Also |
| Daniel@0 | 41 </h2> |
| Daniel@0 | 42 <CODE><a href="evidence.htm">evidence</a></CODE>, <CODE><a href="mlp.htm">mlp</a></CODE>, <CODE><a href="scg.htm">scg</a></CODE>, <CODE><a href="demard.htm">demard</a></CODE>, <CODE><a href="demmlp2.htm">demmlp2</a></CODE><hr> |
| Daniel@0 | 43 <b>Pages:</b> |
| Daniel@0 | 44 <a href="index.htm">Index</a> |
| Daniel@0 | 45 <hr> |
| Daniel@0 | 46 <p>Copyright (c) Ian T Nabney (1996-9) |
| Daniel@0 | 47 |
| Daniel@0 | 48 |
| Daniel@0 | 49 </body> |
| Daniel@0 | 50 </html> |