5,321
edits
Unsupervised Learning: Difference between revisions
→Model
(→Model) |
|||
| Line 194: | Line 194: | ||
* Generate latent variables <math>z^{(1)},...,z^{(m)} \in \mathbb{R}^r</math> iid where dimension r is less than n. | * Generate latent variables <math>z^{(1)},...,z^{(m)} \in \mathbb{R}^r</math> iid where dimension r is less than n. | ||
** We assume <math>Z^{(i)} \sim N(\mathbf{0},\mathbf{I})</math> | ** We assume <math>Z^{(i)} \sim N(\mathbf{0},\mathbf{I})</math> | ||
* Generate <math>x^{(i)}</math> where <math>X^{(i)} \vert Z^{(i)} \ | * Generate <math>x^{(i)}</math> where <math>X^{(i)} \vert Z^{(i)} \sim N(g_{\theta}(z), \sigma^2 \mathbf{I})</math> | ||
** For some function <math>g_{\theta_1}</math> parameterized by <math>\theta_1</math> | ** For some function <math>g_{\theta_1}</math> parameterized by <math>\theta_1</math> | ||