Commit 16c25085 authored by Ying-Qiu Zheng's avatar Ying-Qiu Zheng
Browse files


parent abccf2f3
......@@ -113,4 +113,4 @@ The posterior of $`\mathbf{U}`$ is
P(\mathbf{U}|\mathbf{t}, \mathbf{H}^{L}, \mathbf{w}, \beta_1,...\beta_d) \propto P(\mathbf{t}|\mathbf{X}^{L},\mathbf{U}, \mathbf{w})P(\mathbf{U} | \mathbf{w}, \beta_1,...\beta_d)
where $`P(\mathbf{t}|\mathbf{X}^{L},\mathbf{U}, \mathbf{w}) = \sigma(\mathbf{X}^{L}\mathbf{Uw})`$ and $`P(\mathbf{U} | \mathbf{w}, \beta_1,...\beta_d) = \mathcal{N}(\mathbf{UW} | \mathbf{0}, \text{diag}(\beta_1,...\beta_d))`$, s.t. $`\mathbf{U}^{T}\mathbf{U} = \mathbf{I}`$.
where $`P(\mathbf{t}|\mathbf{X}^{L},\mathbf{U}, \mathbf{w}) = \sigma(\mathbf{X}^{L}\mathbf{Uw})`$ and $`P(\mathbf{U} | \mathbf{w}, \beta_1,...\beta_d) = \mathcal{N}(\mathbf{Uw} | \mathbf{0}, \text{diag}(\beta_1,...\beta_d))`$, s.t. $`\mathbf{U}^{T}\mathbf{U} = \mathbf{I}`$.
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