Binomial EPCA
Math
| Name | BinomialEPCA |
|---|---|
| $G(\theta)$ | $n \log(1 + e^\theta)$ |
| $g(\theta)$ | $\frac{n e^\theta}{1+e^\theta}$ |
| $\mu$ Space[1] | $(0, n)$ |
| $\Theta$ Space | real |
| Appropriate Data | count |
| $n$ | $n \geq 0$ (number of trials) |
$G$ is the scaled softplus function and $g$ is the scaled logistic function.
Documentation
ExpFamilyPCA.BinomialEPCA — FunctionBinomialEPCA(indim::Integer, outdim::Integer, n::Integer; options::Options = Options(μ = 0.5))Binomial EPCA.
Arguments
indim::Integer: Dimension of the input space.outdim::Integer: Dimension of the latent (output) space.n::Integer: A known parameter representing the number of trials (nonnegative).options::Options: Optional parameters (default:μ = 0.5).
Returns
epca: AnEPCAsubtype for the binomial distribution.
- 1$\mu$ space refers to the space of valid regularization parameters, not to the expectation parameter space.