RBIG 2.0 Ideas

• Neural Spline Flows - github
• Linear Rational Splines - github

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$$\mathcal{X} \rightarrow \mathcal{Z}$$

Option I

• $F_\theta: (-\infty, \infty) \rightarrow [0,1]$ - CDF
• $\sigma^{-1}: [0,1] \rightarrow (-\infty, \infty)$ - Logit Function

Option II

• $F_\theta: (-\infty, \infty) \rightarrow [0,1]$
• $\text{Quantile}_{\mathcal{G}}^{-1}: [0,1] \rightarrow (-\infty, \infty)$ - Quantile Gaussian Function

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CDF Function

• Mixture of Gaussians
• Mixture of Logistics
• Linear Quadratic Splines
• Rational Quadratic Splines
• NonLinear Squared Flows

Logit Function

• Logit Function
• Gaussian Quantile Function

Rotation

• HouseHolder Transforms
• SVD
• QR Decomposition
• LU Decomposition