Generative Locally Linear Embedding

Understand

Locally Linear Embedding (LLE) is a nonlinear spectral dimensionality reduction and manifold learning method.

• It has two main steps which are linear reconstruction and linear embedding of points in the input space and embedding space, respectively.
• In this work, we propose two novel generative versions of LLE, named Generative LLE (GLLE), whose linear reconstruction steps are stochastic rather than deterministic.
• GLLE assumes that every data point is caused by its linear reconstruction weights as latent factors.