1. Introduction

2. Locally Linear Embedding

3. Kernel Locally Linear Embedding

4. Out-of-sample Embedding in LLE

5. Incremental LLE

6. Landmark Locally Linear Embedding for Big Data Embedding

7. Parameter Selection of the Number of Neighbors in LLE

8. Supervised and Semi-Supervised LLE

9. Robust Locally Linear Embedding

10. Fusion of LLE with Other Manifold Learning Methods

11. Weighted Locally Linear Embedding

12. Conclusion