Embedding |
- Transformation from one space and distance function to another space (generally vector) and distance function (generally Euclidean)
|
- Both nature of space and distance function are important
|
- Example: Given a metric space with distance function
with objects, embed into -dimensional vector space with distance function 
|
|
|
|
- Dimension
of a point is dependent on 
|
|
|
|
- In general, not possible for other
norms
|
|
|
|
|
- Original:

|
|
|
- Embeddings:

|
|
|
|
|
|
|
|
|
|
|
|
|