Questions tagged [manifold]
The manifold tag has no usage guidance.
8
questions
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Can an Isomap be embedded in a manifold of higher dimension than the corresponding MDS?
I am using the Isomap algorithm to operate a dimension reduction on a distance matrix $M_{dist}$.
For a given choice of nearest neighbors k to compute the geodesic distance, I use the following method ...
3
votes
1answer
28 views
Generative Adversarial Text to Image Synthesis
Can anyone explain the meaning of this line:
"Deep networks have been shown to learn representations
in which interpolations between embedding pairs tend to
be near the data manifold".
...
1
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0answers
151 views
Hyperbolic coordinates (Poincaré embeddings) as the output of a neural network
I'm trying to build a Deep Learning predictor that takes as the input a set of word vectors (in Euclidian space) and outputs Poincaré embeddings. So far I am not having much luck, because model ...
2
votes
0answers
29 views
Dimension of the manifold on which my data sits
Suppose that I have data points, in the form of vectors with binary entries. We create a metric space, or Vietoris-Rips complex, using the Hamming distance between the data points.
I would like to ...
1
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0answers
88 views
Can I use manifold learning to transform the feature set as a substitute of graph kernel of SVC
I just wonder since the manifold learning under scikit-learn has component of graph-based transformation (e.g. Shortest-path graph search under Isomap) I can then transform the feature data set (i.e. ...
0
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1answer
262 views
Difference between MDS and other manifold learning algorithms
From sklearn docs:
Note that the purpose of the MDS is to find a low-dimensional representation of the data (here 2D) in which the distances respect well the distances in the original high-...
4
votes
1answer
257 views
Can I apply Clustering algorithms to the result of Manifold Visualization Methods?
Some methods related to manifold-learning are commonly stated as good-for-visualization, such as T-SNE and self-organizing-maps (SOM).
I understand that when referring specifically to "visualization" ...
14
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1answer
3k views
Can closer points be considered more similar in T-SNE visualization?
I understand from Hinton's paper that T-SNE does a good job in keeping local similarities and a decent job in preserving global structure (clusterization).
However I'm not clear if points appearing ...
