Questions tagged [manifold]
The manifold tag has no usage guidance.
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After using manifold, I get 2 dimensional data, then I can do cluster and label the data. But the question is that how can I reflect this label in raw
I use manifold to analyze image and want to do image segmentation. So my idea is to first use manifold to downsize the dimensions to 2D. In 2D, I can do cluster and label, but how can I put this label ...
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20 views
Low dimensional manifold in a high dimensional space and Geodesic distance
It is a common assumption that high-dimensional objects are lying in low-dimensional manifolds. And this constitutes a foundation for manifold learning or dimensional reduction techniques or (a way to ...
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8 views
State-of-the-art methods for out-of-sample-extension
I'm using a kernel based dimensionality reduction algorithms, and interested in extending out-of-sample data points for further analysis.
I've been using the Nystrom method for this task, and some ...
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23 views
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 ...
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1answer
34 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".
...
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175 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 ...
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30 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 ...
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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. ...
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323 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-...
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1answer
343 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" ...
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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 ...