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The following appears to contradict what is said in Self-organizing map about topology preservation."A key difference between the GTM and the SOM is that the nodes in the SOM can wander around at will; GTM nodes are constrained by the allowable transformations and the probabilities on those transformations. If the deformations are well-behaved the topology of the latent space is preserved.."
I think that the comparison with SOM is a bit biased. Cited advantages are:
1-it explicitly formulates a density model over the data.
Does this really constitutes an advantage? Why?
2-it uses a cost function that quantifies how well the map is trained.
SOM also has its ways to quantify errors, namely the quantization error and the topographical error.
3-it uses a sound optimization procedure (EM algorithm).
This may be the main (or the only one?) advantage of GTM over SOM. ( EPleite ( talk) 20:13, 1 November 2010 (UTC))
(seconded - the strict density model may be an advantage in some situations, but an entire class of non-parametric models exists bc some situations are benefitted by a less constrained approach) — Preceding unsigned comment added by 198.233.238.206 ( talk) 15:38, 10 November 2015 (UTC)
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This article is rated Start-class on Wikipedia's
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The following appears to contradict what is said in Self-organizing map about topology preservation."A key difference between the GTM and the SOM is that the nodes in the SOM can wander around at will; GTM nodes are constrained by the allowable transformations and the probabilities on those transformations. If the deformations are well-behaved the topology of the latent space is preserved.."
I think that the comparison with SOM is a bit biased. Cited advantages are:
1-it explicitly formulates a density model over the data.
Does this really constitutes an advantage? Why?
2-it uses a cost function that quantifies how well the map is trained.
SOM also has its ways to quantify errors, namely the quantization error and the topographical error.
3-it uses a sound optimization procedure (EM algorithm).
This may be the main (or the only one?) advantage of GTM over SOM. ( EPleite ( talk) 20:13, 1 November 2010 (UTC))
(seconded - the strict density model may be an advantage in some situations, but an entire class of non-parametric models exists bc some situations are benefitted by a less constrained approach) — Preceding unsigned comment added by 198.233.238.206 ( talk) 15:38, 10 November 2015 (UTC)
Hello fellow Wikipedians,
I have just modified one external link on Generative topographic map. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
This message was posted before February 2018.
After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than
regular verification using the archive tool instructions below. Editors
have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
RfC before doing mass systematic removals. This message is updated dynamically through the template {{
source check}}
(last update: 5 June 2024).
Cheers.— InternetArchiveBot ( Report bug) 16:59, 12 October 2017 (UTC)