Talk:Kernel trick

message: This article is nice, and has some good mathematical background that the Kernel methods article is missing ... but the two articles seem to be discussing the same concept.  I think we should merge them.  What do others think?  We can make a redirect so both names still work for links and searches.  (User talk:riedl July 3 2009).  —Preceding undated comment added 21:12, 3 July 2009 (UTC)
replies: text: I am not sure if this should happen; but we need to make sure that either the article keeps the title "kernel trick" or resolves that link correctly as that is a very common name in the literature. Doctorambient (talk) 18:44, 26 March 2013 (UTC)
thread_title: Merge with Kernel Method

message: I think the link to Kernel_statistics is really misleading, since its about Kernels used in non-parametric density estimation (window estimators). This is something completely different!  —Preceding unsigned comment added by 82.130.82.137 (talk) 17:05, 10 February 2009 (UTC)
thread_title: Link Kernel

message: I am going to delete the document linked as part of the external resources. My reasons are :
1)the document lacks any scholarly format (there are even question marks as to the uncertainty of certain details - for example, in the second paragraph, the author is unsure of who is responsible for a contribution).
2) The language used in the document is too informal.
3) The author introduces many concepts without a clear background or explanation that is necessary to understand them. 
I, on the whole believe that, someone who does link to this document and gives it a read will be left with no clear idea of how the kernel trick works. 
If you think otherwise, please undo my edit and write a short note on my talk page as to why this document should continue to be linked. 
Grokmenow 11:22, 18 October 2007 (UTC)
thread_title:  PDF linked in external resources 

message: Please put the new link in an external link section. CSTAR 12:42, 19 Aug 2004 (UTC)
thread_title:  External link 

message: This sounds wrong:
:by mapping the original observations into a higher-dimensional non-linear space so that linear classification in the new space is equivalent to non-linear classification in the original space.
Should it say this:
:by mapping the original observations into a higher-dimensional linear space so that linear classification in the new space is equivalent to non-linear classification in the original space.
or is it correct as is?
— BenFrantzDale
Yes, I believe you are correct.  Alternatively we could just remove the word non-linear altogether:
:by mapping the original observations into a higher-dimensional space so that linear classification in the new space is equivalent to non-linear classification in the original space.
Kenahoo 18:41, 15 September 2006 (UTC)
thread_title:  Intro typo? 

message: This usage sounds so awkward and meaningless in English that I wonder if it actually came from a Japanese mathematician trying to deal with the Japanese word コツ (kotsu). That's actually a rather broad term, but could have been used in the sense of "knack" or "technique", and this is a word coinage method that could be used in Japanese. I feel that an English speaker (following English word creation rules) would naturally try to coin a term based on some meaningful adjective. From the article, I'd have guessed "kernel linearizing technique" or perhaps an acronym. Failing that, a linkage to the name of the creator...
Shanen (talk) 04:08, 25 December 2008 (UTC)
replies: text: About 4,300, actually:  -- Borb (talk) 00:53, 5 December 2009 (UTC)
thread_title:  Origin of "kernel trick" possibly from Japanese? 

message: I believe there should be a mention of Multi dimension scaling in this article because of the "kernel trick" is basically a form of MDS.  Perhaps a mention of the similarity should be mentioned in the introduction of the article and a link to the MDS page should be added at the end of the article.  —Preceding unsigned comment added by 156.56.92.123 (talk) 19:08, 24 February 2008 (UTC)
thread_title:  MDS 

message: Shouldn't examples of kernel functions be added to the article? The article says how they are defined to be inner products in other spaces but does not cite any example - not even the linear Kernel example. A quick search on google reveals this page which seems to have a lot of functions: Kernel Functions for Machine Learning Applications though as the author says, he can't guarantee the correctness of all functions - but most of them seems to be linked to their original sources. Perhaps this could be added as an external link?
:I just added the article polynomial kernel. Feel free to add other kernels, either here or in a separate article. Qwertyus (talk) 15:33, 12 November 2012 (UTC)
thread_title:  Examples of Kernel functions? 

message: I second the call for one or more examples, ideally illustrating unseparable problems becoming separable. Perhaps a simple example plus a second one where the computation of \varphi() is complex and avoidable by the kernel trick. This would improve both clarity and motivation. The article as it currently stands is quite abstract and not quickly understandable. RVS (talk) 23:37, 8 December 2010 (UTC)
thread_title:  Examples, etc 

message: Some more transition sentences are needed and possibly more sections. Details from other articles like positive semi-definite, linear algebra kernel, and Mercer's theorem are mixed in without due lead-in.
It seems like this was pasted in bits from a more thorough paper or something.
Crasshopper (talk) 21:27, 28 January 2011 (UTC)
thread_title:  language flow 

message: Te definition in the second paragraph is incomplete and confusing.  I tried to fix it, but may have rendered it incorrect, as I have no reference.  This article needs a definition.  Everything else is superfluous.  What is a kernel function?  How is it different from a kernel in linear algebra?  This article doesn't tell you.  Fail. Fyedernoggersnodden (talk) 06:31, 19 March 2011 (UTC)
thread_title:  K remains undefined.