Add cauchy kernel cookbook #4338
Conversation
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Thanks for this! As said a few times before, let's not have more kernel cookbooks (after this one) as we already have tons of them. Rather, we should have cookbooks for algorithms that haven't been described yet |
| Cauchy Kernel | ||
| ============= | ||
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| The cauchy kernel is derived from the Cauchy distribution :cite:`basak2008kernel`. It is a long-tailed kernel defined as |
karlnapf
Jun 19, 2018
Member
Minor: pls start new sentences in a new line
Minor: pls start new sentences in a new line
| The cauchy kernel is derived from the Cauchy distribution :cite:`basak2008kernel`. It is a long-tailed kernel defined as | ||
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| .. math:: | ||
| K(x,x') = \frac{1}{1+\frac{\| x-x' \|^2}{\sigma}} |
karlnapf
Jun 19, 2018
Member
I would prefer a lowercase k, unless K is used elsewhere
I would prefer a lowercase k, unless K is used elsewhere
| @@ -96,6 +96,16 @@ Distance | |||
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| examples/distance/** | |||
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| Kernel | |||
karlnapf
Jun 19, 2018
Member
oh wait, we didnt have kernels yet? ;)
Ok then this is quite good to have :)
oh wait, we didnt have kernels yet? ;)
Ok then this is quite good to have :)
| @@ -163,3 +163,10 @@ @article{hyvarinen2000independent | |||
| pages={411--430}, | |||
| year={2000} | |||
| } | |||
| @inproceedings{basak2008kernel | |||
| author={J. Basak}, | |||
| booktitle={2008 19th International Conference on Pattern Recognition}, | |||
karlnapf
Jun 19, 2018
Member
is this really the best reference? where do you have it from? can't we use some of the references we already used (like the kernel book by schölkopf?)
is this really the best reference? where do you have it from? can't we use some of the references we already used (like the kernel book by schölkopf?)
vinx13
Jun 19, 2018
Author
Member
i found several links point to this paper, e.g https://github.com/gmum/pykernels/blob/c8afdc79a15197ad3be2a0db0118f5e948577f49/pykernels/regular.py#L132
and I've checked that paper, the author gave a definition of it in sec.3
i found several links point to this paper, e.g https://github.com/gmum/pykernels/blob/c8afdc79a15197ad3be2a0db0118f5e948577f49/pykernels/regular.py#L132
and I've checked that paper, the author gave a definition of it in sec.3
karlnapf
Jun 20, 2018
Member
ok cool. When citing it, put [Section 3] in there (if possible)
ok cool. When citing it, put [Section 3] in there (if possible)
| booktitle={2008 19th International Conference on Pattern Recognition}, | ||
| title={A least square kernel machine with box constraints}, | ||
| year={2008}, | ||
| pages={1-4}, |
karlnapf
Jun 19, 2018
Member
pls do proper references. These pages here are definitely not correct
pls do proper references. These pages here are definitely not correct
vinx13
Jun 19, 2018
Author
Member
ICPR papers are not re-assigned a page number when they are published. This is based on the reference format provided in https://ieeexplore.ieee.org/document/4761717
ICPR papers are not re-assigned a page number when they are published. This is based on the reference format provided in https://ieeexplore.ieee.org/document/4761717
karlnapf
Jun 20, 2018
Member
I see, maybe we can remove them then?
I see, maybe we can remove them then?
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| We create an instance of :sgclass:`CCauchyKernel`. | ||
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| .. sgexample:: cauchy:create_kernel |
karlnapf
Jun 19, 2018
Member
Could you talk about the fact that a distance is used for this kernel?
Could you talk about the fact that a distance is used for this kernel?
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ok from my side |
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I restarted windows since it was failing |
| @@ -167,6 +167,5 @@ @inproceedings{basak2008kernel | |||
| author={J. Basak}, | |||
| booktitle={2008 19th International Conference on Pattern Recognition}, | |||
| title={A least square kernel machine with box constraints}, | |||
| year={2008}, | |||
| pages={1-4}, | |||
| year={2008} | |||
karlnapf
Jun 20, 2018
Member
cool thx!
Did you render this locally (the html output) and check that it all works ?
cool thx!
Did you render this locally (the html output) and check that it all works ?
vinx13
Jun 20, 2018
Author
Member
Yes it works
Yes it works
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Alright, great! thanks! |
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