<commit_before>
***************************
List of implemented kernels
***************************

The following table shows the implemented kernels in GPy and gives the details of the implemented function for each kernel.

====================  ===========  ======  ======= =========== =============== ======= =========== ====== ====== =======
NAME                  get/set      K       Kdiag   dK_dtheta   dKdiag_dtheta   dK_dX   dKdiag_dX   psi0   psi1   psi2
====================  ===========  ======  ======= =========== =============== ======= =========== ====== ====== =======
bias                  |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|      |tick| |tick| |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
Brownian              |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|                                                
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
exponential           |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
finite_dimensional    |tick|       |tick|  |tick|  |tick|      |tick| 
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
linear                |tick|       |tick|  |tick|  |tick|      |tick|          |tick|              |tick| |tick| |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
Matern32              |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|        
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
Matern52              |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
periodic_exponential  |tick|       |tick|  |tick|  |tick|      |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
periodic_Matern32     |tick|       |tick|  |tick|  |tick|      |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
periodic_Matern52     |tick|       |tick|  |tick|  |tick|      |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
rbf                   |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|      |tick| |tick| |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
spline                |tick|       |tick|  |tick|  |tick|      |tick|                  |tick|     
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
white                 |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|      |tick| |tick| |tick|
====================  ===========  ======  ======= =========== =============== ======= =========== ====== ====== =======

..  |tick| image:: Figures/tick.png<commit_msg> update in the documentation on kernel implementation<commit_after>
***************************
List of implemented kernels
***************************

The following table shows the implemented kernels in GPy and gives the details of the implemented function for each kernel.

====================  ===========  ======  ======= =========== =============== ======= =========== ====== ====== =======
NAME                  get/set      K       Kdiag   dK_dtheta   dKdiag_dtheta   dK_dX   dKdiag_dX   psi0   psi1   psi2
====================  ===========  ======  ======= =========== =============== ======= =========== ====== ====== =======
bias                  |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|      |tick| |tick| |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
Brownian              |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|                                                
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
exponential           |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
finite_dimensional    |tick|       |tick|  |tick|  |tick|      |tick| 
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
linear                |tick|       |tick|  |tick|  |tick|      |tick|          |tick|              |tick| |tick| |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
Matern32              |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|        
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
Matern52              |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
periodic_exponential  |tick|       |tick|  |tick|  |tick|      |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
periodic_Matern32     |tick|       |tick|  |tick|  |tick|      |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
periodic_Matern52     |tick|       |tick|  |tick|  |tick|      |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
rbf                   |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|      |tick| |tick| |tick|
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
spline                |tick|       |tick|  |tick|  |tick|      |tick|                  |tick|     
--------------------  -----------  ------  ------- ----------- --------------- ------- ----------- ------ ------ -------
white                 |tick|       |tick|  |tick|  |tick|      |tick|          |tick|  |tick|      |tick| |tick| |tick|
====================  ===========  ======  ======= =========== =============== ======= =========== ====== ====== =======

Depending on the use, all functions may not be required

    * ``get/set, K, Kdiag``: compulsory
    * ``dK_dtheta``: necessary to optimize the model
    * ``dKdiag_dtheta``: sparse models, BGPLVM, GPs with uncertain inputs
    * ``dK_dX``: sparse models, GPLVM, BGPLVM, GPs with uncertain inputs
    * ``dKdiag_dX``: sparse models, BGPLVM, GPs with uncertain inputs
    * ``psi0, psi1, psi2``: BGPLVM, GPs with uncertain inputs

..  |tick| image:: Figures/tick.png
{'fraction_non_alphanumeric': 0.5042849491162292, 'fraction_numerical': 0.0033476164970540974, 'mean_word_length': 0.6694233348234242, 'pattern_counts': {'":': 0, '<': 3, '<?xml version=': 0, '>': 3, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 4, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
{'dir': 'git-commits-cleaned', 'id': '4306230', 'n_tokens_mistral': 1917, 'n_tokens_neox': 1676, 'n_words': 349}