apunkt/GPy
1
0
Fork 0
mirror of https://github.com/SheffieldML/GPy.git synced 2026-07-05 16:02:13 +02:00
Code Issues Projects Releases Packages Wiki Activity Actions

Fix invalid escape sequence

Browse source
This commit is contained in:
Jan Mayer 2024-10-21 20:15:11 +02:00
parent aa49220fd1
commit 4fa858ee6d
45 changed files with 224 additions and 224 deletions
Download patch file Download diff file Expand all files Collapse all files

10
GPy/likelihoods/exponential.py
View file

@ -14,7 +14,7 @@ class Exponential(Likelihood):
Y is expected to take values in {0,1,2,...}
-----
$$
L(x) = \exp(\lambda) * \lambda**Y_i / Y_i!
L(x) = \\exp(\\lambda) * \\lambda**Y_i / Y_i!
$$
"""
def __init__(self,gp_link=None):
@ -46,7 +46,7 @@ class Exponential(Likelihood):
Log Likelihood Function given link(f)
.. math::
\\ln p(y_{i}|\lambda(f_{i})) = \\ln \\lambda(f_{i}) - y_{i}\\lambda(f_{i})
\\ln p(y_{i}|\\lambda(f_{i})) = \\ln \\lambda(f_{i}) - y_{i}\\lambda(f_{i})
:param link_f: latent variables (link(f))
:type link_f: Nx1 array
@ -65,7 +65,7 @@ class Exponential(Likelihood):
Gradient of the log likelihood function at y, given link(f) w.r.t link(f)
.. math::
\\frac{d \\ln p(y_{i}|\lambda(f_{i}))}{d\\lambda(f)} = \\frac{1}{\\lambda(f)} - y_{i}
\\frac{d \\ln p(y_{i}|\\lambda(f_{i}))}{d\\lambda(f)} = \\frac{1}{\\lambda(f)} - y_{i}
:param link_f: latent variables (f)
:type link_f: Nx1 array
@ -87,7 +87,7 @@ class Exponential(Likelihood):
The hessian will be 0 unless i == j
.. math::
\\frac{d^{2} \\ln p(y_{i}|\lambda(f_{i}))}{d^{2}\\lambda(f)} = -\\frac{1}{\\lambda(f_{i})^{2}}
\\frac{d^{2} \\ln p(y_{i}|\\lambda(f_{i}))}{d^{2}\\lambda(f)} = -\\frac{1}{\\lambda(f_{i})^{2}}
:param link_f: latent variables link(f)
:type link_f: Nx1 array
@ -110,7 +110,7 @@ class Exponential(Likelihood):
Third order derivative log-likelihood function at y given link(f) w.r.t link(f)
.. math::
\\frac{d^{3} \\ln p(y_{i}|\lambda(f_{i}))}{d^{3}\\lambda(f)} = \\frac{2}{\\lambda(f_{i})^{3}}
\\frac{d^{3} \\ln p(y_{i}|\\lambda(f_{i}))}{d^{3}\\lambda(f)} = \\frac{2}{\\lambda(f_{i})^{3}}
:param link_f: latent variables link(f)
:type link_f: Nx1 array