From 400a4880c6c88fff76632171835c32930a2e50a8 Mon Sep 17 00:00:00 2001
From: Joan Gonzalvez <44616000+jopago@users.noreply.github.com>
Date: Sun, 13 Jan 2019 20:11:11 +0100
Subject: [PATCH 1/2] Update brownian.py

added to_dict method
---
 GPy/kern/src/brownian.py | 11 +++++++++++
 1 file changed, 11 insertions(+)

diff --git a/GPy/kern/src/brownian.py b/GPy/kern/src/brownian.py
index 68da4435..88f3af8a 100644
--- a/GPy/kern/src/brownian.py
+++ b/GPy/kern/src/brownian.py
@@ -23,6 +23,17 @@ class Brownian(Kern):
 
         self.variance = Param('variance', variance, Logexp())
         self.link_parameters(self.variance)
+        
+    def to_dict(self):
+        """
+        Convert the object into a json serializable dictionary.
+        Note: It uses the private method _save_to_input_dict of the parent.
+        :return dict: json serializable dictionary containing the needed information to instantiate the object
+        """
+
+        input_dict = super(RBF, self)._save_to_input_dict()
+        input_dict["class"] = "GPy.kern.Brownian"
+        return input_dict
 
     def K(self,X,X2=None):
         if X2 is None:

From b41b0df9a04e4d9328eaae86be666ae7a491231a Mon Sep 17 00:00:00 2001
From: Joan Gonzalvez <44616000+jopago@users.noreply.github.com>
Date: Sun, 13 Jan 2019 20:16:32 +0100
Subject: [PATCH 2/2] Update static.py

---
 GPy/kern/src/static.py | 9 +++++++++
 1 file changed, 9 insertions(+)

diff --git a/GPy/kern/src/static.py b/GPy/kern/src/static.py
index a4831107..e0251337 100644
--- a/GPy/kern/src/static.py
+++ b/GPy/kern/src/static.py
@@ -64,6 +64,11 @@ class White(Static):
     def __init__(self, input_dim, variance=1., active_dims=None, name='white'):
         super(White, self).__init__(input_dim, variance, active_dims, name)
 
+    def to_dict(self):
+        input_dict = super(White, self)._save_to_input_dict()
+        input_dict["class"] = "GPy.kern.White"
+        return input_dict
+    
     def K(self, X, X2=None):
         if X2 is None:
             return np.eye(X.shape[0])*self.variance
@@ -102,6 +107,10 @@ class WhiteHeteroscedastic(Static):
         super(Static, self).__init__(input_dim, active_dims, name)
         self.variance = Param('variance', np.ones(num_data) * variance, Logexp())
         self.link_parameters(self.variance)
+    def to_dict(self):
+        input_dict = super(WhiteHeteroscedastic, self)._save_to_input_dict()
+        input_dict["class"] = "GPy.kern.WhiteHeteroscedastic"
+        return input_dict
 
     def Kdiag(self, X):
         if X.shape[0] == self.variance.shape[0]: