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brendan
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updating tests and examples for recent changes
1 parent 20b46ab commit 2791262

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6 files changed

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-113
lines changed

6 files changed

+105
-113
lines changed

bayes_opt/bayesian_optimization.py

Lines changed: 3 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -246,7 +246,7 @@ def _prime_subscriptions(self):
246246
def maximize(self,
247247
init_points=5,
248248
n_iter=25,
249-
utility_function=None):
249+
acquisition_function=None):
250250

251251
"""
252252
Probes the target space to find the parameters that yield the maximum
@@ -288,14 +288,14 @@ def maximize(self,
288288
self.dispatch(Events.OPTIMIZATION_START)
289289
self._prime_queue(init_points)
290290

291-
if utility_function is None:
291+
if acquisition_function is None:
292292
util = UtilityFunction(kind='ucb',
293293
kappa=2.576,
294294
xi=0.0,
295295
kappa_decay=1,
296296
kappa_decay_delay=0)
297297
else:
298-
util = utility_function
298+
util = acquisition_function
299299

300300
iteration = 0
301301
while not self._queue.empty or iteration < n_iter:

bayes_opt/util.py

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -98,7 +98,7 @@ class UtilityFunction(object):
9898
An object to compute the acquisition functions.
9999
"""
100100

101-
def __init__(self, kind, kappa, xi, kappa_decay=1, kappa_decay_delay=0):
101+
def __init__(self, kind='ucb', kappa=2.576, xi=0, kappa_decay=1, kappa_decay_delay=0):
102102

103103
self.kappa = kappa
104104
self._kappa_decay = kappa_decay

examples/advanced-tour.ipynb

Lines changed: 55 additions & 72 deletions
Original file line numberDiff line numberDiff line change
@@ -95,7 +95,7 @@
9595
"name": "stdout",
9696
"output_type": "stream",
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"text": [
98-
"Next point to probe is: {'y': 1.3219469606529488, 'x': -0.331911981189704}\n"
98+
"Next point to probe is: {'x': -0.331911981189704, 'y': 1.3219469606529488}\n"
9999
]
100100
}
101101
],
@@ -166,12 +166,12 @@
166166
"name": "stdout",
167167
"output_type": "stream",
168168
"text": [
169-
"-19.0 {'y': -3.0, 'x': 2.0}\n",
170-
"-12.194801029414048 {'y': -2.412527795983739, 'x': -1.2447710918286998}\n",
171-
"0.6381713808008993 {'y': 1.4965397889559267, 'x': -0.3395244574146384}\n",
172-
"0.5052897389362041 {'y': 1.2837707069731576, 'x': -0.6435716330974743}\n",
173-
"0.9493808230928116 {'y': 1.2241444765020055, 'x': -0.019453291773639306}\n",
174-
"{'target': 0.9493808230928116, 'params': {'y': 1.2241444765020055, 'x': -0.019453291773639306}}\n"
169+
"-18.49187152919165 {'x': 1.8861546000771092, 'y': -2.9917780942581977}\n",
170+
"0.7911494590443674 {'x': -0.31764604716962586, 'y': 1.3285597809731806}\n",
171+
"-6.999999999999999 {'x': -1.9999999999999998, 'y': 3.0}\n",
172+
"-7.0 {'x': 2.0, 'y': 3.0}\n",
173+
"-7.503866814436659 {'x': -2.0, 'y': -1.1222315647536345}\n",
174+
"{'target': 0.7911494590443674, 'params': {'x': -0.31764604716962586, 'y': 1.3285597809731806}}\n"
175175
]
176176
}
177177
],
@@ -198,7 +198,7 @@
198198
},
199199
{
200200
"cell_type": "code",
201-
"execution_count": 8,
201+
"execution_count": 9,
202202
"metadata": {},
203203
"outputs": [],
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"source": [
@@ -211,7 +211,7 @@
211211
},
212212
{
213213
"cell_type": "code",
214-
"execution_count": 9,
214+
"execution_count": 10,
215215
"metadata": {},
216216
"outputs": [],
217217
"source": [
@@ -222,7 +222,7 @@
222222
},
223223
{
224224
"cell_type": "code",
225-
"execution_count": 10,
225+
"execution_count": 11,
226226
"metadata": {},
227227
"outputs": [],
228228
"source": [
@@ -236,7 +236,7 @@
236236
},
237237
{
238238
"cell_type": "code",
239-
"execution_count": 11,
239+
"execution_count": 12,
240240
"metadata": {},
241241
"outputs": [
242242
{
@@ -245,42 +245,43 @@
245245
"text": [
246246
"| iter | target | w | x | y |\n",
247247
"-------------------------------------------------------------\n",
248-
"| \u001b[0m 1 \u001b[0m | \u001b[0m-0.06199 \u001b[0m | \u001b[0m 2.085 \u001b[0m | \u001b[0m 4.406 \u001b[0m | \u001b[0m-9.998 \u001b[0m |\n",
249-
"| \u001b[95m 2 \u001b[0m | \u001b[95m-0.0344 \u001b[0m | \u001b[95m 1.512 \u001b[0m | \u001b[95m-7.065 \u001b[0m | \u001b[95m-8.153 \u001b[0m |\n",
250-
"| \u001b[0m 3 \u001b[0m | \u001b[0m-0.2177 \u001b[0m | \u001b[0m 0.9313 \u001b[0m | \u001b[0m-3.089 \u001b[0m | \u001b[0m-2.065 \u001b[0m |\n",
251-
"| \u001b[95m 4 \u001b[0m | \u001b[95m 0.1865 \u001b[0m | \u001b[95m 2.694 \u001b[0m | \u001b[95m-1.616 \u001b[0m | \u001b[95m 3.704 \u001b[0m |\n",
252-
"| \u001b[0m 5 \u001b[0m | \u001b[0m-0.2187 \u001b[0m | \u001b[0m 1.022 \u001b[0m | \u001b[0m 7.562 \u001b[0m | \u001b[0m-9.452 \u001b[0m |\n",
253-
"| \u001b[0m 6 \u001b[0m | \u001b[0m 0.009975\u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
254-
"| \u001b[0m 7 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
255-
"| \u001b[0m 8 \u001b[0m | \u001b[0m 0.09003 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 0.4916 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
256-
"| \u001b[0m 9 \u001b[0m | \u001b[0m-0.007481\u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m |\n",
257-
"| \u001b[0m 10 \u001b[0m | \u001b[0m 0.01989 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-0.02203 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
258-
"| \u001b[0m 11 \u001b[0m | \u001b[0m 0.0189 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m | \u001b[0m 0.238 \u001b[0m |\n",
259-
"| \u001b[0m 12 \u001b[0m | \u001b[0m-0.2149 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m | \u001b[0m 5.282 \u001b[0m |\n",
260-
"| \u001b[0m 13 \u001b[0m | \u001b[0m 0.05995 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m | \u001b[0m 5.786 \u001b[0m |\n",
261-
"| \u001b[0m 14 \u001b[0m | \u001b[0m-0.01299 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-2.367 \u001b[0m | \u001b[0m-10.0 \u001b[0m |\n",
262-
"| \u001b[0m 15 \u001b[0m | \u001b[0m 0.03637 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m 3.773 \u001b[0m | \u001b[0m 3.575 \u001b[0m |\n",
263-
"| \u001b[0m 16 \u001b[0m | \u001b[0m-0.01214 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m | \u001b[0m 0.9779 \u001b[0m |\n",
264-
"| \u001b[0m 17 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m |\n",
265-
"| \u001b[0m 18 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-4.58 \u001b[0m | \u001b[0m 5.518 \u001b[0m |\n",
266-
"| \u001b[0m 19 \u001b[0m | \u001b[0m-0.04988 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m |\n",
267-
"| \u001b[0m 20 \u001b[0m | \u001b[0m 0.1246 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 2.311 \u001b[0m | \u001b[0m 5.116 \u001b[0m |\n",
268-
"| \u001b[0m 21 \u001b[0m | \u001b[0m 0.04988 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
269-
"| \u001b[0m 22 \u001b[0m | \u001b[0m 0.04567 \u001b[0m | \u001b[0m 2.029 \u001b[0m | \u001b[0m 0.1434 \u001b[0m | \u001b[0m 6.398 \u001b[0m |\n",
270-
"| \u001b[0m 23 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m 4.685 \u001b[0m | \u001b[0m-4.937 \u001b[0m |\n",
271-
"| \u001b[0m 24 \u001b[0m | \u001b[0m 0.06466 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 5.198 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
272-
"| \u001b[95m 25 \u001b[0m | \u001b[95m 0.3751 \u001b[0m | \u001b[95m 5.0 \u001b[0m | \u001b[95m-0.6795 \u001b[0m | \u001b[95m 1.97 \u001b[0m |\n",
273-
"| \u001b[0m 26 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 5.0 \u001b[0m | \u001b[0m-2.001 \u001b[0m | \u001b[0m-0.5515 \u001b[0m |\n",
274-
"| \u001b[0m 27 \u001b[0m | \u001b[0m 0.1072 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m | \u001b[0m-1.419 \u001b[0m |\n",
275-
"| \u001b[0m 28 \u001b[0m | \u001b[0m-0.08895 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m-2.048 \u001b[0m | \u001b[0m-10.0 \u001b[0m |\n",
276-
"| \u001b[0m 29 \u001b[0m | \u001b[0m 0.1907 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m 3.994 \u001b[0m | \u001b[0m-0.1557 \u001b[0m |\n",
277-
"| \u001b[0m 30 \u001b[0m | \u001b[0m-0.0 \u001b[0m | \u001b[0m 0.0 \u001b[0m | \u001b[0m-10.0 \u001b[0m | \u001b[0m 10.0 \u001b[0m |\n",
248+
"| \u001b[0m1 \u001b[0m | \u001b[0m-0.06199 \u001b[0m | \u001b[0m2.085 \u001b[0m | \u001b[0m4.406 \u001b[0m | \u001b[0m-9.998 \u001b[0m |\n",
249+
"| \u001b[95m2 \u001b[0m | \u001b[95m-0.0344 \u001b[0m | \u001b[95m1.512 \u001b[0m | \u001b[95m-7.065 \u001b[0m | \u001b[95m-8.153 \u001b[0m |\n",
250+
"| \u001b[0m3 \u001b[0m | \u001b[0m-0.2177 \u001b[0m | \u001b[0m0.9313 \u001b[0m | \u001b[0m-3.089 \u001b[0m | \u001b[0m-2.065 \u001b[0m |\n",
251+
"| \u001b[95m4 \u001b[0m | \u001b[95m0.1865 \u001b[0m | \u001b[95m2.694 \u001b[0m | \u001b[95m-1.616 \u001b[0m | \u001b[95m3.704 \u001b[0m |\n",
252+
"| \u001b[0m5 \u001b[0m | \u001b[0m-0.2187 \u001b[0m | \u001b[0m1.022 \u001b[0m | \u001b[0m7.562 \u001b[0m | \u001b[0m-9.452 \u001b[0m |\n",
253+
"| \u001b[95m6 \u001b[0m | \u001b[95m0.1868 \u001b[0m | \u001b[95m2.533 \u001b[0m | \u001b[95m-1.728 \u001b[0m | \u001b[95m3.815 \u001b[0m |\n",
254+
"| \u001b[0m7 \u001b[0m | \u001b[0m0.05119 \u001b[0m | \u001b[0m3.957 \u001b[0m | \u001b[0m-0.6151 \u001b[0m | \u001b[0m6.785 \u001b[0m |\n",
255+
"| \u001b[0m8 \u001b[0m | \u001b[0m0.1761 \u001b[0m | \u001b[0m0.5799 \u001b[0m | \u001b[0m1.181 \u001b[0m | \u001b[0m4.054 \u001b[0m |\n",
256+
"| \u001b[0m9 \u001b[0m | \u001b[0m0.04045 \u001b[0m | \u001b[0m4.004 \u001b[0m | \u001b[0m4.304 \u001b[0m | \u001b[0m2.656 \u001b[0m |\n",
257+
"| \u001b[0m10 \u001b[0m | \u001b[0m0.07509 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m4.843 \u001b[0m | \u001b[0m7.759 \u001b[0m |\n",
258+
"| \u001b[95m11 \u001b[0m | \u001b[95m0.3512 \u001b[0m | \u001b[95m0.0 \u001b[0m | \u001b[95m-5.713 \u001b[0m | \u001b[95m7.072 \u001b[0m |\n",
259+
"| \u001b[0m12 \u001b[0m | \u001b[0m-0.8068 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m-9.09 \u001b[0m | \u001b[0m8.6 \u001b[0m |\n",
260+
"| \u001b[95m13 \u001b[0m | \u001b[95m0.3774 \u001b[0m | \u001b[95m0.3974 \u001b[0m | \u001b[95m-4.19 \u001b[0m | \u001b[95m6.264 \u001b[0m |\n",
261+
"| \u001b[0m14 \u001b[0m | \u001b[0m0.157 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m-3.587 \u001b[0m | \u001b[0m8.534 \u001b[0m |\n",
262+
"| \u001b[0m15 \u001b[0m | \u001b[0m-0.7891 \u001b[0m | \u001b[0m0.4794 \u001b[0m | \u001b[0m-5.536 \u001b[0m | \u001b[0m4.298 \u001b[0m |\n",
263+
"| \u001b[0m16 \u001b[0m | \u001b[0m0.1176 \u001b[0m | \u001b[0m1.038 \u001b[0m | \u001b[0m-4.671 \u001b[0m | \u001b[0m7.41 \u001b[0m |\n",
264+
"| \u001b[0m17 \u001b[0m | \u001b[0m0.1815 \u001b[0m | \u001b[0m0.4815 \u001b[0m | \u001b[0m-2.66 \u001b[0m | \u001b[0m6.6 \u001b[0m |\n",
265+
"| \u001b[0m18 \u001b[0m | \u001b[0m0.08677 \u001b[0m | \u001b[0m1.933 \u001b[0m | \u001b[0m-0.1438 \u001b[0m | \u001b[0m4.839 \u001b[0m |\n",
266+
"| \u001b[0m19 \u001b[0m | \u001b[0m0.1687 \u001b[0m | \u001b[0m1.139 \u001b[0m | \u001b[0m-0.4707 \u001b[0m | \u001b[0m2.69 \u001b[0m |\n",
267+
"| \u001b[0m20 \u001b[0m | \u001b[0m0.1133 \u001b[0m | \u001b[0m2.363 \u001b[0m | \u001b[0m1.344 \u001b[0m | \u001b[0m2.736 \u001b[0m |\n",
268+
"| \u001b[0m21 \u001b[0m | \u001b[0m0.2401 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m1.441 \u001b[0m | \u001b[0m1.949 \u001b[0m |\n",
269+
"| \u001b[0m22 \u001b[0m | \u001b[0m0.1568 \u001b[0m | \u001b[0m0.1832 \u001b[0m | \u001b[0m3.2 \u001b[0m | \u001b[0m2.904 \u001b[0m |\n",
270+
"| \u001b[0m23 \u001b[0m | \u001b[0m0.2722 \u001b[0m | \u001b[0m0.9731 \u001b[0m | \u001b[0m2.625 \u001b[0m | \u001b[0m0.5406 \u001b[0m |\n",
271+
"| \u001b[0m24 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m1.149 \u001b[0m | \u001b[0m0.7191 \u001b[0m | \u001b[0m0.2267 \u001b[0m |\n",
272+
"| \u001b[0m25 \u001b[0m | \u001b[0m0.1686 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m4.181 \u001b[0m | \u001b[0m0.5867 \u001b[0m |\n",
273+
"| \u001b[0m26 \u001b[0m | \u001b[0m0.0644 \u001b[0m | \u001b[0m2.276 \u001b[0m | \u001b[0m3.975 \u001b[0m | \u001b[0m-0.1631 \u001b[0m |\n",
274+
"| \u001b[95m27 \u001b[0m | \u001b[95m0.4397 \u001b[0m | \u001b[95m0.08737 \u001b[0m | \u001b[95m2.66 \u001b[0m | \u001b[95m-1.531 \u001b[0m |\n",
275+
"| \u001b[0m28 \u001b[0m | \u001b[0m0.2904 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m3.913 \u001b[0m | \u001b[0m-2.35 \u001b[0m |\n",
276+
"| \u001b[0m29 \u001b[0m | \u001b[0m-0.9874 \u001b[0m | \u001b[0m0.0 \u001b[0m | \u001b[0m1.992 \u001b[0m | \u001b[0m-3.005 \u001b[0m |\n",
277+
"| \u001b[0m30 \u001b[0m | \u001b[0m0.3001 \u001b[0m | \u001b[0m0.2116 \u001b[0m | \u001b[0m3.375 \u001b[0m | \u001b[0m-0.9955 \u001b[0m |\n",
278278
"=============================================================\n"
279279
]
280280
}
281281
],
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"source": [
283-
"optimizer.maximize(alpha=1e-3)"
283+
"optimizer.set_gp_params(alpha=1e-3)\n",
284+
"optimizer.maximize()"
284285
]
285286
},
286287
{
@@ -298,12 +299,12 @@
298299
"source": [
299300
"### 3.1 Passing parameter to the GP\n",
300301
"\n",
301-
"Depending on the problem it could be beneficial to change the default parameters of the underlying GP. You can simply pass GP parameters to the maximize method directly as you can see below:"
302+
"Depending on the problem it could be beneficial to change the default parameters of the underlying GP. You can use the `optimizer.set_gp_params` method to do this:"
302303
]
303304
},
304305
{
305306
"cell_type": "code",
306-
"execution_count": 12,
307+
"execution_count": 13,
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"metadata": {},
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"outputs": [
309310
{
@@ -312,12 +313,12 @@
312313
"text": [
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"| iter | target | x | y |\n",
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"-------------------------------------------------\n",
315-
"| \u001b[0m 1 \u001b[0m | \u001b[0m 0.7862 \u001b[0m | \u001b[0m-0.3319 \u001b[0m | \u001b[0m 1.322 \u001b[0m |\n",
316-
"| \u001b[0m 2 \u001b[0m | \u001b[0m-18.96 \u001b[0m | \u001b[0m 1.993 \u001b[0m | \u001b[0m-2.998 \u001b[0m |\n",
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"| \u001b[0m 3 \u001b[0m | \u001b[0m 0.7858 \u001b[0m | \u001b[0m-0.3333 \u001b[0m | \u001b[0m 1.321 \u001b[0m |\n",
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"| \u001b[0m 4 \u001b[0m | \u001b[0m 0.5787 \u001b[0m | \u001b[0m-0.429 \u001b[0m | \u001b[0m 1.487 \u001b[0m |\n",
319-
"| \u001b[0m 5 \u001b[0m | \u001b[0m 0.7798 \u001b[0m | \u001b[0m 0.02543 \u001b[0m | \u001b[0m 1.469 \u001b[0m |\n",
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"| \u001b[95m 6 \u001b[0m | \u001b[95m 0.9779 \u001b[0m | \u001b[95m 0.1301 \u001b[0m | \u001b[95m 0.9282 \u001b[0m |\n",
316+
"| \u001b[0m1 \u001b[0m | \u001b[0m0.7862 \u001b[0m | \u001b[0m-0.3319 \u001b[0m | \u001b[0m1.322 \u001b[0m |\n",
317+
"| \u001b[0m2 \u001b[0m | \u001b[0m-18.49 \u001b[0m | \u001b[0m1.886 \u001b[0m | \u001b[0m-2.992 \u001b[0m |\n",
318+
"| \u001b[95m3 \u001b[0m | \u001b[95m0.7911 \u001b[0m | \u001b[95m-0.3176 \u001b[0m | \u001b[95m1.329 \u001b[0m |\n",
319+
"| \u001b[0m4 \u001b[0m | \u001b[0m-6.11 \u001b[0m | \u001b[0m-1.763 \u001b[0m | \u001b[0m3.0 \u001b[0m |\n",
320+
"| \u001b[0m5 \u001b[0m | \u001b[0m-2.895 \u001b[0m | \u001b[0m1.533 \u001b[0m | \u001b[0m2.243 \u001b[0m |\n",
321+
"| \u001b[0m6 \u001b[0m | \u001b[0m-4.806 \u001b[0m | \u001b[0m-2.0 \u001b[0m | \u001b[0m-0.3439 \u001b[0m |\n",
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"=================================================\n"
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]
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}
@@ -329,31 +330,13 @@
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" verbose=2,\n",
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" random_state=1,\n",
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")\n",
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"optimizer.set_gp_params(alpha=1e-3, n_restarts_optimizer=5)\n",
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"optimizer.maximize(\n",
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" init_points=1,\n",
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" n_iter=5,\n",
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" # What follows are GP regressor parameters\n",
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" alpha=1e-3,\n",
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" n_restarts_optimizer=5\n",
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" n_iter=5\n",
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")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Another alternative, specially useful if you're calling `maximize` multiple times or optimizing outside the `maximize` loop, is to call the `set_gp_params` method."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {},
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"outputs": [],
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"source": [
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"optimizer.set_gp_params(normalize_y=True)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
@@ -506,7 +489,7 @@
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
@@ -520,7 +503,7 @@
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.5.2"
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"version": "3.9.5"
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}
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},
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"nbformat": 4,

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