VOCS data structure¶
Variables, Objectives, Constraints, and other Settings (VOCS) helps define our optimization problems.
In [1]:
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from xopt.vocs import VOCS
from xopt.vocs import (
get_objective_data,
random_inputs,
get_constraint_data,
get_feasibility_data,
normalize_inputs,
denormalize_inputs,
)
from gest_api.vocs import MaximizeObjective
import pandas as pd
import numpy as np
import yaml
from xopt.vocs import VOCS
from xopt.vocs import (
get_objective_data,
random_inputs,
get_constraint_data,
get_feasibility_data,
normalize_inputs,
denormalize_inputs,
)
from gest_api.vocs import MaximizeObjective
import pandas as pd
import numpy as np
import yaml
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Y = """
variables:
a: [0, 1e3] # Note that 1e3 usually parses as a str with YAML.
b: [-1, 1]
objectives:
c: maximize
d: minimize
constraints:
e: ['Less_than', 2]
f: ['greater_than', 0]
constants:
g: 123
"""
vocs = VOCS(**yaml.safe_load(Y))
vocs
Y = """
variables:
a: [0, 1e3] # Note that 1e3 usually parses as a str with YAML.
b: [-1, 1]
objectives:
c: maximize
d: minimize
constraints:
e: ['Less_than', 2]
f: ['greater_than', 0]
constants:
g: 123
"""
vocs = VOCS(**yaml.safe_load(Y))
vocs
Out[2]:
VOCS(variables={'a': ContinuousVariable(dtype=None, default_value=None, domain=[0.0, 1000.0]), 'b': ContinuousVariable(dtype=None, default_value=None, domain=[-1.0, 1.0])}, objectives={'c': MaximizeObjective(dtype=None), 'd': MinimizeObjective(dtype=None)}, constraints={'e': LessThanConstraint(dtype=None, value=2.0), 'f': GreaterThanConstraint(dtype=None, value=0.0)}, constants={'g': Constant(dtype=None, value=123)}, observables={})
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# as dict
dict(vocs)
# as dict
dict(vocs)
Out[3]:
{'variables': {'a': ContinuousVariable(dtype=None, default_value=None, domain=[0.0, 1000.0]),
'b': ContinuousVariable(dtype=None, default_value=None, domain=[-1.0, 1.0])},
'objectives': {'c': MaximizeObjective(dtype=None),
'd': MinimizeObjective(dtype=None)},
'constraints': {'e': LessThanConstraint(dtype=None, value=2.0),
'f': GreaterThanConstraint(dtype=None, value=0.0)},
'constants': {'g': Constant(dtype=None, value=123)},
'observables': {}}
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# re-parse dict
vocs2 = VOCS(**dict(vocs))
# re-parse dict
vocs2 = VOCS(**dict(vocs))
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# Check that these are the same
vocs2 == vocs
# Check that these are the same
vocs2 == vocs
Out[5]:
True
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# This replaces the old vocs["variables"]
getattr(vocs, "variables")
# This replaces the old vocs["variables"]
getattr(vocs, "variables")
Out[6]:
{'a': ContinuousVariable(dtype=None, default_value=None, domain=[0.0, 1000.0]),
'b': ContinuousVariable(dtype=None, default_value=None, domain=[-1.0, 1.0])}
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vocs.objectives["c"]
vocs.objectives["c"]
Out[7]:
MaximizeObjective(dtype=None)
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isinstance(vocs.objectives["c"], MaximizeObjective)
isinstance(vocs.objectives["c"], MaximizeObjective)
Out[8]:
True
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# json
vocs.model_dump_json()
# json
vocs.model_dump_json()
Out[9]:
'{"variables":{"a":{"dtype":null,"default_value":null,"domain":[0.0,1000.0],"type":"ContinuousVariable"},"b":{"dtype":null,"default_value":null,"domain":[-1.0,1.0],"type":"ContinuousVariable"}},"objectives":{"c":{"dtype":null,"type":"MaximizeObjective"},"d":{"dtype":null,"type":"MinimizeObjective"}},"constraints":{"e":{"dtype":null,"value":2.0,"type":"LessThanConstraint"},"f":{"dtype":null,"value":0.0,"type":"GreaterThanConstraint"}},"constants":{"g":{"dtype":null,"value":123,"type":"Constant"}},"observables":{}}'
Objective Evaluation¶
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data = pd.DataFrame(random_inputs(vocs, 10))
# Add some outputs
data["c"] = data["a"] + data["b"]
data["d"] = data["a"] - data["b"]
data["e"] = data["a"] * 2 + data["b"] * 2
data["f"] = data["a"] * 2 - data["b"] * 2
data.index = np.arange(len(data)) + 5 # custom index
data
data = pd.DataFrame(random_inputs(vocs, 10))
# Add some outputs
data["c"] = data["a"] + data["b"]
data["d"] = data["a"] - data["b"]
data["e"] = data["a"] * 2 + data["b"] * 2
data["f"] = data["a"] * 2 - data["b"] * 2
data.index = np.arange(len(data)) + 5 # custom index
data
Out[10]:
| a | b | g | c | d | e | f | |
|---|---|---|---|---|---|---|---|
| 5 | 39.902145 | -0.129186 | 123 | 39.772959 | 40.031332 | 79.545918 | 80.062664 |
| 6 | 789.565345 | 0.351747 | 123 | 789.917092 | 789.213597 | 1579.834184 | 1578.427195 |
| 7 | 27.557468 | -0.973207 | 123 | 26.584261 | 28.530675 | 53.168521 | 57.061349 |
| 8 | 801.707108 | -0.227390 | 123 | 801.479718 | 801.934498 | 1602.959437 | 1603.868997 |
| 9 | 51.037609 | -0.731112 | 123 | 50.306497 | 51.768721 | 100.612995 | 103.537442 |
| 10 | 15.444274 | -0.562445 | 123 | 14.881828 | 16.006719 | 29.763656 | 32.013438 |
| 11 | 888.978608 | 0.560429 | 123 | 889.539037 | 888.418178 | 1779.078074 | 1776.836357 |
| 12 | 700.877660 | -0.195022 | 123 | 700.682638 | 701.072683 | 1401.365276 | 1402.145365 |
| 13 | 979.350155 | 0.488276 | 123 | 979.838431 | 978.861879 | 1959.676861 | 1957.723757 |
| 14 | 516.954605 | -0.364603 | 123 | 516.590002 | 517.319209 | 1033.180004 | 1034.638418 |
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# These are in standard form for minimization, available as a function
get_objective_data(vocs, data)
# These are in standard form for minimization, available as a function
get_objective_data(vocs, data)
Out[11]:
| objective_c | objective_d | |
|---|---|---|
| 5 | -39.772959 | 40.031332 |
| 6 | -789.917092 | 789.213597 |
| 7 | -26.584261 | 28.530675 |
| 8 | -801.479718 | 801.934498 |
| 9 | -50.306497 | 51.768721 |
| 10 | -14.881828 | 16.006719 |
| 11 | -889.539037 | 888.418178 |
| 12 | -700.682638 | 701.072683 |
| 13 | -979.838431 | 978.861879 |
| 14 | -516.590002 | 517.319209 |
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# use the to_numpy() method to convert for low level use.
get_objective_data(vocs, data).to_numpy()
# use the to_numpy() method to convert for low level use.
get_objective_data(vocs, data).to_numpy()
Out[12]:
array([[ -39.77295909, 40.03133183],
[-789.91709224, 789.2135973 ],
[ -26.58426054, 28.53067459],
[-801.47971828, 801.93449849],
[ -50.30649741, 51.76872091],
[ -14.88182815, 16.00671904],
[-889.53903723, 888.41817837],
[-700.68263796, 701.07268267],
[-979.83843052, 978.86187864],
[-516.59000193, 517.31920891]])
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get_constraint_data(vocs, data)
get_constraint_data(vocs, data)
Out[13]:
| constraint_e | constraint_f | |
|---|---|---|
| 5 | 77.545918 | -80.062664 |
| 6 | 1577.834184 | -1578.427195 |
| 7 | 51.168521 | -57.061349 |
| 8 | 1600.959437 | -1603.868997 |
| 9 | 98.612995 | -103.537442 |
| 10 | 27.763656 | -32.013438 |
| 11 | 1777.078074 | -1776.836357 |
| 12 | 1399.365276 | -1402.145365 |
| 13 | 1957.676861 | -1957.723757 |
| 14 | 1031.180004 | -1034.638418 |
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get_feasibility_data(vocs, data)
get_feasibility_data(vocs, data)
Out[14]:
| feasible_e | feasible_f | feasible | |
|---|---|---|---|
| 5 | False | True | False |
| 6 | False | True | False |
| 7 | False | True | False |
| 8 | False | True | False |
| 9 | False | True | False |
| 10 | False | True | False |
| 11 | False | True | False |
| 12 | False | True | False |
| 13 | False | True | False |
| 14 | False | True | False |
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# normalize inputs to unit domain [0,1]
normed_data = normalize_inputs(vocs, data)
normed_data
# normalize inputs to unit domain [0,1]
normed_data = normalize_inputs(vocs, data)
normed_data
Out[15]:
| a | b | |
|---|---|---|
| 5 | 0.039902 | 0.435407 |
| 6 | 0.789565 | 0.675874 |
| 7 | 0.027557 | 0.013396 |
| 8 | 0.801707 | 0.386305 |
| 9 | 0.051038 | 0.134444 |
| 10 | 0.015444 | 0.218777 |
| 11 | 0.888979 | 0.780215 |
| 12 | 0.700878 | 0.402489 |
| 13 | 0.979350 | 0.744138 |
| 14 | 0.516955 | 0.317698 |
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# and denormalize
denormalize_inputs(vocs, normed_data)
# and denormalize
denormalize_inputs(vocs, normed_data)
Out[16]:
| a | b | |
|---|---|---|
| 5 | 39.902145 | -0.129186 |
| 6 | 789.565345 | 0.351747 |
| 7 | 27.557468 | -0.973207 |
| 8 | 801.707108 | -0.227390 |
| 9 | 51.037609 | -0.731112 |
| 10 | 15.444274 | -0.562445 |
| 11 | 888.978608 | 0.560429 |
| 12 | 700.877660 | -0.195022 |
| 13 | 979.350155 | 0.488276 |
| 14 | 516.954605 | -0.364603 |
Error handling¶
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Y = """
variables:
a: [0, 1e3] # Note that 1e3 usually parses as a str with YAML.
b: [-1, 1]
objectives:
c: maximize
d: minimize
constraints:
e: ['Less_than', 2]
f: ['greater_than', 0]
constants:
g: 1234
"""
vocs = VOCS(**yaml.safe_load(Y))
Y = """
variables:
a: [0, 1e3] # Note that 1e3 usually parses as a str with YAML.
b: [-1, 1]
objectives:
c: maximize
d: minimize
constraints:
e: ['Less_than', 2]
f: ['greater_than', 0]
constants:
g: 1234
"""
vocs = VOCS(**yaml.safe_load(Y))
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d = {"a": [1, 2, 3]}
df = pd.DataFrame(d)
df2 = pd.DataFrame(df).copy()
df2["b"] = np.nan
df2["b"] - 1
d = {"a": [1, 2, 3]}
df = pd.DataFrame(d)
df2 = pd.DataFrame(df).copy()
df2["b"] = np.nan
df2["b"] - 1
Out[18]:
0 NaN 1 NaN 2 NaN Name: b, dtype: float64
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data["a"] = np.nan
data["a"] = np.nan
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a = 2
def f(x=a):
return x
a = 99
f()
a = 2
def f(x=a):
return x
a = 99
f()
Out[20]:
2
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pd.DataFrame(6e66, index=[1, 2, 3], columns=["A"])
pd.DataFrame(6e66, index=[1, 2, 3], columns=["A"])
Out[21]:
| A | |
|---|---|
| 1 | 6.000000e+66 |
| 2 | 6.000000e+66 |
| 3 | 6.000000e+66 |
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# These are in standard form for minimization
data = pd.DataFrame({"c": [1, 2, 3, 4]}, index=[9, 3, 4, 5])
get_objective_data(vocs, data)
# These are in standard form for minimization
data = pd.DataFrame({"c": [1, 2, 3, 4]}, index=[9, 3, 4, 5])
get_objective_data(vocs, data)
Out[22]:
| objective_c | objective_d | |
|---|---|---|
| 9 | -1.0 | inf |
| 3 | -2.0 | inf |
| 4 | -3.0 | inf |
| 5 | -4.0 | inf |