def get_best(self, non_dom_leaves):
"""
Return the best row from all the
non dominated leaves
:param non_dom_leaves:
:return:
"""
bests = []
evals = 0
for leaf in non_dom_leaves:
east = leaf._pop[0]
west = leaf._pop[-1]
if not east.evaluated:
east.evaluate(self.problem)
evals += 1
if not west.evaluated:
west.evaluate(self.problem)
evals += 1
weights = self.problem.directional_weights()
weighted_west = [c*w for c,w in zip(west.objectives, weights)]
weighted_east = [c*w for c,w in zip(east.objectives, weights)]
objs = self.problem.objectives
west_loss = Algorithm.dominates_continuous(weighted_west,
weighted_east,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
east_loss = Algorithm.dominates_continuous(weighted_east,
weighted_west,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
if east_loss < west_loss:
bests.append(east)
else:
bests.append(west)
return bests, evals
def divide(self, threshold, abort = False):
"""
Recursively partition tree
:param threshold:
:return:
"""
def afew(pop):
clones = [point.clone() for point in pop]
return clones
self._pop = self.fastmap(self.problem, self._pop)
self.n = len(self._pop)
n = len(self._pop)
cut, _ = self.binary_chop(self._pop, n//2, None, 2*n ** 0.5, n)
self.abort = abort
if not abort and n >= threshold:
# Splitting
wests, easts = self.split(self._pop, cut)
if self.west != self.east:
if self.N > cut:
little_n = cut
else:
little_n = self.N
west_abort = False
east_abort = False
if not self.east.evaluated:
self.east.evaluate(self.problem)
if not self.west.evaluated:
self.west.evaluate(self.problem)
weights = self.problem.directional_weights()
weighted_west = [c*w for c,w in zip(self.west.objectives, weights)]
weighted_east = [c*w for c,w in zip(self.east.objectives, weights)]
objs = self.problem.objectives
west_loss = Algorithm.dominates_continuous(
weighted_west,
weighted_east,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
east_loss = Algorithm.dominates_continuous(
weighted_east,
weighted_west,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
EPSILON = 1.0
if west_loss < EPSILON * east_loss:
east_abort = True
if east_loss < EPSILON * west_loss:
west_abort = True
self.left = Node(self.problem, afew(wests), self.total_size, parent=self, level=self.level+1, n=little_n)\
.divide(threshold, abort=west_abort)
self.right = Node(self.problem, afew(easts), self.total_size, parent=self, level=self.level+1, n=little_n)\
.divide(threshold, abort=east_abort)
return self
def __init__(self, problem, **settings): """ Initialize GALE algorithm :param problem: Instance of the problem :param gens: Max number of generations """ Algorithm.__init__(self, GALE.__name__, problem) self.select = self._select self.evolve = self._evolve self.recombine = self._recombine self.settings = default_settings().update(**settings)
def __init__(self, problem, **settings):
"""
Initialize GALE algorithm
:param problem: Instance of the problem
:param gens: Max number of generations
"""
Algorithm.__init__(self, GALE.__name__, problem)
self.select = self._select
self.evolve = self._evolve
self.recombine = self._recombine
self.settings = default_settings().update(**settings)
def get_best(self, non_dom_leaves):
"""
Return the best row from all the
non dominated leaves
:param non_dom_leaves:
:return:
"""
bests = []
evals = 0
for leaf in non_dom_leaves:
east = leaf._pop[0]
west = leaf._pop[-1]
if not east.evaluated:
east.evaluate(self.problem)
evals += 1
if not west.evaluated:
west.evaluate(self.problem)
evals += 1
weights = self.problem.directional_weights()
weighted_west = [c * w for c, w in zip(west.objectives, weights)]
weighted_east = [c * w for c, w in zip(east.objectives, weights)]
objs = self.problem.objectives
west_loss = Algorithm.dominates_continuous(
weighted_west,
weighted_east,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
east_loss = Algorithm.dominates_continuous(
weighted_east,
weighted_west,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
if east_loss < west_loss:
bests.append(east)
else:
bests.append(west)
return bests, evals
def _evolve(self, selected):
evals = 0
GAMMA = self.settings.gamma
for leaf in selected:
#Poles
east = leaf._pop[0]
west = leaf._pop[-1]
# Evaluate poles if required
if not east.evaluated:
east.evaluate(self.problem)
evals += 1
if not west.evaluated:
west.evaluate(self.problem)
evals += 1
weights = self.problem.directional_weights()
weighted_west = [c*w for c,w in zip(west.objectives, weights)]
weighted_east = [c*w for c,w in zip(east.objectives, weights)]
objs = self.problem.objectives
west_loss = Algorithm.dominates_continuous(weighted_west,
weighted_east,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
east_loss = Algorithm.dominates_continuous(weighted_east,
weighted_west,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
# Determine better Pole
if east_loss < west_loss:
south_pole,north_pole = east,west
else:
south_pole,north_pole = west,east
# Magnitude of the mutations
g = abs(south_pole.x - north_pole.x)
for row in leaf._pop:
clone = row.clone()
clone_x = row.x
for dec_index in range(len(self.problem.decisions)):
# Few naming shorthands
me = row.decisions[dec_index]
good = south_pole.decisions[dec_index]
bad = north_pole.decisions[dec_index]
dec = self.problem.decisions[dec_index]
if me > good: d = -1
elif me < good: d = +1
else : d = 0
# Mutating towards the better solution
row.decisions[dec_index] = min(dec.high, max(dec.low, me + me * g * d))
# Project the mutant
a = row.dist(self.problem, north_pole, is_obj=False)
b = row.dist(self.problem, south_pole, is_obj=False)
x = (a**2 + row.c**2 - b**2) / (2*row.c+0.00001)
row.x = x
GALE.count += 1
if abs(x - clone_x) > (g * GAMMA) or not self.problem.check_constraints(row.decisions):
GALE.unsatisfied += 1
row.decisions = clone.decisions
row.x = clone_x
pop = []
for leaf in selected:
for row in leaf._pop:
if row.evaluated:
row.evaluate(self.problem) # Re-evaluating
pop.append(row)
return pop, evals
def __init__(self, problem, **settings): """ Initialize DE for Algorithm """ Algorithm.__init__(self, DE.__name__, problem) self.settings = default_settings().update(**settings)
def _evolve(self, selected):
evals = 0
GAMMA = self.settings.gamma
for leaf in selected:
#Poles
east = leaf._pop[0]
west = leaf._pop[-1]
# Evaluate poles if required
if not east.evaluated:
east.evaluate(self.problem)
evals += 1
if not west.evaluated:
west.evaluate(self.problem)
evals += 1
weights = self.problem.directional_weights()
weighted_west = [c * w for c, w in zip(west.objectives, weights)]
weighted_east = [c * w for c, w in zip(east.objectives, weights)]
objs = self.problem.objectives
west_loss = Algorithm.dominates_continuous(
weighted_west,
weighted_east,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
east_loss = Algorithm.dominates_continuous(
weighted_east,
weighted_west,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
# Determine better Pole
if east_loss < west_loss:
south_pole, north_pole = east, west
else:
south_pole, north_pole = west, east
# Magnitude of the mutations
g = abs(south_pole.x - north_pole.x)
for row in leaf._pop:
clone = row.clone()
clone_x = row.x
for dec_index in range(len(self.problem.decisions)):
# Few naming shorthands
me = row.decisions[dec_index]
good = south_pole.decisions[dec_index]
bad = north_pole.decisions[dec_index]
dec = self.problem.decisions[dec_index]
if me > good: d = -1
elif me < good: d = +1
else: d = 0
# Mutating towards the better solution
row.decisions[dec_index] = min(
dec.high, max(dec.low, me + me * g * d))
# Project the mutant
a = row.dist(self.problem, north_pole, is_obj=False)
b = row.dist(self.problem, south_pole, is_obj=False)
x = (a**2 + row.c**2 - b**2) / (2 * row.c + 0.00001)
row.x = x
if abs(x - clone_x) > (
g * GAMMA) or not self.problem.check_constraints(row):
row.decisions = clone.decisions
row.x = clone_x
pop = []
for leaf in selected:
for row in leaf._pop:
if row.evaluated:
row.evaluate(self.problem) # Re-evaluating
pop.append(row)
return pop, evals
def __init__(self, problem, **settings):
Algorithm.__init__(self, 'GALE', problem)
self.select = self._select
self.evolve = self._evolve
self.recombine = self._recombine
self.settings = default_settings().update(**settings)
def __init__(self, problem, **settings): Algorithm.__init__(self, 'GALE', problem) self.select = self._select self.evolve = self._evolve self.recombine = self._recombine self.settings = default_settings().update(**settings)
def __init__(self, problem, **settings):
"""
Initialize DE for Algorithm
"""
Algorithm.__init__(self, DE.__name__, problem)
self.settings = default_settings().update(**settings)
def divide(self, threshold, abort=False):
"""
Recursively partition tree
:param threshold:
:return:
"""
def afew(pop):
clones = [point.clone() for point in pop]
return clones
self._pop = self.fastmap(self.problem, self._pop)
self.n = len(self._pop)
n = len(self._pop)
cut, _ = self.binary_chop(self._pop, n // 2, None, 2 * n**0.5, n)
self.abort = abort
if not abort and n >= threshold:
# Splitting
wests, easts = self.split(self._pop, cut)
if self.west != self.east:
if self.N > cut:
little_n = cut
else:
little_n = self.N
west_abort = False
east_abort = False
if not self.east.evaluated:
self.east.evaluate(self.problem)
if not self.west.evaluated:
self.west.evaluate(self.problem)
weights = self.problem.directional_weights()
weighted_west = [
c * w for c, w in zip(self.west.objectives, weights)
]
weighted_east = [
c * w for c, w in zip(self.east.objectives, weights)
]
objs = self.problem.objectives
west_loss = Algorithm.dominates_continuous(
weighted_west,
weighted_east,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
east_loss = Algorithm.dominates_continuous(
weighted_east,
weighted_west,
mins=[o.low for o in objs],
maxs=[o.high for o in objs])
EPSILON = 1.0
if west_loss < EPSILON * east_loss:
east_abort = True
if east_loss < EPSILON * west_loss:
west_abort = True
self.left = Node(self.problem, afew(wests), self.total_size, parent=self, level=self.level+1, n=little_n)\
.divide(threshold, abort=west_abort)
self.right = Node(self.problem, afew(easts), self.total_size, parent=self, level=self.level+1, n=little_n)\
.divide(threshold, abort=east_abort)
return self