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MIPLearn/miplearn/components/relaxation.py

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4.1 KiB

# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
import logging
from miplearn.classifiers.counting import CountingClassifier
from miplearn.components.component import Component
from miplearn.components.composite import CompositeComponent
from miplearn.components.steps.convert_tight import ConvertTightIneqsIntoEqsStep
from miplearn.components.steps.drop_redundant import DropRedundantInequalitiesStep
from miplearn.components.steps.relax_integrality import RelaxIntegralityStep
logger = logging.getLogger(__name__)
class RelaxationComponent(Component):
"""
A Component that tries to build a relaxation that is simultaneously strong and easy
to solve. Currently, this component is composed by three steps:
- RelaxIntegralityStep
- DropRedundantInequalitiesStep
- ConvertTightIneqsIntoEqsStep
Parameters
----------
redundant_classifier : Classifier, optional
Classifier used to predict if a constraint is likely redundant. One deep
copy of this classifier is made for each constraint category.
redundant_threshold : float, optional
If the probability that a constraint is redundant exceeds this threshold, the
constraint is dropped from the linear relaxation.
tight_classifier : Classifier, optional
Classifier used to predict if a constraint is likely to be tight. One deep
copy of this classifier is made for each constraint category.
tight_threshold : float, optional
If the probability that a constraint is tight exceeds this threshold, the
constraint is converted into an equality constraint.
slack_tolerance : float, optional
If a constraint has slack greater than this threshold, then the constraint is
considered loose. By default, this threshold equals a small positive number to
compensate for numerical issues.
check_feasibility : bool, optional
If true, after the problem is solved, the component verifies that all dropped
constraints are still satisfied, re-adds the violated ones and resolves the
problem. This loop continues until either no violations are found, or a maximum
number of iterations is reached.
violation_tolerance : float, optional
If `check_dropped` is true, a constraint is considered satisfied during the
check if its violation is smaller than this tolerance.
max_check_iterations : int
If `check_dropped` is true, set the maximum number of iterations in the lazy
constraint loop.
"""
def __init__(
self,
redundant_classifier=CountingClassifier(),
redundant_threshold=0.95,
tight_classifier=CountingClassifier(),
tight_threshold=0.95,
slack_tolerance=1e-5,
check_feasibility=False,
violation_tolerance=1e-5,
max_check_iterations=3,
):
self.steps = [
RelaxIntegralityStep(),
DropRedundantInequalitiesStep(
classifier=redundant_classifier,
threshold=redundant_threshold,
slack_tolerance=slack_tolerance,
violation_tolerance=violation_tolerance,
max_iterations=max_check_iterations,
check_feasibility=check_feasibility,
),
ConvertTightIneqsIntoEqsStep(
classifier=tight_classifier,
threshold=tight_threshold,
slack_tolerance=slack_tolerance,
),
]
self.composite = CompositeComponent(self.steps)
def before_solve(self, solver, instance, model):
self.composite.before_solve(solver, instance, model)
def after_solve(self, solver, instance, model, stats, training_data):
self.composite.after_solve(solver, instance, model, stats, training_data)
def fit(self, training_instances):
self.composite.fit(training_instances)
def iteration_cb(self, solver, instance, model):
return self.composite.iteration_cb(solver, instance, model)