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# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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import logging
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from copy import deepcopy
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from tqdm import tqdm
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from miplearn import Component
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from miplearn.classifiers.counting import CountingClassifier
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from miplearn.components import classifier_evaluation_dict
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from miplearn.extractors import InstanceIterator
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logger = logging.getLogger(__name__)
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class ConvertTightIneqsIntoEqsStep(Component):
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"""
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Component that predicts which inequality constraints are likely to be binding in
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the LP relaxation of the problem and converts them into equality constraints.
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Optionally double checks that the conversion process did not affect feasibility
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or optimality of the problem.
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This component does not work on MIPs. All integrality constraints must be relaxed
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before this component is used.
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"""
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def __init__(
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self,
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classifier=CountingClassifier(),
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threshold=0.95,
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slack_tolerance=1e-5,
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):
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self.classifiers = {}
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self.classifier_prototype = classifier
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self.threshold = threshold
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self.slack_tolerance = slack_tolerance
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def before_solve(self, solver, instance, _):
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logger.info("Predicting tight LP constraints...")
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cids = solver.internal_solver.get_constraint_ids()
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x, constraints = self.x(
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[instance],
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constraint_ids=cids,
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return_constraints=True,
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)
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y = self.predict(x)
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n_converted = 0
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for category in y.keys():
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for i in range(len(y[category])):
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if y[category][i][0] == 1:
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cid = constraints[category][i]
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solver.internal_solver.set_constraint_sense(cid, "=")
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n_converted += 1
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logger.info(f"Converted {n_converted} inequalities into equalities")
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def after_solve(self, solver, instance, model, results):
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instance.slacks = solver.internal_solver.get_constraint_slacks()
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def fit(self, training_instances):
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logger.debug("Extracting x and y...")
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x = self.x(training_instances)
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y = self.y(training_instances)
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logger.debug("Fitting...")
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for category in tqdm(x.keys(), desc="Fit (rlx:conv_ineqs)"):
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if category not in self.classifiers:
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self.classifiers[category] = deepcopy(self.classifier_prototype)
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self.classifiers[category].fit(x[category], y[category])
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def x(
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self,
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instances,
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constraint_ids=None,
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return_constraints=False,
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):
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x = {}
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constraints = {}
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for instance in tqdm(
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InstanceIterator(instances),
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desc="Extract (rlx:conv_ineqs:x)",
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disable=len(instances) < 5,
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):
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if constraint_ids is not None:
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cids = constraint_ids
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else:
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cids = instance.slacks.keys()
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for cid in cids:
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category = instance.get_constraint_category(cid)
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if category is None:
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continue
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if category not in x:
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x[category] = []
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constraints[category] = []
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x[category] += [instance.get_constraint_features(cid)]
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constraints[category] += [cid]
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if return_constraints:
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return x, constraints
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else:
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return x
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def y(self, instances):
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y = {}
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for instance in tqdm(
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InstanceIterator(instances),
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desc="Extract (rlx:conv_ineqs:y)",
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disable=len(instances) < 5,
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):
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for (cid, slack) in instance.slacks.items():
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category = instance.get_constraint_category(cid)
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if category is None:
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continue
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if category not in y:
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y[category] = []
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if slack <= self.slack_tolerance:
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y[category] += [[1]]
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else:
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y[category] += [[0]]
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return y
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def predict(self, x):
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y = {}
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for (category, x_cat) in x.items():
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if category not in self.classifiers:
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continue
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y[category] = []
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# x_cat = np.array(x_cat)
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proba = self.classifiers[category].predict_proba(x_cat)
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for i in range(len(proba)):
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if proba[i][1] >= self.threshold:
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y[category] += [[1]]
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else:
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y[category] += [[0]]
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return y
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def evaluate(self, instance):
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x = self.x([instance])
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y_true = self.y([instance])
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y_pred = self.predict(x)
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tp, tn, fp, fn = 0, 0, 0, 0
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for category in y_true.keys():
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for i in range(len(y_true[category])):
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if y_pred[category][i][0] == 1:
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if y_true[category][i][0] == 1:
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tp += 1
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else:
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fp += 1
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else:
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if y_true[category][i][0] == 1:
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fn += 1
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else:
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tn += 1
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return classifier_evaluation_dict(tp, tn, fp, fn)
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@ -0,0 +1,186 @@
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# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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import logging
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from copy import deepcopy
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from tqdm import tqdm
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from miplearn import Component
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from miplearn.classifiers.counting import CountingClassifier
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from miplearn.components import classifier_evaluation_dict
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from miplearn.components.lazy_static import LazyConstraint
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from miplearn.extractors import InstanceIterator
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logger = logging.getLogger(__name__)
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class DropRedundantInequalitiesStep(Component):
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"""
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Component that predicts which inequalities are likely loose in the LP and removes
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them. Optionally, double checks after the problem is solved that all dropped
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inequalities were in fact redundant, and, if not, re-adds them to the problem.
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This component does not work on MIPs. All integrality constraints must be relaxed
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before this component is used.
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"""
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def __init__(
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self,
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classifier=CountingClassifier(),
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threshold=0.95,
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slack_tolerance=1e-5,
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check_dropped=False,
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violation_tolerance=1e-5,
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max_iterations=3,
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):
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self.classifiers = {}
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self.classifier_prototype = classifier
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self.threshold = threshold
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self.slack_tolerance = slack_tolerance
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self.pool = []
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self.check_dropped = check_dropped
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self.violation_tolerance = violation_tolerance
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self.max_iterations = max_iterations
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self.current_iteration = 0
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def before_solve(self, solver, instance, _):
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self.current_iteration = 0
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logger.info("Predicting redundant LP constraints...")
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cids = solver.internal_solver.get_constraint_ids()
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x, constraints = self.x(
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[instance],
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constraint_ids=cids,
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return_constraints=True,
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)
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y = self.predict(x)
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for category in y.keys():
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for i in range(len(y[category])):
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if y[category][i][0] == 1:
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cid = constraints[category][i]
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c = LazyConstraint(
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cid=cid,
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obj=solver.internal_solver.extract_constraint(cid),
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)
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self.pool += [c]
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logger.info("Extracted %d predicted constraints" % len(self.pool))
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def after_solve(self, solver, instance, model, results):
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instance.slacks = solver.internal_solver.get_constraint_slacks()
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def fit(self, training_instances):
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logger.debug("Extracting x and y...")
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x = self.x(training_instances)
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y = self.y(training_instances)
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logger.debug("Fitting...")
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for category in tqdm(x.keys(), desc="Fit (rlx:drop_ineq)"):
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if category not in self.classifiers:
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self.classifiers[category] = deepcopy(self.classifier_prototype)
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self.classifiers[category].fit(x[category], y[category])
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def x(self, instances, constraint_ids=None, return_constraints=False):
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x = {}
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constraints = {}
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for instance in tqdm(
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InstanceIterator(instances),
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desc="Extract (rlx:drop_ineq:x)",
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disable=len(instances) < 5,
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):
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if constraint_ids is not None:
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cids = constraint_ids
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else:
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cids = instance.slacks.keys()
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for cid in cids:
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category = instance.get_constraint_category(cid)
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if category is None:
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continue
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if category not in x:
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x[category] = []
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constraints[category] = []
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x[category] += [instance.get_constraint_features(cid)]
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constraints[category] += [cid]
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if return_constraints:
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return x, constraints
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else:
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return x
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def y(self, instances):
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y = {}
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for instance in tqdm(
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InstanceIterator(instances),
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desc="Extract (rlx:drop_ineq:y)",
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disable=len(instances) < 5,
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):
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for (cid, slack) in instance.slacks.items():
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category = instance.get_constraint_category(cid)
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if category is None:
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continue
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if category not in y:
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y[category] = []
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if slack > self.slack_tolerance:
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y[category] += [[1]]
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else:
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y[category] += [[0]]
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return y
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def predict(self, x):
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y = {}
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for (category, x_cat) in x.items():
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if category not in self.classifiers:
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continue
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y[category] = []
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# x_cat = np.array(x_cat)
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proba = self.classifiers[category].predict_proba(x_cat)
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for i in range(len(proba)):
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if proba[i][1] >= self.threshold:
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y[category] += [[1]]
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else:
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y[category] += [[0]]
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return y
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def evaluate(self, instance):
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x = self.x([instance])
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y_true = self.y([instance])
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y_pred = self.predict(x)
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tp, tn, fp, fn = 0, 0, 0, 0
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for category in y_true.keys():
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for i in range(len(y_true[category])):
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if y_pred[category][i][0] == 1:
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if y_true[category][i][0] == 1:
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tp += 1
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else:
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fp += 1
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else:
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if y_true[category][i][0] == 1:
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fn += 1
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else:
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tn += 1
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return classifier_evaluation_dict(tp, tn, fp, fn)
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def iteration_cb(self, solver, instance, model):
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if not self.check_dropped:
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return False
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if self.current_iteration >= self.max_iterations:
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return False
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self.current_iteration += 1
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logger.debug("Checking that dropped constraints are satisfied...")
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constraints_to_add = []
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for c in self.pool:
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if not solver.internal_solver.is_constraint_satisfied(
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c.obj,
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self.violation_tolerance,
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):
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constraints_to_add.append(c)
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for c in constraints_to_add:
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self.pool.remove(c)
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solver.internal_solver.add_constraint(c.obj)
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if len(constraints_to_add) > 0:
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logger.info(
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"%8d constraints %8d in the pool"
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% (len(constraints_to_add), len(self.pool))
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)
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return True
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else:
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return False
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@ -0,0 +1,19 @@
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# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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import logging
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from miplearn import Component
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logger = logging.getLogger(__name__)
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class RelaxIntegralityStep(Component):
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"""
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Component that relaxes all integrality constraints before the problem is solved.
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"""
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def before_solve(self, solver, instance, _):
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logger.info("Relaxing integrality...")
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solver.internal_solver.relax()
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