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MIPLearn v0.3
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210
miplearn/extractors/AlvLouWeh2017.py
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210
miplearn/extractors/AlvLouWeh2017.py
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# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
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# Copyright (C) 2020-2022, 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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from typing import Tuple, Optional
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import numpy as np
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from miplearn.extractors.abstract import FeaturesExtractor
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from miplearn.h5 import H5File
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class AlvLouWeh2017Extractor(FeaturesExtractor):
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def __init__(
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self,
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with_m1: bool = True,
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with_m2: bool = True,
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with_m3: bool = True,
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):
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self.with_m1 = with_m1
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self.with_m2 = with_m2
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self.with_m3 = with_m3
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def get_instance_features(self, h5: H5File) -> np.ndarray:
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raise NotImplemented()
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def get_var_features(self, h5: H5File) -> np.ndarray:
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"""
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Computes static variable features described in:
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Alvarez, A. M., Louveaux, Q., & Wehenkel, L. (2017). A machine learning-based
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approximation of strong branching. INFORMS Journal on Computing, 29(1),
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185-195.
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"""
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A = h5.get_sparse("static_constr_lhs")
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b = h5.get_array("static_constr_rhs")
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c = h5.get_array("static_var_obj_coeffs")
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c_sa_up = h5.get_array("lp_var_sa_obj_up")
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c_sa_down = h5.get_array("lp_var_sa_obj_down")
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values = h5.get_array("lp_var_values")
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assert A is not None
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assert b is not None
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assert c is not None
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nvars = len(c)
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curr = 0
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max_n_features = 40
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features = np.zeros((nvars, max_n_features))
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def push(v: np.ndarray) -> None:
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nonlocal curr
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assert v.shape == (nvars,), f"{v.shape} != ({nvars},)"
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features[:, curr] = v
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curr += 1
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def push_sign_abs(v: np.ndarray) -> None:
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assert v.shape == (nvars,), f"{v.shape} != ({nvars},)"
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push(np.sign(v))
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push(np.abs(v))
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def maxmin(M: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
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M_max = np.ravel(M.max(axis=0).todense())
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M_min = np.ravel(M.min(axis=0).todense())
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return M_max, M_min
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with np.errstate(divide="ignore", invalid="ignore"):
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# Feature 1
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push(np.sign(c))
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# Feature 2
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c_pos_sum = c[c > 0].sum()
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push(np.abs(c) / c_pos_sum)
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# Feature 3
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c_neg_sum = -c[c < 0].sum()
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push(np.abs(c) / c_neg_sum)
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if A is not None and self.with_m1:
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# Compute A_ji / |b_j|
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M1 = A.T.multiply(1.0 / np.abs(b)).T.tocsr()
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# Select rows with positive b_j and compute max/min
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M1_pos = M1[b > 0, :]
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if M1_pos.shape[0] > 0:
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M1_pos_max = np.asarray(M1_pos.max(axis=0).todense()).flatten()
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M1_pos_min = np.asarray(M1_pos.min(axis=0).todense()).flatten()
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else:
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M1_pos_max = np.zeros(nvars)
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M1_pos_min = np.zeros(nvars)
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# Select rows with negative b_j and compute max/min
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M1_neg = M1[b < 0, :]
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if M1_neg.shape[0] > 0:
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M1_neg_max = np.asarray(M1_neg.max(axis=0).todense()).flatten()
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M1_neg_min = np.asarray(M1_neg.min(axis=0).todense()).flatten()
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else:
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M1_neg_max = np.zeros(nvars)
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M1_neg_min = np.zeros(nvars)
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# Features 4-11
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push_sign_abs(M1_pos_min)
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push_sign_abs(M1_pos_max)
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push_sign_abs(M1_neg_min)
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push_sign_abs(M1_neg_max)
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if A is not None and self.with_m2:
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# Compute |c_i| / A_ij
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M2 = A.power(-1).multiply(np.abs(c)).tocsc()
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# Compute max/min
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M2_max, M2_min = maxmin(M2)
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# Make copies of M2 and erase elements based on sign(c)
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M2_pos_max = M2_max.copy()
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M2_neg_max = M2_max.copy()
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M2_pos_min = M2_min.copy()
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M2_neg_min = M2_min.copy()
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M2_pos_max[c <= 0] = 0
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M2_pos_min[c <= 0] = 0
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M2_neg_max[c >= 0] = 0
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M2_neg_min[c >= 0] = 0
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# Features 12-19
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push_sign_abs(M2_pos_min)
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push_sign_abs(M2_pos_max)
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push_sign_abs(M2_neg_min)
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push_sign_abs(M2_neg_max)
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if A is not None and self.with_m3:
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# Compute row sums
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S_pos = A.maximum(0).sum(axis=1)
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S_neg = np.abs(A.minimum(0).sum(axis=1))
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# Divide A by positive and negative row sums
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M3_pos = A.multiply(1 / S_pos).tocsr()
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M3_neg = A.multiply(1 / S_neg).tocsr()
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# Remove +inf and -inf generated by division by zero
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M3_pos.data[~np.isfinite(M3_pos.data)] = 0.0
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M3_neg.data[~np.isfinite(M3_neg.data)] = 0.0
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M3_pos.eliminate_zeros()
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M3_neg.eliminate_zeros()
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# Split each matrix into positive and negative parts
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M3_pos_pos = M3_pos.maximum(0)
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M3_pos_neg = -(M3_pos.minimum(0))
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M3_neg_pos = M3_neg.maximum(0)
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M3_neg_neg = -(M3_neg.minimum(0))
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# Calculate max/min
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M3_pos_pos_max, M3_pos_pos_min = maxmin(M3_pos_pos)
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M3_pos_neg_max, M3_pos_neg_min = maxmin(M3_pos_neg)
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M3_neg_pos_max, M3_neg_pos_min = maxmin(M3_neg_pos)
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M3_neg_neg_max, M3_neg_neg_min = maxmin(M3_neg_neg)
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# Features 20-35
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push_sign_abs(M3_pos_pos_max)
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push_sign_abs(M3_pos_pos_min)
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push_sign_abs(M3_pos_neg_max)
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push_sign_abs(M3_pos_neg_min)
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push_sign_abs(M3_neg_pos_max)
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push_sign_abs(M3_neg_pos_min)
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push_sign_abs(M3_neg_neg_max)
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push_sign_abs(M3_neg_neg_min)
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# Feature 36: only available during B&B
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# Feature 37
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if values is not None:
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push(
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np.minimum(
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values - np.floor(values),
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np.ceil(values) - values,
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)
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)
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# Features 38-43: only available during B&B
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# Feature 44
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if c_sa_up is not None:
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assert c_sa_down is not None
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# Features 44 and 46
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push(np.sign(c_sa_up))
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push(np.sign(c_sa_down))
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# Feature 45 is duplicated
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# Feature 47-48
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push(np.log(c - c_sa_down / np.sign(c)))
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push(np.log(c - c_sa_up / np.sign(c)))
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# Features 49-64: only available during B&B
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features = features[:, 0:curr]
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_fix_infinity(features)
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return features
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def get_constr_features(self, h5: H5File) -> np.ndarray:
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raise NotImplemented()
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def _fix_infinity(m: Optional[np.ndarray]) -> None:
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if m is None:
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return
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masked = np.ma.masked_invalid(m) # type: ignore
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max_values = np.max(masked, axis=0)
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min_values = np.min(masked, axis=0)
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m[:] = np.maximum(np.minimum(m, max_values), min_values)
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m[~np.isfinite(m)] = 0.0
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