Archive of non-dominated points
Creating an archive of all non-dominated points using Fast Incremental BSP Tree. This package provides a Python wrapper for code provided as a fast incremental BSP archive.
COMPILATION
python setup.py build
python install --user
# or
pip3 install --user git+https://github.com/ehw-fit/py-paretoarchive
pip install --user git+https://github.com/ehw-fit/py-paretoarchive
USAGE
PyBspTreeArchive(objectives=3, minimizeObjective1=True, minimizeObjective2=True, minimizeObjective3=True, minimizeObjective4=True)
from paretoarchive import PyBspTreeArchive
a = PyBspTreeArchive(3, minimizeObjective1=False, minimizeObjective2=False, minimizeObjective3=True)
a.process([1,2,3])
# True (is non-dominated)
a.process([1,2,3])
# True (is non-dominated)
a.process([1,3,3])
# True (is non-dominated)
a.process([1,1,2])
# True (is non-dominated)
print(a.size()) # get the number of non-dominates solutions
# 2
print(a.points()) # get the non-dominated solutions
# [[1.0, 3.0, 3.0], [1.0, 1.0, 2.0]]
Single-line example:
print(PyBspTreeArchive(2, minimizeObjective1=True, minimizeObjective2=False).filter(
[[2,4], [3,1], [2,1], [1,1]], sortKey=lambda itm: itm[0]
) #process the array and sort the result by first objective (useful for plotting)
# [[1.0, 1.0], [2.0, 4.0]]
Return indexes of the elements:
a = PyBspTreeArchive(3, minimizeObjective1=True, minimizeObjective2=False)
print(a.process([1,3,3], returnId=True))
# (True, 0) (is non-dominated, received ID 0)
print(a.process([1,2,3], returnId=True))
# (False, 1) (is dominated, received ID 1)
print(a.process([1,1,2], returnId=True))
# (True, 2) (is non-dominated, received ID 2)
print(a.points(returnIds=True))
# [0,2] (item with ID 0 and 2 are non-dominated)
print(a.points())
# [[1.0, 3.0, 3.0], [1.0, 1.0, 2.0]]
Custom IDs:
a = PyBspTreeArchive(3, minimizeObjective1=True, minimizeObjective2=False)
print(a.process([1,2,3], customId=10))
# True
print(a.process([1,3,3], customId=20))
# True
print(a.process([1,1,2], customId=30))
# True
print(a.points(returnIds=True))
# [20,30]
Pruning of the set of non-dominated solutions specifying data resolution:
def resample(val, resolution=0.01):
return round(val / resolution)*resolution
pf = PyBspTreeArchive(4)
for i, x in enumerate(dataset):
pf.process( ( resample(math.log10(x['wce']),0.001), #resolution is 0.001
resample(x['area'],10), #values can be only multiples of 10
resample(x['pwr'],0.1), #resolution is 0.1
resample(x['time'],0.1) #resolution is 0.1
), customId=i) #customId may be omitted, there is an internal counter initialized to 0
indexes = pf.points(returnIds=True)
print([dataset[i]['wce'] for i in indexes])
SOURCE
- Tobias Glasmachers: A Fast Incremental BSP Tree Archive for Non-dominated Points
- Similar problem (SKYLINE) https://github.com/sean-chester/SkyBench