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Merge pull request #117 from ljvmiranda921/add-topologies
Add Topologies class
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""" | ||
The :code:`pyswarms.backend.topology` contains various topologies that dictate | ||
particle behavior. These topologies implement three methods: | ||
- compute_best_particle(): gets the position and cost of the best particle in the swarm | ||
- update_velocity(): updates the velocity-matrix depending on the topology. | ||
- update_position(): updates the position-matrix depending on the topology. | ||
""" | ||
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from .star import Star | ||
from .ring import Ring | ||
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__all__ = [ | ||
"Star", | ||
"Ring" | ||
] |
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# -*- coding: utf-8 -*- | ||
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""" | ||
Base class for Topologies | ||
""" | ||
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class Topology(object): | ||
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def __init__(self, **kwargs): | ||
"""Initializes the class""" | ||
pass | ||
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def compute_gbest(self, swarm): | ||
"""Computes the best particle of the swarm and returns the cost and | ||
position""" | ||
raise NotImplementedError("Topology::compute_gbest()") | ||
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def compute_position(self, swarm): | ||
"""Updates the swarm's position-matrix""" | ||
raise NotImplementedError("Topology::compute_position()") | ||
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def compute_velocity(self, swarm): | ||
"""Updates the swarm's velocity-matrix""" | ||
raise NotImplementedError("Topology::compute_velocity()") |
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# -*- coding: utf-8 -*- | ||
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""" | ||
A Ring Network Topology | ||
This class implements a star topology where all particles are connected in a | ||
ring-like fashion. This social behavior is often found in LocalBest PSO | ||
optimizers. | ||
""" | ||
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# Import from stdlib | ||
import logging | ||
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# Import modules | ||
import numpy as np | ||
from scipy.spatial import cKDTree | ||
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# Import from package | ||
from .. import operators as ops | ||
from .base import Topology | ||
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# Create a logger | ||
logger = logging.getLogger(__name__) | ||
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class Ring(Topology): | ||
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def __init__(self): | ||
super(Ring, self).__init__() | ||
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def compute_gbest(self, swarm, p, k): | ||
"""Updates the global best using a neighborhood approach | ||
This uses the cKDTree method from :code:`scipy` to obtain the nearest | ||
neighbours | ||
Parameters | ||
---------- | ||
swarm : pyswarms.backend.swarms.Swarm | ||
a Swarm instance | ||
k : int | ||
number of neighbors to be considered. Must be a | ||
positive integer less than :code:`n_particles` | ||
p: int {1,2} | ||
the Minkowski p-norm to use. 1 is the | ||
sum-of-absolute values (or L1 distance) while 2 is | ||
the Euclidean (or L2) distance. | ||
Returns | ||
------- | ||
numpy.ndarray | ||
Best position of shape :code:`(n_dimensions, )` | ||
float | ||
Best cost | ||
""" | ||
try: | ||
# Obtain the nearest-neighbors for each particle | ||
tree = cKDTree(swarm.position) | ||
_, idx = tree.query(swarm.position, p=p, k=k) | ||
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# Map the computed costs to the neighbour indices and take the | ||
# argmin. If k-neighbors is equal to 1, then the swarm acts | ||
# independently of each other. | ||
if k == 1: | ||
# The minimum index is itself, no mapping needed. | ||
best_neighbor = swarm.pbest_cost[idx][:, np.newaxis].argmin(axis=1) | ||
else: | ||
idx_min = swarm.pbest_cost[idx].argmin(axis=1) | ||
best_neighbor = idx[np.arange(len(idx)), idx_min] | ||
# Obtain best cost and position | ||
best_cost = np.min(swarm.pbest_cost[best_neighbor]) | ||
best_pos = swarm.pbest_pos[np.argmin(swarm.pbest_cost[best_neighbor])] | ||
except AttributeError: | ||
msg = 'Please pass a Swarm class. You passed {}'.format(type(swarm)) | ||
logger.error(msg) | ||
raise | ||
else: | ||
return (best_pos, best_cost) | ||
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def compute_velocity(self, swarm, clamp): | ||
"""Computes the velocity matrix | ||
This method updates the velocity matrix using the best and current | ||
positions of the swarm. The velocity matrix is computed using the | ||
cognitive and social terms of the swarm. | ||
A sample usage can be seen with the following: | ||
.. code-block :: python | ||
import pyswarms.backend as P | ||
from pyswarms.swarms.backend import Swarm | ||
from pyswarms.backend.topology import Star | ||
my_swarm = P.create_swarm(n_particles, dimensions) | ||
my_topology = Ring() | ||
for i in range(iters): | ||
# Inside the for-loop | ||
my_swarm.velocity = my_topology.update_velocity(my_swarm, clamp) | ||
Parameters | ||
---------- | ||
swarm : pyswarms.backend.swarms.Swarm | ||
a Swarm instance | ||
clamp : tuple of floats (default is :code:`None`) | ||
a tuple of size 2 where the first entry is the minimum velocity | ||
and the second entry is the maximum velocity. It | ||
sets the limits for velocity clamping. | ||
Returns | ||
------- | ||
numpy.ndarray | ||
Updated velocity matrix | ||
""" | ||
return ops.compute_velocity(swarm, clamp) | ||
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def compute_position(self, swarm, bounds): | ||
"""Updates the position matrix | ||
This method updates the position matrix given the current position and | ||
the velocity. If bounded, it waives updating the position. | ||
Parameters | ||
---------- | ||
swarm : pyswarms.backend.swarms.Swarm | ||
a Swarm instance | ||
bounds : tuple of :code:`np.ndarray` or list (default is :code:`None`) | ||
a tuple of size 2 where the first entry is the minimum bound while | ||
the second entry is the maximum bound. Each array must be of shape | ||
:code:`(dimensions,)`. | ||
Returns | ||
------- | ||
numpy.ndarray | ||
New position-matrix | ||
""" | ||
return ops.compute_position(swarm, bounds) |
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