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knnclassifier.py
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130 lines (99 loc) · 4.04 KB
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# encoding=utf8
import numpy as np
import sys
def euclid(a, b):
return np.sqrt(sum(np.power(a - b, 2)))
class Node(object):
def __init__(self, val=None, dimension=None, left=None, right=None):
self.val = val
self.dimension = dimension
self.left = left
self.right = right
def is_parent(self):
return (self.left or self.right) != None
def compare(self, x):
return self.val[self.dimension] - x[self.dimension]
def __repr__(self):
return self.val.__str__()
class KdTree(object):
def __init__(self, X, dist=euclid):
self.root = self.build(X)
self.dist = dist
def build(self, X, depth=0):
if len(X) == 0:
return None
depth = depth % len(X[0])
if len(X) == 1:
return Node(val=X[0], dimension=depth)
indices = np.argsort(X[:, depth], axis=0)
median_index = len(indices) / 2
median = indices[median_index]
left_indices = indices[:median_index]
right_indices = indices[median_index + 1:]
root = Node(val=X[median], dimension=depth)
root.left = self.build(X[left_indices], depth + 1)
root.right = self.build(X[right_indices], depth + 1)
return root
def find_nearest(self, x):
return self._find_nearest(x, self.root)
def _find_nearest(self, x, node):
if node == None:
return
search_paths = []
while node:
search_paths.append(node)
node = node.left or node.right if node.compare(
x) > 0 else node.right or node.left
child_node = closest_node = search_paths.pop()
min_dist = self.dist(x, closest_node.val)
while len(search_paths) > 0:
parent_node = search_paths.pop()
d = self.dist(x, parent_node.val)
if d < min_dist:
min_dist = d
child_node = closest_node
closest_node = parent_node
if np.abs(parent_node.compare(x)) < min_dist:
sibling = parent_node.right if parent_node.compare(
child_node.val) > 0 else parent_node.left
if sibling != None:
s_dist, s_node = self._find_nearest(x, sibling)
if s_dist < min_dist:
min_dist = s_dist
child_node = closest_node
closest_node = s_node
return min_dist, closest_node
def draw(self, node, depth=0):
if node is None:
return ''
print ' ' * 5 * depth, node.val
if node.left != None:
print ' ' * 5 * depth, 'left', self.draw(node.left, depth + 1)
if node.right != None:
print ' ' * 5 * depth, 'right', self.draw(node.right, depth + 1)
return ''
class KNNClassifier():
def __init__(self, k=1, dist=euclid):
self.k = k
self.dist = dist
self.kd_tree = None
def fit(self, X, Y):
self.kd_tree = KdTree(X)
def predict(self, x):
self.kd_tree
if __name__ == '__main__':
X = np.array([[2, 3], [5, 4], [9, 6], [4, 7], [8, 1], [7, 2]])
dist = euclid
target = [2, 0]
# print get_nearest(tree, target)
targets = [[1, 2], [2, 3], [3, 4], [5, 6], [7, 8],
[9, 10], [1, 1], [9, 8], [8, 6], [7, 4], [6, 3], [11, 0], [4, 2], [5, 1], [3, 8], [12, 1], [15, -1]]
X2 = np.array(
[[0, 1, 1], [100, 100, 100], [9, 8, 11], [9, 7, 1], [5, 9, 1], [2, 3, 9], [4, 3, 19], [2, 9, 93], [92, 32, 1], [23, 98, 67], [6, 8, 26], [23, 22, 0], [2, 9, 12], [8, 4, 1], [6, 3, 9], [2, 3, 4], [4, 5, 7], [2, 9, 10], [0, 9, 20], [9, 8, 1], [9, 1, 1]])
targets2 = [
[1, 1, 9], [4, 9, 1], [3, 2, 3], [3, 0, 2], [0, 8, 6], [
8, 4, 8], [20, 1, 10], [9, 11, 11], [100, 299, 28],
[8, 9, 12], [1, 8, 1], [6, 5, 9], [2, 4, 4], [3, 2, 9], [0, 8, 6], [9, 2, 3], [9, 8, 2], [7, 9, 3], [0, 2, 1], [2, 3, 5]]
tree = KdTree(X2)
print tree.draw(tree.root)
print tree.find_nearest([9, 2, 3])