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Graph.py
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Graph.py
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import numpy as np
class Graph():
'''The class to generate the graph of the given joints'''
def __init__(self,
max_hop=1,
strategy='uniform',
dilation=1,
mode = 'Simple'):
self.max_hop = max_hop
self.dilation = dilation
self.mode = mode
self.get_edge()
self.hop_dis = self.get_hop_distance(self.num_node, self.edge, max_hop=max_hop)
self.get_adjacency(strategy)
def get_edge(self):
if self.mode == 'Prior':
self.num_node = 8
self_link = [(i, i) for i in range(self.num_node)]
neighbor_link = [(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 4), (1, 5), (1, 6),
(1, 7), (3, 2), (3, 4), (3, 5), (3, 6), (3, 7)]
self.edge = self_link + neighbor_link
self.center = 1
if self.mode == 'Full':
self.num_node = 8
self_link = [(i, i) for i in range(self.num_node)]
neighbor_link = [(i, j) for i in range(self.num_node) for j in range(self.num_node)]
self.edge = neighbor_link # self_link
self.center = 1
if self.mode == 's0':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 3) and (j == 0 or j == 1 or j == 3):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's1':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 3) and (j == 0 or j == 3):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's2':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1) and (j == 0 or j == 1):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's3':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0) and (j == 0):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's4':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 7) and (j == 0 or j == 1 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's5':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 6) and (j == 0 or j == 1 or j == 6):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's6':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 6) and (j == 0 or j == 6):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's7':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 2) and (j == 0 or j == 1 or j == 2):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's8':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 2) and (j == 0 or j == 2):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's9':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 5) and (j == 0 or j == 5):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's10':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 5) and (j == 0 or j == 1 or j == 5):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's11':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 4) and (j == 0 or j == 4):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's12':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 7) and (j == 0 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's13':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 4) and (j == 0 or j == 1 or j == 4):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's14':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 3 or i == 6) and (j == 0 or j == 3 or j == 6):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's15':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 6 or i == 7) and (j == 0 or j == 1 or j == 6 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's16':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 6 or i == 7) and (j == 0 or j == 6 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's17':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 2 or i == 6) and (j == 0 or j == 2 or j == 6):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's18':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 2 or i == 6 or i == 7) and (j == 0 or j == 2 or j == 6 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's19':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 2 or i == 6) and (j == 0 or j == 1 or j == 2 or j == 6):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's20':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 2 or i == 7) and (j == 0 or j == 1 or j == 2 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's21':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 2 or i == 7) and (j == 0 or j == 2 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's22':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 3 or i == 6) and (j == 0 or j == 1 or j == 3 or j == 6):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's23':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 1 or i == 3 or i == 7) and (j == 0 or j == 1 or j == 3 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's24':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 3 or i == 7) and (j == 0 or j == 3 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 's25':
self.num_node = 8
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if (i == 0 or i == 4 or i == 6 or i == 7) and (j == 0 or j == 4 or j == 6 or j == 7):
neighbor_link.append((i, j))
self.edge = neighbor_link
self.center = 1
if self.mode == 'Simple':
self.num_node = 8
self_link = [(i, i) for i in range(self.num_node)]
neighbor_link = []
for i in range(self.num_node):
for j in range(self.num_node):
if i !=j and (i == 0):
neighbor_link.append((i, j))
self.edge = self_link + neighbor_link
self.center = 1
def get_adjacency(self, strategy):
valid_hop = range(0, self.max_hop + 1, self.dilation)
adjacency = np.zeros((self.num_node, self.num_node))
for hop in valid_hop:
adjacency[self.hop_dis == hop] = 1
normalize_adjacency = self.normalize_digraph(adjacency)
if strategy == 'uniform':
A = np.zeros((1, self.num_node, self.num_node))
A[0] = normalize_adjacency
self.A = A
elif strategy == 'distance':
A = np.zeros((len(valid_hop), self.num_node, self.num_node))
for i, hop in enumerate(valid_hop):
A[i][self.hop_dis == hop] = normalize_adjacency[self.hop_dis == hop]
self.A = A
elif strategy == 'spatial':
A = []
for hop in valid_hop:
a_root = np.zeros((self.num_node, self.num_node))
a_close = np.zeros((self.num_node, self.num_node))
a_further = np.zeros((self.num_node, self.num_node))
for i in range(self.num_node):
for j in range(self.num_node):
if self.hop_dis[j, i] == hop:
if self.hop_dis[j, self.center] == self.hop_dis[
i, self.center]:
a_root[j, i] = normalize_adjacency[j, i]
elif self.hop_dis[j, self.
center] > self.hop_dis[i, self.
center]:
a_close[j, i] = normalize_adjacency[j, i]
else:
a_further[j, i] = normalize_adjacency[j, i]
if hop == 0:
A.append(a_root)
else:
A.append(a_root + a_close)
A.append(a_further)
A = np.stack(A)
self.A = A
else:
raise ValueError("Do Not Exist This Strategy")
def get_hop_distance(self, num_node, edge, max_hop=1):
A = np.zeros((num_node, num_node))
for i, j in edge:
A[j, i] = 1
A[i, j] = 1
# compute hop steps
hop_dis = np.zeros((num_node, num_node)) + np.inf
transfer_mat = [np.linalg.matrix_power(A, d) for d in range(max_hop + 1)]
arrive_mat = (np.stack(transfer_mat) > 0)
for d in range(max_hop, -1, -1):
hop_dis[arrive_mat[d]] = d
return hop_dis
def normalize_digraph(self,A):
Dl = np.sum(A, 0)
num_node = A.shape[0]
Dn = np.zeros((num_node, num_node))
for i in range(num_node):
if Dl[i] > 0:
Dn[i, i] = Dl[i]**(-1)
AD = np.dot(A, Dn)
return AD
def normalize_undigraph(self, A):
Dl = np.sum(A, 0)
num_node = A.shape[0]
Dn = np.zeros((num_node, num_node))
for i in range(num_node):
if Dl[i] > 0:
Dn[i, i] = Dl[i]**(-0.5)
DAD = np.dot(np.dot(Dn, A), Dn)
return DAD