import numpy as np import scipy.sparse as sp def sparse_to_tuple(sparse_mx): #判断是否是coo_matrix,不是的话就转成coo_matrix if not sp.isspmatrix_coo(sparse_mx): sparse_mx = sparse_mx.tocoo() coords = np.vstack((sparse_mx.row, sparse_mx.col)).transpose() values = sparse_mx.data shape = sparse_mx.shape return coords, values, shape def preprocess_graph(adj): # A.sum(axis=1):计算矩阵的每一行元素之和,得到节点的度矩阵D # np.power(x, n):数组元素求n次方,得到D^(-1/2) # sp.diags()函数根据给定的对象创建对角矩阵,对角线上的元素为给定对象中的元素 adj = sp.coo_matrix(adj) adj_ = adj + sp.eye(adj.shape[0])#A* = A+I,即对邻接矩阵加入自连接 rowsum = np.array(adj_.sum(1))#对行求和,即得到节点的度 degree_mat_inv_sqrt = sp.diags(np.power(rowsum, -0.5).flatten())#得到D的-1/2次方矩阵d adj_normalized = adj_.dot(degree_mat_inv_sqrt).transpose().dot(degree_mat_inv_sqrt).tocoo()#这一步的实质是做归一化,即A* × d转置 × d return sparse_to_tuple(adj_normalized) def construct_feed_dict(adj_normalized, adj, features, placeholders): # construct feed dictionary # .update()用法就是将()内的字段增加到dict当中 feed_dict = dict()#创建一个空字典 feed_dict.update({placeholders['features']: features}) feed_dict.update({placeholders['adj']: adj_normalized}) feed_dict.update({placeholders['adj_orig']: adj}) return feed_dict def mask_test_edges(adj): # Function to build test set with 10% positive links # NOTE: Splits are randomized and results might slightly deviate from reported numbers in the paper. # TODO: Clean up. # sp.matrix(data,offsets)是将data的元素每列的元素,按offset里的顺序在列上进行重新排列,offset里的值是偏移量 # 具体可以参考https://blog.csdn.net/ChenglinBen/article/details/84424379 # .diagonal()就是提取对角线元素 # Remove diagonal elements删除对角线元素 adj = adj - sp.dia_matrix((adj.diagonal()[np.newaxis, :], [0]), shape=adj.shape) #把零元素都消除掉 adj.eliminate_zeros() # Check that diag is zero: # np.diag(matrix)即提取matrix的对角线元素,todense() like toarray(),区别是一个是将存储方式由稀疏矩阵转成正常矩阵,另一个是转成array # assert检查是否对角线元素是否都被清空了 assert np.diag(adj.todense()).sum() == 0 # sp.triu(matrix)获取matrix的上三角矩阵,相应的,tril()是获取下三角矩阵 adj_triu = sp.triu(adj) adj_tuple = sparse_to_tuple(adj_triu) # edges相当于组合,因为是上三角矩阵的edge,所以减少了一半的重复量,(4.6)与(6,4)不会同时存在,而只会保留(4,6) # edges_all相当于排列,就都包含了 edges = adj_tuple[0] edges_all = sparse_to_tuple(adj)[0] # 取edge的10%作为test # 取edge的20%作为val num_test = int(np.floor(edges.shape[0] / 10.)) num_val = int(np.floor(edges.shape[0] / 20.)) # 随机选取一部分作为test与val all_edge_idx = list(range(edges.shape[0])) np.random.shuffle(all_edge_idx) val_edge_idx = all_edge_idx[:num_val] test_edge_idx = all_edge_idx[num_val:(num_val + num_test)] test_edges = edges[test_edge_idx] val_edges = edges[val_edge_idx] train_edges = np.delete(edges, np.hstack([test_edge_idx, val_edge_idx]), axis=0) # 该函数请参考github中gae的写法,应该是更新了,这种方法应该是错的,或者说与python3不兼容 # 其中,return部分或许应该改成np.any(rows_close) def ismember(a, b, tol=5): # 该函数的作用就是判断a元素是否存在于b集合中 rows_close = np.all(np.round(a - b[:, None], tol) == 0, axis=-1) return np.any(rows_close) #return (np.all(np.any(rows_close, axis=-1), axis=-1) and #np.all(np.any(rows_close, axis=0), axis=0)) # test_edges_false是去生成一些本来就不存在的edges test_edges_false = [] while len(test_edges_false) < len(test_edges): idx_i = np.random.randint(0, adj.shape[0]) idx_j = np.random.randint(0, adj.shape[0]) if idx_i == idx_j: continue if ismember([idx_i, idx_j], edges_all): continue if test_edges_false: if ismember([idx_j, idx_i], np.array(test_edges_false)): continue if ismember([idx_i, idx_j], np.array(test_edges_false)): continue test_edges_false.append([idx_i, idx_j]) # val_edges_false生成一些不存在于train与val的edges val_edges_false = [] while len(val_edges_false) < len(val_edges): idx_i = np.random.randint(0, adj.shape[0]) idx_j = np.random.randint(0, adj.shape[0]) if idx_i == idx_j: continue if ismember([idx_i, idx_j], train_edges): continue if ismember([idx_j, idx_i], train_edges): continue if ismember([idx_i, idx_j], val_edges): continue if ismember([idx_j, idx_i], val_edges): continue if val_edges_false: if ismember([idx_j, idx_i], np.array(val_edges_false)): continue if ismember([idx_i, idx_j], np.array(val_edges_false)): continue val_edges_false.append([idx_i, idx_j]) assert ~ismember(test_edges_false, edges_all) assert ~ismember(val_edges_false, edges_all) assert ~ismember(val_edges, train_edges) assert ~ismember(test_edges, train_edges) assert ~ismember(val_edges, test_edges) data = np.ones(train_edges.shape[0]) # Re-build adj matrix # 如英文注释所说,这里将处理好的train_edges再重建出adj_train adj_train = sp.csr_matrix((data, (train_edges[:, 0], train_edges[:, 1])), shape=adj.shape) adj_train = adj_train + adj_train.T # NOTE: these edge lists only contain single direction of edge! return adj_train, train_edges, val_edges, val_edges_false, test_edges, test_edges_false