From ac90c706868c0df07ec1ab98a6d70ee953c9f578 Mon Sep 17 00:00:00 2001 From: linlin Date: Mon, 19 Oct 2020 15:26:54 +0200 Subject: [PATCH] New translations conjugate_gradient.py (Chinese Simplified) --- lang/zh/gklearn/kernels/conjugate_gradient.py | 322 ++++++++++++++++++++++++++ 1 file changed, 322 insertions(+) create mode 100644 lang/zh/gklearn/kernels/conjugate_gradient.py diff --git a/lang/zh/gklearn/kernels/conjugate_gradient.py b/lang/zh/gklearn/kernels/conjugate_gradient.py new file mode 100644 index 0000000..68c75a8 --- /dev/null +++ b/lang/zh/gklearn/kernels/conjugate_gradient.py @@ -0,0 +1,322 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Thu Aug 20 16:09:51 2020 + +@author: ljia + +@references: + + [1] S Vichy N Vishwanathan, Nicol N Schraudolph, Risi Kondor, and Karsten M Borgwardt. Graph kernels. Journal of Machine Learning Research, 11(Apr):1201–1242, 2010. +""" + +import sys +from tqdm import tqdm +import numpy as np +import networkx as nx +from scipy.sparse import identity +from scipy.sparse.linalg import cg +from gklearn.utils.parallel import parallel_gm, parallel_me +from gklearn.kernels import RandomWalkMeta +from gklearn.utils.utils import compute_vertex_kernels + + +class ConjugateGradient(RandomWalkMeta): + + + def __init__(self, **kwargs): + super().__init__(**kwargs) + self._node_kernels = kwargs.get('node_kernels', None) + self._edge_kernels = kwargs.get('edge_kernels', None) + self._node_labels = kwargs.get('node_labels', []) + self._edge_labels = kwargs.get('edge_labels', []) + self._node_attrs = kwargs.get('node_attrs', []) + self._edge_attrs = kwargs.get('edge_attrs', []) + + + def _compute_gm_series(self): + self._check_edge_weight(self._graphs, self._verbose) + self._check_graphs(self._graphs) + + lmda = self._weight + + # Compute Gram matrix. + gram_matrix = np.zeros((len(self._graphs), len(self._graphs))) + + # Reindex nodes using consecutive integers for the convenience of kernel computation. + if self._verbose >= 2: + iterator = tqdm(self._graphs, desc='Reindex vertices', file=sys.stdout) + else: + iterator = self._graphs + self._graphs = [nx.convert_node_labels_to_integers(g, first_label=0, label_attribute='label_orignal') for g in iterator] + + if self._p is None and self._q is None: # p and q are uniform distributions as default. + + from itertools import combinations_with_replacement + itr = combinations_with_replacement(range(0, len(self._graphs)), 2) + if self._verbose >= 2: + iterator = tqdm(itr, desc='Computing kernels', file=sys.stdout) + else: + iterator = itr + + for i, j in iterator: + kernel = self._kernel_do(self._graphs[i], self._graphs[j], lmda) + gram_matrix[i][j] = kernel + gram_matrix[j][i] = kernel + + else: # @todo + pass + + return gram_matrix + + + def _compute_gm_imap_unordered(self): + self._check_edge_weight(self._graphs, self._verbose) + self._check_graphs(self._graphs) + + # Compute Gram matrix. + gram_matrix = np.zeros((len(self._graphs), len(self._graphs))) + + # @todo: parallel this. + # Reindex nodes using consecutive integers for the convenience of kernel computation. + if self._verbose >= 2: + iterator = tqdm(self._graphs, desc='Reindex vertices', file=sys.stdout) + else: + iterator = self._graphs + self._graphs = [nx.convert_node_labels_to_integers(g, first_label=0, label_attribute='label_orignal') for g in iterator] + + if self._p is None and self._q is None: # p and q are uniform distributions as default. + + def init_worker(gn_toshare): + global G_gn + G_gn = gn_toshare + + do_fun = self._wrapper_kernel_do + + parallel_gm(do_fun, gram_matrix, self._graphs, init_worker=init_worker, + glbv=(self._graphs,), n_jobs=self._n_jobs, verbose=self._verbose) + + else: # @todo + pass + + return gram_matrix + + + def _compute_kernel_list_series(self, g1, g_list): + self._check_edge_weight(g_list + [g1], self._verbose) + self._check_graphs(g_list + [g1]) + + lmda = self._weight + + # compute kernel list. + kernel_list = [None] * len(g_list) + + # Reindex nodes using consecutive integers for the convenience of kernel computation. + g1 = nx.convert_node_labels_to_integers(g1, first_label=0, label_attribute='label_orignal') + if self._verbose >= 2: + iterator = tqdm(g_list, desc='Reindex vertices', file=sys.stdout) + else: + iterator = g_list + g_list = [nx.convert_node_labels_to_integers(g, first_label=0, label_attribute='label_orignal') for g in iterator] + + if self._p is None and self._q is None: # p and q are uniform distributions as default. + + if self._verbose >= 2: + iterator = tqdm(range(len(g_list)), desc='Computing kernels', file=sys.stdout) + else: + iterator = range(len(g_list)) + + for i in iterator: + kernel = self._kernel_do(g1, g_list[i], lmda) + kernel_list[i] = kernel + + else: # @todo + pass + + return kernel_list + + + def _compute_kernel_list_imap_unordered(self, g1, g_list): + self._check_edge_weight(g_list + [g1], self._verbose) + self._check_graphs(g_list + [g1]) + + # compute kernel list. + kernel_list = [None] * len(g_list) + + # Reindex nodes using consecutive integers for the convenience of kernel computation. + g1 = nx.convert_node_labels_to_integers(g1, first_label=0, label_attribute='label_orignal') + # @todo: parallel this. + if self._verbose >= 2: + iterator = tqdm(g_list, desc='Reindex vertices', file=sys.stdout) + else: + iterator = g_list + g_list = [nx.convert_node_labels_to_integers(g, first_label=0, label_attribute='label_orignal') for g in iterator] + + if self._p is None and self._q is None: # p and q are uniform distributions as default. + + def init_worker(g1_toshare, g_list_toshare): + global G_g1, G_g_list + G_g1 = g1_toshare + G_g_list = g_list_toshare + + do_fun = self._wrapper_kernel_list_do + + def func_assign(result, var_to_assign): + var_to_assign[result[0]] = result[1] + itr = range(len(g_list)) + len_itr = len(g_list) + parallel_me(do_fun, func_assign, kernel_list, itr, len_itr=len_itr, + init_worker=init_worker, glbv=(g1, g_list), method='imap_unordered', + n_jobs=self._n_jobs, itr_desc='Computing kernels', verbose=self._verbose) + + else: # @todo + pass + + return kernel_list + + + def _wrapper_kernel_list_do(self, itr): + return itr, self._kernel_do(G_g1, G_g_list[itr], self._weight) + + + def _compute_single_kernel_series(self, g1, g2): + self._check_edge_weight([g1] + [g2], self._verbose) + self._check_graphs([g1] + [g2]) + + lmda = self._weight + + # Reindex nodes using consecutive integers for the convenience of kernel computation. + g1 = nx.convert_node_labels_to_integers(g1, first_label=0, label_attribute='label_orignal') + g2 = nx.convert_node_labels_to_integers(g2, first_label=0, label_attribute='label_orignal') + + if self._p is None and self._q is None: # p and q are uniform distributions as default. + kernel = self._kernel_do(g1, g2, lmda) + + else: # @todo + pass + + return kernel + + + def _kernel_do(self, g1, g2, lmda): + + # Frist, compute kernels between all pairs of nodes using the method borrowed + # from FCSP. It is faster than directly computing all edge kernels + # when $d_1d_2>2$, where $d_1$ and $d_2$ are vertex degrees of the + # graphs compared, which is the most case we went though. For very + # sparse graphs, this would be slow. + vk_dict = self._compute_vertex_kernels(g1, g2) + + # Compute the weight matrix of the direct product graph. + w_times, w_dim = self._compute_weight_matrix(g1, g2, vk_dict) + # use uniform distribution if there is no prior knowledge. + p_times_uni = 1 / w_dim + A = identity(w_times.shape[0]) - w_times * lmda + b = np.full((w_dim, 1), p_times_uni) + x, _ = cg(A, b) + # use uniform distribution if there is no prior knowledge. + q_times = np.full((1, w_dim), p_times_uni) + return np.dot(q_times, x) + + + def _wrapper_kernel_do(self, itr): + i = itr[0] + j = itr[1] + return i, j, self._kernel_do(G_gn[i], G_gn[j], self._weight) + + + def _func_fp(x, p_times, lmda, w_times): + haha = w_times * x + haha = lmda * haha + haha = p_times + haha + return p_times + lmda * np.dot(w_times, x) + + + def _compute_vertex_kernels(self, g1, g2): + """Compute vertex kernels between vertices of two graphs. + """ + return compute_vertex_kernels(g1, g2, self._node_kernels, node_labels=self._node_labels, node_attrs=self._node_attrs) + + + # @todo: move if out to make it faster. + # @todo: node/edge kernels use direct function rather than dicts. + def _compute_weight_matrix(self, g1, g2, vk_dict): + """Compute the weight matrix of the direct product graph. + """ + # Define edge kernels. + def compute_ek_11(e1, e2, ke): + e1_labels = [e1[2][el] for el in self._edge_labels] + e2_labels = [e2[2][el] for el in self._edge_labels] + e1_attrs = [e1[2][ea] for ea in self._edge_attrs] + e2_attrs = [e2[2][ea] for ea in self._edge_attrs] + return ke(e1_labels, e2_labels, e1_attrs, e2_attrs) + + def compute_ek_10(e1, e2, ke): + e1_labels = [e1[2][el] for el in self._edge_labels] + e2_labels = [e2[2][el] for el in self._edge_labels] + return ke(e1_labels, e2_labels) + + def compute_ek_01(e1, e2, ke): + e1_attrs = [e1[2][ea] for ea in self._edge_attrs] + e2_attrs = [e2[2][ea] for ea in self._edge_attrs] + return ke(e1_attrs, e2_attrs) + + def compute_ek_00(e1, e2, ke): + return 1 + + # Select the proper edge kernel. + if len(self._edge_labels) > 0: + # edge symb and non-synb labeled + if len(self._edge_attrs) > 0: + ke = self._edge_kernels['mix'] + ek_temp = compute_ek_11 + # edge symb labeled + else: + ke = self._edge_kernels['symb'] + ek_temp = compute_ek_10 + else: + # edge non-synb labeled + if len(self._edge_attrs) > 0: + ke = self._edge_kernels['nsymb'] + ek_temp = compute_ek_01 + # edge unlabeled + else: + ke = None + ek_temp = compute_ek_00 # @todo: check how much slower is this. + + # Compute the weight matrix. + w_dim = nx.number_of_nodes(g1) * nx.number_of_nodes(g2) + w_times = np.zeros((w_dim, w_dim)) + + if vk_dict: # node labeled + if self._ds_infos['directed']: + for e1 in g1.edges(data=True): + for e2 in g2.edges(data=True): + w_idx = (e1[0] * nx.number_of_nodes(g2) + e2[0], e1[1] * nx.number_of_nodes(g2) + e2[1]) + w_times[w_idx] = vk_dict[(e1[0], e2[0])] * ek_temp(e1, e2, ke) * vk_dict[(e1[1], e2[1])] + else: # undirected + for e1 in g1.edges(data=True): + for e2 in g2.edges(data=True): + w_idx = (e1[0] * nx.number_of_nodes(g2) + e2[0], e1[1] * nx.number_of_nodes(g2) + e2[1]) + w_times[w_idx] = vk_dict[(e1[0], e2[0])] * ek_temp(e1, e2, ke) * vk_dict[(e1[1], e2[1])] + vk_dict[(e1[0], e2[1])] * ek_temp(e1, e2, ke) * vk_dict[(e1[1], e2[0])] + w_times[w_idx[1], w_idx[0]] = w_times[w_idx[0], w_idx[1]] + w_idx2 = (e1[0] * nx.number_of_nodes(g2) + e2[1], e1[1] * nx.number_of_nodes(g2) + e2[0]) + w_times[w_idx2[0], w_idx2[1]] = w_times[w_idx[0], w_idx[1]] + w_times[w_idx2[1], w_idx2[0]] = w_times[w_idx[0], w_idx[1]] + else: # node unlabeled + if self._ds_infos['directed']: + for e1 in g1.edges(data=True): + for e2 in g2.edges(data=True): + w_idx = (e1[0] * nx.number_of_nodes(g2) + e2[0], e1[1] * nx.number_of_nodes(g2) + e2[1]) + w_times[w_idx] = ek_temp(e1, e2, ke) + else: # undirected + for e1 in g1.edges(data=True): + for e2 in g2.edges(data=True): + w_idx = (e1[0] * nx.number_of_nodes(g2) + e2[0], e1[1] * nx.number_of_nodes(g2) + e2[1]) + w_times[w_idx] = ek_temp(e1, e2, ke) + w_times[w_idx[1], w_idx[0]] = w_times[w_idx[0], w_idx[1]] + w_idx2 = (e1[0] * nx.number_of_nodes(g2) + e2[1], e1[1] * nx.number_of_nodes(g2) + e2[0]) + w_times[w_idx2[0], w_idx2[1]] = w_times[w_idx[0], w_idx[1]] + w_times[w_idx2[1], w_idx2[0]] = w_times[w_idx[0], w_idx[1]] + + return w_times, w_dim