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@ -1,161 +1,197 @@ |
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import pandas as pd |
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import numpy as np |
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import itertools |
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import networkx as nx |
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from networkx.readwrite import json_graph |
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import json |
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import typing |
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from scipy.stats import f as f_dist |
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from scipy.stats import chi2 as chi2_dist |
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import sample_path as sp |
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import structure as st |
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import network_graph as ng |
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import conditional_intensity_matrix as condim |
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import parameters_estimator as pe |
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import cache as ch |
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class StructureEstimator: |
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""" |
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Has the task of estimating the network structure given the trajectories in samplepath. |
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:sample_path: the sample_path object containing the trajectories and the real structure |
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:exp_test_sign: the significance level for the exponential Hp test |
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:chi_test_alfa: the significance level for the chi Hp test |
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:nodes: the nodes labels |
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:nodes_vals: the nodes cardinalities |
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:nodes_indxs: the nodes indexes |
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:complete_graph: the complete directed graph built using the nodes labels in nodes |
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:cache: the cache object |
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""" |
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def __init__(self, sample_path, exp_test_alfa, chi_test_alfa): |
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def __init__(self, sample_path: sp.SamplePath, exp_test_alfa: float, chi_test_alfa: float): |
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self.sample_path = sample_path |
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self.complete_graph_frame = self.build_complete_graph_frame(self.sample_path.structure.list_of_nodes_labels()) |
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self.complete_graph = self.build_complete_graph(self.sample_path.structure.list_of_nodes_labels()) |
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self.nodes = np.array(self.sample_path.structure.nodes_labels) |
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self.nodes_vals = self.sample_path.structure.nodes_values |
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self.nodes_indxs = self.sample_path.structure.nodes_indexes |
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self.complete_graph = self.build_complete_graph(self.sample_path.structure.nodes_labels) |
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self.exp_test_sign = exp_test_alfa |
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self.chi_test_alfa = chi_test_alfa |
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self.cache = ch.Cache() |
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def build_complete_graph_frame(self, node_ids): |
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complete_frame = pd.DataFrame(itertools.permutations(node_ids, 2)) |
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complete_frame.columns = ['From', 'To'] |
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return complete_frame |
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def build_complete_graph(self, node_ids: typing.List): |
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""" |
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Builds a complete directed graph (no self loops) given the nodes labels in the list node_ids: |
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def build_complete_graph(self, node_ids): |
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Parameters: |
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node_ids: the list of nodes labels |
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Returns: |
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a complete Digraph Object |
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""" |
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complete_graph = nx.DiGraph() |
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complete_graph.add_nodes_from(node_ids) |
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complete_graph.add_edges_from(itertools.permutations(node_ids, 2)) |
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return complete_graph |
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def complete_test(self, test_parent, test_child, parent_set): |
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def complete_test(self, test_parent: str, test_child: str, parent_set: typing.List, child_states_numb: int, |
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tot_vars_count: int): |
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""" |
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Permorms a complete independence test on the directed graphs G1 = test_child U parent_set |
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G2 = G1 U test_parent (added as an additional parent of the test_child). |
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Generates all the necessary structures and datas to perform the tests. |
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Parameters: |
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test_parent: the node label of the test parent |
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test_child: the node label of the child |
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parent_set: the common parent set |
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child_states_numb: the cardinality of the test_child |
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tot_vars_count_ the total number of variables in the net |
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Returns: |
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True iff test_child and test_parent are independent given the sep_set parent_set |
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False otherwise |
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""" |
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#print("Test Parent:", test_parent) |
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#print("Sep Set", parent_set) |
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p_set = parent_set[:] |
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complete_info = parent_set[:] |
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complete_info.append(test_parent) |
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tmp_df = self.complete_graph_frame.loc[self.complete_graph_frame['To'].isin([test_child])] |
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#tmp_df = self.complete_graph_frame.loc[np.in1d(self.complete_graph_frame['To'], test_child)] |
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d2 = tmp_df.loc[tmp_df['From'].isin(complete_info)] |
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complete_info.append(test_child) |
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v2 = self.sample_path.structure.variables_frame.loc[ |
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self.sample_path.structure.variables_frame['Name'].isin(complete_info)] |
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#print(tmp_df) |
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#d1 = tmp_df.loc[tmp_df['From'].isin(parent_set)] |
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#parent_set.append(test_child) |
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#print(parent_set) |
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"""v1 = self.sample_path.structure.variables_frame.loc[self.sample_path.structure.variables_frame['Name'].isin(parent_set)] |
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s1 = st.Structure(d1, v1, self.sample_path.total_variables_count) |
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g1 = ng.NetworkGraph(s1) |
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g1.init_graph()""" |
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#parent_set.append(test_parent) |
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"""d2 = tmp_df.loc[tmp_df['From'].isin(parent_set)] |
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v2 = self.sample_path.structure.variables_frame.loc[self.sample_path.structure.variables_frame['Name'].isin(parent_set)] |
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s2 = st.Structure(d2, v2, self.sample_path.total_variables_count) |
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g2 = ng.NetworkGraph(s2) |
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g2.init_graph()""" |
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#parent_set.append(test_child) |
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sofc1 = None |
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#if not sofc1: |
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if not p_set: |
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sofc1 = self.cache.find(test_child) |
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parents = np.array(parent_set) |
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parents = np.append(parents, test_parent) |
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#print("PARENTS", parents) |
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#parents.sort() |
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sorted_parents = self.nodes[np.isin(self.nodes, parents)] |
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#print("SORTED PARENTS", sorted_parents) |
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cims_filter = sorted_parents != test_parent |
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#print("PARENTS NO FROM MASK", cims_filter) |
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#if not p_set: |
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#print("EMPTY PSET TRYING TO FIND", test_child) |
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#sofc1 = self.cache.find(test_child) |
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#else: |
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sofc1 = self.cache.find(set(p_set)) |
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if not sofc1: |
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#d1 = tmp_df.loc[tmp_df['From'].isin(parent_set)] |
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d1 = d2[d2.From != test_parent] |
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#v1 = self.sample_path.structure.variables_frame.loc[ |
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#self.sample_path.structure.variables_frame['Name'].isin(parent_set)] |
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v1 = v2[v2.Name != test_parent] |
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#print("D1", d1) |
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#print("V1", v1) |
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s1 = st.Structure(d1, v1, self.sample_path.total_variables_count) |
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#print("CACHE MISSS SOFC1") |
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bool_mask1 = np.isin(self.nodes,complete_info) |
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#print("Bool mask 1", bool_mask1) |
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l1 = list(self.nodes[bool_mask1]) |
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#print("L1", l1) |
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indxs1 = self.nodes_indxs[bool_mask1] |
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#print("INDXS 1", indxs1) |
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vals1 = self.nodes_vals[bool_mask1] |
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eds1 = list(itertools.product(parent_set,test_child)) |
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s1 = st.Structure(l1, indxs1, vals1, eds1, tot_vars_count) |
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g1 = ng.NetworkGraph(s1) |
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g1.init_graph() |
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g1.fast_init(test_child) |
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p1 = pe.ParametersEstimator(self.sample_path, g1) |
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p1.init_sets_cims_container() |
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#print("Computing params for",test_child, test_parent, parent_set) |
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p1.compute_parameters_for_node(test_child) |
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sofc1 = p1.sets_of_cims_struct.sets_of_cims[s1.get_positional_node_indx(test_child)] |
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self.cache.put(test_child,sofc1) |
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p1.fast_init(test_child) |
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sofc1 = p1.compute_parameters_for_node(test_child) |
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#if not p_set: |
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#self.cache.put(test_child, sofc1) |
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#else: |
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self.cache.put(set(p_set), sofc1) |
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sofc2 = None |
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p_set.append(test_parent) |
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#p_set.append(test_parent) |
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p_set.insert(0, test_parent) |
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if p_set: |
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#print("FULL PSET TRYING TO FIND", p_set) |
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#p_set.append(test_parent) |
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#print("PSET ", p_set) |
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set_p_set = set(p_set) |
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sofc2 = self.cache.find(set_p_set) |
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#print("Sofc2 ", sofc2) |
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#set_p_set = set(p_set) |
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sofc2 = self.cache.find(set(p_set)) |
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#if sofc2: |
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#print("Sofc2 in CACHE ", sofc2.actual_cims) |
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#print(self.cache.list_of_sets_of_indxs) |
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"""p2 = pe.ParametersEstimator(self.sample_path, g2) |
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p2.init_sets_cims_container() |
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#p2.compute_parameters() |
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p2.compute_parameters_for_node(test_child) |
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sofc2 = p2.sets_of_cims_struct.sets_of_cims[s2.get_positional_node_indx(test_child)]""" |
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if not sofc2 or p_set: |
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print("Cache Miss SOC2") |
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#parent_set.append(test_parent) |
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#d2 = tmp_df.loc[tmp_df['From'].isin(p_set)] |
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#v2 = self.sample_path.structure.variables_frame.loc[ |
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#self.sample_path.structure.variables_frame['Name'].isin(parent_set)] |
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#print("D2", d2) |
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#print("V2", v2) |
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#s2 = st.Structure(d2, v2, self.sample_path.total_variables_count) |
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s2 = st.Structure(d2, v2, self.sample_path.total_variables_count) |
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if not sofc2: |
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#print("Cache MISSS SOFC2") |
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complete_info.append(test_parent) |
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bool_mask2 = np.isin(self.nodes, complete_info) |
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#print("BOOL MASK 2",bool_mask2) |
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l2 = list(self.nodes[bool_mask2]) |
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#print("L2", l2) |
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indxs2 = self.nodes_indxs[bool_mask2] |
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#print("INDXS 2", indxs2) |
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vals2 = self.nodes_vals[bool_mask2] |
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eds2 = list(itertools.product(p_set, test_child)) |
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s2 = st.Structure(l2, indxs2, vals2, eds2, tot_vars_count) |
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g2 = ng.NetworkGraph(s2) |
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g2.init_graph() |
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g2.fast_init(test_child) |
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p2 = pe.ParametersEstimator(self.sample_path, g2) |
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p2.init_sets_cims_container() |
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# p2.compute_parameters() |
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p2.compute_parameters_for_node(test_child) |
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sofc2 = p2.sets_of_cims_struct.sets_of_cims[s2.get_positional_node_indx(test_child)] |
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if p_set: |
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#set_p_set = set(p_set) |
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self.cache.put(set_p_set, sofc2) |
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end = 0 |
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increment = self.sample_path.structure.get_states_number(test_parent) |
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for cim1 in sofc1.actual_cims: |
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start = end |
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end = start + increment |
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for j in range(start, end): |
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p2.fast_init(test_child) |
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sofc2 = p2.compute_parameters_for_node(test_child) |
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self.cache.put(set(p_set), sofc2) |
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for cim1, p_comb in zip(sofc1.actual_cims, sofc1.p_combs): |
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#print("GETTING THIS P COMB", p_comb) |
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#if len(parent_set) > 1: |
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cond_cims = sofc2.filter_cims_with_mask(cims_filter, p_comb) |
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#else: |
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#cond_cims = sofc2.actual_cims |
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#print("COnd Cims", cond_cims) |
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for cim2 in cond_cims: |
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#cim2 = sofc2.actual_cims[j] |
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#print(indx) |
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#print("Run Test", i, j) |
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if not self.independence_test(test_child, cim1, sofc2.actual_cims[j]): |
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if not self.independence_test(child_states_numb, cim1, cim2): |
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return False |
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return True |
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def independence_test(self, tested_child, cim1, cim2): |
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# Fake exp test |
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r1s = cim1.state_transition_matrix.diagonal() |
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r2s = cim2.state_transition_matrix.diagonal() |
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F_stats = cim2.cim.diagonal() / cim1.cim.diagonal() |
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child_states_numb = self.sample_path.structure.get_states_number(tested_child) |
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for val in range(0, child_states_numb): # i possibili valori di tested child TODO QUESTO CONTO DEVE ESSERE VETTORIZZATO |
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#r1 = cim1.state_transition_matrix[val][val] |
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#r2 = cim2.state_transition_matrix[val][val] |
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#print("No Test Parent:",cim1.cim[val][val],"With Test Parent", cim2.cim[val][val]) |
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#F = cim2.cim[val][val] / cim1.cim[val][val] |
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#print("Exponential test", F_stats[val], r1s[val], r2s[val]) |
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#print(f_dist.ppf(1 - self.exp_test_sign / 2, r1, r2)) |
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#print(f_dist.ppf(self.exp_test_sign / 2, r1, r2)) |
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if F_stats[val] < f_dist.ppf(self.exp_test_sign / 2, r1s[val], r2s[val]) or \ |
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F_stats[val] > f_dist.ppf(1 - self.exp_test_sign / 2, r1s[val], r2s[val]): |
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print("CONDITIONALLY DEPENDENT EXP") |
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def independence_test(self, child_states_numb: int, cim1: condim.ConditionalIntensityMatrix, |
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cim2: condim.ConditionalIntensityMatrix): |
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""" |
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Compute the actual independence test using two cims. |
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It is performed first the exponential test and if the null hypothesis is not rejected, |
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it is permormed also the chi_test. |
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Parameters: |
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child_states_numb: the cardinality of the test child |
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cim1: a cim belonging to the graph without test parent |
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cim2: a cim belonging to the graph with test parent |
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Returns: |
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True iff both tests do NOT reject the null hypothesis of indipendence |
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False otherwise |
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""" |
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M1 = cim1.state_transition_matrix |
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M2 = cim2.state_transition_matrix |
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r1s = M1.diagonal() |
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r2s = M2.diagonal() |
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C1 = cim1.cim |
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C2 = cim2.cim |
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F_stats = C2.diagonal() / C1.diagonal() |
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exp_alfa = self.exp_test_sign |
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for val in range(0, child_states_numb): |
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if F_stats[val] < f_dist.ppf(exp_alfa / 2, r1s[val], r2s[val]) or \ |
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F_stats[val] > f_dist.ppf(1 - exp_alfa / 2, r1s[val], r2s[val]): |
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#print("CONDITIONALLY DEPENDENT EXP") |
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return False |
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# fake chi test |
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M1_no_diag = self.remove_diagonal_elements(cim1.state_transition_matrix) |
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M2_no_diag = self.remove_diagonal_elements(cim2.state_transition_matrix) |
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#print("M1 no diag", M1_no_diag) |
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#print("M2 no diag", M2_no_diag) |
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#M1_no_diag = self.remove_diagonal_elements(cim1.state_transition_matrix) |
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#M2_no_diag = self.remove_diagonal_elements(cim2.state_transition_matrix) |
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M1_no_diag = M1[~np.eye(M1.shape[0], dtype=bool)].reshape(M1.shape[0], -1) |
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M2_no_diag = M2[~np.eye(M2.shape[0], dtype=bool)].reshape( |
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M2.shape[0], -1) |
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chi_2_quantile = chi2_dist.ppf(1 - self.chi_test_alfa, child_states_numb - 1) |
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""" |
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Ks = np.sqrt(cim1.state_transition_matrix.diagonal() / cim2.state_transition_matrix.diagonal()) |
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@ -174,46 +210,52 @@ class StructureEstimator: |
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#print("Chi Quantile", chi_2_quantile) |
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if Chi > chi_2_quantile: |
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#if np.any(chi_stats > chi_2_quantile): |
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print("CONDITIONALLY DEPENDENT CHI") |
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#print("CONDITIONALLY DEPENDENT CHI") |
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return False |
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#print("Chi test", Chi) |
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return True |
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def one_iteration_of_CTPC_algorithm(self, var_id): |
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def one_iteration_of_CTPC_algorithm(self, var_id: str, tot_vars_count: int): |
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""" |
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Performs an iteration of the CTPC algorithm using the node var_id as test_child. |
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Parameters: |
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var_id: the node label of the test child |
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tot_vars_count: the number of nodes in the net |
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Returns: |
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void |
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""" |
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print("##################TESTING VAR################", var_id) |
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u = list(self.complete_graph.predecessors(var_id)) |
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tests_parents_numb = len(u) |
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#print(u) |
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#tests_parents_numb = len(u) |
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#complete_frame = self.complete_graph_frame |
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#test_frame = complete_frame.loc[complete_frame['To'].isin([var_id])] |
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child_states_numb = self.sample_path.structure.get_states_number(var_id) |
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b = 0 |
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#parent_indx = 0 |
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while b < len(u): |
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#for parent_id in u: |
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parent_indx = 0 |
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while u and parent_indx < tests_parents_numb and b < len(u): |
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# list_without_test_parent = u.remove(parent_id) |
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while parent_indx < len(u): |
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#print("Parent_indx",parent_indx) |
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#print("LEN U", len(u)) |
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removed = False |
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#print("b", b) |
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#print("Parent Indx", parent_indx) |
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#if not list(self.generate_possible_sub_sets_of_size(u, b, u[parent_indx])): |
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#break |
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S = self.generate_possible_sub_sets_of_size(u, b, u[parent_indx]) |
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#print("U Set", u) |
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#print("S", S) |
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test_parent = u[parent_indx] |
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#print("Test Parent", test_parent) |
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for parents_set in S: |
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#print("Parent Set", parents_set) |
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#print("Test Parent", u[parent_indx]) |
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if self.complete_test(u[parent_indx], var_id, parents_set): |
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#print("Removing EDGE:", u[parent_indx], var_id) |
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self.complete_graph.remove_edge(u[parent_indx], var_id) |
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#print(self.complete_graph_frame) |
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"""self.complete_graph_frame = \ |
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self.complete_graph_frame.drop( |
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self.complete_graph_frame[(self.complete_graph_frame.From == |
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u[parent_indx]) & (self.complete_graph_frame.To == var_id)].index)""" |
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self.complete_graph_frame.drop(self.complete_graph_frame[(self.complete_graph_frame.From == u[parent_indx]) & (self.complete_graph_frame.To == var_id)].index) |
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#print(self.complete_graph_frame) |
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#u.remove(u[parent_indx]) |
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del u[parent_indx] |
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|
#print("Test Parent", test_parent) |
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|
if self.complete_test(test_parent, var_id, parents_set, child_states_numb, tot_vars_count): |
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#print("Removing EDGE:", test_parent, var_id) |
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self.complete_graph.remove_edge(test_parent, var_id) |
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|
u.remove(test_parent) |
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removed = True |
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break |
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#else: |
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|
#parent_indx += 1 |
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|
if not removed: |
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|
@ -221,23 +263,55 @@ class StructureEstimator: |
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|
b += 1 |
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|
|
self.cache.clear() |
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|
def generate_possible_sub_sets_of_size(self, u, size, parent_id): |
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|
#print("Inside Generate subsets", u) |
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|
#print("InsideGenerate Subsets", parent_id) |
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|
|
def generate_possible_sub_sets_of_size(self, u: typing.List, size: int, parent_label: str): |
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|
|
""" |
|
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|
|
Creates a list containing all possible subsets of the list u of size size, |
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|
|
that do not contains a the node identified by parent_label. |
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|
|
|
Parameters: |
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|
|
u: the list of nodes |
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|
|
size: the size of the subsets |
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|
|
parent_label: the nodes to exclude in the subsets generation |
|
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|
|
Returns: |
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|
|
|
a Map Object containing a list of lists |
|
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|
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|
|
""" |
|
|
|
|
list_without_test_parent = u[:] |
|
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|
|
list_without_test_parent.remove(parent_id) |
|
|
|
|
# u.remove(parent_id) |
|
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|
|
#print(list(map(list, itertools.combinations(list_without_test_parent, size)))) |
|
|
|
|
list_without_test_parent.remove(parent_label) |
|
|
|
|
return map(list, itertools.combinations(list_without_test_parent, size)) |
|
|
|
|
|
|
|
|
|
def ctpc_algorithm(self): |
|
|
|
|
""" |
|
|
|
|
Compute the CTPC algorithm. |
|
|
|
|
Parameters: |
|
|
|
|
void |
|
|
|
|
Returns: |
|
|
|
|
void |
|
|
|
|
""" |
|
|
|
|
ctpc_algo = self.one_iteration_of_CTPC_algorithm |
|
|
|
|
total_vars_numb = self.sample_path.total_variables_count |
|
|
|
|
[ctpc_algo(n, total_vars_numb) for n in self.nodes] |
|
|
|
|
|
|
|
|
|
def save_results(self): |
|
|
|
|
""" |
|
|
|
|
Save the estimated Structure to a .json file |
|
|
|
|
|
|
|
|
|
Parameters: |
|
|
|
|
void |
|
|
|
|
Returns: |
|
|
|
|
void |
|
|
|
|
""" |
|
|
|
|
res = json_graph.node_link_data(self.complete_graph) |
|
|
|
|
name = self.sample_path.importer.file_path.rsplit('/',1)[-1] |
|
|
|
|
#print(name) |
|
|
|
|
name = 'results_' + name |
|
|
|
|
with open(name, 'w') as f: |
|
|
|
|
json.dump(res, f) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def remove_diagonal_elements(self, matrix): |
|
|
|
|
m = matrix.shape[0] |
|
|
|
|
strided = np.lib.stride_tricks.as_strided |
|
|
|
|
s0, s1 = matrix.strides |
|
|
|
|
return strided(matrix.ravel()[1:], shape=(m - 1, m), strides=(s0 + s1, s1)).reshape(m, -1) |
|
|
|
|
|
|
|
|
|
def ctpc_algorithm(self): |
|
|
|
|
for node_id in self.sample_path.structure.list_of_nodes_labels(): |
|
|
|
|
print("TESTING VAR:", node_id) |
|
|
|
|
self.one_iteration_of_CTPC_algorithm(node_id) |
|
|
|
|
|
|
|
|
|