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cSBM_dataset.py
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cSBM_dataset.py
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#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
#
# Distributed under terms of the MIT license.
"""
This is a script for contexual SBM model and its dataset generator.
contains functions:
ContextualSBM
parameterized_Lambda_and_mu
save_data_to_pickle
class:
dataset_ContextualSBM
"""
import numpy as np
import torch
from torch_geometric.data import Data
import pickle
from datetime import datetime
import os.path as osp
import os
import ipdb
import argparse
import torch
from torch_geometric.data import InMemoryDataset
def index_to_mask(index, size):
mask = torch.zeros(size, dtype=torch.bool, device=index.device)
mask[index] = 1
return mask
def random_planetoid_splits(data, num_classes, percls_trn=20, val_lb=500, Flag=0):
# Set new random planetoid splits:
# * round(train_rate*len(data)/num_classes) * num_classes labels for training
# * val_rate*len(data) labels for validation
# * rest labels for testing
indices = []
for i in range(num_classes):
index = (data.y == i).nonzero().view(-1)
index = index[torch.randperm(index.size(0))]
indices.append(index)
train_index = torch.cat([i[:percls_trn] for i in indices], dim=0)
if Flag == 0:
rest_index = torch.cat([i[percls_trn:] for i in indices], dim=0)
rest_index = rest_index[torch.randperm(rest_index.size(0))]
data.train_mask = index_to_mask(train_index, size=data.num_nodes)
data.val_mask = index_to_mask(rest_index[:val_lb], size=data.num_nodes)
data.test_mask = index_to_mask(
rest_index[val_lb:], size=data.num_nodes)
else:
val_index = torch.cat([i[percls_trn:percls_trn+val_lb]
for i in indices], dim=0)
rest_index = torch.cat([i[percls_trn+val_lb:] for i in indices], dim=0)
rest_index = rest_index[torch.randperm(rest_index.size(0))]
data.train_mask = index_to_mask(train_index, size=data.num_nodes)
data.val_mask = index_to_mask(val_index, size=data.num_nodes)
data.test_mask = index_to_mask(rest_index, size=data.num_nodes)
return data
def ContextualSBM(n, d, Lambda, p, mu, train_percent=0.025, val_percent=0.025):
# n = 800 #number of nodes
# d = 5 # average degree
# Lambda = 1 # parameters
# p = 1000 # feature dim
# mu = 1 # mean of Gaussian
gamma = n/p
c_in = d + np.sqrt(d)*Lambda
c_out = d - np.sqrt(d)*Lambda
y = np.ones(n)
y[int(n/2)+1:] = -1
y = np.asarray(y, dtype=int)
# creating edge_index
edge_index = [[], []]
for i in range(n-1):
for j in range(i+1, n):
if y[i]*y[j] > 0:
Flip = np.random.binomial(1, c_in/n)
else:
Flip = np.random.binomial(1, c_out/n)
if Flip > 0.5:
edge_index[0].append(i)
edge_index[1].append(j)
edge_index[0].append(j)
edge_index[1].append(i)
# creating node features
x = np.zeros([n, p])
u = np.random.normal(0, 1/np.sqrt(p), [1, p])
for i in range(n):
Z = np.random.normal(0, 1, [1, p])
x[i] = np.sqrt(mu/n)*y[i]*u + Z/np.sqrt(p)
data = Data(x=torch.tensor(x, dtype=torch.float32),
edge_index=torch.tensor(edge_index),
y=torch.tensor((y + 1) // 2, dtype=torch.int64))
# order edge list and remove duplicates if any.
data.coalesce()
num_class = len(np.unique(y))
val_lb = int(n * val_percent)
percls_trn = int(round(train_percent * n / num_class))
data = random_planetoid_splits(data, num_class, percls_trn, val_lb)
# add parameters to attribute
data.Lambda = Lambda
data.mu = mu
data.n = n
data.p = p
data.d = d
data.train_percent = train_percent
data.val_percent = val_percent
return data
def parameterized_Lambda_and_mu(theta, p, n, epsilon=0.1):
'''
based on claim 3 in the paper,
lambda^2 + mu^2/gamma = 1 + epsilon.
1/gamma = p/n
longer axis: 1
shorter axis: 1/gamma.
=>
lambda = sqrt(1 + epsilon) * sin(theta * pi / 2)
mu = sqrt(gamma * (1 + epsilon)) * cos(theta * pi / 2)
'''
from math import pi
gamma = n / p
assert (theta >= -1) and (theta <= 1)
Lambda = np.sqrt(1 + epsilon) * np.sin(theta * pi / 2)
mu = np.sqrt(gamma * (1 + epsilon)) * np.cos(theta * pi / 2)
return Lambda, mu
def save_data_to_pickle(data, p2root='../data/', file_name=None):
'''
if file name not specified, use time stamp.
'''
now = datetime.now()
surfix = now.strftime('%b_%d_%Y-%H:%M')
if file_name is None:
tmp_data_name = '_'.join(['cSBM_data', surfix])
else:
tmp_data_name = file_name
p2cSBM_data = osp.join(p2root, tmp_data_name)
if not osp.isdir(p2root):
os.makedirs(p2root)
with open(p2cSBM_data, 'bw') as f:
pickle.dump(data, f)
return p2cSBM_data
class dataset_ContextualSBM(InMemoryDataset):
r"""Create synthetic dataset based on the contextual SBM from the paper:
https://arxiv.org/pdf/1807.09596.pdf
Use the similar class as InMemoryDataset, but not requiring the root folder.
See `here <https://pytorch-geometric.readthedocs.io/en/latest/notes/
create_dataset.html#creating-in-memory-datasets>`__ for the accompanying
tutorial.
Args:
root (string): Root directory where the dataset should be saved.
name (string): The name of the dataset if not specified use time stamp.
for {n, d, p, Lambda, mu}, with '_' as prefix: intial/feed in argument.
without '_' as prefix: loaded from data information
n: number nodes
d: avg degree of nodes
p: dimenstion of feature vector.
Lambda, mu: parameters balancing the mixture of information,
if not specified, use parameterized method to generate.
epsilon, theta: gap between boundary and chosen ellipsoid. theta is
angle of between the selected parameter and x-axis.
choosen between [0, 1] => 0 = 0, 1 = pi/2
transform (callable, optional): A function/transform that takes in an
:obj:`torch_geometric.data.Data` object and returns a transformed
version. The data object will be transformed before every access.
(default: :obj:`None`)
pre_transform (callable, optional): A function/transform that takes in
an :obj:`torch_geometric.data.Data` object and returns a
transformed version. The data object will be transformed before
being saved to disk. (default: :obj:`None`)
"""
# url = 'https://github.com/kimiyoung/planetoid/raw/master/data'
def __init__(self, root, name=None,
n=800, d=5, p=100, Lambda=None, mu=None,
epsilon=0.1, theta=0.5,
train_percent=0.01, val_percent=0.01,
transform=None, pre_transform=None):
now = datetime.now()
surfix = now.strftime('%b_%d_%Y-%H:%M')
if name is None:
# not specifing the dataset name, create one with time stamp.
self.name = '_'.join(['cSBM_data', surfix])
else:
self.name = name
self._n = n
self._d = d
self._p = p
self._Lambda = Lambda
self._mu = mu
self._epsilon = epsilon
self._theta = theta
self._train_percent = train_percent
self._val_percent = val_percent
root = osp.join(root, self.name)
if not osp.isdir(root):
os.makedirs(root)
super(dataset_ContextualSBM, self).__init__(
root, transform, pre_transform)
# ipdb.set_trace()
self.data, self.slices = torch.load(self.processed_paths[0])
# overwrite the dataset attribute n, p, d, Lambda, mu
self.Lambda = self.data.Lambda.item()
self.mu = self.data.mu.item()
self.n = self.data.n.item()
self.p = self.data.p.item()
self.d = self.data.d.item()
self.train_percent = self.data.train_percent.item()
self.val_percent = self.data.val_percent.item()
# @property
# def raw_dir(self):
# return osp.join(self.root, self.name, 'raw')
# @property
# def processed_dir(self):
# return osp.join(self.root, self.name, 'processed')
@property
def raw_file_names(self):
file_names = [self.name]
return file_names
@property
def processed_file_names(self):
return ['data.pt']
def download(self):
for name in self.raw_file_names:
p2f = osp.join(self.raw_dir, name)
if not osp.isfile(p2f):
# file not exist, so we create it and save it there.
if self._Lambda is None or self._mu is None:
# auto generate the lambda and mu parameter by angle theta.
self._Lambda, self._mu = parameterized_Lambda_and_mu(self._theta,
self._p,
self._n,
self._epsilon)
tmp_data = ContextualSBM(self._n,
self._d,
self._Lambda,
self._p,
self._mu,
self._train_percent,
self._val_percent)
_ = save_data_to_pickle(tmp_data,
p2root=self.raw_dir,
file_name=self.name)
else:
# file exists already. Do nothing.
pass
def process(self):
p2f = osp.join(self.raw_dir, self.name)
with open(p2f, 'rb') as f:
data = pickle.load(f)
data = data if self.pre_transform is None else self.pre_transform(data)
torch.save(self.collate([data]), self.processed_paths[0])
def __repr__(self):
return '{}()'.format(self.name)
if __name__ == '__main__':
parser = argparse.ArgumentParser()
parser.add_argument('--phi', type=float, default=1)
parser.add_argument('--epsilon', type = float , default = 3.25)
parser.add_argument('--root', default = 'data/')
parser.add_argument('--name', default = 'cSBM_demo')
parser.add_argument('--num_nodes', type = int, default = 800)
parser.add_argument('--num_features', type = int, default = 1000)
parser.add_argument('--avg_degree', type = float, default = 5)
parser.add_argument('--train_percent', type = float, default = 0.025)
parser.add_argument('--val_percent', type = float, default = 0.025)
args = parser.parse_args()
dataset_ContextualSBM(root = args.root,
name = args.name,
theta = args.phi,
epsilon = args.epsilon,
n = args.num_nodes,
d = args.avg_degree,
p = args.num_features,
train_percent = args.train_percent,
val_percent=args.val_percent)