Metadata-Version: 2.4 Name: GroupMultiNeSS Version: 0.0.3 Summary: GroupMultiNeSS package Author: Alexander Kagan Author-email: Keywords: python,multiplex networks,multiness,latent space models Classifier: Development Status :: 3 - Alpha Classifier: Intended Audience :: Education Classifier: Programming Language :: Python :: 2 Classifier: Programming Language :: Python :: 3 Classifier: Operating System :: MacOS :: MacOS X Classifier: Operating System :: Microsoft :: Windows Description-Content-Type: text/markdown License-File: LICENSE Requires-Dist: numpy<2 Requires-Dist: scipy Requires-Dist: typing Requires-Dist: joblib Requires-Dist: matplotlib Requires-Dist: seaborn Requires-Dist: statsmodels Requires-Dist: scikit-learn Requires-Dist: more_itertools Dynamic: author Dynamic: author-email Dynamic: classifier Dynamic: description Dynamic: description-content-type Dynamic: keywords Dynamic: license-file Dynamic: requires-dist Dynamic: summary # GroupMultiNeSS GroupMultiNeSS is a package for statistical modeling of multilayer networks. It implements multiple approaches allowing to extract shared, group, and individual latent structures from a collection of networks on a shared set of nodes. Specifically, it contains the implementation of fitting sampling procedures for the following models: - GroupMultiNeSS [Kagan et al. (2025)] - likelihood based approach with nuclear norm penalization, accounts for the additional group latent structure - MultiNeSS [[MacDonald et al. (2021)](https://arxiv.org/abs/2012.14409)] - likelihood based approach with nuclear norm penalization - MultiNeSS [[Tian et al. (2024)](https://arxiv.org/abs/2412.02151)] - likelihood based approach with pre-estimation of latent ranks via Shared Space Hunting algorithm - COSIE ([Arroyo et al.](https://arxiv.org/abs/1906.10026)) - spectral-based Multiple Adjacency Spectral Embedding algorithm ## Installation Use the package manager [pip](https://pip.pypa.io/en/stable/) to install GroupMultiNeSS. ```bash pip install GroupMultiNeSS ``` ## Usage ```python # Imports import numpy as np from GroupMultiNeSS.group_multiness import GroupMultiNeSS from GroupMultiNeSS.data_generation import GroupLatentPositionGenerator from GroupMultiNeSS.utils import make_group_indices # Sample true latent positions and group indices n, M, K = 200, 16, 4 group_props = np.ones(K) / K # make ballanced groups group_indices = make_group_indices(group_props, M) lpg = GroupLatentPositionGenerator(n_nodes=n, n_layers=M, group_indices=group_indices) lpg.generate(random_seed=1) As, Ps_true, S_true, Qs_true, Rs_true = lpg.As, lpg.Ps, lpg.S, lpg.Qs, lpg.Rs # Fit GroupMultiNeSS model and compute the relative errors with ground-truth group_multiness = GroupMultiNeSS(group_indices, n_jobs=K) group_multiness.fit(As, lr=0.8) print(group_multiness.make_final_error_report(S_true, Qs_true, Rs_true, Ps=Ps_true)) # {'Shared component': 0.026, 'Group components': 0.051, 'Individual components': 0.122, 'Ps': 0.077} ``` ## License MIT License Copyright (c) 2024 Alexander Kagan Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.