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We present a temporal optimal link prediction method that is based on the stacking link prediction method.

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Sequential Stacking Link Prediction

Sequential Stacking Link Prediction Algorithms for Temporal Networks

This is the GitHub repo accompany the paper by Xie He, Amir Ghasemian, Eun Lee, Aaron Clauset, Peter Mucha. The paper is published at Nature Communications 15, Article number: 1364 (2024)

Please cite the paper when using the data or code. See License Information for more details on Usage.

To ensure reproducbility, the below information has been tested and successfully run by vonlunteers who read the GitHub and then experimented on Linux, Mac, Windows, and Google Colab(except the E-LSTM-D, because it does not work for Google Colab, but should work on all other platforms with the constraints described below).

System Requirements

To reproduce all results from our experiments, you will need at least Python 3.6.7 (but E-LSTM-D will not work above 3.7) and a few packages installed (see the enviornment file for specific details).

You can check your python version with

$ python --version

Alternatively, if you wish to run only the Top-Sequential or T-SBM method with the topological features, you could instead do:

pip install Imbalanced-learn scipy numpy pandas networkx scikit-learn

If you further wish to run Time Series, then you should also install:

pip install statsmodels

If you run into trouble with the original E-LSTM-D GitHub, but you want to run the E-LSTM-D and the full Ensemble-Sequential method, then you should first make sure you have python 3.6.7+ but no more than 3.7. Then you could try do the following to create the required environment for the code (Only if you want to use the full Ensemble-Sequential, because of the dependency of E-LSTM-D, Time Series, and T-SBM).

pip install tensorflow==1.14.0 keras==2.2.4 Imbalanced-learn==0.8.1 scipy==1.5.4 scikit-learn==0.24.2 networkx==2.5.1 pandas==1.1.5 statsmodels==0.12.2 numpy==1.14.5

The above environment has been tested to build successfully and run all the following experiments successfully on all the popular platforms and should work for Windows, Mac OS, and Linux, if installed correctly. (numpy 1.19.5 is also okay)

Data Input Format Requirements

Throughout the usage of this repo, please make sure your nodes are labeled from 0 to N-1 with integer as their index. This applies to real-world networks too. Node string names are not yet supported.

The input files of the network should be put in a folder that is the name of that network. Each temporal layer should be separated into different files starting at number 1.

In other words, in the directory fake110, it should contain fake110_1.txt, fake110_2.txt, etc.

The content of the txt file should be: source_node_idx target_node_idx for each edge on each line. See the example synthetic dataset as a reference.

For simplicity, here I only describe the process for the partially observed case, the completely unobserved case is done in the exact same setting, but with slightly different named python files (usually there's the word complete in the file name).

To run only the Top-Sequential Experiments

The best way to run only the Top-Sequential Experiment is to follow the example.py file. In order to run it, first you have to unzip the community_label_TSBM.zip.

$ python example.py

Change the variables and/or numbers in example.py to change the corresponding variables in the paper.

Note that you have to manually determine the number of layers you want the algorithm to work with.

  • The search variable u could be found and replaced in edges_orig = edges_orig[0:u] (6 in all of our experiments)
  • The flow variable q could be found and replaced in predict_num = q (3 in all of our experiments)

Running example.py (which contain two functions) will generate two AUC scores, accordingly with the partially observed case and the completely unobserved case in the paper.

To run Top-Sequential and the T-SBM without the whole Ensemble-Sequential method (NOT VERY RECOMMENDED, but doable)

There's currently no way to run T-SBM individually in this directory, because arguably the best way to run it individually will be to run it through its original GitHub T-SBM.

Running the experiments will take a while depending on your hardware. In particular, T-SBM could be a bit slow even for smaller networks.

If you do not wish the run the full E-LSTM-D and Time Series, but are only interested in the toplogical feature and T-SBM, you could simply navigate to the folder, and run:

$ cd ensemble_with_others/Ensemble_final_edition
$ python data_runner.py # this will create the T-SBM features (which would be an edge indicator) and the Toplogical features

This will give you all the feature matrix you need to further use your preferred algorithm.

If done correctly, you should see: "for_sbm", "feature_metrices", "results", "edge_tf_true", "edge_tf_tr", "ef_gen_ho", "ef_gen_tr".

You need to change the variable feat_path in the file calculate_different_AUC.py to your own feature path before proceeding if you have NOT run the other two commands (see below for details).

Because now that the order is disturbed, you need to load the feature matrix from the folder named feat_path = "./ef_gen_tr/" for the training matrix, and then feat_path = "./ef_gen_ho/" for the hold out matrix. Note also that you need to rename them in order to make calculate_different_AUC.py recognize them. To be even more specific, the input of the calculate_different_AUC.py requires four different things: df_t_tr for the true training edges, 'df_f_tr' for the false training edges, and df_t_ho for the true hold out edges, and df_f_ho for the false holdout edges. Thus you should make sure that these files all exist before you do anything else. Likely they live in the previously mentioned folders, probably named to just be "df_t" and "df_f".

To help the reader make this process easier, I have built the function TOP_TSBM_postprocess.py as a help function to make this process easier. Please put in the same folder as data_runner.py. Please be careful with this function as it WILL OVERWRITE the final output if you directly run it after you have successfully built everything. This file should be run BEFORE you call python calculate_different_AUC.py.

$ python TOP_TSBM_postprocess.py

Thus, it is highly recommended that you finish the whole process first, or at least finish the Time-Series part first before you proceed to call calculate_different_AUC.py.

Once you are sure that you have the feature matrix you want in the folder you want it in, go ahead and call:

$ python calculate_different_AUC.py 

If you have run the other two in the order described above, then you can ignore the whole section above and directly call it, as this function is meant to be called after all the feature matrices have been generated.

Very Importantly, in the file calculate_different_AUC.py, the main loop contain a variable named choice.

The choice 0 gives you Top-Sequential AUC, choice 1 gives you Time-Series, choice 2 gives you T-SBM, choices 3 gives you E-LSTM-D, and choice 4 gives you Ensemble-Sequential-Stacking, just like what is described above.

And in the case you have NOT run neither Time-Series nor E-LSTM-D, you only have the choice of 0 and 2. Any other option will likely give you an error message.

To run Top-Sequential, T-SBM and Time-Series without the whole Ensemble-Sequential method (RECOMMENDED Only if having a lot of trouble with E-LSTM-D)

$ cd ensemble_with_others/Ensemble_final_edition
$ python data_runner.py # this will create the T-SBM features (which would be an edge indicator) and the Toplogical features
$ python process_ts.py # this will create the time series features and add them to the end of the previous features.

If done correctly, there will be a folder named "all_features" appearing after the run. Replace the variable feat_path value in the file calculate_different_AUC.py to all_features and run

$ python calculate_different_AUC.py 

All the rest will be exactly the same as described in the above section.

To run the full Ensemble-Sequential Experiment (HIGHLY RECOMMENDED if E-LSTM-D works out fine)

Running the experiments will take a while depending on your hardware. In particular, T-SBM could be a bit slow even for smaller networks.

To run the individual benchmarking methods:

  1. Download and install the code and relevant packages from: E-LSTM-D
  2. Download and install the code and relevant packages from: T-SBM
  3. Make sure you have installed the required environment and packages.

To run the full Ensemble-Sequential experiment, first, you have to run the modified E-LSTM-D codes provided in this repository in order to get the features and AUC scores from it. See System Requirements for how to install the environments correctly.

$ cd ensemble_with_others/E-LSTM-D/Partially-observed
$ python convert_partial.py
$ python calculate_elstmd.py
$ python generate_output.py

This will in turn gives you a full feature matrix from E-LSTM-D and a folder named "lstm_feat", which you could use to stack with the topological features extracted with Top-Sequential method.

If you wish to get the AUC scores for E-LSTM-D only, stop here.

Then, please go ahead and copy and paste the folder lstm_feat to be under the same directory that you are planning to conduct your full Ensemble-Sequential method. (In the code, I intentionally avoid directly putting it under that folder to avoid confusion about where that output folder comes from.)

After that, navigate to the folder ensemble_with_others/Ensemble_final_edition/, which is also the default folder that you should be pasting to.

Once inside the folder you have to first generate the feature matrix for the dataset first. You can do this by:

$ python data_runner.py # this will create the T-SBM features (which would be an edge indicator) and the Toplogical features
$ python process_ts.py # this will create the time series features and add them to the end of the previous features.
$ python create_lstm_df.py # this will create the LSTM features. Omit this step if you have not done the E-LSTM-D part.

If done correctly, you should be seeing folders named "finalized_all_features", "all_features", "lstm_feat", "for_sbm", "feature_metrices", "results", "edge_tf_true", "edge_tf_tr", "ef_gen_ho", "ef_gen_tr".

Then you could go ahead and call:

$ python calculate_different_AUC.py 

This will give you the complete AUC scores result of the dataset you desired. If left not touched, it will output to the folder named full_results_final.

Very importantly, the AUC scores order that you will end up getting after the partially observed case should be in the following order:

auc_methods = ['Top-Sequential-Stacking', 'Time-Series', 'Tensorial-SBM', 'E-LSTM-D', 'Ensemble-Sequential-Stacking',]

The AUC scores order that you will get after the completely unobserved case will be the same order, except that you will ignore the third column, Tensorial-SBM, because that would be a meaningless result that is repeating the partially observed case.

Note also: feel free to use this ensemble learning method stacked with other features of your liking. Theoretically, any features that could be generated with a partially observed network would work with that case, and note also that the completely unobserved case would require features that could be generated from the previous time layers.

If there are any questions, feel free to leave a message on GitHub or email directly.

To run the benchmarking methods mentioned in the paper individually

For E-LSTM-D:

  1. Download and install the code and relevant packages from: E-LSTM-D
  2. Either you could then run their code directly to calculate the AUC.
  3. Or you could directly run the full Ensemble-Sequential code, which automatically generates the AUC scores after the full-run.

For Tensorial-SBM:

  1. Download and install the code and relevant packages from: T-SBM
  2. Either you could then run their code directly to calculate the AUC.
  3. Or you could directly run the full Ensemble-Sequential code, which automatically generates the AUC scores after the full-run.

For Time Series:

See above for detailed description.

$ cd ensemble_with_others/Ensemble_final_edition
$ python data_runner.py # this will create the T-SBM features (which would be an edge indicator) and the Toplogical features
$ python process_ts.py # this will create the time series features and add them to the end of the previous features.

Synthetic Datasets

The example runs could be found in example.py, which runs through one of the 90 synthetic network datasets we created. To run through the synthetic networks, please download them through the Google Drive Link here. Once downloaded, go ahead and extract the folder into the same folder under TOLP.py and change the path name in the example.py and/or modify to your liking.

Note that the naming of the synthetic networks could be very confusing. Here we list the naming pattern for both types of synthetic network so that the readers are not confused. We did the naming this way to avoid long and arduous names of the files. For the naming convention, see the functions in the python file translate.py for specific details.

Real World Datasets

The real world networks could be found under the following links. Due to copyright reasons, we will only show the link to download them. The following is taken from ICON: https://icon.colorado.edu/#!/networks

The following is taken from network repository:

The following is given to us by the authors, special thanks to the authors for sharing the data.

  • bionet1-2: https://www3.nd.edu/~tmilenko/software_data.html
  • Khalique Newaz and Tijana Milenkovic (2020), Improving inference of the dynamic biological network underlying aging via network propagation, IEEE/ACM Transactions on Computational Biology and Bioinformatics, DOI: 10.1109/TCBB.2020.3022767.

Acknowledgements

We thank Marya Bazzi, Lucas Jeub, Roxana Pamfil, and Mason A. Porter for helpful discussions and conversation; and Khalique Newaz and Tijana Milenkovic for providing the bionet datasets. We are grateful for the use of the high performance computing clusters at the University of North Carolina at Chapel Hill (longleaf) and Dartmouth College (discovery7). A special thanks to Junyi Cheng for helping with the graphical design of Figure 1. Special thanks to Jonathan T. Lindbloom, Lizuo Liu, and Ryan Maguire for their help during the progress of this project. This work is supported in part by the Army Research Office under MURI award W911NF-18-1-0244 (X.H. and P.J.M.), the National Science Foundation under Grant No.~2030859 to the Computing Research Association for the CIFellows Project (A.G.), and the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (No.~RS-2022-00165916) (E.L.). The content is solely the responsibility of the authors and does not necessarily represent the official views of any agency supporting this research.

Previous Mistakes

You could also find the past bugged version of the code both in the same folder and on GitHub for debugging purposes. The noticable change could be found in the GitHub history. There might still be unfound BUGs, email me or leave a message as you see fit.

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We present a temporal optimal link prediction method that is based on the stacking link prediction method.

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