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Title: EvalNE: A Framework for Evaluating Network Embeddings on Link Prediction

Paper content:
Network embedding (NE) methods aim to learn low-dimensional representations of network nodes as vectors, typically in Euclidean space.
These representations are then used for a variety of downstream prediction tasks.
Link prediction is one of the most popular choices for assessing the performance of NE methods.
However, the complexity of link prediction requires a carefully designed evaluation pipeline to provide consistent, reproducible and comparable results.
We argue this has not been considered sufficiently in recent works.
The main goal of this paper is to overcome difficulties associated with evaluation pipelines and reproducibility of results.
We introduce EvalNE, an evaluation framework to transparently assess and compare the performance of NE methods on link prediction.
EvalNE provides automation and abstraction for tasks such as hyper-parameter tuning, model validation, edge sampling, computation of edge embeddings and model validation.
The framework integrates efficient procedures for edge and non-edge sampling and can be used to easily evaluate any off-the-shelf embedding method.
The framework is freely available as a Python toolbox.
Finally, demonstrating the usefulness of EvalNE in practice, we conduct an empirical study in which we try to replicate and analyse experimental sections of several influential papers.
Link prediction is an important task with applications in a wide range of fields such as computer science, social sciences, biology, and medicine BID6 BID14 BID15 BID22 .
It amounts to estimating the likelihood for the existence of edges, between pairs of nodes that do not form an edge in the input graph.
Many Network Embedding (NE) methods (e.g., BID0 BID2 BID5 BID8 BID10 BID12 BID17 BID18 BID19 have recently been applied to solving link prediction problems, showing promising results. These methods map nodes in the network to vectors in IR d . This embedding is then used for a variety of tasks such as visualization, multi-label classification, clustering or link prediction.The challenges of evaluating NE methods for link prediction We argue that the practical performance of most NE methods is poorly understood and that experiments in many papers are difficult to compare due to variation in experimental setup and evaluation procedures. In this paper, we focus on a number of difficulties specific to the evaluation of NE methods for link prediction. Link prediction is a particularly challenging task to evaluate as it involve a number design choices, which can confound the results and are prone to errors.1) Train-test splitting of graphs For example, a typical implicit assumption is that the input graph is not complete, and the purpose is to accurately predict the missing edges.
To evaluate the performance of an NE method for link prediction, one thus needs an (incomplete) training graph along with a (more) complete version of that graph for testing.
Much research has been devoted to determining the best approach to generate these training graphs BID6 BID14 BID22 .
Strong theoretical and empirical evidence suggest that in order to fairly evaluate link prediction methods, snapshots of the network at different points in time should be used for training and testing.
In this way, the link prediction methods are tested on the natural evolutions of the networks.
However, the availability of such snapshots is uncommon and raises additional questions, such as how to choose the time intervals for splitting the network.For these reasons, authors typically resort to sampling sets of edges from the input graphs and using the resulting sub-graphs for training BID5 BID8 BID10 BID12 .
The remaining edges are used as positive test examples.
The process of sampling edges is not standardized and varies between scientific works.
The relative sizes of the train and test sets, for example, is a user-defined parameter which varies significantly.
In BID8 ; BID10 the authors use a 50-50 train-test split, in BID5 ) a 60-40, in Lai et al. (2017 an 80-20 and in BID20 values ranging from 30-70 up to 80-20.A related problem is that, in addition to the 'positive' train and test edges, often also 'negative' edges (or non-edges) are required.
Sometimes these are used to derive the embedding, while in other cases they are used only to train the classifier that predicts links.
These sets of non-edges can be selected according to different strategies (Kotnis & Nastase) and can be of various sizes.2) From node embeddings to edge predictions Furthermore, most NE methods simply provide node embeddings.
From these, edge embeddings need to be derived prior to performing predictions.
There are several approaches for deriving edge embeddings which also seem to have a strong impact on the performance of different methods BID8 .3) Evaluation measures Also the metrics used to evaluate the accuracy varies, e.g., from AUC-ROC BID10 , to precision-recall BID21 , to precision@k BID20 .
The recent surge of research in the area of network embeddings has resulted in a wide variety of data sets, metrics, and setups for evaluating and comparing the utility of embedding methods.
Comparability across studies is lacking and not all evaluations are equally sound.
This highlights the need for specific tools and pipelines to ensure the correct evaluation of these methods.
Particularly, the use of representation learning for link prediction tasks requires train and test sampling, non-edge sampling, and in many cases selection of edge embedding methods and binary classifiers.
The evaluation procedure, thus, becomes an ensemble of tasks which allow for many errors or inconsistencies.In this work we have proposed EvalNE, a novel framework that can be used to evaluate any network embedding method for link prediction.
Our pipeline automates the selection of train and test edge sets, simplifies the process of tuning model parameters and reports the accuracy of the methods according to many criteria.
Our experiments highlight the importance of the edge sampling strategy and parameter tuning for evaluating NE methods.
We have also introduced a scalable procedure to select edge sets from given networks and showed empirically that is orders or magnitude faster than the naive approaches used in recent literature.

assistant: text: In this paper we introduce EvalNE, a Python toolbox for automating the evaluation of network embedding methods on link prediction and ensuring the reproducibility of results.