International Journal of Computer Networks & Communications (IJCNC)




Rahul Deo Verma1, Shefalika Ghosh Samaddar2 and A. B. Samaddar2

1Ph.D. Scholar, Department of Computer Science and Engineering,
National Institute of Technology Sikkim, India
2Department of Computer Science and Engineering,
National Institute of Technology Sikkim, India


The Border Gateway Protocol (BGP) provides crucial routing information for the Internet infrastructure. A problem with abnormal routing behavior affects the stability and connectivity of the global Internet. The biggest hurdles in detecting BGP attacks are extremely unbalanced data set category distribution and the dynamic nature of the network. This unbalanced class distribution and dynamic nature of the network results in the classifier’s inferior performance. In this paper we proposed an efficient approach to properly managing these problems, the proposed approach tackles the unbalanced classification of datasets by turning the problem of binary classification into a problem of multiclass classification. This is achieved by splitting the majority-class samples evenly into multiple segments using Affinity Propagation, where the number of segments is chosen so that the number of samples in any segment closely matches the minority-class samples. Such sections of the dataset together with the minor class are then viewed as different classes and used to train the Extreme Learning Machine (ELM). The RIPEand BCNET datasets are used to evaluate the performance of the proposed technique. When no feature selection is used, the proposed technique improves the F1 score by 1.9% compared to state-of-the-art techniques. With the Fischer feature selection algorithm, the proposed algorithm achieved the highest F1 score of 76.3%, which was a 1.7% improvement over the compared ones. Additionally, the MIQ feature selection technique improves the accuracy by 3.5%. For the BCNET dataset, the proposed technique improves the F1 score by 1.8% for the Fisher feature selection technique. The experimental findings support the substantial improvement in performance from previous approaches by the new technique.


Border Gateway Protocol (BGP), Extreme Learning Machine (ELM), Anomaly Detection.


The Internet is a network without a center that is interconnected. It consists of thousands of autonomous (AS) systems. Border Gateway Protocol (BGP) is designed and implemented for the transmission of packets across the ASes. In BGP, the prefixes owned by each autonomous system will be announced and routing information learned from its neighbors will be propagated according to policy. The ASes must follow a path to the source of the prefix while propagating the prefix and will be able to choose between different paths. However, even being a core component of the Internet infrastructure, BGP consists of several serious security vulnerabilities [1].

There are four types of messages sent over BGP: open, update, keep alive, and notification, which is defined by metrics such as the shortest path to the nearest next-hop router, and routing policies. While peer-to-peer messages are exchanged, a variety of events such as router misconfigurations, session resets, and link failures can trigger BGP anomalies. Any upgrade which does not represent a shift in the underlying BGP network or routing policy is the simplest concept of BGP anomalies. Such irregularities undermine the efficiency and performance of the network.

There have been numerous techniques used to detect BGP anomalies [2]. Unfortunately, these existing anomaly detection approaches perform poorly with highly unbalanced traffic characteristics (as malicious traffic amounts are very small compared to normal traffic), also, these approaches do not account for the network’s dynamic nature. The unbalanced distribution of class and the dynamic nature of the network contribute to the classifier’s inferior efficiency. We, therefore, need a technique to deal with the above-mentioned issue that not only learns from such unbalanced datasets but also preserves a margin between training samples and classifier boundaries so that we can deal with the network’s dynamic behavior. To achieve this, a classifier based on Affinity Propagation and ELM is proposed in this work.

The proposed approach addresses the unbalanced classification of datasets by converting the issue of binary classification into a problem of multi-class classification. Using Affinity Propagation, the majority of class samples are clustered into multiple groups. With this, we divide the data samples of the majority of class into multiple classes each of which contains samples approximately equal to minority classes. Together with the minor class, these dataset clusters are used to train the classifier Extreme Learning Machine (ELM) to handle the problem of multiclass classification.


Several methods have been suggested by analyzing traffic patterns to detect anomalies. One of the early and common methods is to develop traffic behavior models based on statistical techniques [3, 4], identifying the anomalies as correlated abrupt changes that occur in the underlying distribution. The downside, however, is that with all possible cases, it is difficult to estimate the dimensional distributions. Clustering techniques [5, 6, 7] have also been suggested to identify all regular traffic data points belonging to one cluster while anomalous data points that belong to multiple clusters. Clustering techniques have the main disadvantage of being optimized to detect regular traffic, which is not the goal of detection methods. An alternative widely used approach is the rule-based technique [8, 9, 10], which builds classifiers based on specific rules. The downside is that a priori knowledge and a high degree of computations are required. Several machine learning techniques have been used to create traffic classification models [11, 12, 13, 14, 15, 16] to identify anomalies for both unsupervised and supervised machine learning models. Despite the ability of neural networks to detect the complex relationship between features, they have many disadvantages such as high computational complexity and high probability of overfitting. Support vector machine (SVM) techniques use nonlinear classification functions to identify anomaly patterns in data and classify that data point based on the value obtained by the classifier function. SVMs build a classification model that maximizes the difference between each class’s data points. Several variants of SVM detection techniques are introduced and evaluated [17], but due to the quadratic optimization problem that needs to be solved, they have high computational complexity. Finally, due to their low time complexity, Bayesian networks (BN) techniques [18] are used in many real-time classification systems. BNs rely on two hypotheses: features are conditionally independent given a target category and the resulting likelihood is the criterion for classification between any two data points. Variants of BNs have been introduced by several anomaly detection schemes [19, 20]. Most of the models described here are not intended for sequence classification and are not appropriate for time series anomaly detection, where only input instances are handled separately without taking into account the sequenced existence of traffic data. In fact, traffic data are multivariate time series and the patterns of the anomaly are gradually varying with time information. In [21], an ELM-based intrusion detection approach is presented that addresses the class imbalance problem. The results of the experiments show that the ELM outperforms the SVM. Knowing that, an ELM has the advantage of faster computation for both training and testing, the ELM emerges as a promising technique for classification problems. However, selecting the correct number of hidden nodes in an ELM is still a difficult task.


In the section, the details of Affinity Propagation and Extreme Learning Machine (ELM) are presented. Clustering algorithms such as affinity propagation are often used for unsupervised learning, while feedforward neural networks such as ELM use multiple layers of hidden nodes with no need to tune their parameters.

3.1. Affinity Propagation (AP)

The propagation of affinity (AP) has been suggested as a new and powerful exemplary learning technique. In short, the user must provide a complete matrix of similarities between the input data points as the initial input to the algorithm (for the selected metric(s)). First of all, all data points are seen as potential examples. As soon as information messages (i.e. responsibility and availability) are transmitted along the network edge (each data point acts as a node), identifying possible examples and clusters [23].

In the following sections, we explain the AP mathematical model in brief. AP starts with a set of real-valued similarities between data points as input. Given a 𝑁 data point’s dataset, π‘₯𝑖 and π‘₯𝑗 are two objects in it. The similarity 𝑠(𝑖,𝑗) indicates how well π‘₯𝑗 is suited to be the exemplar forπ‘₯𝑖 . For instance, it can be initialized to 𝑠(𝑖,𝑗) = βˆ’β€–π‘₯𝑖 βˆ’ π‘₯𝑗‖ 2, 𝑖 β‰  𝑗. In [22], if no heuristic knowledge is present, self-similarities are referred to as preferences and are often inferred as constants. For instance, they could be set as:

Then, the AP method computes two types of messages which are then exchanged between data points. The first one identifies a “responsibility” π‘Ÿ(𝑖,𝑗) that is sent from the 𝑖 to the 𝑗, a good indication of whether point 𝑗 serves as a suitable exemplar for 𝑖. In the second message, called “availability” π‘Ž(𝑖,𝑗), candidate exemplar point 𝑗 transmits his or her availability to point 𝑖 and tells point 𝑖 the accumulated evidence to determine whether or not point 𝑖 should accept point 𝑗 as its exemplar. The availabilities are initially set to zero, π‘Ž(𝑖,𝑗) = 0. The update equations for π‘Ÿ(𝑖,𝑗) and π‘Ž(𝑖,𝑗) are written as:

To prevent numerical oscillations due to the exchange of messages between data points, a damping factor of πœ† = [0,1 ] is also applied:

Where, 𝑅 = π‘Ÿ(𝑖,𝑗) and 𝐴 = (𝑖,𝑗) represent the matrix of responsibility and the matrix of availability respectively; 𝑑 indicates the time of iteration. For several iterations, the above two messages will be modified iteratively until they exceed certain specified values or the local decisions remain constant. At this point, it is then possible to combine availabilities and responsibilities to define exemplars:

Affinity Propagation Algorithm

Several comprehensive analyzes of the AP method are performed ([23], [24]) for different scale datasets. A comparison of Affinity Propagation clustering with standard approaches (like pmedian analysis and vertex heuristic substitution) shows that there are only minor differences for both precision and speed on small datasets. For large datasets, however, AP offers notable benefits over existing methods [22, 24].

3.2. Extreme Learning Machine

An emerging algorithm in machine learning is called the Extreme Learning Machine (ELM) [25]. It is based on a single hidden layer feedforward neural network (SLFN), which trains quickly and provides performance similar to support vector machines (SVMs) [26]. ELM is a standard three- layer feedforward design that was introduced in 2006 [27]. The model contains two layers: an input layer and a hidden layer (the sigmoid nonlinear neurons) projecting the input layer onto higher dimensions. The final layer serves as the output and is made up of linear input-output neurons. Fig. 1 shows the ELM structure.

Here, 𝛽𝑖 and 𝛽𝑗 represents the weights between the hidden layer and the input layer, and the output layer and the hidden layer respectively. The hidden layer neuron threshold value 𝑏𝑗 and its activation function 𝑔(. ). Weights of the same input layer (𝑀𝑖,𝑗 ) and bias (𝑏𝑗 ) are assigned randomly. In the beginning, the network is initialized by allocating the input layer neuron number (𝑛) and hidden layer neuron number (π‘š), and the activation function (𝑔(. )). Now, based on this information, by combining and rearranging the parameters known in equilibrium, the output layer becomes as in equation (8) [28].

Figure 1. Feed-forward neural network with a single hidden layer in an ELM structure.

Like all training algorithm models, the objective should be to minimize errors as much as possible. The output 𝑦𝑝 error function obtained from the real output value π‘¦π‘œ in ELM is βˆ‘ (π‘¦π‘œ βˆ’ π‘ π‘˜π‘¦π‘)(with “s”: training data number) and β€–βˆ‘ (π‘¦π‘œ βˆ’ 𝑦𝑝) 2 π‘ π‘˜ β€– can be minimized. The output 𝑦𝑝 obtained from the actual output value π‘¦π‘œ must be equal to 𝑦𝑝 for both of these functions. If this occurs, the unknown parameter in equation (8) will be a very low probability matrix (𝐻). It means that there will never be the same number of samples in the training set as there are features in each sample.Therefore, it will be a challenge to take the inverse of 𝐻 and to find weights (𝑏). To overcome this situation, the pseudo-inverse of the matrix 𝐻 can be taken by using MoorePenrose Inverse. The output weights can therefore be found through 𝛽 = 𝑦 Γ— 𝑀𝑃𝐼(𝐻).

3.3. Experimental Datasets

BGP raw data are collected from AS513 (RIPE RIS, rcc04, CIXP, Geneva) during worm attacks like Slammer [29], Nimda [30], and Code Red I [31]. for the same duration, we downloaded the standard BGP datasets from RIPE NCC [32] and the BCNET Network Operations Center [33] from Vancouver, Canada. To convert MRT [34] to ASCII format, the libBGPdump tool [35] is used. Based on the tools written in C #, we parse the ASCII file and extract 37 features sampled in five days each minute, generating 7,200 samples for each anomaly case.

Filtered collected traffic data for BGP update messages during the intervals when the internet experienced BGP anomalies is provided in [36]. Three anomalous traffic events and two regular traffic events, described in this paper, are listed in Table 1.

Table 1.Details of BGP datasets [36]

3.4. Features Analysis

Information and characteristics influence the model’s classification output and determine the machine learning upper limit. The BGP raw data is used to generate 37 features set with obvious physical or statistical meaning. The feature set is obtained through the extraction process described in [37], and their values are calculated in one-minute intervals, which produces 7200 samples for each anomaly condition. The details of these features are presented in [36], these features are divided into three types (Continuous, Categorical, and Binary), and grouped into two categories named volume (how many BGP announcements are made) and AS-path (the maximum edit distance between the two ASs). For the complete details of the features set please refer to [36], as in this work the similar features set properties are adopted.

3.5. Feature selection

The feature vector’s high dimensionality due to non-informative features is considered unnecessary because it increases computational complexity and the use of memory [38]. It also leads to poor accuracy in classification. To decrease dimensionality, it is appropriate to choose the most relevant subset of the original set of features. A Fisher [39, 40] and a minimal Redundancy Maximum Relevance (mRMR) [41] algorithm were used to identify the most significant features.

Table 2.Top 10 selected features by different algorithms [36]

To select the top ten features, we use three variants of the mRMR algorithm: Mutual Information Difference (MID), Mutual Information Quotient (MIQ), and Mutual Information Base (MIBASE). These selected features according to the feature selection algorithm are presented in Table 2.

3.6. Proposed Methodology

The proposed BGP anomaly detection model is shown in Fig. 2. Classification involves categorizing test labels into predefined categories. In this work, four different classes Slammer, Nimda, Code Red, and Regular are defined as presented in Table 1. The steps of the classification process for the proposed model are shown in Fig. 2. Initially, raw data is processed to extract features and labels. The datasets are sorted by affinity propagation clustering into multiple groups and divided into two sets of training data and testing data, as shown in Fig. 2. In the training stage, the training set which consists set of predefined features and respective labels is used to train the extreme learning machine (ELM). The trained ELM is used as an anomaly detector on the test dataset. In the testing stage, the testing dataset is applied to the trained ELM model to generate classification labels. At the end of the process, a set of labels generated from the testing step is compared with the original labels from the testing step to evaluate the performance of the proposed model.

Figure 2.Proposed Classification Process


The classifier is evaluated based on four common measures known as accuracy (Eq. 10), precision (Eq. 11), recall (Eq. 12), and F1 (Eq. 9) to estimate the efficiency of the methods. Accuracy determines the predictive ability of the classifier for normal and anomaly assessments. Accuracy defines the predicted accuracy of the label. Recall determines the completeness of the category. F1 is a dimensionless measure of precision and recall that can be used to balance accuracy and recall.

Where, 𝑇𝑃, 𝑇𝑁, are denoting the true positive, true negative, while 𝐹𝑃, 𝐹𝑁 are denoting the false positive and false negative. These terms can be defined as:

  • TP: The number of anomalous instances classifier correctly identified as an anomaly.
  • TN: The number of normal instances classifier correctly identified as normal.
  • FP: The number of normal instances classifier incorrectly identified as an anomaly.
  • FN: The number of anomalous instances classifier incorrectly identified as normal.

These can also be defined by the confusion matrix.

Table 3. Confusion Matrix


Table 4 shows the performance comparison of previous methods (SVM (Support Vector Machine), HMM (Hidden Markov Model) and, NB (NaΓ―ve Bayes)) with the proposed method. For the RIPE dataset when compared to previous methods, the proposed approach delivers better accuracy for MID and MIQ-based features. For MID-based features, it provides 75.3% accuracy which is 0.4% higher than the 74.9 the previous best provided by HMM. For MIQ-based features, we get 74.8% which is 3.5% higher than the previous best 71.3% provided by SVM. When comparing in terms of F1 score the proposed classifier works better for all features set except for the MIBASE. Since the F1 score presents the combined information of Precision and Recall the higher value of it even when the Accuracy measure is lesser shows the better classifier performance.

For the BCNET dataset when compared to previous methods, the proposed approach delivers better accuracy for MID-based features and gives 80.6% accuracy which is 1.7% higher than the 78.9 the previous best provided by HMM. When comparing in terms of F1 score the proposed classifier works better for the Fisher and MID feature set.

Table 4. Performance Comparison

The proposed algorithm gives an average 80.65% accuracy for all datasets with a standard deviation of 5.52%, whereas SVM provides 80.69% accuracy however with an 8.42% standard deviation. When analyzed for the F1 scores the proposed method gives a higher average F1 score of 72.64% with only 4.11% of standard deviation in comparison to the second-best SVM which provides 69.66% average accuracy with a 7.66% standard deviation. This validates that the proposed method gives much uniform performance for all the five features set in terms of accuracy and F1 score.

Looking at the performance of different feature selection algorithms Fisher provides better average accuracy of 77.95% with a 2.9% of standard deviation for the RIPE dataset however for the BCNET dataset MIBASE gives better accuracy of 73.12% with 26.94% of standard deviation for the BCNET dataset. For the F1 score, the Fisher feature selection algorithm gives better performance for both the datasets and achieves an average of 69.82% and 62.57% respectively.

Figure 3. Mean and standard deviation of (a) Accuracy, and (b) F1 Score, of different classification techniques for the RIPE+BCNET dataset

Figure 4. Mean and standard deviation in (a) Accuracy, and (b) F1 Score, of different feature selection techniques for only the RIPE dataset

Figure 5. Mean and standard deviation in (a) Accuracy, and (b) F1 Score, of different feature selection techniques for only the BCNET dataset


In this paper, we presented an Affinity Propagation and Extreme Learning Machine (ELM) based approach for anomaly detection in the BGP network. Affinity Propagation-based clustering used the datasets processing phase, while ELM during the classification phase. Finally, the performance of the proposed algorithm is evaluated with two different datasets named RIPE and BCNET with four different feature selection algorithms. The experimental results reveal that the proposed algorithm performs better than SVM, HMM, and NB algorithms and provides much stable performance throughout the datasets and feature selection algorithms. The experimental results show that for both datasets and balanced and non-balanced class distributions, the proposed algorithm provides significantly improved performance over previous algorithms. Although the proposed algorithm performs better than compared algorithms, the algorithm may require several repetitions to get the best solution. This happens because with AP it is difficult to get the optimal parameter values, also AP may involve oscillations. In the future, these
limitations may be addressed using enhanced versions of the AP algorithm.


The authors declare no conflict of interest.


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