Evaluating importance of nodes in complex networks with local volume information dimension

How to evaluate the importance of nodes is essential in research of complex network. There are many methods proposed for solving this problem, but they still have room to be improved. In this paper, a new approach called local volume information dimension is proposed. In this method, the sum of degree of nodes within different distances of central node is calculated. The information within the certain distance is described by the information entropy. Compared to other methods, the proposed method considers the information of the nodes from different distances more comprehensively. For the purpose of showing the effectiveness of the proposed method, experiments on real-world networks are implemented. Promising results indicate the effectiveness of the proposed method.

DVS: Deep Visibility Series and its Application in Construction Cost Index Forecasting

Time series forecasting has always been a hot spot in scientific research. With the development of artificial intelligence, new time series forecasting methods have obtained better forecasting effects and forecasting performance through bionic research and improvements to the past methods. Visibility Graph (VG) algorithm is often used for time series prediction in previous research, but the prediction effect is not as good as deep learning prediction methods such as Artificial Neural Network (ANN), Convolutional Neural Network (CNN) and Long Short-Term Memory Network (LSTM) prediction. The VG algorithm contains a wealth of network information, but previous studies did not effectively use the network information to make predictions, resulting in relatively large prediction errors. In order to solve this problem, this paper proposes the Deep Visibility Series (DVS) module through the bionic design of VG and the expansion of the past research, which is the first time to combine VG with bionic design and deep network. By applying the bionic design of biological vision to VG, the time series of DVS has obtained superior forecast accuracy, which has made a contribution to time series forecasting. At the same time, this paper applies the DVS forecasting method to the construction cost index forecast, which has practical significance.

A modified gravity model based on network efficiency for vital nodes identification in complex networks

Vital nodes identification is an essential problem in network science. Various methods have been proposed to solve this problem. In particular, based on the gravity model, a series of improved gravity models are proposed to find vital nodes better in complex networks. However, they still have the room to be improved. In this paper, a novel and improved gravity model, which is named network efficiency gravity centrality model (NEG), integrates gravity model and network efficiency is proposed. Compared to other methods based on different gravity models, the proposed method considers the effect of the nodes on structure robustness of the network better. To solidate the superiority of the proposed method, experiments on varieties of real-world networks are carried out.

Uncertainty Measurement of Basic Probability Assignment Integrity Based on Approximate Entropy in Evidence Theory

Evidence theory is that the extension of probability can better deal with unknowns and inaccurate information. Uncertainty measurement plays a vital role in both evidence theory and probability theory. Approximate Entropy (ApEn) is proposed by Pincus to describe the irregularities of complex systems. The more irregular the time series, the greater the approximate entropy. The ApEn of the network represents the ability of a network to generate new nodes, or the possibility of undiscovered nodes. Through the association of network characteristics and basic probability assignment (BPA) , a measure of the uncertainty of BPA regarding completeness can be obtained. The main contribution of paper is to define the integrity of the basic probability assignment then the approximate entropy of the BPA is proposed to measure the uncertainty of the integrity of the BPA. The proposed method is based on the logical network structure to calculate the uncertainty of BPA in evidence theory. The uncertainty based on the proposed method represents the uncertainty of integrity of BPA and contributes to the identification of the credibility of BPA.