This paper studies the patent race problem of communication enterprises investing in communication technologies, and constructs a portfolio optimization model which considers the expected returns, investment risks, and replacement costs, in order to achieve the dual goals of maximizing the net investment income of backward enterprises and minimizing the expected investment risk. Through numerical experimental analysis, the optimal investment portfolio strategy under different risk levels and the impact of different risk levels on the net income of lagging company are obtained. The research results show that due to the backward research in the first stage of the backward enterprises, when their own investment decision-making power is relatively high, they can focus on the development of self-interested key technology areas in order to achieve the victory of the patent race.

This paper proposes a framework for highlighting the significance of cultural communication in Islamic thought, sociology, and law, areas deeply intertwined with human values. It examines how Islam presents a clear vision and noble conduct in establishing peace values and fostering principles of tolerance among all. Additionally, it explores the potential of virtual communication networks to promote a culture of peace.

The telecommunications services market faces essential challenges in an increasingly flexible and customer-adaptable environment. Research has highlighted that the monopolization of the spectrum by one operator reduces competition and negatively impacts users and the general dynamics of the sector. This article aims to present a proposal to predict the number of users, the level of traffic, and the operators’ income in the telecommunications market using artificial intelligence. Deep Learning (DL) is implemented through a Long-Short Term Memory (LSTM) as a prediction technique. The database used corresponds to the users, revenues, and traffic of 15 network operators obtained from the Communications Regulation Commission of the Republic of Colombia. The ability of LSTMs to handle temporal sequences, long-term dependencies, adaptability to changes, and complex data management makes them an excellent strategy for predicting and forecasting the telecom market. Various works involve LSTM and telecommunications. However, many questions remain in prediction. Various strategies can be proposed, and continued research should focus on providing cognitive engines to address further challenges. MATLAB is used for the design and subsequent implementation. The low Root Mean Squared Error (RMSE) values and the acceptable levels of Mean Absolute Percentage Error (MAPE), especially in an environment characterized by high variability in the number of users, support the conclusion that the implemented model exhibits excellent performance in terms of precision in the prediction process in both open-loop and closed-loop.

The implementation of the "the Belt and Road" requires the common development of the "five links" of policies, facilities, trade, finance and popular support, among which "people to people connectivity" is the premise of the coordinated promotion of the "five links", and cultural communication, exchange and cooperation are the foundation and guarantee of the popular support project. The "the Belt and Road" cultural communication, exchange and cooperation are diverse in content and form. We need to identify the opportunities and challenges we face, make long-term strategic plans, and take practical countermeasures and implementation paths according to the characteristics of cultural communication diversity. Some domestic scholars have conducted research on cultural communication strategies and analyzed the opportunities and challenges they face, but there is a lack of diversity analysis on the forms of communication that should be adopted. This paper explores and studies the "the Belt and Road" cultural communication strategy, implementation path and safeguard measures, constructs a new model of diversified cultural communication and exchange cooperation, and tries to play a certain role in promoting the actual effect of cultural communication and exchange cooperation and better safeguarding the "the Belt and Road" community of interests.