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The research introduces a hybrid behavioural analysis technique for early detection of anomalous user behavior observed on web applications. This strategy involves statistical probability modeling and sequence- based deep learning to design interpretable and robust anomaly detection. A probability baseline has been obtained as a probabilistic basis using KDE (Kernel Density Estimation) and longitudinal time series patterns are sampled using an LSTM network. The hybrid anomaly score combines these two models to dynamically analyze behavioural deviations.

The article discusses modern information security technologies in distributed and asymmetric systems, as well as problems arising from their implementation in the context of growing cyber threats. An analysis of cryptographic methods, authentication systems, access control, and intrusion detection has been provided. Particular attention has been paid to the limitations of existing technologies and promising areas for their improvement, in particular the use of machine learning methods, block chain technologies, and the Zero Trust concept.

The paper addresses the problem of anomaly detection in network traffic and proposes a comprehensive solution to enhance the level of cybersecurity for organizations of various scales. A comparative analysis of existing monitoring and anomaly detection systems has been carried out, including both open-source solutions and commercial products.

Digital transformation of public services in the context of modern information systems and technologies is a relevant area of research, which is due to the growing demands of society for the quality and speed of public services. In the digital economy, artificial intelligence, machine learning and big data processing technologies play an important role, which can significantly increase the efficiency of public administration.

The study investigates mathematical and computer-based modeling of butt welding of galvanized steel strips employed in the fabrication of reinforcing profiles for window frame systems. The motivation of the research lies in the necessity to improve weld quality and stabilize production processes in industrial window manufacturing. The primary aim is to establish predictive  models capable of accurately estimating the structural strength of welded profiles from critical welding parameters.

This paper proposes a novel architecture of a multi-agent system and its formal specification for analyzing and adaptively correcting students' learning trajectories using software agents in digital learning environments. The proposed approach integrates artificial intelligence tools, tem- poral logic, and a multi-agent system architecture to ensure personalized adaptation of educational content.

The relevance of the research is due to the growing need to automate the processes of text analysis and correction, in particular for Ukrainian-language content, which is characterized by a wealth of morphological and syntactic structure. Due to the wide range of errors that can occur in texts, from spelling to contextual, there is an urgent need to create systems that can accurately identify errors and offer their correct corrections.