The book "Investigation of neural-like networks working with the average value of stochastic flow" by Lukyanova A. In. It is a deep and comprehensive study that immerses the reader in the world of modern technologies and algorithms associated with neural networks. This dissertation not only reveals the theoretical foundations, but also offers practical solutions for current problems in the field of artificial intelligence and machine learning. In his work, Lukyanov explores how neural networks can effectively process stochastic data flows, which is an important topic in a rapidly changing world where information comes in huge volumes and requires prompt processing. The author focuses on the average values of stochastic flows, which allows you to delve into the analysis and optimization of networks, making them more stable and reliable. This study opens new horizons for the application of neural network technologies in various fields, such as finance, medicine, ecology and many others. The book will be of interest not only to specialists in the field of artificial intelligence and machine learning, but also to students, graduate students, as well as anyone interested in modern scientific developments. Lukyanov offers readers a unique opportunity to get acquainted with advanced methods and approaches that can be applied in real projects. It will become an indispensable tool for those who seek to deepen their knowledge in the field of neuro-like systems and their practical application. The topics raised in the book cover a wide range of issues, including probability theory, statistics, optimization algorithms, and more. Lukyanov not only analyzes existing methods, but also offers his own solutions based on the latest research. This makes the book especially valuable for those who want to be at the forefront of scientific progress and apply the knowledge gained in practice. The author's style is distinguished by clarity and accessibility, which allows even complex concepts to be presented in an understandable and logical form. Lukyanov, as a researcher, has deep knowledge and experience in his field, which gives his work additional value. Readers familiar with his previous work will appreciate the consistency and depth of the analysis that has become his calling card. If you are looking for books on neural networks, machine learning or artificial intelligence, then “Research of neural networks working with an average value of stochastic flow” will be a real find for you. It will not only expand your horizons, but also inspire new ideas and projects. This dissertation is not just a scientific work, but a whole universe of knowledge that is waiting to be discovered. Thus, Lukyanov’s book is not just a study, but an important step in the understanding and application of neuro-like technologies in the modern world. It will become a reliable companion for all who seek new knowledge and want to be aware of the latest achievements of science. Do not miss the opportunity to touch on advanced ideas and methods that can change our understanding of the future of technology.