The article investigates the limitations of modern approaches to time series forecasting in complex dynamic and nonlinear processes whose structure may consist of heterogeneous data types. The relevance of the study is driven by the rapid growth of data volumes in information systems, their diversity, and the need to improve forecasting accuracy under conditions of non-stationarity and multifactor influence.
The aim of the research is to analyze modern time series forecasting methods, identify their limitations, and generalize these limitations in the form of a classification, as well as to provide their formalized comparison.
The study employs comparative analysis methods for classical statistical models, machine learning algorithms, deep neural networks, and hybrid approaches based on criteria such as the ability to model nonlinear dependencies, adaptability to non-stationarity, integration of heterogeneous data, scalability, and computational complexity.
As a result, a classification of limitations of time series forecasting methods is proposed, including data-related limitations, model limitations, computational limitations, and system-level limitations. In addition, a formalized comparison of different classes of methods according to the defined criteria is conducted.
It is shown that, in the general case of complex multimodal and non-stationary processes, none of the considered classes of methods ensures the simultaneous achievement of high accuracy, adaptability, scalability, and effective integration of heterogeneous data.
The practical significance of the study lies in the possibility of using the obtained results to justify the need for developing new forecasting approaches capable of comprehensively addressing the structural complexity and dynamic nature of data in modern information systems
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