In this study, a methodology for the formation and immersive visualization of complex physical and technical processes with latent variables in a virtual reality (VR) environment is developed in the form of a three-dimensional spatial structural model. The research focuses on the mathematical formalization of high-dimensional latent space, its transformation into a three-dimensional representation, and the implementation of real-time graphical rendering. The relevance of the research is determined by the growing demand for advanced visualization methods capable of representing complex multidimensional physical phenomena in an intuitive and interactive format. Traditional analytical and graphical approaches often fail to effectively demonstrate the internal relationships between hidden parameters and observable variables. Therefore, the use of immersive virtual reality technologies provides a new paradigm for scientific visualization, allowing researchers and students to explore complex physical processes within an interactive three-dimensional environment. Within the proposed methodology, tensor analysis, multidimensional statistical analysis methods (PCA, t-SNE, UMAP), parametric modeling approaches, and the finite element method (FEM) were applied. In addition, graphical pipeline mechanisms based on Unity 3D and OpenGL were utilized to ensure efficient visualization and interaction [1]. These computational techniques allowed the transformation of high-dimensional datasets into visually interpretable spatial structures while preserving the essential informational relationships between variables.
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