TY - M-10447 AU - Gotur, Goutam AU - Saravana Kumar, Dr TI - A Comprehensive Analysis of Linear Algebra-Based Performance Modeling and Enterprise Invoice Processing T2 - Scientific Research Journal of Science, Engineering and Technology PY - 2026 VL - 4 IS - 1 SN - 2584-0584 AB - Hybrid artificial intelligence architectures combining traditional computational methods with neural network residuals represent a paradigm shift in addressing complex real-world challenges. This report synthesizes two complementary approaches: (1) linear algebra-based digital system performance modeling that leverages matrix-vector operations enhanced with neural network approximators, and (2) optical character recognition (OCR) integrated with large language models (LLMs) for automated invoice processing in e-commerce environments. Both methodologies exemplify the principle of interpretability-efficiency trade-offs in modern AI systems. This work demonstrates how decomposing complex problems into interpretable baselines with neural residuals yields superior performance in accuracy, inference speed, and scalability compared to monolithic deep learning approaches. The report presents mathematical formulations, implementation strategies, empirical validation, and practical deployment considerations across diverse application domains. KW - Hybrid AI systems KW - Linear Algebra KW - Neural Networks KW - Large Language Models KW - OCR KW - Performance Modeling KW - Automated data extraction KW - E-commerce KW - Interpretability KW - Scalability DO -