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Here we introduce a hybrid optimization framework that integrates Neural Tangent Kernel (NTK) theory with Stochastic Gradient Descent (SGD). The approach leverages NTK-based initialization to stabilize early training, followed by SGD fine-tuning to enable adaptability and scalability. I evaluate this method on diverse datasets including ISIC 2018 (skin lesion analysis), NIH ChestX-ray14 (radiography), Tiny ImageNet (natural image classification), and UCI HAR (sensorbased activity recognition). Across all benchmarks, the hybrid NTK-SGD method consistently outperforms NTK-only baselines and matches or exceeds standard SGD, while delivering faster convergence and improved robustness to adversarial noise. By uniting theory-driven stability with data-driven flexibility, NTKSGD offers a generalizable, interpretable, and computationally efficient training strategy. These results highlight its potential for cross-domain deployment in medical, environmental, and industrial AI applications, where both accuracy and resilience are critical. Biological sciences/Computational biology and bioinformatics Physical sciences/Engineering Physical sciences/Mathematics and computing Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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