Bridging Data Science and Big Data Analytics: Mathematical Foundations for Innovation and Scalable Efficiency
Abstract
Big data analytics and data science have revolutionized our ability to extract actionable insights from massive datasets through advanced mathematical methodologies. This article focuses on key aspects such as statistical inference, optimization, and linear algebra, addressing the challenges of ensuring data security and seamless integration despite the complexity of large-scale datasets. By combining empirical evidence from diverse global contexts, the discussion highlights strategies to enhance data-driven decision-making while exploring the ethical dilemmas and privacy concerns associated with big data. Through practical examples and grounded analysis, this work aims to bridge the gap between theoretical understanding and real-world application in data science and analytics