Book Description: Near Extensions and Alignment of Data in R^n - Whitney extensions of near isometries, shortest paths, equidistribution clustering, and nonrigid alignment of data in Euclidean space Steven B. Damelin November 20, 2023 9781394196777 Summary: In this groundbreaking book, [Your Name] delves into the intricate world of mathematical concepts and their applications in modern technology, specifically in the fields of data science, computer vision, and manifold learning. The Whitney Near Extension Problem serves as the foundation for exploring new insights, tools, and techniques that have the potential to revolutionize our understanding of these disciplines. This comprehensive resource provides a detailed description of the plot, uncovering previously unknown connections between various research problems in engineering mathematics and data science. The book begins by introducing the fundamental concepts of Whitney extension problems, laying the foundation for the subsequent chapters that explore the mathematical richness of near Whitney extension problems. These chapters demonstrate the versatility and power of near Whitney extension problems in addressing challenges in data science, signal processing, and optimal transport. As the reader progresses through the book, they will discover the connections between near Whitney extension problems and the alignment of data in Euclidean space, an area of immense interest in computer vision.

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