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这是一篇来自science杂志的论文，非常经典！介绍了测地距离在流行降维中的应用。Scientists working with large volumes of high-dimensional data, such as globalclimate patterns, stellar spectra, or human gene distributions, regularly confrontthe problem of dimensionality reduction: Þnding meaningful low-dimensionalstructures hidden in their high-dimensional observations. The humanbrain confronts the same problem in everyday perception, extracting from itshigh-dimensional sensory inputsÑ30,000 auditory nerve Þbers or 106 opticnerve Þber
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