The Impact of Multiscale Dataset and a Multi-Rate Gradient Descent Approach
Abstract: Data embedded in high-dimensional spaces often follows intrinsic low-dimensional structures, but assuming a consistent scale across all directions may be too idealized. Indeed, empirical observations suggest that data distributions tend to exhibit variability in scale, prompting some important questions: how does this multiscale characteristic of data affect machine learning algorithms? And how can we effectively leverage such information for better outcomes?
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