Space-Time Local Embeddings

Space-time is a profound concept in physics. This concept was shown to be useful for dimensionality reduction. We present basic definitions with interesting counter-intuitions. We give theoretical propositions to show that space-time is a more powerful representation than Euclidean space. We apply this concept to manifold learning for preserving local information. Empirical results on non-metric datasets show that more information can be preserved in space-time.

Authors

• Ke Sun University of Michigan, Ann Arbor; University of California, San Diego
• Jun Wang University College London
• Alexandros Kalousis University Of Geneva, Switzerland
• Stephane Marchand-Maillet

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