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Locally Linear Embedding

This presentation details our approach to utilizing Locally Linear Embedding (LLE) for dimensionality reduction while ensuring local neighborhood relationships are maintained. We present a comprehensive problem description, followed by our implementation tasks which involve generating data and executing LLE to analyze the results. A live demonstration will showcase our findings, highlighting the importance of local structure in effective mappings. Lastly, we outline our future work and plans to collaborate with Professor Singh for further development.

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Locally Linear Embedding

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Presentation Transcript

  1. Locally Linear Embedding Think globally, fit locally Okke Formsma, Per Løwenborg and Nicolas Roussis

  2. The next 15 minutes: • Problem description • Implementation • Results so far • Demonstration • Future work

  3. Problem Description

  4. We need a little example here of what we are trying to accomplish. • Then, we say HOW we try to do this • By making sure that the local neighbourhood is preserved when creating a lower dimensional mapping

  5. Implementation

  6. Tasks • Generate data • Perform locally linear embedding • Show results

  7. Demo

  8. Future work • We need to talk with professor Singh about this

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