Mean value(centroid) of a collection of vectors

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SUMMARY

The discussion centers on calculating the centroid of a collection of vectors in a high-dimensional Euclidean space, specifically with 72 dimensions. The user seeks to determine a representative vector that indicates the clustering of these vectors, which is essential for their machine learning algorithm. They plan to incorporate new vectors based on cosine similarity to the computed centroid. A relevant resource was shared, detailing the centroid calculation methodology.

PREREQUISITES
  • Understanding of Euclidean space and vector mathematics
  • Familiarity with centroid calculation techniques
  • Knowledge of cosine similarity in vector analysis
  • Basic concepts of machine learning algorithms
NEXT STEPS
  • Research methods for calculating centroids in high-dimensional spaces
  • Explore the application of cosine similarity in vector clustering
  • Learn about dimensionality reduction techniques for high-dimensional data
  • Investigate machine learning algorithms that utilize centroid-based clustering
USEFUL FOR

Data scientists, machine learning practitioners, and researchers working with high-dimensional vector data who need to understand centroid calculations and clustering techniques.

daveronan
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If I have a collection of vectors in very high euclidean space(n=72). How do I find the mean value of all the vectors? Maybe I'm using the incorrect terminology. Maybe I want to find the centroid of where all these vectors are?? I'm working on a machine learning algorithm. Any help would be greatly appreciated.
 
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I'm essentially looking a for a vector that would give a good indication of where all the other vectors are clustered together. I hope to add new vectors to this group based on cosine similarity of the new vector and the mean value.
 

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