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Can Quantization Reduce Separability?

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I was recently experimenting with the linear separability of embeddings, and showed a graph which indicated the embeddings were substantially more linearly separable than the quantized embeddings. One person commented that this didn’t make sense, and the quantized vectors should be as separable as the non-quantized vectors. That didn’t seem right to me, but on the spot I couldn’t think of a trivial counter example. In this blog, I present two.

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publications

Paper Title Number 4

Published in GitHub Journal of Bugs, 2024

This paper is about fixing template issue #693.

Recommended citation: Your Name, You. (2024). "Paper Title Number 3." GitHub Journal of Bugs. 1(3).
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teaching

Teaching experience 1

Undergraduate course, University 1, Department, 2014

This is a description of a teaching experience. You can use markdown like any other post.

Teaching experience 2

Workshop, University 1, Department, 2015

This is a description of a teaching experience. You can use markdown like any other post.