arXiv Machine Learning By Alina Harbuzova, Or Ordentlich, Yury Polyanskiy

Price of metric universality in vector quantization is at most 0.11 bit

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arXiv:2602. 05790v2 Announce Type: replace-cross Abstract: Fast computation of a matrix product $W^\top X$ is a workhorse of modern LLMs.

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arXiv AI
Jun 10

Minimum Distortion Quantization with Specified Output Distribution

arXiv:2606. 10458v1 Announce Type: cross Abstract: We derive the optimal quantizer of a real-valued random variable $W$ with distribution $P_W$ such that 1) the distribution of the quantization output $X$ that can take $k$ values follows any specified distribution $P_X$ over $\{1,\ldots,k\}$, and 2) the minimum mean squared error (MMSE) of estimating $W$ from $X$ is minimized.

By Aolin Xu