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cs.IT updates on arXiv.org

Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? 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Pcodec: Better Compression for Numerical Sequences
Martin Loncaric, Niels Jeppesen, Ben Zinberg · 2025-02-10 · via cs.IT updates on arXiv.org

We present Pcodec (Pco), a format and algorithm for losslessly compressing numerical (float or integer) sequences. Pco's core and most novel component is a binning algorithm that quickly converges to the true entropy of smoothly, independently, and identically distributed (SIID) integers. We mathematically prove this convergence with a practical bound. To accommodate data this is not SIID, Pco has two opinionated preprocessing steps. The first step, Pco's mode, decomposes the numbers into more smoothly distributed integer latent variables. The second step, delta encoding, makes the latents more independently and identically distributed. We demonstrate that Pco achieves 29-94% higher compression ratio than other numerical codecs on six real-world columnar datasets while using less compression time.

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