cs.IT · 2026-10-06 · No. 135

Information Theory, 2026-10-06.

1 new papers in cs.IT. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    On the Cardinality of Optimal Representations in the Binary-Source Information Bottleneck

    Dier Tang, Jun Chen

    cs.IT · cs.LG · math.OC

    The information bottleneck (IB) seeks a representation $U$ of a source $X$ that retains as much information as possible about a target $Y$, subject to a constraint on $I(U;X)$. A classical argument shows that it suffices to consider representations with at most $|\mathcal{X}|+1$ symbols, and this bound is known to be tight whenever $|\mathcal{X}| \geq 3$. We show that the binary case behaves differently: if $X$ is binary and $Y$ is finite,...

    arxiv.org/abs/2610.06627 · PDF

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