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Information Bottleneck problem tractable via sufficient statistic reduction

Researchers have demonstrated a method to simplify the Information Bottleneck (IB) problem by reducing it to a lower-dimensional equivalent when a sufficient statistic exists. This reduction is lossless, preserving the entire IB curve and optimal representations. The approach significantly decreases computational complexity, making the IB problem tractable under specific structural conditions and bridging discrete and linear-Gaussian settings. AI

IMPACT Simplifies computational complexity for solving Information Bottleneck problems, potentially enabling new research directions.

RANK_REASON This is a research paper published on arXiv detailing a novel mathematical reduction for a machine learning problem.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Information Bottleneck problem tractable via sufficient statistic reduction

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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Joss Armstrong ·

    A Sufficient-Statistic Reduction of the Information Bottleneck to a Low-Dimensional Problem

    arXiv:2604.26744v1 Announce Type: cross Abstract: We show that if the conditional distribution p(C | T) factors through a sufficient statistic {\phi}(T), then the Information Bottleneck (IB) problem for (T, C) is exactly equivalent to the IB problem for ({\phi}(T), C). The reduct…

  2. arXiv stat.ML TIER_1 English(EN) · Joss Armstrong ·

    A Sufficient-Statistic Reduction of the Information Bottleneck to a Low-Dimensional Problem

    We show that if the conditional distribution p(C | T) factors through a sufficient statistic φ(T), then the Information Bottleneck (IB) problem for (T, C) is exactly equivalent to the IB problem for (φ(T), C). The reduction is loss-free: it preserves the full IB curve, the Lagran…