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Di-Er Tang

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#machine learning Preprint Oct 2026

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

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 t...

Di-Er Tang, Jun Chen · 0 citations
Preprint Sep 2026

Sharp Regret Bounds and a Task-Covariance Correction for Spectral Representation Learning

This work derives alignment-dependent regret bounds, matching worst-case lower bounds for a flat leading spectrum, and bounds using the leading $2k$ directions with a spectral-tail term, and bound the imbalance from random preference patterns and from averaging independent tasks with an isotropic population covariance.

Di-Er Tang, Jing-Yee Tan, Guang-Yue Han · 1 citation
#machine learning Preprint Sep 2026

Mutual Information Constrained Chernoff Bottleneck

The classical information bottleneck (IB) measures the relevance of a representation $U$ of $X$ to a target $Y$ by $I(U;Y)$, which does not directly characterize the error of downstream decisions. For a binary hypothesis $Y$ inferred from many separately encoded observations, the optimal error exponent is the Chernoff...

Di-Er Tang, Guang-Yue Han · 1 citation
#machine learning Preprint Sep 2026

Sharp Rates and a One-Line Correction for Spectral Representation Learning

A self-supervised encoder is trained once, frozen, and reused through lightweight probes on tasks nobody named at training time; the practitioner's question is when the off-the-shelf features are good enough and when they need fixing. Canonical correlation analysis, HGR maximal correlation, and the population optimum o...

Di-Er Tang, Jing-Yee Tan, Guang-Yue Han · 0 citations

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