arXiv Machine Learning By Giulio Franzese, Simone Rossi, Pietro Michiardi

ALICE: In-context, Zero-shot, Mutual Information Estimation

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ALICE is a foundation model that estimates mutual information (MI) without per‑distribution training. Trained only on synthetic distributions, it acts as an in‑context estimator of rectified‑flow velocity fields, producing MI via a fixed identity that integrates squared differences between joint and conditional fields. The authors validate ALICE on a challenging benchmark and demonstrate its applicability to unseen data in biology, genetics, and neuroscience, achieving performance comparable to neural estimators trained separately for each distribution.

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arXiv Statistics ML
2d ago

Zero Flux: Flow-Based Comparison of High-Dimensional Discrete Distributions

The paper introduces the Zero Flux criterion, a flow‑based method for comparing high‑dimensional discrete distributions. By extending a vector‑field approach from continuous to discrete settings, it defines local probability fluxes that vanish at the midpoint if and only if the two distributions are identical. The authors provide finite‑sample error bounds and demonstrate the method’s effectiveness on synthetic and real categorical data for detecting sparse dependence and tracking distribution shifts.

By Leyang Wang, Yakun Wang, Song Liu, Taiji Suzuki