InfoAtlas: A Foundation Model for Zero-Shot Statistical Dependence Estimate
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Computer Science > Machine Learning
Title:InfoAtlas: A Foundation Model for Zero-Shot Statistical Dependence Estimate
Abstract:Measuring statistical dependency between high-dimensional random variables is a fundamental task in data science and machine learning. Neural mutual information (MI) estimators offer a promising avenue, but they typically require costly iterative optimization for each new dataset, making them impractical for real-time applications. We present InfoAtlas, a foundation model-like architecture that eliminates this bottleneck by directly inferring MI in a single forward pass. Pretrained on large-scale synthetic data with rich dependence patterns, InfoAtlas learns to identify diverse dependence structures and predict MI directly from the dataset. Comprehensive experiments demonstrate that InfoAtlas matches state-of-the-art neural estimators in accuracy while achieving $100\times$ speedup, can flexibly handle varying dimensions and sample sizes through a single unified model, and generalizes effectively to complex, real-world scenarios. By reformulating MI estimation as an inference task, InfoAtlas establishes a foundation for real-time dependency analysis.
| Comments: | Accepted to ICML 2026 |
| Subjects: | Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Machine Learning (stat.ML) |
| Cite as: | arXiv:2606.00241 [cs.LG] |
| (or arXiv:2606.00241v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2606.00241
arXiv-issued DOI via DataCite (pending registration)
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