arXiv:2602. 23785v2 Announce Type: replace Abstract: We investigate the identifiability of nonlinear canonical correlation analysis (CCA) in a multi-view setup, in which each view is generated by applying an unknown nonlinear map to a linear mixture of shared latent variables plus view-private noise.
By Zhiwei Han, Stefan Matthes, Hao Shen
Unpaired Canonical Correlation Analysis (UCCA) introduces a method for learning linear projections that maximize correlation between views without requiring paired data. By linking the Quadratic Assignment Problem to CCA, the authors derive a practical algorithm that operates solely on unpaired samples. Experiments on real-world multimodal datasets show that UCCA outperforms existing unpaired alignment baselines in recovering true correlations.
By Nir Ben-Ari, Ronen Talmon, Uri Shaham
arXiv:2510. 04758v3 Announce Type: replace Abstract: In this work, we establish the sufficient conditions under which nonlinear Canonical Correlation Analysis (CCA) recovers ground-truth latent factors up to an affine transformation.
By Zhiwei Han, Stefan Matthes, Hao Shen
The paper investigates which data sources should be jointly learned when training shared feature extractors. Focusing on a linear setting where sources share a low‑dimensional subspace, it shows that carefully selecting a subset of sources—an informative subpopulation—can achieve minimax optimal subspace estimation, even when much data is discarded. The authors formalize this notion, propose algorithms and heuristics for identifying such subsets, and validate their effectiveness through theory and experiments on synthetic and real datasets.
By Leo Muxing Wang, Connor Mclaughlin, Lili Su
arXiv:2504. 18455v2 Announce Type: replace-cross Abstract: We study distributed multiview representation learning, a problem in which $K$ clients each observe a distinct but possibly statistically correlated view.
By Milad Sefidgaran, Piotr Krasnowski, Abdellatif Zaidi
arXiv:2608. 13229v1 Announce Type: cross Abstract: We present the mathematical foundations of linear independent component analysis (ICA) models based on standard literature in a self-contained note.
By Patrick Forr\'e