arXiv Machine Learning By Zhiwei Han, Stefan Matthes, Hao Shen

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors

Read the original on arXiv Machine Learning →

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.

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arXiv Machine Learning
Jul 10

Provable Subspace Identification of Nonlinear Multi-view CCA

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
arXiv Machine Learning
Jun 16

InfoNCE Induces Gaussian Distribution

arXiv:2602. 24012v2 Announce Type: replace Abstract: Contrastive learning has become a cornerstone of modern representation learning, allowing training with massive unlabeled data for both task-specific and general (foundation) models.

By Roy Betser, Eyal Gofer, Meir Yossef Levi, Guy Gilboa
arXiv Machine Learning
Jul 28

Beyond ICA: Identifiability by Symmetry Breaking

arXiv:2607. 23182v1 Announce Type: cross Abstract: We prove the identifiability of deep generative models (DGMs) with piecewise-affine (PWA) decoders and Gaussian mixture model (GMM) priors, in a purely unsupervised setting.

By Pengzhou Wu