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Poster
Disentangling Identifiable Features from Noisy Data with Structured Nonlinear ICA
Hermanni Hälvä · Sylvain Le Corff · Luc Lehéricy · Jonathan So · Yongjie Zhu · Elisabeth Gassiat · Aapo Hyvarinen

Thu Dec 09 08:30 AM -- 10:00 AM (PST) @ Virtual
in Poster Session 6 »

We introduce a new general identifiable framework for principled disentanglement referred to as Structured Nonlinear Independent Component Analysis (SNICA). Our contribution is to extend the identifiability theory of deep generative models for a very broad class of structured models. While previous works have shown identifiability for specific classes of time-series models, our theorems extend this to more general temporal structures as well as to models with more complex structures such as spatial dependencies. In particular, we establish the major result that identifiability for this framework holds even in the presence of noise of unknown distribution. Finally, as an example of our framework's flexibility, we introduce the first nonlinear ICA model for time-series that combines the following very useful properties: it accounts for both nonstationarity and autocorrelation in a fully unsupervised setting; performs dimensionality reduction; models hidden states; and enables principled estimation and inference by variational maximum-likelihood.

Keywords: Theory · Generative Model · Representation Learning

Author Information

Hermanni Hälvä (University of Helsinki)
Sylvain Le Corff (Telecom SudParis)
Luc Lehéricy (Université Côte d'Azur)
Jonathan So (University of Cambridge)
Yongjie Zhu (University of Helsinki)
Elisabeth Gassiat (Université Paris-Saclay)
Aapo Hyvarinen (University of Helsinki)

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