English
Related papers

Related papers: Continual Learning of Nonlinear Independent Repres…

200 papers

Causal representation learning has emerged as the center of action in causal machine learning research. In particular, multi-domain datasets present a natural opportunity for showcasing the advantages of causal representation learning over…

Machine Learning · Computer Science 2023-12-12 Kartik Ahuja , Amin Mansouri , Yixin Wang

Discovering the complete set of causal relations among a group of variables is a challenging unsupervised learning problem. Often, this challenge is compounded by the fact that there are latent or hidden confounders. When only observational…

Machine Learning · Computer Science 2021-01-19 Anqi Liu , Hao Liu , Tongxin Li , Saeed Karimi-Bidhendi , Yisong Yue , Anima Anandkumar

We consider linear non-Gaussian structural equation models that involve latent confounding. In this setting, the causal structure is identifiable, but, in general, it is not possible to identify the specific causal effects. Instead, a…

Machine Learning · Statistics 2024-08-12 Daniela Schkoda , Elina Robeva , Mathias Drton

Representation learning models exhibit a surprising stability in their internal representations. Whereas most prior work treats this stability as a single property, we formalize it as two distinct concepts: statistical identifiability…

Machine Learning · Computer Science 2026-03-13 Walter Nelson , Marco Fumero , Theofanis Karaletsos , Francesco Locatello

Nonlinear independent component analysis (ICA) aims to uncover the true latent sources from their observable nonlinear mixtures. Despite its significance, the identifiability of nonlinear ICA is known to be impossible without additional…

Machine Learning · Computer Science 2023-11-03 Yujia Zheng , Kun Zhang

A topic of great current interest is Causal Representation Learning (CRL), whose goal is to learn a causal model for hidden features in a data-driven manner. Unfortunately, CRL is severely ill-posed since it is a combination of the two…

Machine Learning · Statistics 2024-06-10 Hiroshi Morioka , Aapo Hyvärinen

Independent component analysis provides a principled framework for unsupervised representation learning, with solid theory on the identifiability of the latent code that generated the data, given only observations of mixtures thereof.…

Machine Learning · Statistics 2022-02-10 Luigi Gresele , Julius von Kügelgen , Vincent Stimper , Bernhard Schölkopf , Michel Besserve

We consider the problem of inferring causal relationships between two or more passively observed variables. While the problem of such causal discovery has been extensively studied especially in the bivariate setting, the majority of current…

Machine Learning · Statistics 2019-04-22 Ricardo Pio Monti , Kun Zhang , Aapo Hyvarinen

The era of big data has witnessed an increasing availability of observational data from mobile and social networking, online advertising, web mining, healthcare, education, public policy, marketing campaigns, and so on, which facilitates…

Machine Learning · Computer Science 2023-03-06 Zhixuan Chu , Ruopeng Li , Stephen Rathbun , Sheng Li

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…

Continual learning aims to provide intelligent agents that are capable of learning continually a sequence of tasks, building on previously learned knowledge. A key challenge in this learning paradigm is catastrophically forgetting…

Machine Learning · Computer Science 2021-01-18 Ghada Sokar , Decebal Constantin Mocanu , Mykola Pechenizkiy

Imitation learning, which learns agent policy by mimicking expert demonstration, has shown promising results in many applications such as medical treatment regimes and self-driving vehicles. However, it remains a difficult task to interpret…

Machine Learning · Computer Science 2024-01-31 Tianxiang Zhao , Wenchao Yu , Suhang Wang , Lu Wang , Xiang Zhang , Yuncong Chen , Yanchi Liu , Wei Cheng , Haifeng Chen

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

Machine Learning · Statistics 2026-05-15 Francesco Montagna

The task of inferring high-level causal variables from low-level observations, commonly referred to as causal representation learning, is fundamentally underconstrained. As such, recent works to address this problem focus on various…

Machine Learning · Statistics 2024-03-26 Simon Bing , Urmi Ninad , Jonas Wahl , Jakob Runge

In recent years, several methods have been proposed for the discovery of causal structure from non-experimental data (Spirtes et al. 2000; Pearl 2000). Such methods make various assumptions on the data generating process to facilitate its…

Machine Learning · Computer Science 2012-07-09 Shohei Shimizu , Aapo Hyvarinen , Yutaka Kano , Patrik O. Hoyer

We propose a deep learning framework for modeling complex high-dimensional densities called Non-linear Independent Component Estimation (NICE). It is based on the idea that a good representation is one in which the data has a distribution…

Machine Learning · Computer Science 2015-04-13 Laurent Dinh , David Krueger , Yoshua Bengio

Model identifiability is a desirable property in the context of unsupervised representation learning. In absence thereof, different models may be observationally indistinguishable while yielding representations that are nontrivially related…

Machine Learning · Statistics 2022-02-15 Shubhangi Ghosh , Luigi Gresele , Julius von Kügelgen , Michel Besserve , Bernhard Schölkopf

Continual learning (CL) aims to train models sequentially over multiple domains without forgetting previously learned knowledge. However, existing CL methods optimize for in-domain performance and are therefore prone to learning spurious,…

Machine Learning · Computer Science 2026-05-18 Pascal Janetzky , Tobias Schlagenhauf , Stefan Feuerriegel

Causal representation learning promises to extend causal models to hidden causal variables from raw entangled measurements. However, most progress has focused on proving identifiability results in different settings, and we are not aware of…

Machine Learning · Computer Science 2025-02-04 Dingling Yao , Caroline Muller , Francesco Locatello

Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the…

Machine Learning · Statistics 2017-10-17 Philemon Brakel , Yoshua Bengio