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We propose an extension of non-parametric multivariate finite mixture models by dropping the standard conditional independence assumption and incorporating the independent component analysis (ICA) structure instead. We formulate an…

Methodology · Statistics 2018-09-11 Xiaotian Zhu , David R. Hunter

We present a framework for learning disentangled and interpretable jointly continuous and discrete representations in an unsupervised manner. By augmenting the continuous latent distribution of variational autoencoders with a relaxed…

Machine Learning · Statistics 2018-10-23 Emilien Dupont

A parameter of a mathematical model is structurally identifiable if it can be determined from noiseless experimental data. Here, we examine the identifiability properties of two important classes of linear compartmental models:…

Sparse identification of nonlinear dynamics (SINDy) has been widely used to discover the governing equations of a dynamical system from data. It uses sparse regression techniques to identify parsimonious models of unknown systems from a…

Methodology · Statistics 2026-04-07 Kairui Ding

Nonlinear independent component analysis (ICA) is a general framework for unsupervised representation learning, and aimed at recovering the latent variables in data. Recent practical methods perform nonlinear ICA by solving a series of…

Machine Learning · Computer Science 2019-11-04 Hiroaki Sasaki , Takashi Takenouchi , Ricardo Monti , Aapo Hyvärinen

In unsupervised causal representation learning for sequential data with time-delayed latent causal influences, strong identifiability results for the disentanglement of causally-related latent variables have been established in stationary…

Machine Learning · Computer Science 2024-08-02 Xiangchen Song , Weiran Yao , Yewen Fan , Xinshuai Dong , Guangyi Chen , Juan Carlos Niebles , Eric Xing , Kun Zhang

We address the problem of distinguishing cause from effect in bivariate setting. Based on recent developments in nonlinear independent component analysis (ICA), we train nonparametrically general nonlinear causal models that allow…

Machine Learning · Statistics 2021-01-19 Pengzhou Wu , Kenji Fukumizu

Domain Generalization (DG) aims to learn a generalizable model on the unseen target domain by only training on the multiple observed source domains. Although a variety of DG methods have focused on extracting domain-invariant features, the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Xi Yu , Huan-Hsin Tseng , Shinjae Yoo , Haibin Ling , Yuewei Lin

Discovery of dynamical systems from data forms the foundation for data-driven modeling and recently, structure-preserving geometric perspectives have been shown to provide improved forecasting, stability, and physical realizability…

Machine Learning · Computer Science 2021-09-14 Kookjin Lee , Nathaniel Trask , Panos Stinis

In order to extract governing equations from time-series data, various approaches are proposed. Among those, sparse identification of nonlinear dynamics (SINDy) stands out as a successful method capable of modeling governing equations with…

Signal Processing · Electrical Eng. & Systems 2024-06-07 Jinho Choi

Independent Component Analysis (ICA) plays a central role in modern machine learning as a flexible framework for feature extraction. We introduce a horseshoe-type prior with a latent Polya-Gamma scale mixture representation, yielding…

Methodology · Statistics 2025-11-17 Jyotishka Datta , Soham Ghosh , Nicholas G. Polson

Independent Component Analysis (ICA) offers interpretable semantic components of embeddings. While ICA theory assumes that embeddings can be linearly decomposed into independent components, real-world data often do not satisfy this…

Computation and Language · Computer Science 2024-10-10 Momose Oyama , Hiroaki Yamagiwa , Hidetoshi Shimodaira

Unsupervised feature learning algorithms based on convolutional formulations of independent components analysis (ICA) have been demonstrated to yield state-of-the-art results in several action recognition benchmarks. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Sotirios P. Chatzis

Encoding models provide a powerful framework for linking continuous stimulus features to neural activity; however, traditional voxelwise approaches are limited by measurement noise, inter-subject variability, and redundancy arising from…

Computation and Language · Computer Science 2026-04-29 Kamya Hari , Taha Binhuraib , Jin Li , Cory Shain , Anna A. Ivanova

Unsupervised representation learning, particularly sequential disentanglement, aims to separate static and dynamic factors of variation in data without relying on labels. This remains a challenging problem, as existing approaches based on…

Machine Learning · Computer Science 2025-10-08 Hedi Zisling , Ilan Naiman , Nimrod Berman , Supasorn Suwajanakorn , Omri Azencot

The rapid proliferation of image generation models and other artificial intelligence (AI) systems has intensified concerns regarding data privacy and user consent. As the availability of public datasets declines, major technology companies…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Ishrak Hamim Mahi , Siam Ferdous , Md Sakib Sadman Badhon , Nabid Hasan Omi , Md Habibun Nabi Hemel , Farig Yousuf Sadeque , Md. Tanzim Reza

Structural identifiability is an important property of parametric ODE models. When conducting an experiment and inferring the parameter value from the time-series data, we want to know if the value is globally, locally, or non-identifiable.…

Discrete Mathematics · Computer Science 2024-06-25 Natali Gogishvili

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

Systems and Control · Computer Science 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

We propose a new method for training iterative collective classifiers for labeling nodes in network data. The iterative classification algorithm (ICA) is a canonical method for incorporating relational information into classification. Yet,…

Machine Learning · Computer Science 2017-03-21 Shuangfei Fan , Bert Huang

In neural-based audio feature extraction, ensuring that representations capture disentangled information is crucial for model interpretability. However, existing disentanglement methods often rely on assumptions that are highly dependent on…

Sound · Computer Science 2025-10-07 Benoit Ginies , Xiaoyu Bie , Olivier Fercoq , Gaël Richard