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Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

Statistics Theory · Mathematics 2012-06-05 Richard J. Samworth , Ming Yuan

Independent component analysis (ICA) is popular in many applications, including cognitive neuroscience and signal processing. Due to computational constraints, principal component analysis is used for dimension reduction prior to ICA…

Methodology · Statistics 2017-10-03 Benjamin B. Risk , David S. Matteson , David Ruppert

Machine learning and data analysis now finds both scientific and industrial application in biology, chemistry, geology, medicine, and physics. These applications rely on large quantities of data gathered from automated sensors and user…

Machine Learning · Computer Science 2017-05-26 Joseph Anderson

While machine learning offers diverse techniques suitable for exploring various medical research questions, a cohesive synergistic framework can facilitate the integration and understanding of new approaches within unified model development…

Machine Learning · Computer Science 2025-01-09 Ramtin Zargari Marandi , Anne Svane Frahm , Jens Lundgren , Daniel Dawson Murray , Maja Milojevic

Independent component analysis (ICA) estimates a demixing matrix that can recover statistically independent sources from linear mixtures. FastICA is a popular ICA algorithm due to its efficiency, but its performance strongly depends on a…

Signal Processing · Electrical Eng. & Systems 2026-04-27 David Watts , Jonathan H. Manton

Recently, nonlinear ICA has surfaced as a popular alternative to the many heuristic models used in deep representation learning and disentanglement. An advantage of nonlinear ICA is that a sophisticated identifiability theory has been…

Machine Learning · Statistics 2023-11-29 Hermanni Hälvä , Jonathan So , Richard E. Turner , Aapo Hyvärinen

Independent component analysis is an unsupervised learning approach for computing the independent components (ICs) from the multivariate signals or data matrix. The ICs are evaluated based on the multiplication of the weight matrix with the…

Cognitive diagnosis is an essential task in many educational applications. Many solutions have been designed in the literature. The deterministic input, noisy "and" gate (DINA) model is a classical cognitive diagnosis model and can provide…

Computers and Society · Computer Science 2022-03-09 Lu Dong , Zhenhua Ling , Qiang Ling , Zefeng Lai

Independent Component Analysis (ICA) is a classical method for recovering latent variables with useful identifiability properties. For independent variables, cumulant tensors are diagonal; relaxing independence yields tensors whose zero…

Statistics Theory · Mathematics 2025-10-10 Alvaro Ribot , Anna Seigal , Piotr Zwiernik

Independent Component Analysis (ICA) aims to recover independent latent variables from observed mixtures thereof. Causal Representation Learning (CRL) aims instead to infer causally related (thus often statistically dependent) latent…

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

Independent Component Analysis (ICA) is a statistical tool that decomposes an observed random vector into components that are as statistically independent as possible. ICA over finite fields is a special case of ICA, in which both the…

Machine Learning · Statistics 2018-11-14 Amichai Painsky , Saharon Rosset , Meir Feder

With their high information density and intuitive readability, charts have become the de facto medium for data analysis and communication across disciplines. Recent multimodal large language models (MLLMs) have made notable progress in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Boran Wang , Xinming Wang , Yi Chen , Xiang Li , Jian Xu , Jing Yuan , Chenglin Liu

With the great success of networks, it witnesses the increasing demand for the interpretation of the internal network mechanism, especially for the net decision-making logic. To tackle the challenge, the Concept-harmonized HierArchical…

Computer Vision and Pattern Recognition · Computer Science 2020-02-06 Dan Wang , Xinrui Cui , Z. Jane Wang

Independent Component Analysis (ICA) is a technique for unsupervised exploration of multi-channel data widely used in observational sciences. In its classical form, ICA relies on modeling the data as a linear mixture of non-Gaussian…

Machine Learning · Statistics 2017-11-30 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

The precise detection of mild cognitive impairment (MCI) is of significant importance in preventing the deterioration of patients in a timely manner. Although hypergraphs have enhanced performance by learning and analyzing brain networks,…

Machine Learning · Computer Science 2025-01-14 Manman Yuan , Weiming Jia , Xiong Luo , Jiazhen Ye , Peican Zhu , Junlin Li

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

Missingness is a common issue for neuroimaging data, and neglecting it in downstream statistical analysis can introduce bias and lead to misguided inferential conclusions. It is therefore crucial to conduct appropriate statistical methods…

Methodology · Statistics 2025-03-25 Tong Lu , Chixiang Chen , Hsin-Hsiung Huang , Peter Kochunov , Elliot Hong , Shuo Chen

In this paper, we develop a generic methodology to encode hierarchical causality structure among observed variables into a neural network in order to improve its predictive performance. The proposed methodology, called causality-informed…

Machine Learning · Computer Science 2024-12-25 Xiaoge Zhang , Xiao-Lin Wang , Fenglei Fan , Yiu-Ming Cheung , Indranil Bose

Analysis of structural and functional connectivity (FC) of human brains is of pivotal importance for diagnosis of cognitive ability. The Human Connectome Project (HCP) provides an excellent source of neural data across different regions of…

Applications · Statistics 2020-07-10 Satwik Acharyya , Zhengwu Zhang , Anirban Bhattacharya , Debdeep Pati