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The FastICA algorithm is one of the most popular iterative algorithms in the domain of linear independent component analysis. Despite its success, it is observed that FastICA occasionally yields outcomes that do not correspond to any true…

Machine Learning · Statistics 2014-08-29 Tianwen Wei

The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

Computation · Statistics 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

Independent component analysis (ICA) has been shown to be useful in many applications. However, most ICA methods are sensitive to data contamination and outliers. In this article we introduce a general minimum U-divergence framework for…

Methodology · Statistics 2012-10-23 Peng-Wen Chen , Hung Hung , Osamu Komori , Su-Yun Huang , Shinto Eguchi

Independent component analysis (ICA) is a cornerstone of modern data analysis. Its goal is to recover a latent random vector S with independent components from samples of X=AS where A is an unknown mixing matrix. Critically, all existing…

Machine Learning · Statistics 2018-04-04 Nilin Abrahamsen , Philippe Rigollet

Data-driven soft sensors have been widely applied in complex industrial processes. However, the interpretable spatio-temporal features extraction by soft sensors remains a challenge. In this light, this work introduces a novel method termed…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Qianchao Wang , Peng Sha , Leena Heistrene , Yuxuan Ding , Yaping Du

A central problem in unsupervised deep learning is how to find useful representations of high-dimensional data, sometimes called "disentanglement". Most approaches are heuristic and lack a proper theoretical foundation. In linear…

Machine Learning · Computer Science 2023-09-06 Aapo Hyvarinen , Ilyes Khemakhem , Hiroshi Morioka

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…

The neural implementation of operant conditioning with few trials is unclear. We propose a Hippocampus-Inspired Cognitive Architecture (HICA) as a neural mechanism for operant conditioning. HICA explains a learning mechanism in which agents…

Artificial Intelligence · Computer Science 2022-12-19 Deokgun Park , Md Ashaduzzaman Rubel Mondol , SM Mazharul Islam , Aishwarya Pothula

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

Functional magnetic resonance imaging (fMRI) is a neuroimaging technique known for its ability to capture brain activity non-invasively and at fine spatial resolution (2-3mm). Cortical surface fMRI (cs-fMRI) is a recent development of fMRI…

Applications · Statistics 2023-12-29 Huy Dang , Marzia Cremona , Nicole Lazar , Francesca Chiaromonte

Much recent attention has been paid to quantifying anatomic and functional neuroimaging on the individual subject level. For optimal individual subject characterization, specific acquisition and analysis features need to be identified that…

In independent component analysis it is assumed that the components of the observed random vector are linear combinations of latent independent random variables, and the aim is then to find an estimate for a transformation matrix back to…

Statistics Theory · Mathematics 2015-09-11 Jari Miettinen , Sara Taskinen , Klaus Nordhausen , Hannu Oja

Head-related transfer function (HRTF) plays an important role in the construction of 3D auditory display. This paper presents an individual HRTF modeling method using deep neural networks based on spatial principal component analysis. The…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-07 Mengfan Zhang , Zhongshu Ge , Tiejun Liu , Xihong Wu , Tianshu Qu

Neuroimaging-based prediction methods for intelligence and cognitive abilities have seen a rapid development in literature. Among different neuroimaging modalities, prediction based on functional connectivity (FC) has shown great promise.…

Neurons and Cognition · Quantitative Biology 2023-07-20 Yang Li , Xin Ma , Raj Sunderraman , Shihao Ji , Suprateek Kundu

Full-reference image quality assessment (FR-IQA) models generally operate by measuring the visual differences between a degraded image and its reference. However, existing FR-IQA models including both the classical ones (eg, PSNR and SSIM)…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Kang Xiao , Xu Wang , Yulin He , Baoliang Chen , Xuelin Shen

In this work, we explore Partitioned Independent Component Analysis (PICA), an extension of the well-established Independent Component Analysis (ICA) framework. Traditionally, ICA focuses on extracting a vector of independent source signals…

Statistics Theory · Mathematics 2024-02-16 Marina Garrote-López , Monroe Stephenson

Estimating brain effective connectivity (EC) from functional magnetic resonance imaging (fMRI) data can aid in comprehending the neural mechanisms underlying human behavior and cognition, providing a foundation for disease diagnosis.…

Machine Learning · Computer Science 2025-03-17 Wen Xiong , Jinduo Liu , Junzhong Ji , Fenglong Ma

In this paper, we develop an approach to modeling high-dimensional networks with a large number of nodes arranged in a hierarchical and modular structure. We propose a novel multi-scale factor analysis (MSFA) model which partitions the…

Applications · Statistics 2020-04-10 Chee-Ming Ting , Hernando Ombao , Sh-Hussain Salleh

Motor imagery (MI) classification based on electroencephalogram (EEG) is a widely-used technique in non-invasive brain-computer interface (BCI) systems. Since EEG recordings suffer from heterogeneity across subjects and labeled data…

Signal Processing · Electrical Eng. & Systems 2024-02-16 Shadi Sartipi , Mujdat Cetin

Motivated by risk assessment of coastal flooding, we consider time-consuming simulators with a spatial output. The aim is to perform sensitivity analysis (SA), quantifying the influence of input parameters on the output. There are three…