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Different brain imaging modalities offer unique insights into brain function and structure. Combining them enhances our understanding of neural mechanisms. Prior multimodal studies fusing functional MRI (fMRI) and structural MRI (sMRI) have…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Oktay Agcaoglu , Rogers F. Silva , Deniz Alacam , Sergey Plis , Tulay Adali , Vince Calhoun

EEG continues to find a multitude of uses in both neuroscience research and medical practice, and independent component analysis (ICA) continues to be an important tool for analyzing EEG. A multitude of ICA algorithms for EEG decomposition…

Signal Processing · Electrical Eng. & Systems 2023-11-03 Gwenevere Frank , Seyed Yahya Shirazi , Jason Palmer , Gert Cauwenberghs , Scott Makeig , Arnaud Delorme

Sparse principal component analysis (sPCA) enhances the interpretability of principal components (PCs) by imposing sparsity constraints on loading vectors (LVs). However, when used as a precursor to independent component analysis (ICA) for…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Muhammad Usman Khalid

Sparse deep neural networks have proven to be efficient for predictive model building in large-scale studies. Although several works have studied theoretical and numerical properties of sparse neural architectures, they have primarily…

Machine Learning · Statistics 2023-09-18 Sanket Jantre , Shrijita Bhattacharya , Tapabrata Maiti

We study high-dimensional sparse estimation under three natural constraints: communication constraints, local privacy constraints, and linear measurements (compressive sensing). Without sparsity assumptions, it has been established that…

Data Structures and Algorithms · Computer Science 2022-03-15 Jayadev Acharya , Clément L. Canonne , Ziteng Sun , Himanshu Tyagi

In this paper we develop a new approach to sparse principal component analysis (sparse PCA). We propose two single-unit and two block optimization formulations of the sparse PCA problem, aimed at extracting a single sparse dominant…

Optimization and Control · Mathematics 2008-12-01 Michel Journée , Yurii Nesterov , Peter Richtárik , Rodolphe Sepulchre

Exploring deep convolutional neural networks of high efficiency and low memory usage is very essential for a wide variety of machine learning tasks. Most of existing approaches used to accelerate deep models by manipulating parameters or…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Chuanjian Liu , Yunhe Wang , Kai Han , Chunjing Xu , Chang Xu

Multi-regional interaction among neuronal populations underlies the brain's processing of rich sensory information in our daily lives. Recent neuroscience and neuroimaging studies have increasingly used naturalistic stimuli and experimental…

Neurons and Cognition · Quantitative Biology 2021-06-08 Yu Takagi , Laurence T. Hunt , Ryu Ohata , Hiroshi Imamizu , Jun-ichiro Hirayama

Inspired by the robustness and efficiency of sparse representation in sparse coding based image restoration models, we investigate the sparsity of neurons in deep networks. Our method structurally enforces sparsity constraints upon hidden…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Yuchen Fan , Jiahui Yu , Yiqun Mei , Yulun Zhang , Yun Fu , Ding Liu , Thomas S. Huang

Principal component analysis (PCA) is possibly one of the most widely used statistical tools to recover a low-rank structure of the data. In the high-dimensional settings, the leading eigenvector of the sample covariance can be nearly…

Statistics Theory · Mathematics 2015-04-06 Chao Gao , Harrison H. Zhou

The emergence of deep and large-scale spiking neural networks (SNNs) exhibiting high performance across diverse complex datasets has led to a need for compressing network models due to the presence of a significant number of redundant…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Yaxin Li , Qi Xu , Jiangrong Shen , Hongming Xu , Long Chen , Gang Pan

Many neuroimaging studies focus on the cortex, in order to benefit from better signal to noise ratios and reduced computational burden. Cortical data are usually projected onto a reference mesh, where subsequent analyses are carried out.…

Computer Vision and Pattern Recognition · Computer Science 2017-04-28 Nicolas Honnorat , Christos Davatzikos

Multi-task learning is frequently used to model a set of related response variables from the same set of features, improving predictive performance and modeling accuracy relative to methods that handle each response variable separately.…

Methodology · Statistics 2023-08-11 Snigdha Panigrahi , Natasha Stewart , Chandra Sekhar Sripada , Elizaveta Levina

We analyze the dynamics of an online algorithm for independent component analysis in the high-dimensional scaling limit. As the ambient dimension tends to infinity, and with proper time scaling, we show that the time-varying joint empirical…

Machine Learning · Computer Science 2017-11-08 Chuang Wang , Yue M. Lu

We present a new, fast, algorithm for the separation of astrophysical components superposed in maps of the sky, based on the fast Independent Component Analysis technique (FastICA). It allows to recover both the spatial pattern and the…

The extended infomax algorithm for independent component analysis (ICA) can separate sub- and super-Gaussian signals but converges slowly as it uses stochastic gradient optimization. In this paper, an improved extended infomax algorithm is…

Methodology · Statistics 2024-04-10 Nicole Ille

This paper introduces a novel sparse latent factor modeling framework using sparse asymptotic Principal Component Analysis (APCA) to analyze the co-movements of high-dimensional panel data over time. Unlike existing methods based on sparse…

Methodology · Statistics 2025-08-08 Zhaoxing Gao

Independent component analysis (ICA) is the most popular method for blind source separation (BSS) with a diverse set of applications, such as biomedical signal processing, video and image analysis, and communications. Maximum likelihood…

Machine Learning · Statistics 2016-10-25 Zois Boukouvalas , Rami Mowakeaa , Geng-Shen Fu , Tulay Adali

Functional magnetic resonance imaging (fMRI) has become instrumental in researching brain function. One application of fMRI is investigating potential neural features that distinguish people with autism spectrum disorder (ASD) from healthy…

Image and Video Processing · Electrical Eng. & Systems 2024-12-19 Sjir J. C. Schielen , Jesper Pilmeyer , Albert P. Aldenkamp , Danny Ruijters , Svitlana Zinger

Independent Component Analysis (ICA) is a statistical method often used to decompose a complex dataset in its independent sub-parts. It is a powerful technique to solve a typical Blind Source Separation problem. A fast calculation of the…

Astrophysics · Physics 2007-05-23 C. Cecchi , F. Marcucci , G. Tosti