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With the emergence of wireless sensor networks (WSNs), many traditional signal processing tasks are required to be computed in a distributed fashion, without transmissions of the raw data to a centralized processing unit, due to the limited…

Signal Processing · Electrical Eng. & Systems 2025-03-03 Cem Ates Musluoglu , Alexander Bertrand

For statistical analysis of functional Magnetic Resonance Imaging (fMRI) data sets, we propose a data-driven approach based on Independent Component Analysis (ICA) implemented in a new version of the AnalyzeFMRI R package. For fMRI data…

Computation · Statistics 2013-07-22 Cécile Bordier , Michel Dojat , Pierre Lafaye de Micheaux

Compressed sensing is a recent set of mathematical results showing that sparse signals can be exactly reconstructed from a small number of linear measurements. Interestingly, for ideal sparse signals with no measurement noise, random…

Information Theory · Computer Science 2009-01-28 Hyun Sung Chang , Yair Weiss , William T. Freeman

Precise object boundary detection for automatic image segmentation is critical for image analysis, including that used in computer-aided diagnosis. However, such detection traditionally uses active contour or snake models requiring accurate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Sinan Onal , Xin Chen , Madagedara Maduka Balasooriya

The electroencephalogram (EEG) provides a non-invasive, minimally restrictive, and relatively low cost measure of mesoscale brain dynamics with high temporal resolution. Although signals recorded in parallel by multiple, near-adjacent EEG…

Signal Processing · Electrical Eng. & Systems 2021-11-30 Luca Pion-Tonachini , Ken Kreutz-Delgado , Scott Makeig

Recent studies indicate that the neurons involved in a cognitive task aren't locally limited but span out to multiple human brain regions. We obtain network components and their locations for the task of listening to music. The recorded EEG…

Neurons and Cognition · Quantitative Biology 2021-10-26 Pranav Sankhe , Ritik Madan

Group studies involving large cohorts of subjects are important to draw general conclusions about brain functional organization. However, the aggregation of data coming from multiple subjects is challenging, since it requires accounting for…

Machine Learning · Statistics 2020-12-25 Hugo Richard , Luigi Gresele , Aapo Hyvärinen , Bertrand Thirion , Alexandre Gramfort , Pierre Ablin

Structural and functional MRI studies of patients with post-stroke language deficits have contributed substantially to our understanding of how cognitive-behavioral impairments relate to the location of structural damage and to the…

Neurons and Cognition · Quantitative Biology 2016-10-14 Joseph C. Griffis , Rodolphe Nenert , Jane B. Allendorfer , Jerzy P. Szaflarski

Finding a basis/coordinate system that can efficiently represent an input data stream by viewing them as realizations of a stochastic process is of tremendous importance in many fields including data compression and computational…

Numerical Analysis · Mathematics 2025-10-20 Bertrand Benichou , Naoki Saito

We present a new algorithm for Independent Component Analysis (ICA) which has provable performance guarantees. In particular, suppose we are given samples of the form $y = Ax + \eta$ where $A$ is an unknown $n \times n$ matrix and $x$ is a…

Machine Learning · Computer Science 2012-11-13 Sanjeev Arora , Rong Ge , Ankur Moitra , Sushant Sachdeva

The performance of upper-limb prostheses is currently limited by the relatively poor functionality of unintuitive control schemes. This paper proposes to extract, from multichannel electromyographic signals (EMG), motor neuron spike trains…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Arash Andalib , Dario Farina , Ivan Vujaklija , Francesco Negro , Oskar C Aszmann , Rizwan Bashirullah , Jose C Principe

In recent years, Independent Component Analysis (ICA) has successfully been applied to remove noise and artifacts in images obtained from Three-dimensional Polarized Light Imaging (3D-PLI) at the mesoscale (i.e., 64 $\mu$m). Here, we…

Medical Physics · Physics 2020-12-01 Kai Benning , Miriam Menzel , Jan Reuter , Markus Axer

Nonlinear ICA is a fundamental problem for unsupervised representation learning, emphasizing the capacity to recover the underlying latent variables generating the data (i.e., identifiability). Recently, the very first identifiability…

Machine Learning · Statistics 2019-02-05 Aapo Hyvarinen , Hiroaki Sasaki , Richard E. Turner

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

Signal modeling lies at the core of numerous signal and image processing applications. A recent approach that has drawn considerable attention is sparse representation modeling, in which the signal is assumed to be generated as a…

Information Theory · Computer Science 2016-11-17 Tomer Peleg , Yonina C. Eldar , Michael Elad

Independent component analysis (ICA) has become a standard data analysis technique applied to an array of problems in signal processing and machine learning. This tutorial provides an introduction to ICA based on linear algebra formulating…

Machine Learning · Computer Science 2014-04-14 Jonathon Shlens

Cognitive brain imaging is accumulating datasets about the neural substrate of many different mental processes. Yet, most studies are based on few subjects and have low statistical power. Analyzing data across studies could bring more…

Machine Learning · Statistics 2021-05-20 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

The statistical dependencies which independent component analysis (ICA) cannot remove often provide rich information beyond the linear independent components. It would thus be very useful to estimate the dependency structure from data.…

Machine Learning · Statistics 2017-07-28 Hiroaki Sasaki , Michael U. Gutmann , Hayaru Shouno , Aapo Hyvärinen

Sparse Principal Component Analysis (sparse PCA) is a fundamental dimension-reduction tool that enhances interpretability in various high-dimensional settings. An important variant of sparse PCA studies the scenario when samples are…

Optimization and Control · Mathematics 2024-11-11 Yuqing He , Guanyi Wang , Yu Yang

Independent Component Analysis (ICA) has recently been shown to be a promising new path in data analysis and de-trending of exoplanetary time series signals. Such approaches do not require or assume any prior or auxiliary knowledge on the…

Earth and Planetary Astrophysics · Physics 2015-06-15 I. P. Waldmann