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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

This paper proposes a novel method of independent component analysis (ICA), which we name higher-order tensor ICA (HOT-ICA). HOT-ICA is a tensor ICA that makes effective use of the signal categories represented by the axes of a separating…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Seishiro Goto , Ryo Natsuaki , Akira Hirose

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

Machine Learning · Statistics 2018-11-21 Amichai Painsky

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

Linear matrix factorizations (LMFs) such as independent component analysis (ICA), principal component analysis (PCA), and their extensions, have been widely used for finding relevant spatial maps in brain imaging data. The last step of an…

Quantitative Methods · Quantitative Biology 2021-10-14 Hyekyoung Lee , Hyejin Kang , Youngmin Huh , Hongyoon Choi , Dong Soo Lee

Despite the advances of deep learning in specific tasks using images, the principled assessment of image fidelity and similarity is still a critical ability to develop. As it has been shown that Mean Squared Error (MSE) is insufficient for…

Image and Video Processing · Electrical Eng. & Systems 2019-08-27 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

Integrating high-level context information with low-level details is of central importance in semantic segmentation. Towards this end, most existing segmentation models apply bilinear up-sampling and convolutions to feature maps of…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Hanzhe Hu , Yinbo Chen , Jiarui Xu , Shubhankar Borse , Hong Cai , Fatih Porikli , Xiaolong Wang

The analysis of spatial data from biological imaging technology, such as imaging mass spectrometry (IMS) or imaging mass cytometry (IMC), is challenging because of a competitive sampling process which convolves signals from molecules in a…

Machine Learning · Statistics 2025-09-26 Joaquim Valerio Teixeira , Ed Reznik , Sudpito Banerjee , Wesley Tansey

Feature extraction is a method of capturing visual content of an image. The feature extraction is the process to represent raw image in its reduced form to facilitate decision making such as pattern classification. We have tried to address…

Computer Vision and Pattern Recognition · Computer Science 2012-08-13 V. P. Gladis Pushpa Rathi , S. Palani

Functional neuroimaging can measure the brain?s response to an external stimulus. It is used to perform brain mapping: identifying from these observations the brain regions involved. This problem can be cast into a linear supervised…

Machine Learning · Computer Science 2012-07-03 Gael Varoquaux , Alexandre Gramfort , Bertrand Thirion

We generalize the low-rank decomposition problem, such as principal and independent component analysis (PCA, ICA) for continuous-time vector-valued signals and provide a model-agnostic implicit neural signal representation framework to…

Machine Learning · Computer Science 2025-07-15 Shayan K. Azmoodeh , Krishna Subramani , Paris Smaragdis

Independent component analysis (ICA) is a popular tool for investigating brain organization in neuroscience research. In fMRI studies, an important goal is to study how brain networks are modulated by subjects' clinical and demographic…

Computation · Statistics 2020-04-08 Joshua Lukemire , Yikai Wang , Amit Verma , Ying Guo

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

In this paper, we investigate the optimal statistical performance and the impact of computational constraints for independent component analysis (ICA). Our goal is twofold. On the one hand, we characterize the precise role of dimensionality…

Statistics Theory · Mathematics 2023-04-03 Arnab Auddy , Ming Yuan

Autism Spectrum Disorder(ASD) is a set of neurodevelopmental conditions that affect patients' social abilities. In recent years, many studies have employed deep learning to diagnose this brain dysfunction through functional MRI (fMRI).…

Image and Video Processing · Electrical Eng. & Systems 2021-10-26 Li Pan , Jundong Liu , Mingqin Shi , Chi Wah Wong , Kei Hang Katie Chan

Principal Component Analysis (PCA)-based techniques can separate data into different uncorrelated components and facilitate the statistical analysis as a pre-processing step. Independent Component Analysis (ICA) can separate statistically…

Instrumentation and Methods for Astrophysics · Physics 2023-01-03 Güray Hatipoğlu

Independent Component Analysis (ICA) is an important step in EEG processing for a wide-ranging set of applications. However, ICA requires well-designed studies and data collection practices to yield optimal results. Past studies have…

Signal Processing · Electrical Eng. & Systems 2025-06-13 Gwenevere Frank , Seyed Yahya Shirazi , Jason Palmer , Gert Cauwenberghs , Scott Makeig , Arnaud Delorme

This study utilizes Independent Component Analysis (ICA) to unveil a consistent semantic structure within embeddings of words or images. Our approach extracts independent semantic components from the embeddings of a pre-trained model by…

Computation and Language · Computer Science 2023-11-03 Hiroaki Yamagiwa , Momose Oyama , Hidetoshi Shimodaira

Multi-scale features have been proven highly effective for object detection but often come with huge and even prohibitive extra computation costs, especially for the recent Transformer-based detectors. In this paper, we propose Iterative…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Gongjie Zhang , Zhipeng Luo , Zichen Tian , Jingyi Zhang , Xiaoqin Zhang , Shijian Lu

Independent Component Analysis (ICA) is commonly-used in electroencephalogram (EEG) signal processing to remove non-cerebral artifacts from cerebral data. Despite the ubiquity of ICA, the effect of measurement uncertainty on the artifact…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Jennie Couchman , Orestis Kaparounakis , Chatura Samarakoon , Phillip Stanley-Marbell