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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

One of the most challenges in medical imaging is the lack of data. It is proven that classical data augmentation methods are useful but still limited due to the huge variation in images. Using generative adversarial networks (GAN) is a…

Image and Video Processing · Electrical Eng. & Systems 2021-04-16 Amine Amyar , Su Ruan , Pierre Vera , Pierre Decazes , Romain Modzelewski

Background: Independent Component Analysis (ICA) is a widespread tool for exploration and denoising of electroencephalography (EEG) or magnetoencephalography (MEG) signals. In its most common formulation, ICA assumes that the signal matrix…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

Deep neural network models owe their representational power to the high number of learnable parameters. It is often infeasible to run these largely parametrized deep models in limited resource environments, like mobile phones. Network…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Ufuk Can Biçici , Cem Keskin , Lale Akarun

In the independent component model, the multivariate data is assumed to be a mixture of mutually independent latent components, and in independent component analysis (ICA) the aim is to estimate these latent components. In this paper we…

Statistics Theory · Mathematics 2020-06-23 Jari Miettinen , Markus Matilainen , Klaus Nordhausen , Sara Taskinen

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

Generative adversarial network (GAN) has greatly improved the quality of unsupervised image generation. Previous GAN-based methods often require a large amount of high-quality training data while producing a small number (e.g., tens) of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Chunpeng Wu , Wei Wen , Yiran Chen , Hai Li

Independent Component Analysis (ICA) was introduced in the 1980's as a model for Blind Source Separation (BSS), which refers to the process of recovering the sources underlying a mixture of signals, with little knowledge about the source…

Statistics Theory · Mathematics 2026-02-09 Syamantak Kumar , Purnamrita Sarkar , Peter Bickel , Derek Bean

Many analyses of functional magnetic resonance imaging (fMRI) examine functional connectivity (FC), or the statistical dependencies among distant brain regions. These analyses are typically exploratory, guiding future confirmatory research.…

Applications · Statistics 2025-10-20 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Independent Component Analysis (ICA) - one of the basic tools in data analysis - aims to find a coordinate system in which the components of the data are independent. Most of existing methods are based on the minimization of the function of…

Statistics Theory · Mathematics 2017-02-01 Przemysław Spurek , Jacek Tabor , Przemysław Rola , Michał Ociepka

Nonlinear independent component analysis (ICA) aims to recover the underlying independent latent sources from their observable nonlinear mixtures. How to make the nonlinear ICA model identifiable up to certain trivial indeterminacies is a…

Machine Learning · Computer Science 2024-02-27 Yujia Zheng , Ignavier Ng , Kun Zhang

Developing Medical AI relies on large datasets and easily suffers from data scarcity. Generative data augmentation (GDA) using AI generative models offers a solution to synthesize realistic medical images. However, the bias in GDA is often…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Chi Liu , Jincheng Liu , Congcong Zhu , Minghao Wang , Sheng Shen , Jia Gu , Tianqing Zhu , Wanlei Zhou

Controlled data generation with GANs is desirable but challenging due to the nonlinearity and high dimensionality of their latent spaces. In this work, we explore image manipulations learned by GANSpace, a state-of-the-art method based on…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Andrey Palaev , Rustam A. Lukmanov , Adil Khan

The estimation of sparse hierarchical components reflecting patterns of the brain's functional connectivity from rsfMRI data can contribute to our understanding of the brain's functional organization, and can lead to biomarkers of diseases.…

Machine Learning · Computer Science 2021-04-22 Dushyant Sahoo , Christos Davatzikos

Deep neural networks (DNNs) are vulnerable to adversarial noises. Adversarial training is a general and effective strategy to improve DNN robustness (i.e., accuracy on noisy data) against adversarial noises. However, DNN models trained by…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Linhai Ma , Liang Liang

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

In recent years, diffusion models have gained popularity for their ability to generate higher-quality images in comparison to GAN models. However, like any other large generative models, these models require a huge amount of data,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Rajesh Shrestha , Bowen Xie

In recent years, there has been growing interest in jointly analyzing a foreground dataset, representing an experimental group, and a background dataset, representing a control group. The goal of such contrastive investigations is to…

Statistics Theory · Mathematics 2026-01-27 Kexin Wang , Aida Maraj , Anna Seigal

Generative Adversarial Networks (GANs) have become increasingly powerful, generating mind-blowing photorealistic images that mimic the content of datasets they were trained to replicate. One recurrent theme in medical imaging is whether…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Youssef Skandarani , Pierre-Marc Jodoin , Alain Lalande

Generative adversarial networks (GANs) have made remarkable achievements in synthesizing images in recent years. Typically, training GANs requires massive data, and the performance of GANs deteriorates significantly when training data is…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Mengping Yang , Zhe Wang , Ziqiu Chi , Dongdong Li , Wenli Du