Independent Component Analysis

Independent component analysis (ICA) is a statistical and computational technique for revealing hidden factors that underlie sets of random variables, measurements, or signals.

ICA defines a generative model for the observed multivariate data, which is typically given as a large database of samples. In the model, the data variables are assumed to be linear mixtures of some unknown latent variables, and the mixing system is also unknown. The latent variables are assumed nongaussian and mutually independent, and they are called the independent components of the observed data. These independent components, also called sources or factors, can be found by ICA.

ICA is superficially related to principal component analysis and factor analysis. ICA is a much more powerful technique, however, capable of finding the underlying factors or sources when these classic methods fail completely.

Extracted from (https://www.cs.helsinki.fi/u/ahyvarin/whatisica.shtml)

Source papers:

Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture

Independent component analysis, A new concept?

Independent component analysis: algorithms and applications

Latest Papers

PAPER DATE
Nonlinear ISA with Auxiliary Variables for Learning Speech Representations
Amrith SetlurBarnabas PoczosAlan W Black
2020-07-25
Automated Intracranial Artery Labeling using a Graph Neural Network and Hierarchical Refinement
| Li ChenThomas HatsukamiJenq-Neng HwangChun Yuan
2020-07-11
On Linear Identifiability of Learned Representations
Geoffrey RoederLuke MetzDiederik P. Kingma
2020-07-01
Hidden Markov Nonlinear ICA: Unsupervised Learning from Nonstationary Time Series
| Hermanni HälväAapo Hyvärinen
2020-06-22
Independent Component Analysis for Trustworthy Cyberspace during High Impact Events: An Application to Covid-19
Zois BoukouvalasChristine MallinsonEvan CrothersNathalie JapkowiczAritran PiplaiSudip MittalAnupam JoshiTülay Adalı
2020-06-01
Deep Learning and Bayesian Deep Learning Based Gender Prediction in Multi-Scale Brain Functional Connectivity
Gengyan ZhaoGyujoon HwangCole J. CookFang LiuMary E. MeyerandRasmus M. Birn
2020-05-18
Early soft and flexible fusion of EEG and fMRI via tensor decompositions
Christos ChatzichristosEleftherios KofidisLieven De LathauwerSergios TheodoridisSabine Van Huffel
2020-05-12
Understanding l4-based Dictionary Learning: Interpretation, Stability, and Robustness
| Yuexiang ZhaiHermish MehtaZhengyuan ZhouYi Ma
2020-05-01
Hybrid 2-stage Imperialist Competitive Algorithm with Ant Colony Optimization for Solving Multi-Depot Vehicle Routing Problem
Ivars DzalbsTatiana Kalganova
2020-04-07
Imperialist Competitive Algorithm with Independence and Constrained Assimilation for Solving 0-1 Multidimensional Knapsack Problem
Ivars DzalbsTatiana KalganovaIan Dear
2020-03-14
Amateur Drones Detection: A machine learning approach utilizing the acoustic signals in the presence of strong interference
Zahoor UddinMuhammad AltafMuhammad BilalLewis NkenyereyeAli Kashif Bashir
2020-02-28
ICE-BeeM: Identifiable Conditional Energy-Based Deep Models Based on Nonlinear ICA
| Ilyes KhemakhemRicardo Pio MontiDiederik P. KingmaAapo Hyvärinen
2020-02-26
Learning Bijective Feature Maps for Linear ICA
Alexander CamutoMatthew WillettsBrooks PaigeChris HolmesStephen Roberts
2020-02-18
Disentanglement by Nonlinear ICA with General Incompressible-flow Networks (GIN)
Peter SorrensonCarsten RotherUllrich Köthe
2020-01-14
WICA: nonlinear weighted ICA
| Andrzej BedychajPrzemysław SpurekAleksandra NowakJacek Tabor
2020-01-13
Robust Pose Invariant Shape and Texture based Hand Recognition
F. SohelA. El-SallamM. Bennamoun
2019-12-22
Using image-extracted features to determine heart rate and blink duration for driver sleepiness detection
Erfan DarziArmin Mohammadie-ZandHamid Soltanian-Zadeh
2019-11-04
Robust contrastive learning and nonlinear ICA in the presence of outliers
Hiroaki SasakiTakashi TakenouchiRicardo MontiAapo Hyvärinen
2019-11-01
Improved Differentially Private Decentralized Source Separation for fMRI Data
Hafiz ImtiazJafar MohammadiRogers SilvaBradley BakerSergey M. PlisAnand D. SarwateVince Calhoun
2019-10-28
Likelihood-Free Overcomplete ICA and Applications in Causal Discovery
| Chenwei DingMingming GongKun ZhangDacheng Tao
2019-09-04
ProSper -- A Python Library for Probabilistic Sparse Coding with Non-Standard Priors and Superpositions
Georgios ExarchakisJörg BornscheinAbdul-Saboor SheikhZhenwen DaiMarc HennigesJakob DrefsJörg Lücke
2019-08-01
Variational Autoencoders and Nonlinear ICA: A Unifying Framework
| Ilyes KhemakhemDiederik P. KingmaRicardo Pio MontiAapo Hyvärinen
2019-07-10
Modified swarm-based metaheuristics enhance Gradient Descent initialization performance: Application for EEG spatial filtering
Mojtaba MoattariMohammad Hassan MoradiReza Boostani
2019-06-13
Deep learning analysis of coronary arteries in cardiac CT angiography for detection of patients requiring invasive coronary angiography
Majd ZreikRobbert W. van HamersveltNadieh KhaliliJelmer M. WolterinkMichiel VoskuilMax A. ViergeverTim LeinerIvana Išgum
2019-06-11
Independent Component Analysis based on multiple data-weighting
Andrzej BedychajPrzemysław SpurekŁukasz StruskimJacek Tabor
2019-05-31
The Incomplete Rosetta Stone Problem: Identifiability Results for Multi-View Nonlinear ICA
Luigi GreselePaul K. RubensteinArash MehrjouFrancesco LocatelloBernhard Schölkopf
2019-05-16
Free Component Analysis: Theory, Algorithms & Applications
Hao WuRaj Rao Nadakuditi
2019-05-05
ISA-VAE: Independent Subspace Analysis with Variational Autoencoders
Jan StühmerRichard TurnerSebastian Nowozin
2019-05-01
Learning gradient-based ICA by neurally estimating mutual information
Hlynur Davíð HlynssonLaurenz Wiskott
2019-04-22
Causal Discovery with General Non-Linear Relationships Using Non-Linear ICA
Ricardo Pio MontiKun ZhangAapo Hyvarinen
2019-04-19
A constrained ICA-EMD Model for Group Level fMRI Analysis
Simon WeinAna Maria ToméMarkus GoldhackerMark W. GreenleeElmar W. Lang
2019-03-22
Non-linear ICA based on Cramer-Wold metric
Przemysław SpurekAleksandra NowakJacek TaborŁukasz MaziarkaStanisław Jastrzębski
2019-03-01
Biologically plausible deep learning -- but how far can we go with shallow networks?
| Bernd IllingWulfram GerstnerJohanni Brea
2019-02-27
Learning Compositional Representations of Interacting Systems with Restricted Boltzmann Machines: Comparative Study of Lattice Proteins
Jérôme TubianaSimona CoccoRémi Monasson
2019-02-18
Visualizing Topographic Independent Component Analysis with Movies
Zhimin ChenDarius ParvinMaedbh KingSusan Hao
2019-01-24
ICLabel: An automated electroencephalographic independent component classifier, dataset, and website
| Luca Pion-TonachiniKen Kreutz-DelgadoScott Makeig
2019-01-22
Dimensionality Reduction and (Bucket) Ranking: a Mass Transportation Approach
Mastane AchabAnna KorbaStephan Clémençon
2018-10-15
Linear Independent Component Analysis over Finite Fields: Algorithms and Bounds
Amichai PainskySaharon RossetMeir Feder
2018-09-16
PhD Dissertation: Generalized Independent Components Analysis Over Finite Alphabets
Amichai Painsky
2018-09-13
On the achievability of blind source separation for high-dimensional nonlinear source mixtures
Takuya IsomuraTaro Toyoizumi
2018-08-02
Non-Gaussian Component Analysis using Entropy Methods
Navin GoyalAbhishek Shetty
2018-07-13
Deep Density Destructors
| David InouyePradeep Ravikumar
2018-07-01
Accelerating likelihood optimization for ICA on real signals
Pierre AblinJean-François CardosoAlexandre Gramfort
2018-06-25
Robustifying Independent Component Analysis by Adjusting for Group-Wise Stationary Noise
Niklas PfisterSebastian WeichwaldPeter BühlmannBernhard Schölkopf
2018-06-04
Stochastic algorithms with descent guarantees for ICA
| Pierre AblinAlexandre GramfortJean-François CardosoFrancis Bach
2018-05-25
Nonlinear ICA Using Auxiliary Variables and Generalized Contrastive Learning
Aapo HyvarinenHiroaki SasakiRichard E. Turner
2018-05-22
Independent Component Analysis via Energy-based and Kernel-based Mutual Dependence Measures
Ze JinDavid S. Matteson
2018-05-17
Randomized ICA and LDA Dimensionality Reduction Methods for Hyperspectral Image Classification
Chippy JayaprakashBharath Bhushan DamodaranSowmya VK P Soman
2018-04-19
Sparse Gaussian ICA
Nilin AbrahamsenPhilippe Rigollet
2018-04-02
Distributed Adaptive Sampling for Kernel Matrix Approximation
Daniele CalandrielloAlessandro LazaricMichal Valko
2018-03-27
Trace your sources in large-scale data: one ring to find them all
| Alexander BöttcherWieland BrendelBernhard EnglitzMatthias Bethge
2018-03-23
Detecting non-causal artifacts in multivariate linear regression models
Dominik JanzingBernhard Schoelkopf
2018-03-02
ICA based on Split Generalized Gaussian
P. SpurekP. RolaJ. TaborA. Czechowski
2018-02-14
Development of ICA and IVA Algorithms with Application to Medical Image Analysis
Zois Boukouvalas
2018-01-25
Optimization and Testing in Linear Non-Gaussian Component Analysis
Ze JinBenjamin B. RiskDavid S. Matteson
2017-12-23
Assessing Information Transmission in Data Transformations with the Channel Multivariate Entropy Triangle
Francisco J. Valverde-AlbaceteCarmen Peláez-Moreno
2017-11-30
Faster ICA under orthogonal constraint
| Pierre AblinJean-François CardosoAlexandre Gramfort
2017-11-29
Deep learning analysis of the myocardium in coronary CT angiography for identification of patients with functionally significant coronary artery stenosis
Majd ZreikNikolas LessmannRobbert W. van HamersveltJelmer M. WolterinkMichiel VoskuilMax A. ViergeverTim LeinerIvana Išgum
2017-11-24
The Scaling Limit of High-Dimensional Online Independent Component Analysis
Chuang WangYue M. Lu
2017-10-15
Learning Independent Features with Adversarial Nets for Non-linear ICA
Philemon BrakelYoshua Bengio
2017-10-13
Comparison of PCA with ICA from data distribution perspective
Miron Ivanov
2017-09-29
Convolutive Audio Source Separation using Robust ICA and an intelligent evolving permutation ambiguity solution
Dimitrios MallisThomas SgourosNikolaos Mitianoudis
2017-08-14
High-Performance FPGA Implementation of Equivariant Adaptive Separation via Independence Algorithm for Independent Component Analysis
Mahdi NazemiShahin NazarianMassoud Pedram
2017-07-06
Faster independent component analysis by preconditioning with Hessian approximations
| Pierre AblinJean-François CardosoAlexandre Gramfort
2017-06-25
Geometric Methods for Robust Data Analysis in High Dimension
Joseph Anderson
2017-05-25
Recurrent Collective Classification
Shuangfei FanBert Huang
2017-03-19
Heavy-Tailed Analogues of the Covariance Matrix for ICA
Joseph AndersonNavin GoyalAnupama NandiLuis Rademacher
2017-02-22
Training Neural Networks Based on Imperialist Competitive Algorithm for Predicting Earthquake Intensity
Mohsen Moradi
2017-02-13
Rapid parametric density estimation
Jarek Duda
2017-02-07
Independent Component Analysis by Entropy Maximization with Kernels
Zois BoukouvalasRami MowakeaaGeng-Shen FuTulay Adali
2016-10-22
Enhancing ICA Performance by Exploiting Sparsity: Application to FMRI Analysis
Zois BoukouvalasYuri Levin-SchwartzTulay Adali
2016-10-19
Randomized Independent Component Analysis
Matan SelaRon Kimmel
2016-09-22
Decoding the Encoding of Functional Brain Networks: an fMRI Classification Comparison of Non-negative Matrix Factorization (NMF), Independent Component Analysis (ICA), and Sparse Coding Algorithms
Jianwen XiePamela K. DouglasYing Nian WuArthur L. BrodyAriana E. Anderson
2016-07-01
Learning overcomplete, low coherence dictionaries with linear inference
Jesse A. LivezeyAlejandro F. BujanFriedrich T. Sommer
2016-06-10
Sifting Common Information from Many Variables
| Greg Ver SteegShuyang GaoKyle ReingAram Galstyan
2016-06-07
Sequential Principal Curves Analysis
Valero LaparraJesus Malo
2016-06-02
Cognitive Dynamic Systems: A Technical Review of Cognitive Radar
Krishanth KrishnanTaralyn SchweringSaman Sarraf
2016-05-26
Unsupervised Feature Extraction by Time-Contrastive Learning and Nonlinear ICA
| Aapo HyvarinenHiroshi Morioka
2016-05-20
Identification of refugee influx patterns in Greece via model-theoretic analysis of daily arrivals
Harris V. Georgiou
2016-05-09
Multi-Fold Gabor, PCA and ICA Filter Convolution Descriptor for Face Recognition
Cheng Yaw LowAndrew Beng Jin TeohCong Jie Ng
2016-04-24
Agnostic Estimation of Mean and Covariance
| Kevin A. LaiAnup B. RaoSantosh Vempala
2016-04-24
Variational Autoencoders for Feature Detection of Magnetic Resonance Imaging Data
R. Devon HjelmSergey M. PlisVince C. Calhoun
2016-03-21
Whitening-Free Least-Squares Non-Gaussian Component Analysis
| Hiroaki ShiinoHiroaki SasakiGang NiuMasashi Sugiyama
2016-03-03
Density Modeling of Images using a Generalized Normalization Transformation
| Johannes BalléValero LaparraEero P. Simoncelli
2015-11-19
Heavy-tailed Independent Component Analysis
Joseph AndersonNavin GoyalAnupama NandiLuis Rademacher
2015-09-02
Rethinking LDA: moment matching for discrete ICA
| Anastasia PodosinnikovaFrancis BachSimon Lacoste-Julien
2015-07-07
Simultaneous Estimation of Non-Gaussian Components and their Correlation Structure
Hiroaki SasakiMichael U. GutmannHayaru ShounoAapo Hyvärinen
2015-06-18
Unsupervised Learning on Neural Network Outputs: with Application in Zero-shot Learning
| Yao Lu
2015-06-02
Rectified Factor Networks
Djork-Arné ClevertAndreas MayrThomas UnterthinerSepp Hochreiter
2015-02-23
Application of Independent Component Analysis Techniques in Speckle Noise Reduction of Retinal OCT Images
Ahmadreza BaghaieRoshan M. D'souzaZeyun Yu
2015-02-19
A Pseudo-Euclidean Iteration for Optimal Recovery in Noisy ICA
James VossMikhail BelkinLuis Rademacher
2015-02-13
Max vs Min: Tensor Decomposition and ICA with nearly Linear Sample Complexity
Santosh S. VempalaYing Xiao
2014-12-09
Communication Efficient Distributed Machine Learning with the Parameter Server
Mu LiDavid G. AndersenAlexander J. SmolaKai Yu
2014-12-01
Learning with Algebraic Invariances, and the Invariant Kernel Trick
Franz J. KirályAndreas ZieheKlaus-Robert Müller
2014-11-28
A Nonparametric Bayesian Approach Toward Stacked Convolutional Independent Component Analysis
Sotirios P. Chatzis
2014-11-17
Blind foreground subtraction for intensity mapping experiments
David AlonsoPhilip BullPedro G. FerreiraMario G. Santos
2014-09-30
A study of the fixed points and spurious solutions of the FastICA algorithm
Tianwen Wei
2014-08-28
Sample Complexity Analysis for Learning Overcomplete Latent Variable Models through Tensor Methods
Animashree AnandkumarRong GeMajid Janzamin
2014-08-03
A RobustICA Based Algorithm for Blind Separation of Convolutive Mixtures
Zaid AlbatainehFathi M. Salem
2014-08-01
A Tutorial on Independent Component Analysis
| Jonathon Shlens
2014-04-11
Tensor Decompositions for Signal Processing Applications From Two-way to Multiway Component Analysis
A. CichockiD. MandicA-H. PhanC. CaiafaG. ZhouQ. ZhaoL. De Lathauwer
2014-03-17
The Application of Imperialist Competitive Algorithm for Fuzzy Random Portfolio Selection Problem
Mir Ehsan Hesam SadatiJamshid Bagherzadeh Mohasefi
2014-02-19
Hybrid Approach to Face Recognition System using Principle component and Independent component with score based fusion process
Trupti M. Kodinariya
2014-01-02
Efficient Visual Coding: From Retina To V2
Honghao ShanGarrison Cottrell
2013-12-20
What Are the Invariant Occlusive Components of Image Patches? A Probabilistic Generative Approach
Zhenwen DaiGeorgios ExarchakisJörg Lücke
2013-12-01
The More, the Merrier: the Blessing of Dimensionality for Learning Large Gaussian Mixtures
Joseph AndersonMikhail BelkinNavin GoyalLuis RademacherJames Voss
2013-11-12
Graph Colouring Problem Based on Discrete Imperialist Competitive Algorithm
Hojjat EmamiShahriar Lotfi
2013-08-17
Separation of cardiac and respiratory components from the electrical bio-impedance signal using PCA and fast ICA
Yar M. MughalA. KrivosheiP. Annus
2013-07-03
Fourier PCA and Robust Tensor Decomposition
| Navin GoyalSantosh VempalaYing Xiao
2013-06-25
Kernel Reconstruction ICA for Sparse Representation
Yanhui XiaoZhenfeng ZhuYao Zhao
2013-04-09
Independent Vector Analysis: Identification Conditions and Performance Bounds
Matthew AndersonGeng-Shen FuRonald PhlypoTülay Adalı
2013-03-29
Efficient learning of simplices
Joseph AndersonNavin GoyalLuis Rademacher
2012-11-09
Blind Signal Separation in the Presence of Gaussian Noise
Mikhail BelkinLuis RademacherJames Voss
2012-11-07
ICA with Reconstruction Cost for Efficient Overcomplete Feature Learning
Quoc V. LeAlexandre KarpenkoJiquan NgiamAndrew Y. Ng
2011-12-01
Structural equations and divisive normalization for energy-dependent component analysis
Jun-Ichiro HirayamaAapo Hyvärinen
2011-12-01
Bayesian Learning via Stochastic Gradient Langevin Dynamics
| Max WellingYee Whye Teh
2011-07-28
High Performance Human Face Recognition using Independent High Intensity Gabor Wavelet Responses: A Statistical Approach
Arindam KarDebotosh BhattacharjeeDipak Kumar BasuMita NasipuriMahantapas Kundu
2011-06-17
Tiled convolutional neural networks
Jiquan NgiamZhenghao ChenDaniel ChiaPang W. KohQuoc V. LeAndrew Y. Ng
2010-12-01
The 'tree-dependent components' of natural scenes are edge filters
Daniel ZoranYair Weiss
2009-12-01
ICA based on a Smooth Estimation of the Differential Entropy
Lev FaivishevskyJacob Goldberger
2008-12-01
Reducing statistical dependencies in natural signals using radial Gaussianization
Siwei LyuEero P. Simoncelli
2008-12-01
An online Hebbian learning rule that performs Independent Component Analysis
Claudia ClopathAndré LongtinWulfram Gerstner
2007-12-01
Sparse deep belief net model for visual area V2
Honglak LeeChaitanya EkanadhamAndrew Y. Ng
2007-12-01
Estimating Mutual Information
Alexander KraskovHarald StoegbauerPeter Grassberger
2003-05-28

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