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Slow feature analysis (SFA) is a new technique for extracting slowly varying features from a quickly varying signal. It is shown here that SFA can be applied to nonstationary time series to estimate a single underlying driving force with…

Statistical Mechanics · Physics 2007-05-23 Laurenz Wiskott

Slow feature analysis (SFA) is a method for extracting slowly varying driving forces from quickly varying nonstationary time series. We show here that it is possible for SFA to detect a component which is even slower than the driving force…

Machine Learning · Statistics 2009-11-24 Wolfgang Konen , Patrick Koch

This work presents a novel probabilistic interpretation of Slow Feature Analysis (SFA) through the lens of variational inference. Unlike prior formulations that recover linear SFA from Gaussian state-space models with linear emissions, this…

Machine Learning · Computer Science 2025-06-03 Merlin Schüler , Laurenz Wiskott

Slow Feature Analysis (SFA) extracts slowly varying features from a quickly varying input signal. It has been successfully applied to modeling the visual receptive fields of the cortical neurons. Sufficient experimental results in…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Zhang Zhang , Dacheng Tao

Slow feature analysis (SFA) is an unsupervised method for extracting representations from time series data. The successor representation (SR) is a method for representing states in a Markov decision process (MDP) based on transition…

Machine Learning · Computer Science 2025-03-13 Eddie Seabrook , Laurenz Wiskott

Slow Feature Analysis (SFA) extracts features representing the underlying causes of changes within a temporally coherent high-dimensional raw sensory input signal. Our novel incremental version of SFA (IncSFA) combines incremental Principal…

Artificial Intelligence · Computer Science 2012-10-11 Varun Raj Kompella , Matthew Luciw , Juergen Schmidhuber

Factor Analysis (FA) is a technique of fundamental importance that is widely used in classical and modern multivariate statistics, psychometrics and econometrics. In this paper, we revisit the classical rank-constrained FA problem, which…

Methodology · Statistics 2017-04-25 Dimitris Bertsimas , Martin S. Copenhaver , Rahul Mazumder

We propose Power Slow Feature Analysis, a gradient-based method to extract temporally slow features from a high-dimensional input stream that varies on a faster time-scale, as a variant of Slow Feature Analysis (SFA) that allows end-to-end…

Machine Learning · Computer Science 2019-07-19 Merlin Schüler , Hlynur Davíð Hlynsson , Laurenz Wiskott

Detrended fluctuation analysis (DFA) has been proposed as a robust technique to determine possible long-range correlations in power-law processes [1]. However, recent studies have reported the susceptibility of DFA to trends [2] which give…

Statistical Mechanics · Physics 2007-05-23 Radhakrishnan Nagarajan , Rajesh G. Kavasseri

Dynamic textures exist in various forms, e.g., fire, smoke, and traffic jams, but recognizing dynamic texture is challenging due to the complex temporal variations. In this paper, we present a novel approach stemmed from slow feature…

Computer Vision and Pattern Recognition · Computer Science 2017-06-12 Jie Miao , Xiangmin Xu , Xiaofen Xing , Dacheng Tao

Change detection has been a hotspot in remote sensing technology for a long time. With the increasing availability of multi-temporal remote sensing images, numerous change detection algorithms have been proposed. Among these methods, image…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Bo Du , Lixiang Ru , Chen Wu , Liangpei Zhang

Slow feature analysis (SFA) is an unsupervised learning algorithm that extracts slowly varying features from a time series. Graph-based SFA (GSFA) is a supervised extension that can solve regression problems if followed by a post-processing…

Artificial Intelligence · Computer Science 2015-09-29 Alberto N. Escalante-B. , Laurenz Wiskott

Unlike conventional frame-based sensors, event-based visual sensors output information through spikes at a high temporal resolution. By only encoding changes in pixel intensity, they showcase a low-power consuming, low-latency approach to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Rohan Ghosh , Anupam Gupta , Siyi Tang , Alcimar Soares , Nitish Thakor

Factor analysis (FA) or principal component analysis (PCA) models the covariance matrix of the observed data as R = SS' + {\Sigma}, where SS' is the low-rank covariance matrix of the factors (aka latent variables) and {\Sigma} is the…

Methodology · Statistics 2023-05-31 Petre Stoica , Prabhu Babu

Detrended fluctuation analysis (DFA) has been used widely to determine possible long-range correlations in data obtained from diverse settings. In a recent study [1], uncorrelated random spikes superimposed on the long-range correlated…

Statistical Mechanics · Physics 2007-05-23 Radhakrishnan Nagarajan

Slow feature analysis (SFA), as a method for learning slowly varying features in classification and signal analysis, has attracted increasing attention in recent years. Recent probabilistic extensions to SFA learn effective representations…

Machine Learning · Computer Science 2025-09-10 Vishal Rishi

In this paper, we show that slow feature analysis (SFA), a common time series decomposition method, naturally fits into the flow-based models (FBM) framework, a type of invertible neural latent variable models. Building upon recent advances…

Machine Learning · Computer Science 2020-07-21 Edouard Pineau , Sébastien Razakarivony , Thomas Bonald

Slow feature analysis (SFA) is an unsupervised-learning algorithm that extracts slowly varying features from a multi-dimensional time series. A supervised extension to SFA for classification and regression is graph-based SFA (GSFA). GSFA is…

Computer Vision and Pattern Recognition · Computer Science 2016-01-18 Alberto N. Escalante-B. , Laurenz Wiskott

Stability guarantees have emerged as a principled way to evaluate feature attributions, but existing certification methods rely on heavily smoothed classifiers and often produce conservative guarantees. To address these limitations, we…

Machine Learning · Computer Science 2025-08-08 Helen Jin , Anton Xue , Weiqiu You , Surbhi Goel , Eric Wong

This paper introduces a general framework of Semi-parametric TEnsor Factor Analysis (STEFA) that focuses on the methodology and theory of low-rank tensor decomposition with auxiliary covariates. Semi-parametric TEnsor Factor Analysis models…

Methodology · Statistics 2024-04-03 Elynn Y. Chen , Dong Xia , Chencheng Cai , Jianqing Fan
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