Learning invariance from transformation sequences
Neural Computation
Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Sparse on-line Gaussian processes
Neural Computation
Slow feature analysis: unsupervised learning of invariances
Neural Computation
Sparse Greedy Matrix Approximation for Machine Learning
ICML '00 Proceedings of the Seventeenth International Conference on Machine Learning
Object Recognition from Local Scale-Invariant Features
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Slow feature analysis: a theoretical analysis of optimal free responses
Neural Computation
Real-Time Simultaneous Localisation and Mapping with a Single Camera
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Kernel Methods for Pattern Analysis
Kernel Methods for Pattern Analysis
Learning viewpoint invariant object representations using a temporal coherence principle
Biological Cybernetics
Blind Source Separation Using Temporal Predictability
Neural Computation
Statistical Consistency of Kernel Canonical Correlation Analysis
The Journal of Machine Learning Research
Incremental slow feature analysis with indefinite kernel for online temporal video segmentation
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part II
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This paper develops a kernelized slow feature analysis (SFA) algorithm. SFA is an unsupervised learning method to extract features which encode latent variables from time series. Generative relationships are usually complex, and current algorithms are either not powerful enough or tend to over-fit. We make use of the kernel trick in combination with sparsification to provide a powerful function class for large data sets. Sparsity is achieved by a novel matching pursuit approach that can be applied to other tasks as well. For small but complex data sets, however, the kernel SFA approach leads to over-fitting and numerical instabilities. To enforce a stable solution, we introduce regularization to the SFA objective. Versatility and performance of our method are demonstrated on audio and video data sets.