Low-dimensional representations are key to the success of many video classification algorithms. However, the commonly-used dimensionality reduction techniques fail to account for the fact that only part of the signal is shared across all the videos in one class. As a consequence, the resulting representations contain instance-specific information, which introduces noise in the classification process. In this paper, we introduce non-linear stationary subspace analysis: a method that overcomes this issue by explicitly separating the stationary parts of the video signal (i.e., the parts shared across all videos in one class), from its non-stationary parts (i.e., the parts specific to individual videos). Our method also encourages the new representation to be discriminative, thus accounting for the underlying classification problem. We demonstrate the effectiveness of our approach on dynamic texture recognition, scene classification and action recognition.
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http://dx.doi.org/10.1109/TPAMI.2014.2339851 | DOI Listing |
Front Hum Neurosci
December 2024
Department of Biomedical Engineering, Izmir Katip Celebi University, Izmir, Türkiye.
Introduction: Motor Imagery (MI) Electroencephalography (EEG) signals are non-stationary and dynamic physiological signals which have low signal-to-noise ratio. Hence, it is difficult to achieve high classification accuracy. Although various machine learning methods have already proven useful to that effect, the use of many features and ineffective EEG channels often leads to a complex structure of classifier algorithms.
View Article and Find Full Text PDFFront Comput Neurosci
December 2024
Institute of Software Engineering and Theoretical Computer Science, Technische Universitaet Berlin, Berlin, Germany.
We adapt non-linear optimal control theory (OCT) to control oscillations and network synchrony and apply it to models of neural population dynamics. OCT is a mathematical framework to compute an efficient stimulation for dynamical systems. In its standard formulation, it requires a well-defined reference trajectory as target state.
View Article and Find Full Text PDFJ Appl Stat
November 2023
Department of Mathematics, National Institute of Technology Calicut, Calicut, Kerala, India.
The forecasting of carbon monoxide in the atmosphere is essential as it causes the pollution of the atmosphere and hence severe health problems for humans. This study proposes a time-series prognosis EEMD-SVD-MA technique which incorporates Ensemble Empirical Mode Decomposition, Singular Value Decomposition and Moving Average, to predict the prospects of carbon monoxide data taken from the Indian region. The collected data are non-linear.
View Article and Find Full Text PDFPLoS One
November 2024
School of Applied Digital Technology, Mae Fah Luang University, Chiang Rai, Thailand.
Non-linear and non-stationary signals are analyzed and processed in the time-frequency (TF) domain due to interpretation simplicity. Wigner-Ville distribution (WVD) delivers a very sharp resolution of non-stationary signals in the TF domain. However, cross-terms occur between true frequency modes due to their bilinear nature.
View Article and Find Full Text PDFSci Rep
November 2024
PRINCE Laboratory Research, ISITcom, Hammam Sousse, University of Sousse, Sousse, Tunisia.
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