Journal
JOURNAL OF SIGNAL PROCESSING SYSTEMS FOR SIGNAL IMAGE AND VIDEO TECHNOLOGY
Volume 79, Issue 2, Pages 179-188Publisher
SPRINGER
DOI: 10.1007/s11265-014-0913-0
Keywords
Sparse coding; Anomaly detection; ADMM; Arrythmia detection; Specular reflectance removal; Shadows removal
Funding
- Google European Doctoral Fellowship in Multimedia
- ERC [320649]
- European Research Council (ERC) [320649] Funding Source: European Research Council (ERC)
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We consider the problem of simultaneous sparse coding and anomaly detection in a collection of data vectors. The majority of the data vectors are assumed to conform with a sparse representation model, whereas the anomaly is caused by an unknown subset of the data vectors-the outliers-which significantly deviate from this model. The proposed approach utilizes the Alternating Direction Method of Multipliers (ADMM) to recover simultaneously the sparse representations and the outliers components for the entire collection. This approach provides a unified solution both for jointly sparse and independently sparse data vectors. We demonstrate the usefulness of the proposed approach for irregular heartbeats detection in Electrocardiogram (ECG) as well as for specular reflectance and shadows removal from natural images.
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