Sparse representation for time-series classification

Abstract : This chapter studies the problem of time-series classification and presents an overview of recent developments in the area of feature extraction and information fusion. In particular, a recently proposed feature extraction algorithm, namely symbolic dynamic filtering (SDF), is reviewed. The SDF algorithm generates low-dimensional feature vectors using probabilistic finite state automata that are well-suited for discriminative tasks. The chapter also presents the recent developments in the area of sparse- representation-based algorithms for multimodal classification. This includes the joint sparse representation that enforces collaboration across all the modalities as well as the tree-structured sparsity that provides a flexible framework for fusion of modalities at multiple granularities. Furthermore, unsupervised and supervised dictionary learning algorithms are reviewed. The performance of the algorithms are evaluated on a set of field data that consist of passive infrared and seismic sensors.

[1]  Yu Hen Hu,et al.  Detection, classification, and tracking of targets , 2002, IEEE Signal Process. Mag..

[2]  Asok Ray,et al.  Performance robustness of feature extraction for target detection & classification , 2014, 2014 American Control Conference.

[3]  Larry S. Davis,et al.  Label Consistent K-SVD: Learning a Discriminative Dictionary for Recognition , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[4]  D. Ruta,et al.  An Overview of Classifier Fusion Methods , 2000 .

[5]  Thomas S. Huang,et al.  Joint-Structured-Sparsity-Based Classification for Multiple-Measurement Transient Acoustic Signals , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[6]  Thomas S. Huang,et al.  Multi-observation visual recognition via joint dynamic sparse representation , 2011, 2011 International Conference on Computer Vision.

[7]  Vishal Monga,et al.  Simultaneous Sparsity Model for Histopathological Image Representation and Classification , 2014, IEEE Transactions on Medical Imaging.

[8]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[9]  Asok Ray,et al.  Performance comparison of feature extraction algorithms for target detection and classification , 2013, Pattern Recognit. Lett..

[10]  Kushal Mukherjee,et al.  State splitting and merging in probabilistic finite state automata for signal representation and analysis , 2014, Signal Process..

[11]  Junfeng Yang,et al.  Alternating Direction Algorithms for 1-Problems in Compressive Sensing , 2009, SIAM J. Sci. Comput..

[12]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Asok Ray,et al.  Symbolic time series analysis via wavelet-based partitioning , 2006, Signal Process..

[14]  Asok Ray,et al.  Multimodal Task-Driven Dictionary Learning for Image Classification , 2015, IEEE Transactions on Image Processing.

[15]  Baoxin Li,et al.  Discriminative K-SVD for dictionary learning in face recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[16]  Guillermo Sapiro,et al.  Supervised Dictionary Learning , 2008, NIPS.

[17]  Jean Ponce,et al.  Learning mid-level features for recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[18]  Guillermo Sapiro,et al.  Online dictionary learning for sparse coding , 2009, ICML '09.

[19]  Haibin Ling,et al.  Robust Visual Tracking and Vehicle Classification via Sparse Representation , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[20]  Asok Ray,et al.  Quality-Based Multimodal Classification Using Tree-Structured Sparsity , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[21]  David Zhang,et al.  Relaxed collaborative representation for pattern classification , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[22]  Guillermo Sapiro,et al.  Classification and clustering via dictionary learning with structured incoherence and shared features , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[23]  Radford M. Neal Pattern Recognition and Machine Learning , 2007, Technometrics.

[24]  Yu.A. Zuev,et al.  The voting as a way to increase the decision reliability , 1999 .

[25]  Michael Elad,et al.  Sparse Representation for Color Image Restoration , 2008, IEEE Transactions on Image Processing.

[26]  Jean Ponce,et al.  Task-Driven Dictionary Learning , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[27]  Jürgen Altmann,et al.  Acoustic and seismic signals of heavy military vehicles for co-operative verification , 2004 .

[28]  Rama Chellappa,et al.  Joint Sparsity-Based Robust Multimodal Biometrics Recognition , 2012, ECCV Workshops.

[29]  Eric P. Xing,et al.  Tree-Guided Group Lasso for Multi-Task Regression with Structured Sparsity , 2009, ICML.

[30]  Hairong Qi,et al.  Target detection and classification using seismic signal processing in unattended ground sensor systems , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[31]  A. Ray,et al.  Target Detection and Classification Using Seismic and PIR Sensors , 2012, IEEE Sensors Journal.

[32]  Trac D. Tran,et al.  Multi-task image classification via collaborative, hierarchical spike-and-slab priors , 2014, 2014 IEEE International Conference on Image Processing (ICIP).

[33]  A. Ross,et al.  Level Fusion Using Hand and Face Biometrics , 2005 .

[34]  Edward M. Carapezza,et al.  Sensors, C3I, Information, and Training Technologies for Law Enforcement , 1999 .

[35]  Karim Salahshoor,et al.  New Fusion Architectures for Performance Enhancement of a PCA-Based Fault Diagnosis and Isolation System , 2009 .

[36]  Lei Zhang,et al.  Metaface learning for sparse representation based face recognition , 2010, 2010 IEEE International Conference on Image Processing.

[37]  Jie Yang,et al.  Sensor Fusion Using Dempster-Shafer Theory , 2002 .

[38]  Asok Ray,et al.  Symbolic dynamic analysis of complex systems for anomaly detection , 2004, Signal Process..

[39]  Pascal Vasseur,et al.  Introduction to Multisensor Data Fusion , 2005, The Industrial Information Technology Handbook.

[40]  Massimo Tistarelli,et al.  Feature Level Fusion of Face and Fingerprint Biometrics , 2007, 2007 First IEEE International Conference on Biometrics: Theory, Applications, and Systems.

[41]  Guillermo Sapiro,et al.  Online Learning for Matrix Factorization and Sparse Coding , 2009, J. Mach. Learn. Res..

[42]  Kristen Grauman,et al.  Learning with Whom to Share in Multi-task Feature Learning , 2011, ICML.

[43]  Xin Jin,et al.  Symbolic Dynamic Filtering and Language Measure for Behavior Identification of Mobile Robots , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[44]  Asok Ray,et al.  Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor , 2015 .

[45]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[46]  Ren C. Luo,et al.  Multilevel Multiagent Based Team Decision Fusion for Autonomous Tracking System , 1999 .

[47]  Rama Chellappa,et al.  Joint Sparse Representation for Robust Multimodal Biometrics Recognition , 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[48]  Léon Bottou,et al.  The Tradeoffs of Large Scale Learning , 2007, NIPS.

[49]  Trac D. Tran,et al.  Robust multi-sensor classification via joint sparse representation , 2011, 14th International Conference on Information Fusion.