Historical Subspace Tracking (4 papers)
1. Least Mean Square Error Reconstruction (LMSER)
L. Xu, “Least mean square error reconstruction principle for self-organizing neural nets", Neural Networks, Volume 6, pages 627–648, 1993.
2. Projection Approximation Subspace Tracking (PAST)
PAST
B. Yang, “Projection approximation subspace tracking", IEEE Transactions on Signal Processing, Volume 43, pages 95–107, January 1995.
Orthogonal PAST (OPAST)
K. Abed-Meraim, A. Chkeif, Y. Hua, “Fast orthonormal PAST algorithm,” IEEE Signal Processing Letters, Volume 7, No. 3, pages60–62, 2000.
3. NIC
Y. Miao, Y. Hua, "Fast Subspace Tracking and Neural Network Learning by a Novel Information Criterion", IEEE Transactions on Signal Processing, Volume 46, No.7, pages 1967-1978, July 1998.
Modern Subspace Tracking (11 papers)
1. GROUSE
L. Balzano, R. Nowak, B. Recht, “Online identification and tracking of subspaces from highly incomplete information", Allerton Conference on Communication, Control and Computing, 2010.
L. Balzano, S. Wright, “On GROUSE and Incremental SVD", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing CAMSAP 2013, pages 1–4, 2013.
L. Balzano, S. Wright, “Local Convergence of an Algorithm for Subspace Identification from Partial Data", 2013.
P. Xiao, L. Balzano, “Online Sparse and Orthogonal Subspace Estimation from Partial Information", Allerton Conference on Communication, Control, and Computing, Allerton 2016, 284–291, 2016.
D. Zhang, L. Balzano, “Global Convergence of a Grassmannian Gradient Descent Algorithm for Subspace Estimation", International Conference on Artificial Intelligence and Statistics, 1460–1468, 2016.
G. Ongie, D. Hong, D. Zhang, L. Balzano, “Online Estimation of Coherent Subspaces with Adaptive Sampling", IEEE Workshop on Statistical Signal Processing, 2017.
G. Ongie, D. Hong, L. Balzano, D. Zhang, “Enhanced Online Subspace Estimation via Adaptive Sensing", Asilomar Confernce on Signals, Systems, and Computers, 2018.
R. Kennedy, R. Taylor, L. Balzano, “Online Completion of Ill-Conditioned Low-Rank Matrices", IEEE Global Conference on Signal and Information Processing, GlobalSIP 2014, 507–511, 2014.
L. Balzano., Y. Chi, Y. Luz, "Streaming PCA and Subspace Tracking: The Missing Data Case", Proceedings of IEEE, July 2018.
2. PETRELS
Y. Chi, Y. Eldar, R. Calderbank, "PETRELS: Subspace Estimation and Tracking from Partial Observations", International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012, 2012.
Y. Chi, R. Calderbank, Y. Eldar, “PETRELS: Parallel subspace estimation and tracking by recursive least squares from partial observations", IEEE Transactions on Signal Processing, Volume 61, No. 23, pages 5947–5959, 2013.