2017:

J. Andén, A. Singer, Structural Variability from Noisy Tomographic Projections, arXiv preprint. 

E. Levin, T. Bendory, N. Boumal, J. Kileel, A. Singer, 3D ab initio modeling in cryo-EM by autocorrelation analysis, arXiv preprint.

R. R. Lederman, A. Singer, Continuously heterogeneous hyper-objects in cryo-EM and 3-D movies of many temporal dimensions, arXiv preprint.

A. S. Bandeira, Y. Chen, A. Singer, Non-Unique Games over Compact Groups and Orientation Estimation in Cryo-EM, arXiv preprint.

E. Abbe, T. Bendory, W. Leeb, J. Pereira, N. Sharon, A. Singer, Multireference Alignment is Easier with an Aperiodic Translation Distribution, arXiv preprint.

N. Boumal, T. Bendory, R. R. Lederman, A. Singer, Heterogeneous multireference alignment: a single pass approach, arXiv preprint.

A. Perry, J. Weed, A. S. Bandeira, P. Rigollet, A. Singer, The sample complexity of multi-reference alignment, arXiv preprint.

T. Bendory, N. Boumal, C. Ma, Z. Zhao, A. Singer, Bispectrum Inversion with Application to Multireference AlignmentIEEE Transactions on Signal Processing, accepted. ​

T. Bhamre, T. Zhang, A. Singer, Anisotropic twicing for single particle reconstruction using autocorrelation analysis, arXiv preprint.

E. Abbe, J. Pereira, A. Singer, Sample Complexity of the Boolean Multireference Alignment ProblemIEEE International Symposium on Information Theory (ISIT), pp. 1316-1320, 2017.

I. Greenberg, Y. Shkolnisky, Common Lines Modeling for Reference Free Ab-Initio Reconstruction in Cryo-EM, Journal of Structural Biology, in press, 2017.

B. Landa, Y. Shkolnisky, Steerable Principal Components for Space-Frequency Localized ImagesSIAM Journal on Imaging Sciences, 10(2), 508–534, 2017. PMID: 29081879 [PubMed] PMCID: PMC5659640.

T. Zhang, A. Singer, Disentangling Orthogonal MatricesLinear Algebra and Applications524, pp. 159-181 (2017).  NIHMSID: NIHMS867571.

T. Bhamre, Z. Zhao, A. Singer, Mahalanobis Distance for Class Averaging of Cryo-EM Images2017 IEEE 14th International Symposium on Biomedical Imaging (ISBI 2017), Melbourne, VIC, pp. 654-658, 2017. PMID: 29081898 [PubMed] PMCID: PMC5657188.

J. Andén, A. Singer, Factor Analysis for Spectral EstimationSampling Theory and Applications (SampTA), 12th International Conference, pp. 169-173, 2017.

 

2016:

R. R. Lederman, A. Singer, A Representation Theory Perspective on Simultaneous Alignment and Classification, arXiv preprint.

T. Bhamre, T. Zhang, A. Singer, Denoising and Covariance Estimation of Single Particle Cryo-EM Images, Journal of Structural Biology, 195 (1), pp. 72-81 (2016). 

PMID:27129418 [PubMed - in process]

G. Pragier, I. Greenberg, X. Cheng and Y. Shkolnisky, A Graph Partitioning Approach to Simultaneous Angular ReconstitutionIEEE Transactions on Computational Imaging, 2 (3), pp. 323-334 (2016). PMID: 28217720 [PubMed] PMCID: PMC5315492 

Z. Zhao, Y. Shkolnisky, A. Singer, Fast Steerable Principal Component AnalysisIEEE Transactions on Computational Imaging, 2 (1), pp. 1-12 (2016).​ PMID: 27570801 [PubMed] PMCID: PMC4996495​.

 

2015:

T. Bhamre, T. Zhang, A. Singer, Orthogonal Matrix Retrieval in Cryo-Electron Microscopy, in IEEE 12th International Symposium on Biomedical Imaging (ISBI 2015), pp. 1048-1052, 16-19 April 2015. PMID: 26677402 [PubMed] PMCID: PMC4678003

J. Andén, E. Katsevich, A. Singer, Covariance estimation using conjugate gradient for 3D classification in Cryo-EM, in IEEE 12th International Symposium on Biomedical Imaging (ISBI 2015), pp. 200-204, 16-19 April 2015. PMID: 26682015 [PubMed] PMCID: PMC4679407

E. Katsevich, A. Katsevich, A. Singer, Covariance Matrix Estimation for the Cryo-EM Heterogeneity Problem, SIAM Journal on Imaging Sciences, 8 (1), pp. 126-185 (2015). 

PMID: 25699132 [PubMed] PMCID: PMC4331039

 

2014:

Z. Zhao, A. Singer, Rotationally Invariant Image Representation for Viewing Direction Classification in Cryo-EM, Journal of Structural Biology, 186 (1), pp. 153-166 (2014). 

PMID: 24631969 [PubMed] PMCID: PMC4014198

 

2013:

L. Wang, A. Singer, Z. Wen, Orientation Determination from Cryo-EM images using Least Unsquared DeviationsSIAM Journal on Imaging Sciences, 6 (4), pp. 2450-2483 (2013). PMID:24683433 [PubMed] PMCID: PMC3966634.

Z. Zhao, A. Singer, Fourier-Bessel Rotational Invariant Eigenimages, The Journal of the Optical Society of America A, 30 (5), pp. 871-877 (2013). PMID: 23695317 [PubMed] PMCID: PMC3711886.

A. Singer, H.-T. Wu, Two-Dimensional tomography from noisy projections taken at unknown random directions, SIAM Journal on Imaging Sciences, 6 (1), pp. 136-175 (2013). PMID: 24563691 [PubMed] PMCID: PMC3929313

 

2012:

Y. Shkolnisky, A. Singer, Viewing Direction Estimation in Cryo-EM Using Synchronization, SIAM Journal on Imaging Sciences, 5 (3), pp. 1088-1110 (2012). PMID: 24363820 [PubMed] PMCID: PMC3868463.

A. Singer, H.-T. Wu, Vector Diffusion Maps and the Connection Laplacian, Communications on Pure and Applied Mathematics (CPAM), 65 (8), pp. 1067-1144 (2012). PMID: 24415793 [PubMed] PMCID: PMC3886882.

 

2011:

A. Singer, Z. Zhao, Y. Shkolnisky, R. Hadani, Viewing Angle Classification of Cryo-Electron Microscopy Images using Eigenvectors, SIAM Journal on Imaging Sciences, 4 (2), pp. 543-572 (2011). PMID: 22506089 [PubMed] PMCID: PMC3325115.

A. Singer, Y. Shkolnisky, Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming, SIAM Journal on Imaging Sciences, 4 (2), pp. 543-572 (2011). PMID: 22536457 [PubMed]; PMCID: PMC3334316.

C. Vonesch, L. Wang, Y. Shkolnisky, A. Singer, Fast wavelet-based single-particle reconstruction in cryo-EM, 8th IEEE International Symposium on Biomedical Imaging (ISBI’11), March 30 – April 2, 2011. PMID: 22536462 [PubMed] PMCID: PMC3334313.

C. Ponce, A. Singer, Computing Steerable Principal Components of a Large Set of Images and their Rotations, IEEE Transactions on Image Processing, 20 (11), pp. 3051-3062 (2011). PMID: 21536533 [PubMed - indexed for MEDLINE] PMCID: PMC3719433.

R. Hadani, A. Singer, Representation theoretic patterns in three dimensional Cryo-Electron Microscopy II - The class averaging problem, Foundations of Computational Mathematics (FoCM), 11 (5), pp. 589-616 (2011). PMID: 23239955 [PubMed] PMCID: PMC3519397.

R. Hadani, A. Singer, Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I - The intrinsic reconstitution algorithm, Annals of Mathematics, 174 (2), pp. 1219-1241 (2011). PMID: 23180881 [PubMed] PMCID: PMC3505076.

A. Singer, Angular Synchronization by Eigenvectors and Semidefinite Programming, Applied and Computational Harmonic Analysis, 30 (1), pp. 20-36 (2011). PMID: 21179593 [PubMed] PMCID: PMC3003935.

 

2010:

A. Singer, R. R. Coifman, F. J. Sigworth, D. W. Chester, Y. Shkolnisky, Detecting Consistent Common Lines in Cryo-EM by Voting, Journal of Structural Biology, 169 (3), pp. 312-322 (2010). PMID: 19925867 [PubMed - indexed for MEDLINE] PMCID: PMC2826584.

R. R. Coifman, Y. Shkolnisky, F. J. Sigworth, A. Singer, Reference Free Structure Determination through Eigenvectors of Center of Mass Operators, Applied and Computational Harmonic Analysis, 28 (3), pp. 296-312 (2010). PMID: 20436952 [PubMed] PMCID: PMC2860334.

 

2008:

R. R. Coifman, Y. Shkolnisky, F. J. Sigworth, A. Singer, Graph Laplacian Tomography from Unknown Random Projections, IEEE Transactions on Image Processing, 17 (10):1891-1899 (2008). PMID: 18784036 [PubMed - indexed for MEDLINE]