• C. Ma, T. Bendory, N. Boumal, F. Sigworth, A. Singer, ``Heterogeneous multireference alignment for images with application to 2-D classification in single particle reconstruction”, Available at arXiv.
  • T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer, ``Toward single particle reconstruction without particle picking: Breaking the detection limit”, Available at bioRxiv and arXiv.
  • A. Heimowitz, J. Andén, A. Singer, ``APPLE Picker: Automatic Particle Picking, a Low-Effort Cryo-EM Framework”, Journal of Structural Biology, 204(2), pp. 215-227 (2018).
  • A. Singer, ``Mathematics for cryo-electron microscopy”, Proceedings of the International Congress of Mathematicians 2018.
  • E. Abbe, J. Pereira, A. Singer, ``Estimation in the group action channel”, IEEE International Symposium on Information Theory (ISIT), Vail, Colorado, 2018.
  • J. Andén, A. Singer, ``Structural Variability from Noisy Tomographic Projections”, SIAM Journal on Imaging Sciences, 11 (2), pp. 1441-1492 (2018).
  • E. Levin, T. Bendory, N. Boumal, J. Kileel, A. Singer, ``3D ab initio modeling in cryo-EM by autocorrelation analysis”, IEEE 15th International Symposium on Biomedical Imaging (ISBI 2018).
  • E. Abbe, T. Bendory, W. Leeb, J. Pereira, N. Sharon, A. Singer, ``Multireference Alignment is Easier with an Aperiodic Translation Distribution”, IEEE Transactions on Information Theory, accepted. Available at arXiv.
  • N. Boumal, T. Bendory, R. R. Lederman, A. Singer, ``Heterogeneous multireference alignment: a single pass approach”, 2018 IEEE 52nd Annual Conference on Information Sciences and Systems (CISS), Princeton, NJ, March 21-23, 2018.
  • E. Dobriban, W. Leeb, A. Singer, ``Optimal prediction in the linearly transformed spiked model”, Available at arXiv.
  • A. Perry, J. Weed, A. S. Bandeira, P. Rigollet, A. Singer, ``The sample complexity of multi-reference alignment”. Available at arXiv.
  • T. Bendory, N. Boumal, C. Ma, Z. Zhao, A. Singer, ``Bispectrum Inversion with Application to Multireference Alignment”, IEEE Transactions on Signal Processing, 66 (4), pp. 1037-1050 (2018).
  • T. Bhamre, T. Zhang, A. Singer, ``Anisotropic twicing for single particle reconstruction using autocorrelation analysis”. Available at arXiv.
  • R. R. Lederman, A. Singer, ``Continuously heterogeneous hyper-objects in cryo-EM and 3-D movies of many temporal dimensions”. Available at arXiv.
  • J. F. S. Bravo Ferreira, Y. Khoo, A. Singer, ``Semidefinite Programming Approach for the Quadratic Assignment Problem with a Sparse Graph”, Computational Optimization and Applications, 69 (3), pp. 677-712 (2018).
  • O. Özyeşil, N. Sharon, A. Singer, ``Synchronization over Cartan motion groups via contraction”, SIAM Journal on Applied Algebra and Geometry, 2 (2), pp. 207-241 (2018).
  • L. Liu, E. Dobriban, A. Singer, ``ePCA: High Dimensional Exponential Family PCA”, Annals of Applied Statistics, 12 (4), pp. 2121-2150 (2018).
  • R. R. Lederman, A. Singer, ``A Representation Theory Perspective on Simultaneous Alignment and Classification”, Available at arXiv.
  • Y. Khoo, A. Singer, D. Cowburn, ``Bias Correction in Saupe Tensor Estimation ”, Available at arXiv.
  • A. S. Bandeira, Y. Chen, A. Singer, ``Non-Unique Games over Compact Groups and Orientation Estimation in Cryo-EM ”, Available at arXiv.
  • O. Özyeşil,, V. Voroninski, R. Basri, A. Singer, ``A Survey of Structure from Motion”, Acta Numerica, 26, pp. 305-364 (2017).
  • P. Villoutreix, J. Andén, B. Lim, H. Lu, I. G. Kevrekidis, A. Singer, S. Y. Shvartsman, ``Synthesizing developmental trajectories”, PLOS Computational Biology, 13(9): e1005742 (2017).
  • J. Andén, A. Singer, ``Factor Analysis for Spectral Estimation”, Sampling Theory and Applications (SampTA), 12th International Conference, Tallinn, pp. 169-173, 2017.
  • E. Abbe, J. Pereira, A. Singer, ``Sample Complexity of the Boolean Multireference Alignment Problem”, IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, pp. 1316-1320, 2017.
  • Y. Khoo, A. Singer, D. Cowburn, ``Integrating NOE and RDC using sum-of-squares relaxation for protein structure determination”, Journal of Biomolecular NMR, 68 (3), pp. 163-185 (2017).
  • S. Sengupta, T. Amir, M. Galun, T. Goldstein, D. Jacobs, A. Singer, R. Basri, ``A New Rank Constraint on Multi-view Fundamental Matrices, and its Application to Camera Location Recovery”, in IEEE Conf. on Computer Vision and Pattern Recognition (CVPR) 2017, pp. 2413-2421, 21-26 July 2017.
  • T. Bhamre, Z. Zhao, A. Singer, ``Mahalanobis Distance for Class Averaging of Cryo-EM Images”, 2017 IEEE 14th International Symposium on Biomedical Imaging (ISBI 2017), Melbourne, VIC, pp. 654-658, 2017.
  • T. Zhang, A. Singer, ``Disentangling Orthogonal Matrices”, Linear Algebra and Applications, 524, pp. 159-181 (2017).
  • A. S. Bandeira, N. Boumal, A. Singer, ``Tightness of the maximum likelihood semidefinite relaxation for angular synchronization”, Mathematical Programming, Series A, 163 (1):145-167 (2017).
  • A. Singer, H.-T. Wu, ``Spectral Convergence of the Connection Laplacian from Random Samples”, Information and Inference: A Journal of the IMA, 6 (1):58-123 (2017).
  • 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).
  • T. Zhang, X. Cheng, A. Singer, ``Marchenko-Pastur Law for Tyler's and Maronna's M-estimators”, Journal of Multivariate Analysis, 149, pp. 114-123 (2016).
  • Z. Zhao, Y. Shkolnisky, A. Singer, ``Fast Steerable Principal Component Analysis”, IEEE Transactions on Computational Imaging, 2 (1), pp. 1-12 (2016).
  • A. S. Bandeira, C. Kennedy, A. Singer, ``Approximating the Little Grothendieck Problem over the Orthogonal and Unitary Groups”, Mathematical Programming, Series A, 160 (1), pp 433-475 (2016).
  • C. J. Dsilva, B. Lim, H. Lu, A. Singer, I. G. Kevrekidis, S. Y. Shvartsman, ``Temporal ordering and registration of images in studies of developmental dynamics”, Development, 142, pp. 1717-1724 (2015).
  • J. Andén, E. Katsevich, A. Singer, ``Covariance estimation using conjugate gradient for 3D classification in Cryo-EM”, 12th IEEE International Symposium on Biomedical Imaging, pp. 200--204 (2015).
  • T. Bhamre, T. Zhang, A. Singer, ``Orthogonal Matrix Retrieval in Cryo-Electron Microscopy”, 12th IEEE International Symposium on Biomedical Imaging, pp. 1048--1052 (2015).
  • O. Özyeşil, A. Singer, ``Robust Camera Location Estimation by Convex Programming”, in Computer Vision and Pattern Recognition (CVPR) 2015, pp. 2674-2683, 7-12 June 2015.
  • O. Özyeşil, A. Singer, R. Basri, ``Stable Camera Motion Estimation using Convex Programming”, SIAM Journal on Imaging Sciences, 8 (2), pp. 1220-1262 (2015).
  • K. N. Chaudhury, Y. Khoo, A. Singer, ``Large-scale sensor network localization via rigid subnetwork registration", Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2015.
  • K. N. Chaudhury, Y. Khoo, A. Singer, ``Global registration of multiple point clouds using semidefinite programming”, SIAM Journal on Optimization, 25 (1), pp. 468-501 (2015).
  • 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).
  • E. Abbe, A. S. Bandeira, A. Bracher, A. Singer, ``Decoding binary node labels from censored edge measurements: Phase transition and efficient recovery”, IEEE Transactions on Network Science and Engineering, 1 (1) pp. 10-22 (2014).
  • A. S. Bandeira, Y. Khoo, A. Singer, ``Open problem: Tightness of maximum likelihood semidefinite relaxations”, 2014 Conference on Learning Theory, JMLR: Workshop and Conference Proceedings 35:1–3 (2014).
  • E. Abbe, A. S. Bandeira, A. Bracher, A. Singer, ``Linear Inverse problems on Erdős-Rényi graphs: Information-theoretic limits and efficient recovery”, IEEE International Symposium on Information Theory (ISIT 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).
  • A. S. Bandeira, M. Charikar, A. Singer, A. Zhu, ``Multireference Alignment using Semidefinite Programming”, 5th Innovations in Theoretical Computer Science (2014).
  • N. Boumal, A. Singer, P.-A. Absil and V. D. Blondel, ``Cramér-Rao bounds for synchronization of rotations”, Information and Inference: A Journal of the IMA, 3 (1), pp. 1--39 (2014).
  • L. Wang, A. Singer, Z. Wen, ``Orientation Determination from Cryo-EM images using Least Unsquared Deviations”, SIAM Journal on Imaging Sciences, 6(4), pp. 2450--2483 (2013).
  • L. Wang, A. Singer, ``Exact and Stable Recovery of Rotations for Robust Synchronization”, Information and Inference: A Journal of the IMA, 2(2), pp. 145--193 (2013).
  • Z. Zhao, A. Singer, ``Fourier-Bessel Rotational Invariant Eigenimages”, The Journal of the Optical Society of America A, 30 (5), pp. 871--877 (2013).
  • 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).
  • A. S. Bandeira, A. Singer, D. A. Spielman, ``A Cheeger Inequality for the Graph Connection Laplacian”, SIAM Journal on Matrix Analysis and Applications, 34 (4), pp. 1611--1630 (2013).
  • X. Cheng, A. Singer, ``The Spectrum of Random Inner-Product Kernel Matrices”, Random Matrices: Theory and Applications, 2 (4) 1350010 (47 pages) (2013).
  • B. Sonday, A. Singer, I. G. Kevrekidis, ``Noisy dynamic simulations in the presence of symmetry: Data alignment and model reduction”, Computers \& Mathematics with Applications, 65 (10) pp. 1535--1557 (2013).
  • K. N. Chaudhury, A. Singer, ``Non-local patch regression: Robust image denoising in patch space”, Proc. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2013.
  • M. Arie-Nachimson, S. Kovalsky, I. Kemelmacher-Shlizerman, A. Singer, R. Basri, ``Global Motion Estimation from Point Matches”, 3DimPVT, ETH Zurich, Switzerland, October 13-15 (2012).
  • M. Cucuringu, A. Singer, D. Cowburn, ``Eigenvector Synchronization, Graph Rigidity and the Molecule Problem”, Information and Inference: A Journal of the IMA, 1 (1), pp. 21--67 (2012).
  • K. N. Chaudhury, A. Singer, ``Non-Local Euclidean Medians”, IEEE Signal Processing Letters, 19 (11), pp. 745-748 (2012).
  • Y. Shkolnisky, A. Singer, ``Viewing Direction Estimation in Cryo-EM Using Synchronization”, SIAM Journal on Imaging Sciences, 5 (3), pp. 1088-1110 (2012).
  • A. Singer, H.-T. Wu, ``Vector Diffusion Maps and the Connection Laplacian”, Communications on Pure and Applied Mathematics, 65 (8), pp. 1067-1144 (2012)
  • M. Cucuringu, Y. Lipman, A. Singer, ``Sensor network localization by eigenvector synchronization over the Euclidean group'', ACM Transactions on Sensor Networks, 8 (3), pp. 19:1-19:42 (2012).
  • 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).
  • 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).
  • 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).
  • 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, pp. 1950-1953 (2011).
  • 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).
  • 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).
  • A. Singer, H.-T. Wu, ``Orientability and Diffusion Maps'', Applied and Computational Harmonic Analysis, 31 (1), pp. 44-58 (2011).
  • A. Singer, ``Angular Synchronization by Eigenvectors and Semidefinite Programming'', Applied and Computational Harmonic Analysis, 30 (1), pp. 20-36 (2011).
  • G. Amir, O. Gurel-Gurevich, E. Lubetzky, A. Singer, ``Giant components in biased graph processes'', Indiana University Mathematics Journal, 59 (6), pp. 1893-1930 (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).
  • 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).
  • A. Singer, M. Cucuringu, ``Uniqueness of Low-Rank Matrix Completion by Rigidity Theory'', SIAM Journal on Matrix Analysis and Applications, 31 (4), pp. 1621-1641 (2010).
  • A. Singer, R. Erban, I. G. Kevrekidis, R. R. Coifman, ``Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps'' , Proceedings of the National Academy of Sciences, 106 (38), pp. 16090-16095 (2009).
  • A. Singer, J. Norbury, ``A Poisson-Nernst-Planck model for biological ion channels - an asymptotic analysis in a 3-D narrow funnel'' , SIAM J. Appl. Math., 70 (3), pp. 949-968 (2009).
  • A. Singer, Y. Shkolnisky, B. Nadler, ``Diffusion Interpretation of Non-Local Neighborhood Filters for Signal Denoising”, SIAM Journal on Imaging Sciences, 2 (1), pp. 118-139 (2009).
  • A. Singer, Z. Schuss, D. Holcman, ``Narrow escape and leakage of Brownian particles”, Phys. Rev. E, 78, 051111 (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).
  • A. Singer, ``A Remark on Global Positioning from Local Distances", Proceedings of the National Academy of Sciences, 105 (28):9507-9511 (2008).
  • A. Singer, R. R. Coifman, ``Non Linear Independent Component Analysis with Diffusion Maps", Applied and Computational Harmonic Analysis, 25 (2), pp. 226-239 (2008).
  • E. Liberty, N. Ailon, A. Singer, ``Dense Fast Random Projections and Lean Walsh Transforms”, Discrete and Computational Geometry, 45 (1), pp. 34-44 (2011). Also, In A. Goel et al. (Eds.): APPROX and RANDOM 2008, LNCS 5171, Springer-Verlag Berlin Heidelberg, 512-522 (2008).
  • A. Singer, Z. Schuss, A. Osipov, D. Holcman, ``Partially Reflected Diffusion“, SIAM J. Appl. Math., 68 (3):844-868 (2008).
  • A. Singer, D. Gillespie, J. Norbury, R. S. Eisenberg, ``Singular perturbation analysis of the steady state Poisson-Nernst-Planck system: applications to ion channels”, European Journal of Applied Mathematics, 19 (5) pp. 541--560 (2008). Copyright Notice
  • A. Singer, Z. Schuss, ``Activation through a narrow opening", SIAM J. Appl. Math., 68 (1):98-108 (2007).
  • Z. Schuss, A. Singer, D. Holcman, ``The narrow escape problem for diffusion in cellular microdomains, Proceedings of the National Academy of Sciences, 104 (41): 16098–16103 (2007). [supporting information]
  • A. Singer, Z. Schuss, ``Activation through a narrow opening", Phys. Rev. E (Rapid Comm.), 74, 020103(R) (2006).
  • A. Singer, ``Spectral Independent Component Analysis", Applied and Computational Harmonic Analysis, 21 (1), 128-134 (2006).
  • A. Singer, ``From graph to manifold Laplacian: the convergence rate", Applied and Computational Harmonic Analysis, 21 (1), 135-144 (2006).
  •  A. Singer, Z. Schuss, D. Holcman, R. S. Eisenberg, ``Narrow Escape, part I", J. Stat. Phys. 122 (3), 437-463 (2006).
  •  A. Singer, Z. Schuss, D. Holcman, ``Narrow Escape, part II: the circular disk", J. Stat. Phys. 122 (3), 465-489 (2006).
  •  A. Singer, Z. Schuss, D. Holcman, ``Narrow Escape, part III:  Non-smooth domains and Riemann surfaces", J. Stat. Phys. 122 (3), 491-509 (2006).
  •  A. Singer, Z. Schuss, ``Asymptotic Solution of Wang-Uhlenbeck Recurrence Time Problem", Phys. Rev. Lett. 95, 110601 (2005).
  • A. Singer, Z. Schuss, R. S. Eisenberg, ``Attenuation of the electric potential and field in disordered systems", J. Stat. Phys. 119 (5/6), 1397-1418 (2005).
  • B. Nadler, Z. Schuss, A. Singer, ``Langevin trajectories between fixed concentrations", Phys. Rev. Lett. 94, 218101 (2005).
  • A. Singer, Z. Schuss, ``Brownian simulations and uni-directional flux in diffusion", Phys. Rev. E 71 026115 (2005).
  • A. Singer, Z. Schuss, B. Nadler, R. S. Eisenberg, ``Memoryless control of boundary concentrations of diffusing particles", Phys. Rev. E 70, 061106 (2004).
  • A. Singer, ``Maximum entropy formulation of the Kirkwood superposition approximation", J. Chem. Phys., 121 (8), 3657-3666 (2004).
  • B. Nadler, Z. Schuss, A. Singer, R. S. Eisenberg, ``Ionic diffusion through confined geometries: from Langevin equations to partial differential equations", J. Phys.: Condens. Matter, 16, S2153-S2165 (2004).


  •