• A. Singer, H.-T. Wu, ``Vector Diffusion Maps and the Connection Laplacian”, Communications on Pure and Applied Mathematics (CPAM), accepted for publication. Also available at arXiv.
  • 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).
  • M. Cucuringu, Y. Lipman, A. Singer, ``Sensor network localization by eigenvector synchronization over the Euclidean group'', ACM Transactions on Sensor Networks, accepted for publication.
  • 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).
  • G. Amir, O. Gurel-Gurevich, E. Lubetzky, A. Singer, ``Giant components in biased graph processes'', Indiana University Mathematics Journal, accepted for publication.
  • A. Singer, ``Angular Synchronization by Eigenvectors and Semidefinite Programming'', Applied and Computational Harmonic Analysis, 30 (1), pp. 20-36 (2011).
  • 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).


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