Submitted
- R. Hadani, A. Singer, ``Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I - The intrinsic reconstitution algorithm”, submitted.
- A. Singer, Y. Shkolnisky, ``Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming”, submitted.
- A. Singer, H.-T. Wu, ``2-D tomography from noisy projections taken at unknown random directions”, submitted.
- A. Singer, ``Angular Synchronization by Eigenvectors and Semidefinite Programming”, submitted.
- A. Singer, M. Cucuringu, ``Uniqueness of Low-Rank Matrix Completion by Rigidity Theory”, submitted.
- G. Amir, O. Gurel-Gurevich, E. Lubetzky, A. Singer, ``Giant components in biased graph processes", submitted.
Published
- 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, accepted.
- 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, accepted.
- 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'' ,
- 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), 226-239 (2008).
- E. Liberty, N. Ailon, A. Singer, ``Dense Fast Random Projections and Lean Walsh Transforms”, 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“,
- 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).
Technical Reports
- R. R.
Coifman, Y. Shkolnisky, F. J. Sigworth, A. Singer, ``Cryo-EM
Structure Determination through Eigenvectors of Sparse Matrices”,
Technical Report 1389,
