J. Hoskins, Y. Khoo, O. Mickelin, A. Singer, Y. Wang,
``Subspace method of moments for ab initio 3-D single-particle cryo-EM reconstruction”, submitted. Available at arXiv.
M.A. Gilles, A. Singer,
``Cryo-EM Heterogeneity Analysis using Regularized Covariance Estimation and Kernel Regression”, submitted. Available at bioRxiv.
J. Kileel, N. F. Marshall, O. Mickelin, A. Singer,
``Fast expansion into harmonics on the ball”, submitted. Available at arXiv.
A. Zhang, O. Mickelin, J. Kileel, E.J. Verbeke, N.F. Marshall, M.A. Gilles, A. Singer,
``Moment-based metrics for molecules computable from cryo-EM images”, Biological Imaging, 4, E3 (2024).
E. Verbeke, M.A. Gilles, T. Bendory, A. Singer,
``Self Fourier shell correlation: properties and application to cryo-ET”, Communications Biology, 7:101 (2024).
A. Singer, R. Yang,
``Alignment of Density Maps in Wasserstein Distance”, Biological Imaging, 4, E5 (2024).
T. Bendory, Y. Khoo, J. Kileel, O. Mickelin, A. Singer,
``Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms”, Proceedings of the National Academy of Sciences, 120 (18) e2216507120 (2023).
T. Einav, Y. Khoo, A. Singer,
``Quantitatively visualizing bipartite datasets”, Physical Review X, 13 (2), 021002 (2023).
S. Kreymer, A. Singer, T. Bendory,
``A Stochastic Approximate Expectation-Maximization for Structure Determination Directly from Cryo-EM Micrographs”, submitted. Available at arXiv.
N. F. Marshall, O. Mickelin, Y. Shi, A. Singer,
``Fast Principal Component Analysis for Cryo-EM Images”, Biological Imaging, 3 E2 (2023).
N. F. Marshall, O. Mickelin, A. Singer,
``Fast expansion into harmonics on the disk: a steerable basis with fast radial convolutions”, SIAM Journal on Scientific Computing, 45 (5), pp. A2431-A2457 (2023).
P. Greengard, J. G. Hoskins, N. F. Marshall, A. Singer,
``On a linearization of quadratic Wasserstein distance”, submitted. Available at arXiv.
T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer,
``Toward single particle reconstruction without particle picking: Breaking the detection limit”, SIAM Journal on Imaging Sciences, 16 (2), pp. 886-910 (2023).
T. Bendory, T.-Y. Lan, N.F. Marshall, I. Rukshin, A. Singer,
``Multi-target detection with rotations”, Inverse Problems and Imaging, 17 (2), pp. 362-380 (2022).
Y. Shi and A. Singer,
``Ab-initio Contrast Estimation and Denoising of Cryo-EM Images”, Computer Methods and Programs in Biomedicine, 224, pp. 107018 (2022).
M.A. Gilles and A. Singer,
``A Molecular Prior Distribution for Bayesian Inference Based on Wilson Statistics”, Computer Methods and Programs in Biomedicine, 221, pp. 106830 (2022).
S. Kreymer, A. Singer, T. Bendory,
``An approximate expectation-maximization for two-dimensional multi-target detection”, IEEE Signal Processing Letters, 29, pp. 1087-1091 (2022).
T. Bendory, O. Mickelin, A. Singer,
``Sparse multi-reference alignment: sample complexity and computational hardness”, ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Singapore, pp. 8977-8981 (2022).
T.-Y. Lan, N. Boumal, A. Singer,
``Random Conical Tilt Reconstruction without Particle Picking in Cryo-electron Microscopy”, Acta Crystallographica Section A: Foundations and Advances, 78 (4) (2022).
A. Singer,
``Wilson Statistics: Derivation, Generalization, and Applications to Electron Cryomicroscopy”, Acta Crystallographica Section A: Foundations and Advances, 77 (5), pp. 472-479 (2021).
J. Kileel, A. Moscovich, N. Zelesko, A. Singer,
``Manifold learning with arbitrary norms”, Journal of Fourier Analysis and Applications, 27 (5), 82 (2021).
S. Zhang, A. Moscovich, A. Singer,
``Product Manifold Learning”, AISTATS 2021, pp. 3241-3249 (2021).
A. Heimowitz, N. Sharon, A. Singer,
``Centering noisy images with application to cryo-EM”, SIAM Journal on Imaging Sciences, 14 (2), pp. 689--716 (2021).
J. F. S. Bravo-Ferreira, D. Cowburn, Y. Khoo, A. Singer,
``NMR Assignment through Linear Programming”, Journal of Global Optimization, pp. 1-26 (2021).
T. Bendory, A. Jaffe, W. Leeb, N. Sharon, A. Singer,
``Super-resolution multi-reference alignment”, Information and Inference: A Journal of the IMA, 11 (2), pp. 533-555 (2021).
T. Pumir, A. Singer, N. Boumal,
``The generalized orthogonal Procrustes problem in the high noise regime”, Information and Inference: A Journal of the IMA, 10 (3), pp. 921-954 (2021).
R. Rao, A. Moscovich, A. Singer,
``Wasserstein K-Means for Clustering Tomographic Projections”, NeurIPS 2020, Machine Learning for Structural Biology (MLSB) Workshop.
A. Singer and F.J. Sigworth,
``Computational Methods for Single-Particle Electron Cryomicroscopy”, Annual Review of Biomedical Data Science, 3 pp. 163-190 (2020).
N. Zelesko, A. Moscovich, J. Kileel, A. Singer,
``Earthmover-based manifold learning for analyzing molecular conformation spaces”, 2020 IEEE 17th International Symposium on Biomedical Imaging (ISBI), Iowa City, IA, USA, pp. 1715-1719 (2020).
A. Heimowitz, J. Andén, A. Singer,
``Reducing bias and variance for CTF estimation in single particle cryo-EM”, Ultramicroscopy, 212 112950 (2020).
N. F. Marshall, T.-Y. Lan, T. Bendory, A. Singer,
``Image recovery from rotational and translational invariants”, ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Barcelona, Spain, pp. 5780-5784 (2020).
T. Bendory, A. Bartesaghi, A. Singer,
``Single-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities”, IEEE Signal Processing Magazine, 37 (2), pp. 58-76 (2020).
N. Sharon, J. Kileel, Y. Khoo, B. Landa, A. Singer,
``Method of moments for 3-D single particle ab initio modeling with non-uniform distribution of viewing angles”, Inverse Problems, 36 (4) 044003 (2020).
R. R. Lederman, J. Andén, A. Singer,
``Hyper-Molecules: on the Representation and Recovery of Dynamical Structures for Applications in Flexible Macro-Molecules in Cryo-EM”, Inverse Problems, 36 (4) 044005 (2020).
T.-Y. Lan, T. Bendory, N. Boumal, A. Singer,
``Multi-target detection with an arbitrary spacing distribution”, IEEE Transactions on Signal Processing, 68 (1), pp. 1589-1601 (2020).
A. Moscovich, A. Halevi, J. Andén, A. Singer,
``Cryo-EM reconstruction of continuous heterogeneity by Laplacian spectral volumes”, Inverse Problems, 36 (2) 024003 (2020).
Z. Zhao, L. Liu, A. Singer,
``Steerable ePCA: Rotationally Invariant Exponential Family PCA”, IEEE Transactions on Image Processing, 29 (1), pp. 6069-6081 (2020).
E. Dobriban, W. Leeb, A. Singer,
``Optimal prediction in the linearly transformed spiked model”, Annals of Statistics, 48 (1), pp. 491-513 (2020).
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”, IEEE Transactions on Image Processing, 29 (1), pp. 1699-1710 (2020).
R. R. Lederman, A. Singer,
``A Representation Theory Perspective on Simultaneous Alignment and Classification”, Applied and Computational Harmonic Analysis, 49 (3), pp. 1001-1024 (2020).
A. S. Bandeira, Y. Chen, R. R. Lederman, A. Singer,
``Non-Unique Games over Compact Groups and Orientation
Estimation in Cryo-EM”, Inverse Problems, 36 (6) 064002 (2020).
T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer,
``Multi-target detection with application to cryo-electron microscopy”, Inverse Problems, 35 (10) 104003 (2019).
A. Perry, J. Weed, A. S. Bandeira, P. Rigollet, A. Singer,
``The sample complexity of multi-reference alignment”, SIAM Journal on Mathematics of Data Science, 1 (3), pp. 497-517 (2019).
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, 65 (6), pp. 3565-3584 (2019).
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).
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.
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).
Y. Khoo, A. Singer, D. Cowburn,
``Bias Correction in Saupe Tensor Estimation”, 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).
