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Preprints


  1. An ultra-fast MLE for low SNR multi-reference alignment. S. Kreymer, A. Balanov, and T. Bendory. Submitted to IEEE Signal Processing Letters. code.
  2. Orbit recovery under the rigid motions group. A. Balanov, T. Bendory, and D. Edidin. Submitted to Communications on Pure and Applied Mathematics. code.
  3. Sample complexity analysis of multi-target detection via Markovian and hard-core multi-reference alignment. K. Abraham, A. Balanov, T. Bendory, and C. Esteve-Yague. Submitted to Information and Inference: A journal of the IMA.
  4. Bayesian perspective for orientation determination in cryo-EM with application to structural heterogeneity analysis. S. Xu, A. Balanov, A. Singer, and T. Bendory. Submitted to Acta Cryst. D. bioRxiv. code.
  5. Solving ill-conditioned polynomial equations using score-based priors with application to multi-target detection . R. Beinhorn, S. Kreymer, A. Balanov, M. Cohen, A. Zabatani, and T. Bendory. Submitted to EUSIPCO '26. code.
  6. Structure from Noise: Confirmation bias in particle picking in structural biology. A. Balanov, A. Zabatani, and T. Bendory. Submitted to IEEE Transactions on Computational Imaging. bioRxiv.
  7. Orbit recovery for spherical functions. T. Bendory, D. Edidin, J. Katz, and S. Kreymer. Submitted to SIAM Journal on Applied Algebra and Geometry (SIAGA). code
  8. Expectation-maximization for multi-reference alignment: Two pitfalls and one remedy. A. Balanov, W. Huleihel, and T. Bendory. Submitted to IEEE Journal of Selected Topics in Signal Processing.
  9. Einstein from Noise: Statistical Analysis. A. Balanov, W. Huleihel, and T. Bendory. Submitted to IEEE Transactions on Signal Processing. arXiv.
  10. A stochastic approximate expectation-maximization for structure determination directly from cryo-EM micrographs. S. Kreymer, A. Singer, and T. Bendory. Submitted to Inverse Problems and Imaging. code

Book Chapters and survey articles


  1. Algebraic theory of phase retrieval . T. Bendory and D. Edidin. Notices of the AMS, '22. arXiv.
  2. Single-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities. T. Bendory, A. Bartesaghi, A. Singer. IEEE Signal Processing Magazine, '20. Front cover, arXiv.
  3. Fourier Phase Retrieval: Uniqueness and Algorithms.. T. Bendory, R. Beinert, Y. Eldar. Compressed Sensing and its Applications, '17. arXiv.

Publications


  1. SO(3)-invariant PCA with application to molecular data. M. Fraiman, P. Hoyos, T. Bendory, J. Kileel, O. Mickelin, N. Sharon, and A. Singer. To appear in ISBI '26. code.
  2. The stability of generalized phase retrieval problem over compact groups. T. Amir, T. Bendory, N. Dym, and D. Edidin. To appear in Applied and Computational Hamornics Analysis (ACHA).
  3. Object detection under the linear subspace model with application to cryo-EM images. A. Eldar, K. Waknin, S. Davenport, T. Bendory, A. Schwartzman, and Y. Shkolnisky. To appear in the Annals of Statistics. code
  4. Provable algorithms for multi-reference alignment over SO(2). G. Drozatz, T. Bendory, and N. Sharon. code. To appear in EUSIPCO '25.
  5. A transversality theorem for semi-algebraic sets with application to signal recovery from the second moment and cryo-EM. T. Bendory, N. Dym, D. Edidin, and A. Suresh. Foundations of Computational Mathematics, '25. arXiv.
  6. Confirmation bias in Gaussian mixture models. A. Balanov, T. Bendory and W. Huleihel. IEEE Transactions on Information Theory, '25. arXiv.
  7. A note on the sample complexity of multi-target detection. A. Balanov, S. Kreymer, and T. Bendory. To appear in SampTA '25.
  8. The generalized phase retrieval problem over compact groups. T. Bendory and D. Edidin. To appear in SampTA '25.
  9. Phase retrieval with semi-algebraic and ReLU neural network priors . T. Bendory, N. Dym, D. Edidin, and A. Suresh. SIAM Journal on Mathematics of Data Science, '25.
  10. The beltway problem over orthogonal groups. T. Bendory, D. Edidin, and O. Mickelin. Applied and Computational Hamornics Analysis (ACHA), '25. arXiv.
  11. Image detection using combinatorial auction. S. Anuk, T. Bendory, and A. Painsky. IEEE Open Journal of Signal Processing, '24. arXiv. code
  12. SE(3) synchronization by eigenvectors of dual quaternion matrices. I. Hadi, T. Bendory, N. Sharon. Information and Inference: A journal of the IMA, '24. arXiv. code
  13. Denoiser-based projections for 2-D super-resolution multi-reference alignment . J. Shani, R. Giryes, T. Tirer, and T. Bendory. IEEE Open Journal of Signal Processing, '24. arXiv. code
  14. Detection and recovery of hidden submatrices . M. Dadon, W. Huleihel, T. Bendory. IEEE Transactions on Signal and Information Processing over Networks, '24. arXiv.
  15. Score-based diffusion priors for multi-target detection . A. Zabatani, S. Kreymer and T. Bendory. CISS, '24. arXiv. code
  16. Self Fourier shell correlation: properties and application to cryo-ET . E. Verbeke, M. Gilles, T. Bendory, and A. Singer. Communications Biology, '24. biorXiv. code
  17. The sample complexity of sparse multi-reference alignment and single-particle cryo-electron microscopy . T. Bendory and D. Edidin. SIAM Journal on Mathematics of Data Science, '24. arXiv.
  18. Statistical and Computational Limits of Detecting and Recovering Hidden Submatrices. M. Dadon, W. Huleihel, and T. Bendory. ICASSP, '24.
  19. Unrolled algorithms for group synchronization . N. Janco and T. Bendory. IEEE Open Journal of Signal Processing, '23. arXiv. code
  20. Finite alphabet phase retrieval. T. Bendory, D. Edidin, and I. Gonzalez. Applied and Computational harmonic Analysis (ACHA), '23. arXiv.
  21. Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms. T. Bendory, Y. Khoo, J. Kileel, O. Mickelin, and A. Singer. Proceedings of the National Academy of Sciences (PNAS), '23. arXiv. code
  22. Signal enhancement for two-dimensional cryo-EM data processing. G. Sharon, Y. Shkolnisky, and T. Bendory. Biological Imaging, '23. arXiv. code
  23. Detecting non-overlapping signals with dynamic programming. M. Roth, A. Painsky, and T. Bendory. Entropy, '23. arXiv. code
  24. Toward single particle reconstruction without particle picking: Breaking the detection limit. T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer. SIAM Journal on Imaging Sciences, '23. arXiv. code.
  25. Unsupervised particle sorting for cryo-EM using probabilistic PCA. G. Weiss-Dicker, A. Eldar, Y. Shkolinsky, and T. Bendory. ISBI, '23. arXiv. code
  26. Near-optimal bounds for signal recovery from blind phaseless periodic short-time Fourier transform. T. Bendory, C. Cheng, and D. Edidin. Journal of Fourier Analysis and Applications, '23. arXiv.
  27. Multi-target detection with rotations. T. Bendory, T. Lan, N. Marshall, I. Rushkin, and A. Singer. Inverse Problems and Imaging, '23. arXiv.
  28. An accelerated expectation-maximization for multi-reference alignment . N. Janco and T. Bendory. IEEE Transactions on Signal Processing, '22. arXiv. code
  29. Compactification of the rigid motions group in image processing . T. Bendory, I. Hadi, and N. Sharon. SIAM Journal on Imaging Sciences, '22. arXiv. code
  30. An approximate expectation-maximization for two-dimensional multi-target detection . S. Kreymer, A. Singer, and T. Bendory. IEEE Signal Processing Letters, '22. arXiv. code
  31. The generalized method of moments for multi-reference alignment. A. Abas, T. Bendory, N. Sharon. IEEE Transactions on Signal Processing, '22. arXiv. code
  32. On the role of channel capacity in learning Gaussian mixture models . E. Romanov, T. Bendory, and O. Ordentlich. COLT, '22. arXiv.
  33. Two-dimensional multi-target detection: an autocorrelation analysis approach. S. Kreymer and T. Bendory. IEEE Transactions on Signal Processing, '22. arXiv. code
  34. Dihedral multi-reference alignment . T. Bendory, D. Edidin, W. Leeb, and N. Sharon. IEEE Transactions on Information Theory, '22. arXiv. code
  35. Sparse multi-reference alignment: sample complexity and computational hardness . T. Bendory, O. Mickelin, and A. Singer. ICASSP, '22. arXiv code
  36. Generalized autocorrelation analysis for multi-target detection . Y. Shalit, R. Weber, A. Abas, S. Kreymer, and T. Bendory. ICASSP, '22. arXiv code
  37. Signal recovery from a few linear measurements of its high-order spectra . T. Bendory, D. Edidin, and S. Kreymer. Applied and Computational Hamornics Analysis (ACHA), '22. arXiv. code
  38. Super-resolution multi-reference alignment. T. Bendory, A. Jaffe, W. Leeb, N. Sharon, and A. Singer. Information and Inference: A Journal of the IMA, '22. arXiv. code.
  39. Multi-reference alignment in high dimensions: sample complexity and phase transition . E. Romanov, T. Bendory, and O. Ordentlich. SIAM Journal on Mathematics of Data Science, '21. arXiv. code.
  40. Stable super-resolution of images: A theoretical study. A. Eftekhari, T. Bendory, G. Tang. Information and Inference: A Journal of the IMA, '21. arXiv.
  41. Toward a mathematical theory of the crystallographic phase retrieval problem . T. Bendory and D. Edidin. SIAM Journal on Mathematics of Data Science, '20. arXiv.
  42. Multi-target detection with an arbitrary spacing distribution. T. Lan, T. Bendory, N. Boumal, A. Singer. IEEE Transactions on Signal Processing, '20. arXiv, code.
  43. Unsupervised particle sorting for high-resolution single-particle cryo-EM. Y. Zhou, A. Moscovich, T. Bendory, A. Bartesaghi. Inverse Problems, '20. arXiv.
  44. Image recovery from rotational and translational invariants. ICASSP, '20. arXiv
  45. On signal reconstruction from FROG measurements. T. Bendory, D. Edidin, Y. Eldar. Applied and Computational Harmonics Analysis (ACHA), '20. arXiv.
  46. Frequency-resolved optical gating recovery via smoothing gradient. S. Pinilla, T. Bendory, Y. Eldar, H. Arguello. IEEE Transactions on Signal Processing, '19. arXiv, code.
  47. Blind phaseless short-time Fourier transform recovery. T. Bendory, D. Edidin, Y. Eldar. IEEE Transactions on Information Theory, '20. arXiv
  48. Heterogeneous multireference alignment for images with application to 2-D classification in single particle reconstruction. C. Ma. T. Bendory, N. Boumal, F. Sigworth, A. Singer. IEEE Transactions on Image Processing, '19. arXiv, code.
  49. Multi-target detection with application to cryo-electron microscopy. T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer. Inverse Problems, '19. arXiv, code.
  50. Multireference alignment is easier with an aperiodic translation distribution. E. Abbe, T. Bendory, W. Leeb, J. Pereira, N. Sharon, A. Singer​. IEEE Transactions on Information Theory, '19. arXiv, code.
  51. Recovering signals from their FROG trace. T. Bendory, D. Edidin, Y. Eldar. ICASSP, '18.
  52. Benchmark problems for phase retrieval. V. Elser, T. Lan, T. Bendory. SIAM Journal on Imaging Sciences, '18. arXiv, code.
  53. 3D ab initio modeling in cryo-EM by autocorrelation analysis . E. Levin, T. Bendory, N. Boumal, J. Kileel, A. Singer. ISBI, '18. arXiv, code. Best student paper award
  54. Heterogeneous multireference alignment: a single pass approach. N. Boumal, T. Bendory, R. Lederman, A. Singer. CISS, '18. arXiv, code.
  55. Bispectrum inversion with application to multireference alignment. T. Bendory, N. Boumal, C. Ma, Z. Zhao, A. Singer. IEEE Transactions on Signal Processing, '18. arXiv, code.
  56. Non-convex phase retrieval from STFT measurements. T. Bendory, Y. Eldar, N. Boumal. IEEE Transactions on Information Theory, '18. arXiv.
  57. On the uniqueness of FROG methods. T. Bendory, P. Sidorenko, Y. Eldar. IEEE Signal Processing Letters, '17. arXiv.
  58. Phase retrieval from STFT measurements via non-convex optimization. T. Bendory, Y. Eldar. ICASSP, '17.
  59. Robust recovery of positive stream of pulses. T. Bendory. IEEE Transactions on Signal Processing, '17. arXiv.
  60. Stable support recovery of stream of pulses with application to ultrasound imaging. T. Bendory, A. Bar-Zion, D. Adam, S. Dekel, A. Feuer. IEEE Transactions on Signal Processing, '16. arXiv.
  61. Robust recovery of stream of pulses using convex optimization. T. Bendory, S. Dekel, A. Feuer. Journal of mathematical analysis and applications, '16. arXiv.
  62. Sparse sampling in helical cone-beam CT perfect reconstruction algorithms. T. Bendory, A. Feuer. Journal of X-ray science and technology, '16. arXiv.
  63. Recovery of sparse positive signals on the sphere from low resolution measurements. T. Bendory, Y. Eldar. IEEE Signal Processing Letters, '15. arXiv.
  64. Unified convex optimization approach to super-resolution based on localized kernels. T. Bendory, S. Dekel, A. Feuer. SampTA, '15.
  65. Super-resolution on the sphere using convex optimization. ​T. Bendory, S. Dekel, A. Feuer. IEEE Transactions on Signal Processing, '15. arXiv.
  66. Exact recovery of Dirac ensembles from the projection onto spaces of spherical harmonics. ​T. Bendory, S. Dekel, A. Feuer. Constructive Approximation, '15. arXiv.
  67. Exact recovery of non-uniform splines from the projection onto spaces of algebraic polynomials. ​T. Bendory, S. Dekel, A. Feuer. Journal of Approximation Theory, '14. arXiv.