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Preprints


  1. The beltway problem over orthogonal groups. T. Bendory, D. Edidin, and O. Mickelin. Submitted to Applied and Computational Hamornics Analysis (ACHA).
  2. Optimal detection of non-overlapping images via combinatorial auction . S. Anuk, T. Bendory, and A. Painsky. Submitted to IEEE Open Journal of Signal Processing. code
  3. Phase retrieval with semi-algebraic and ReLU neural network priors . T. Bendory, N. Dym, D. Edidin, and A. Suresh. Submitted to SIAM Journal on Mathematics of Data Science.
  4. SE(3) Synchronization by Eigenvectors of Dual Quaternion Matrices . I. Hadi, T. Bendory, N. Sharon. Submitted to information and inference: A journal of the IMA.
  5. A stochastic approximate expectation-maximization for structure determination directly from cryo-EM micrographs. S. Kreymer, A. Singer, and T. Bendory. Submitted to IEEE Transactions on Computational Imaging.

Book Chapters and survey articles


  1. Algebraic theory of phase retrieval . T. Bendory and D. Edidin. Notices of the AMS, vol. 69, num. 9, pp. 1487-1495 2022. arXiv.
  2. Single-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities. T. Bendory, A. Bartesaghi, A. Singer. IEEE Signal Processing Magazine, vol. 37, no. 2, pp. 58-76, 2020. Front cover, arXiv.
  3. Fourier Phase Retrieval: Uniqueness and Algorithms.. T. Bendory, R. Beinert, Y. Eldar. Compressed Sensing and its Applications, pp. 55-91, 2017. arXiv.

Journal Publications


  1. Denoiser-based projections for 2-D super-resolution multi-reference alignment . J. Shani, R. Giryes, T. Tirer, and T. Bendory. To appear in IEEE Open Journal of Signal Processing. code
  2. Detection and recovery of hidden submatrices . M. Dadon, W. Huleihel, T. Bendory. IEEE Transactions on Signal and Information Processing over Networks, vol. 10, pp. 69-82, 2024. arXiv.
  3. Self Fourier shell correlation: properties and application to cryo-ET . E. Verbeke, M. Gilles, T. Bendory, and A. Singer. Communications Biology, vol. 7, num. 101, 2024. code
  4. The sample complexity of sparse multi-reference alignment and single-particle cryo-electron microscopy . T. Bendory and D. Edidin. To appear in SIAM Journal on Mathematics of Data Science.
  5. Unrolled algorithms for group synchronization . N. Janco and T. Bendory. IEEE Open Journal of Signal Processing, vol. 4, pp. 424-436, 2023. arXiv. code
  6. Finite alphabet phase retrieval. T. Bendory, D. Edidin, and I. Gonzalez. Applied and Computational Hamornics Analysis (ACHA), vol. 66, pp. 151-160, 2023. arXiv.
  7. 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), vol. 120, num. 18, pp. e2216507120, 2023. arXiv. code
  8. Signal enhancement for two-dimensional cryo-EM data processing. G. Sharon, Y. Shkolnisky, and T. Bendory. Biological Imaging, vol. 3, pp. e7, 2023. arXiv. code
  9. Detecting non-overlapping signals with dynamic programming. M. Roth, A. Painsky, and T. Bendory. Entropy, vol. 25, num. 2, pp. 250, 2023. arXiv. code
  10. 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, vol. 16, no. 2, pp. 886-910, 2023. arXiv. code.
  11. 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, vol. 29, issue 1, pp. 1-20, 2023. arXiv.
  12. Multi-target detection with rotations. T. Bendory, T. Lan, N. Marshall, I. Rushkin, and A. Singer. Inverse Problems and Imaging, vol. 17, issue 2, pp. 362-380, 2023. arXiv.
  13. An accelerated expectation-maximization for multi-reference alignment . N. Janco and T. Bendory. IEEE Transactions on Signal Processing, vol. 70, pp. 3237-3248, 2022. arXiv. code
  14. Compactification of the rigid motions group in image processing . T. Bendory, I. Hadi, and N. Sharon. SIAM Journal on Imaging Sciences, vol. 15, no. 3, pp. 1041-1078, 2022. arXiv. code
  15. An approximate expectation-maximization for two-dimensional multi-target detection . S. Kreymer, A. Singer, and T. Bendory. IEEE Signal Processing Letters, vol. 29, pp. 1087-1091, 2022. arXiv. code
  16. The generalized method of moments for multi-reference alignment. A. Abas, T. Bendory, N. Sharon. IEEE Transactions on Signal Processing, vol. 70, pp. 1377-1388, 2022. arXiv. code
  17. Two-dimensional multi-target detection: an autocorrelation analysis approach. S. Kreymer and T. Bendory. IEEE Transactions on Signal Processing, vol. 70, pp. 835-849, 2022. arXiv. code
  18. Dihedral multi-reference alignment . T. Bendory, D. Edidin, W. Leeb, and N. Sharon. IEEE Transactions on Information Theory, vol. 68, issue 5, pp. 3489-3499, 2022. arXiv. code
  19. 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), vol. 56, pp. 391-401, 2022. arXiv. code
  20. Super-resolution multi-reference alignment. T. Bendory, A. Jaffe, W. Leeb, N. Sharon, and A. Singer. Information and Inference: A Journal of the IMA, vol. 11, issue 2, pp. 533–555, 2022. arXiv. code.
  21. 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, vol.3, issue 2, pp. 494-523, 2021. arXiv. code.
  22. Stable super-resolution of images: A theoretical study. A. Eftekhari, T. Bendory, G. Tang. Information and Inference: A Journal of the IMA, vol. 10, issue 1, pp. 161–193, 2021. arXiv.
  23. Toward a mathematical theory of the crystallographic phase retrieval problem . T. Bendory and D. Edidin. SIAM Journal on Mathematics of Data Science, vol. 2, issue 3, pp. 809-839, 2020. arXiv.
  24. Multi-target detection with an arbitrary spacing distribution. T. Lan, T. Bendory, N. Boumal, A. Singer. IEEE Transactions on Signal Processing, vol. 68, issue 1, pp. 1589-1601, 2020. arXiv, code.
  25. Unsupervised particle sorting for high-resolution single-particle cryo-EM. Y. Zhou, A. Moscovich, T. Bendory, A. Bartesaghi. Inverse Problems, vol. 36, no. 4, 2020. arXiv.
  26. Frequency-resolved optical gating recovery via smoothing gradient. S. Pinilla, T. Bendory, Y. Eldar, H. Arguello. IEEE Transactions on Signal Processing, vol. 67, issue 23, pp. 6121-6132, 2019. arXiv, code.
  27. Blind phaseless short-time Fourier transform recovery. T. Bendory, D. Edidin, Y. Eldar. IEEE Transactions on Information Theory, vol. 66, issue 5, pp. 3232-3241, 2020. arXiv
  28. 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, vol. 29, issue 1, pp. 1699-1710, 2019. arXiv, code.
  29. Multi-target detection with application to cryo-electron microscopy. T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer. Inverse Problems, vol. 35, no. 10, 2019. arXiv, code.
  30. 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, vol. 65, issue 6, pp. 3565-3584, 2019. arXiv, code.
  31. On signal reconstruction from FROG measurements. T. Bendory, D. Edidin, Y. Eldar. Applied and Computational Harmonics Analysis (ACHA), vol. 48, issue 3, pp. 1030-1044, 2020. arXiv.
  32. Benchmark problems for phase retrieval. V. Elser, T. Lan, T. Bendory. SIAM Journal on Imaging Sciences, vol. 11, no. 4, pp. 2429-2455, 2018. arXiv, code.
  33. Bispectrum inversion with application to multireference alignment. T. Bendory, N. Boumal, C. Ma, Z. Zhao, A. Singer. IEEE Transactions on Signal Processing, vol. 66, issue 4, pp. 1037-1050, 2018. arXiv, code.
  34. Non-convex phase retrieval from STFT measurements. T. Bendory, Y. Eldar, N. Boumal. IEEE Transactions on Information Theory, vol. 64, issue 1, pp. 467-484, 2018. arXiv.
  35. On the uniqueness of FROG methods. T. Bendory, P. Sidorenko, Y. Eldar. IEEE Signal Processing Letters, vol. 24, issue 5, pp. 722-726, 2017. arXiv.
  36. Robust recovery of positive stream of pulses. T. Bendory. IEEE Transactions on Signal Processing, vol. 65, issue 8, pp. 2114-2122, 2017. arXiv.
  37. 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, vol. 64, issue 14, pp. 3750-3759, 2016. arXiv.
  38. Robust recovery of stream of pulses using convex optimization. T. Bendory, S. Dekel, A. Feuer. Journal of mathematical analysis and applications, 442.2, pp. 511-536, 2016. arXiv.
  39. Sparse sampling in helical cone-beam CT perfect reconstruction algorithms. T. Bendory, A. Feuer. Journal of X-ray science and technology, vol. 24, no. 3, pp. 389-405, 2016. arXiv.
  40. Recovery of sparse positive signals on the sphere from low resolution measurements. T. Bendory, Y. Eldar. IEEE Signal Processing Letters, vol. 22, issue 12, pp. 2383-2386, 2015. arXiv.
  41. Super-resolution on the sphere using convex optimization. ​T. Bendory, S. Dekel, A. Feuer. IEEE Transactions on Signal Processing, vol. 63, issue 9, pp. 2253-2262, 2015. arXiv.
  42. Exact recovery of Dirac ensembles from the projection onto spaces of spherical harmonics. ​T. Bendory, S. Dekel, A. Feuer. Constructive Approximation, vol. 42, issue 2, pp. 183-207, 2015. arXiv.
  43. Exact recovery of non-uniform splines from the projection onto spaces of algebraic polynomials. ​T. Bendory, S. Dekel, A. Feuer. Journal of Approximation Theory, vol. 182, pp. 7-17, 2014. arXiv.

Conference Papers


  1. Score-based diffusion priors for multi-target detection . A. Zabatani, S. Kreymer and T. Bendory. To appear in CISS '24.
  2. Statistical and Computational Limits of Detecting and Recovering Hidden Submatrices. M. Dadon, W. Huleihel, and T. Bendory. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 9626-9630, 2024.
  3. Unsupervised particle sorting for cryo-EM using probabilistic PCA. G. Weiss-Dicker, A. Eldar, Y. Shkolinsky, and T. Bendory. The IEEE International Symposium on Biomedical Imaging (ISBI), pp. 1-5, 2023. arXiv. code
  4. On the role of channel capacity in learning Gaussian mixture models . E. Romanov, T. Bendory, and O. Ordentlich. Conference on Learning Theory (COLT), pp. 4110-4159, 2022. arXiv.
  5. Sparse multi-reference alignment: sample complexity and computational hardness . T. Bendory, O. Mickelin, and A. Singer. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 8977-8981, 2022. arXiv code
  6. Generalized autocorrelation analysis for multi-target detection . Y. Shalit, R. Weber, A. Abas, S. Kreymer, and T. Bendory. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 5907-5911, 2022. arXiv code
  7. Image recovery from rotational and translational invariants. N. Marshall, T. Lan, T. Bendory, A. Singer. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 5780-5784, 2020. arXiv Online talk.
  8. Heterogeneous multireference alignment: a single pass approach. N. Boumal, T. Bendory, R. Lederman, A. Singer. Conference on Information Sciences and Systems (CISS), pp. 1-6, 2018. arXiv, code.
  9. Recovering signals from their FROG trace. T. Bendory, D. Edidin, Y. Eldar. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1488-1492, 2018.
  10. 3D ab initio modeling in cryo-EM by autocorrelation analysis . E. Levin, T. Bendory, N. Boumal, J. Kileel, A. Singer. The IEEE International Symposium on Biomedical Imaging (ISBI), pp. 1569-1573, 2018. arXiv, code. Best student paper award
  11. Phase retrieval from STFT measurements via non-convex optimization. T. Bendory, Y. Eldar. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 4770-4774, 2017.
  12. Unified convex optimization approach to super-resolution based on localized kernels. T. Bendory, S. Dekel, A. Feuer. International Conference on Sampling Theory and Applications (SampTA), pp. 58-62, 2015.

Manuscripts


  1. A note on Douglas-Rachford, subgradients, and phase retrieval. E. Levin and T. Bendory.

Conference Abstracts


  1. Generalized Unsupervised Particle Sorting for Single Particle Cryo-EM. G. Weiss-Dicker, A. Eldar, Y. Shkolnisky, and T. Bendory. Israel Data Science Initiative (IDSI), 2022.
  2. Fast and background free super-resolution ultrasound based on fluctuation statistics.. A. Bar-Zion, C. Tremblay-Darveau, O. Solomon, T. Bendory, D. Adam, Y. Eldar. 21st European Symposium on Ultrasound Contrast Imaging, 2016.