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Preprints


  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. Submitted to ISBI '26. code.
  2. 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.
  3. 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.
  4. 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 ICASSP '26. code.
  5. Structure from Noise: Confirmation bias in particle picking in structural biology. A. Balanov, A. Zabatani, and T. Bendory. Submitted to Journal of Structural Biology. bioRxiv.
  6. 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
  7. 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.
  8. The stability of generalized phase retrieval problem over compact groups. T. Amir, T. Bendory, N. Dym, and D. Edidin. Submitted to Applied and Computational Hamornics Analysis (ACHA).
  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.

Journal Publications


  1. 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
  2. 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.
  3. Confirmation bias in Gaussian mixture models. A. Balanov, T. Bendory and W. Huleihel. IEEE Transactions on Information Theory, '25. arXiv.
  4. 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.
  5. The beltway problem over orthogonal groups. T. Bendory, D. Edidin, and O. Mickelin. Applied and Computational Hamornics Analysis (ACHA), '25. arXiv.
  6. Image detection using combinatorial auction. S. Anuk, T. Bendory, and A. Painsky. IEEE Open Journal of Signal Processing, '24. arXiv. code
  7. 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
  8. 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
  9. Detection and recovery of hidden submatrices . M. Dadon, W. Huleihel, T. Bendory. IEEE Transactions on Signal and Information Processing over Networks, '24. arXiv.
  10. Self Fourier shell correlation: properties and application to cryo-ET . E. Verbeke, M. Gilles, T. Bendory, and A. Singer. Communications Biology, '24. biorXiv. code
  11. 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.
  12. Unrolled algorithms for group synchronization . N. Janco and T. Bendory. IEEE Open Journal of Signal Processing, '23. arXiv. code
  13. Finite alphabet phase retrieval. T. Bendory, D. Edidin, and I. Gonzalez. Applied and Computational harmonic Analysis (ACHA), '23. arXiv.
  14. 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
  15. Signal enhancement for two-dimensional cryo-EM data processing. G. Sharon, Y. Shkolnisky, and T. Bendory. Biological Imaging, '23. arXiv. code
  16. Detecting non-overlapping signals with dynamic programming. M. Roth, A. Painsky, and T. Bendory. Entropy, '23. arXiv. code
  17. 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.
  18. 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.
  19. Multi-target detection with rotations. T. Bendory, T. Lan, N. Marshall, I. Rushkin, and A. Singer. Inverse Problems and Imaging, '23. arXiv.
  20. An accelerated expectation-maximization for multi-reference alignment . N. Janco and T. Bendory. IEEE Transactions on Signal Processing, '22. arXiv. code
  21. Compactification of the rigid motions group in image processing . T. Bendory, I. Hadi, and N. Sharon. SIAM Journal on Imaging Sciences, '22. arXiv. code
  22. An approximate expectation-maximization for two-dimensional multi-target detection . S. Kreymer, A. Singer, and T. Bendory. IEEE Signal Processing Letters, '22. arXiv. code
  23. The generalized method of moments for multi-reference alignment. A. Abas, T. Bendory, N. Sharon. IEEE Transactions on Signal Processing, '22. arXiv. code
  24. Two-dimensional multi-target detection: an autocorrelation analysis approach. S. Kreymer and T. Bendory. IEEE Transactions on Signal Processing, '22. arXiv. code
  25. Dihedral multi-reference alignment . T. Bendory, D. Edidin, W. Leeb, and N. Sharon. IEEE Transactions on Information Theory, '22. arXiv. code
  26. 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
  27. 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.
  28. 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.
  29. Stable super-resolution of images: A theoretical study. A. Eftekhari, T. Bendory, G. Tang. Information and Inference: A Journal of the IMA, '21. arXiv.
  30. Toward a mathematical theory of the crystallographic phase retrieval problem . T. Bendory and D. Edidin. SIAM Journal on Mathematics of Data Science, '20. arXiv.
  31. Multi-target detection with an arbitrary spacing distribution. T. Lan, T. Bendory, N. Boumal, A. Singer. IEEE Transactions on Signal Processing, '20. arXiv, code.
  32. Unsupervised particle sorting for high-resolution single-particle cryo-EM. Y. Zhou, A. Moscovich, T. Bendory, A. Bartesaghi. Inverse Problems, '20. arXiv.
  33. Frequency-resolved optical gating recovery via smoothing gradient. S. Pinilla, T. Bendory, Y. Eldar, H. Arguello. IEEE Transactions on Signal Processing, '19. arXiv, code.
  34. Blind phaseless short-time Fourier transform recovery. T. Bendory, D. Edidin, Y. Eldar. IEEE Transactions on Information Theory, '20. arXiv
  35. 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.
  36. Multi-target detection with application to cryo-electron microscopy. T. Bendory, N. Boumal, W. Leeb, E. Levin, A. Singer. Inverse Problems, '19. arXiv, code.
  37. 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.
  38. On signal reconstruction from FROG measurements. T. Bendory, D. Edidin, Y. Eldar. Applied and Computational Harmonics Analysis (ACHA), '20. arXiv.
  39. Benchmark problems for phase retrieval. V. Elser, T. Lan, T. Bendory. SIAM Journal on Imaging Sciences, '18. arXiv, code.
  40. 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.
  41. Non-convex phase retrieval from STFT measurements. T. Bendory, Y. Eldar, N. Boumal. IEEE Transactions on Information Theory, '18. arXiv.
  42. On the uniqueness of FROG methods. T. Bendory, P. Sidorenko, Y. Eldar. IEEE Signal Processing Letters, '17. arXiv.
  43. Robust recovery of positive stream of pulses. T. Bendory. IEEE Transactions on Signal Processing, '17. arXiv.
  44. 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.
  45. Robust recovery of stream of pulses using convex optimization. T. Bendory, S. Dekel, A. Feuer. Journal of mathematical analysis and applications, '16. arXiv.
  46. Sparse sampling in helical cone-beam CT perfect reconstruction algorithms. T. Bendory, A. Feuer. Journal of X-ray science and technology, '16. arXiv.
  47. Recovery of sparse positive signals on the sphere from low resolution measurements. T. Bendory, Y. Eldar. IEEE Signal Processing Letters, '15. arXiv.
  48. Super-resolution on the sphere using convex optimization. ​T. Bendory, S. Dekel, A. Feuer. IEEE Transactions on Signal Processing, '15. arXiv.
  49. Exact recovery of Dirac ensembles from the projection onto spaces of spherical harmonics. ​T. Bendory, S. Dekel, A. Feuer. Constructive Approximation, '15. arXiv.
  50. 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.

Conference Papers


  1. Provable algorithms for multi-reference alignment over SO(2). G. Drozatz, T. Bendory, and N. Sharon. code. To appear in EUSIPCO '25.
  2. A note on the sample complexity of multi-target detection. A. Balanov, S. Kreymer, and T. Bendory. To appear in SampTA '25.
  3. The generalized phase retrieval problem over compact groups. T. Bendory and D. Edidin. To appear in SampTA '25.
  4. Score-based diffusion priors for multi-target detection . A. Zabatani, S. Kreymer and T. Bendory. CISS, '24. arXiv. code
  5. Statistical and Computational Limits of Detecting and Recovering Hidden Submatrices. M. Dadon, W. Huleihel, and T. Bendory. ICASSP, '24.
  6. Unsupervised particle sorting for cryo-EM using probabilistic PCA. G. Weiss-Dicker, A. Eldar, Y. Shkolinsky, and T. Bendory. ISBI, '23. arXiv. code
  7. On the role of channel capacity in learning Gaussian mixture models . E. Romanov, T. Bendory, and O. Ordentlich. COLT, '22. arXiv.
  8. Sparse multi-reference alignment: sample complexity and computational hardness . T. Bendory, O. Mickelin, and A. Singer. ICASSP, '22. arXiv code
  9. Generalized autocorrelation analysis for multi-target detection . Y. Shalit, R. Weber, A. Abas, S. Kreymer, and T. Bendory. ICASSP, '22. arXiv code
  10. Image recovery from rotational and translational invariants. ICASSP, '20. arXiv Online talk.
  11. Heterogeneous multireference alignment: a single pass approach. N. Boumal, T. Bendory, R. Lederman, A. Singer. CISS, '18. arXiv, code.
  12. Recovering signals from their FROG trace. T. Bendory, D. Edidin, Y. Eldar. ICASSP, '18.
  13. 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
  14. Phase retrieval from STFT measurements via non-convex optimization. T. Bendory, Y. Eldar. ICASSP, '17.
  15. Unified convex optimization approach to super-resolution based on localized kernels. T. Bendory, S. Dekel, A. Feuer. SampTA, '15.

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.