Publications

• M. Gavish, W. Leeb. and E. Romanov "Matrix Denoising with Partial Noise Statistics: Optimal Singular Value Shrinkage of Spiked F-Matrices". Accepted to Information and Inference: A Journal of the IMA (2023). Online PDF

• T. Bendory, N. Boumal, W. Leeb, E. Levin and A. Singer. "Toward single-particle reconstruction without particle picking: Breaking the detection limit". SIAM Journal on Imaging Sciences 16(2), 886-910 (2023). Online PDF

• W. Leeb. "Optimal singular value shrinkage for operator norm loss: Extending to non-square matrices". Statistics & Probability Letters 186, 109472 (2022). Online PDF

• T. Bendory, D. Edidin, W. Leeb. and N. Sharon "Dihedral multi-reference alignment". IEEE Transactions on Information Theory 68(5) 3489-3499 (2022). Online PDF

• W. Leeb. "Rapid evaluation of the spectral signal detection threshold and Stieltjes transform". Advances in Computational Mathematics 47(4), 1-29 (2021). Online PDF

• W. Leeb. "Matrix denoising for weighted loss functions and heterogeneous signals". SIAM Journal on Mathematics of Data Science 3(3), 987-1012 (2021). Online PDF

• W. Leeb. "A note on identifiability conditions in confirmatory factor analysis". Statistics & Probability Letters 178, 10919 (2021). Online PDF

• T. Bendory, A. Jaffe, W. Leeb, N. Sharon and A. Singer. "Super-resolution multi-reference alignment". Information and Inference: A Journal of the IMA 11(2), 533-555 (2022). Online PDF

• W. Leeb and E. Romanov. "Optimal spectral shrinkage and PCA with heteroscedastic noise". IEEE Transactions on Information Theory 67(5), 3009-3037 (2021). Online PDF

• E. Dobriban, W. Leeb, and A. Singer. "Optimal prediction in the linearly transformed spiked model". Annals of Statistics 48(1), 491-513 (2020). Online PDF

• W. Leeb and V. Rokhlin. "On the Numerical Solution of Fourth-order Linear Two-point Boundary Value Problems". Accepted to SIAM Journal on Scientific Computation 42(3), A1789-A1808 (2020). Online PDF

• E. Abbé, T. Bendory, W. Leeb, J. Perreira, N. Sharon, and A. Singer. "Multireference Alignment is Easier with an Aperiodic Translation Distribution". IEEE Transactions on Information Theory 65(6) 3565-3584 (2019). Online PDF

• T. Bendory, N. Boumal, W. Leeb, E. Levin and A. Singer. "Multi-target detection with application to cryo-electron microscopy". Inverse Problems 35(10), 104003 (2019). Online PDF

• J. Ankenman and W. Leeb. "Mixed Hölder matrix discovery via wavelet shrinkage and Calderón-Zygmund decompositions". Applied and Computational Harmonic Analysis 45(3), 551-596 (2018). Online PDF
• W. Leeb. "Approximating snowflake metrics by trees". Applied and Computational Harmonic Analysis 45(2), 405-424 (2018). Online PDF
• W. Leeb. "The mixed Lipschitz space and its dual for tree metrics". Applied and Computational Harmonic Analysis 44(3), 584-610 (2018). Online PDF
• W. Leeb and R. Coifman. "Hölder-Lipschitz norms and their duals on spaces with semigroups, with applications to Earth Mover's Distance". Journal of Fourier Analysis and Applications 22(4), 910-953 (2016). Online PDF

Pre-prints / Technical reports

• W. Leeb. "On metrics robust to noise, perturbations, and changes in projection angle". arXiv:2101.10867 (2023). Online PDF

• W. Leeb. "Properties of Laplacian Pyramids for Extension and Denoising". arXiv:1909.07974 (2019). Online PDF

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