Publications

• M. Gavish, W. Leeb. and E. Romanov "Matrix Denoising with Partial Noise Statistics: Optimal Singular Value Shrinkage of Spiked F-Matrices". Information and Inference: A Journal of the IMA 12, no. 3 (2023): 2020-2065. 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, no. 2 (2023): 886-910. Online PDF

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

• T. Bendory, D. Edidin, W. Leeb. and N. Sharon "Dihedral multi-reference alignment". IEEE Transactions on Information Theory 68, no. 5 (2022): 3489-3499. 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, no. 2 (2022): 533-555. Online PDF

• W. Leeb. "Rapid evaluation of the spectral signal detection threshold and Stieltjes transform". Advances in Computational Mathematics 47, no. 60 (2021). Online PDF

• W. Leeb. "Matrix denoising for weighted loss functions and heterogeneous signals". SIAM Journal on Mathematics of Data Science 3, no. 3 (2021): 987-1012. Online PDF

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

• W. Leeb and E. Romanov. "Optimal spectral shrinkage and PCA with heteroscedastic noise". IEEE Transactions on Information Theory 67, no. 5 (2021): 3009-3037. Online PDF

• E. Dobriban, W. Leeb, and A. Singer. "Optimal prediction in the linearly transformed spiked model". Annals of Statistics 48, no. 1 (2020): 491-513. Online PDF

• W. Leeb and V. Rokhlin. "On the Numerical Solution of Fourth-order Linear Two-point Boundary Value Problems". SIAM Journal on Scientific Computation 42, no. 3, (2020): A1789-A1808. 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, no. 6, (2019): 3565-3584. 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, no. 10 (2019): 104003. Online PDF

• J. Ankenman and W. Leeb. "Mixed Hölder matrix discovery via wavelet shrinkage and Calderón-Zygmund decompositions". Applied and Computational Harmonic Analysis 45, no. 3, (2018): 551-596. Online PDF
• W. Leeb. "Approximating snowflake metrics by trees". Applied and Computational Harmonic Analysis 45, no. 2, (2018): 405-424. Online PDF
• W. Leeb. "The mixed Lipschitz space and its dual for tree metrics". Applied and Computational Harmonic Analysis 44, no. 3, (2018): 584-610. 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, no. 4, (2016): 910-953. Online PDF

Pre-prints / Technical reports

• W. Leeb. "On metrics robust to noise and deformations". arXiv:2101.10867v3 (2024). Online PDF

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

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