JK
Joe Kileel
cs.NAmath.NAmath.AGcs.LGcs.CVmath.OCstat.MLmath.STstat.THmath.AC
On Valency
published · living versionsW_d9p9x3pm·v1 · currentpublished
Singular value decompositions over -algebras with applications to tensor decompositions
with Paulina Hoyos
1 version
Preprints & journals
47 papers in the corpus · 2015–2026Two datasets are better than one: method of double moments for 3D reconstruction in cryo-EM.42518734 · Kileel, Joe, Mickelin, Oscar, Singer, Amit et al.2026 · 0 citationsInverse problems. 2026;42(7):075016
Group Invariant Spectral Embedding2607.08987v2 · Yeari Vigder, Paulina Hoyos, David Thong et al.2026 · 0 citationsarXiv
Testing the mixture model hypothesis via spectral gap2603.03245v2 · March T. Boedihardjo, Joe Kileel, Vandy Tombs2026 · 0 citationsarXiv
Condition Numbers in Multiview Geometry, Instability in Relative Pose Estimation, and RANSAC.41196798 · Fan, Hongyi, Kileel, Joe, Kimia, Benjamin2025 · 2 citationsIEEE transactions on pattern analysis and machine intelligence. 2025;PP
QuadSync: Quadrifocal Tensor Synchronization via Tucker Decomposition2602.22639v2 · Daniel Miao, Gilad Lerman, Joe Kileel2026 · 0 citationsarXiv
First Proof2602.05192v2 · Mohammed Abouzaid, Andrew J. Blumberg, Martin Hairer et al.2026 · 0 citationsarXiv
Multi-context principal component analysis2601.15239v1 · Kexin Wang, Salil Bhate, Joao M. Pereira et al.2026 · 0 citationsarXiv
Multi-subspace power method for decomposing partially symmetric tensors2510.18627v2 · Kexin Wang, Joao M. Pereira, Joe Kileel et al.2025 · 0 citationsarXiv
SO(3)-invariant PCA with application to molecular data2510.18827v1 · Michael Fraiman, Paulina Hoyos, Tamir Bendory et al.2025 · 0 citationsarXiv
Efficient Tensor Decomposition via Moment Matrix Extension2506.22564v1 · Bobby Shi, Julia Lindberg, Joe Kileel2025 · 0 citationsarXiv
Norming Sets for Tensor and Polynomial Sketching2506.05174v1 · Yifan Zhang, Joe Kileel2025 · 0 citationsarXiv
Higher-Order Group Synchronization2505.21932v2 · Adriana L. Duncan, Joe Kileel2025 · 0 citationsarXiv
The Fascinating World of 2 2 2 Tensors: Its Geometry and Optimization Challenges2504.03937v1 · Gabriel H. Brown, Joe Kileel, Tamara G. Kolda2025 · 0 citationsarXiv
Geometry and Optimization of Shallow Polynomial Networks2501.06074v2 · Yossi Arjevani, Joan Bruna, Joe Kileel et al.2025 · 0 citationsarXiv
FAST EXPANSION INTO HARMONICS ON THE BALL.41815738 · Kileel, Joe, Marshall, Nicholas F, Mickelin, Oscar et al.2026 · 2 citationsSIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics. 2025;47(2):A1117-A1144
Tensor-Based Synchronization and the Low-Rankness of the Block Trifocal Tensor2409.09313v2 · Daniel Miao, Gilad Lerman, Joe Kileel2024 · 0 citationsarXiv
Algebraic constraints and algorithms for common lines in cryo-EM.39314828 · Muller, Tommi, Duncan, Adriana L, Verbeke, Eric J et al.2026 · 0 citationsBiological imaging. 2024;4:e9
Moment-based metrics for molecules computable from cryogenic electron microscopy images.38516630 · Zhang, Andy, Mickelin, Oscar, Kileel, Joe et al.2026 · 1 citationBiological imaging. 2024;4:e3
The G -invariant graph Laplacian Part I: Convergence rate and eigendecomposition.40534621 · Rosen, Eitan, Hoyos, Paulina, Cheng, Xiuyuan et al.2025 · 1 citationApplied and computational harmonic analysis. 2024;71
Moment-based metrics for molecules computable from cryo-EM images2401.15183v1 · Andy Zhang, Oscar Mickelin, Joe Kileel et al.2024 · 0 citationsarXiv
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications2311.05116v4 · Yifan Zhang, Joe Kileel2023 · 0 citationsarXiv
Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms.37094135 · Bendory, Tamir, Khoo, Yuehaw, Kileel, Joe et al.2023 · 14 citationsProceedings of the National Academy of Sciences of the United States of America. 2023;120(18):e2216507120
The G-invariant graph Laplacian2303.17001v4 · Eitan Rosen, Paulina Hoyos, Xiuyuan Cheng et al.2023 · 0 citationsarXiv
Diffusion Maps for Group-Invariant Manifolds2303.16169v2 · Paulina Hoyos, Joe Kileel2023 · 1 citationarXiv
Moment Varieties for Mixtures of Products2301.09068v2 · Yulia Alexandr, Joe Kileel, Bernd Sturmfels2023 · 3 citationsarXiv
Moment Estimation for Nonparametric Mixture Models Through Implicit Tensor Decomposition2210.14386v3 · Yifan Zhang, Joe Kileel2022 · 2 citationsarXiv
Snapshot of Algebraic Vision2210.11443v2 · Joe Kileel, Kathl'en Kohn2022 · 2 citationsarXiv
The effect of smooth parametrizations on nonconvex optimization landscapes2207.03512v5 · Eitan Levin, Joe Kileel, Nicolas Boumal2022 · 17 citationsMath. Program. (2024)
Scalable symmetric Tucker tensor decomposition2204.10824v2 · Ruhui Jin, Joe Kileel, Tamara G. Kolda et al.2022 · 5 citationsarXiv
Tensor Moments of Gaussian Mixture Models: Theory and Applications2202.06930v2 · Joao M. Pereira, Joe Kileel, Tamara G. Kolda2022 · 4 citationsarXiv
On the Instability of Relative Pose Estimation and RANSAC's Role2112.14651v1 · Hongyi Fan, Joe Kileel, Benjamin Kimia2021 · 10 citationsarXiv
Landscape analysis of an improved power method for tensor decomposition2110.15821v1 · Joe Kileel, Timo Klock, Joao M. Pereira2021 · 2 citationsarXiv
Finding stationary points on bounded-rank matrices: A geometric hurdle and a smooth remedy2107.03877v3 · Eitan Levin, Joe Kileel, Nicolas Boumal2021 · 22 citationsarXiv
Symmetry Breaking in Symmetric Tensor Decomposition2103.06234v2 · Yossi Arjevani, Joan Bruna, Michael Field et al.2021 · 3 citationsarXiv
Manifold learning with arbitrary norms2012.14172v2 · Joe Kileel, Amit Moscovich, Nathan Zelesko et al.2020 · 23 citationsJournal of Fourier Analysis and Applications 27, 82 (2021)
EARTHMOVER-BASED MANIFOLD LEARNING FOR ANALYZING MOLECULAR CONFORMATION SPACES.36570366 · Zelesko, Nathan, Moscovich, Amit, Kileel, Joe et al.2022 · 14 citationsProceedings. IEEE International Symposium on Biomedical Imaging. 2020;2020:1715-1719
Subspace power method for symmetric tensor decomposition1912.04007v5 · Joe Kileel, Joao M. Pereira2019 · 14 citationsarXiv
On the Expressive Power of Deep Polynomial Neural Networks1905.12207v1 · Joe Kileel, Matthew Trager, Joan Bruna2019 · 42 citationsarXiv
Estimation under group actions: recovering orbits from invariants1712.10163v4 · Afonso S. Bandeira, Ben Blum-Smith, Joe Kileel et al.2017 · 64 citationsApplied and Computational Harmonic Analysis 66 (2023) 236--319
3D ab initio modeling in cryo-EM by autocorrelation analysis1710.08076v2 · Eitan Levin, Tamir Bendory, Nicolas Boumal et al.2017 · 36 citationsarXiv
A clever elimination strategy for efficient minimal solvers1703.05289v1 · Zuzana Kukelova, Joe Kileel, Bernd Sturmfels et al.2017 · 48 citationsIEEE Conference on Computer Vision and Pattern Recognition 2017 (CVPR 2017)
Minimal Problems for the Calibrated Trifocal Variety1611.05947v1 · Joe Kileel2016 · 31 citationsarXiv
Numerical Implicitization1610.03034v2 · Justin Chen, Joe Kileel2016 · 13 citationsJ. Softw. Alg. Geom. 9 (2019) 55-63
Distortion Varieties1610.01860v1 · Joe Kileel, Zuzana Kukelova, Tomas Pajdla et al.2016 · 13 citationsarXiv
The Chow Form of the Essential Variety in Computer Vision1604.04372v2 · Gunnar Fl\oystad, Joe Kileel, Giorgio Ottaviani2016 · 21 citationsarXiv
Rigid Multiview Varieties1509.03257v2 · Michael Joswig, Joe Kileel, Bernd Sturmfels et al.2015 · 11 citationsInt. J. Algebra Comput. 26 (2016) 775-788
Hadamard Products of Linear Spaces1504.04301v2 · Cristiano Bocci, Enrico Carlini, Joe Kileel2015 · 48 citationsJ. Algebra 448 (2016) 595-617
Career total: 52 works. 47 are in this corpus.
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