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Extension of PCA to Higher Order Data Structures: An Introduction to Tensors, Tensor Decompositions, and Tensor PCA

Proceedings of the IEEE, 2018-08, Vol.106 (8), p.1341-1358

2018

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Improved approximation guarantees for sublinear-time Fourier algorithms

Applied and computational harmonic analysis, 2013-01, Vol.34 (1), p.57-82

Iwen, Mark A.

2013

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On Fast Johnson–Lindenstrauss Embeddings of Compact Submanifolds of RN with Boundary

Discrete & computational geometry, 2024-03, Vol.71 (2), p.498-555

2024

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A deterministic sparse FFT for functions with structured Fourier sparsity

Advances in computational mathematics, 2019-04, Vol.45 (2), p.519-561

2019

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A New Class of Fully Discrete Sparse Fourier Transforms: Faster Stable Implementations with Guarantees

The Journal of fourier analysis and applications, 2019-06, Vol.25 (3), p.751-784

2019

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Sparse Harmonic Transforms: A New Class of Sublinear-Time Algorithms for Learning Functions of Many Variables

Foundations of computational mathematics, 2021-04, Vol.21 (2), p.275-329

2021

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A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size

Advances in computational mathematics, 2021-12, Vol.47 (6), Article 86

2021

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On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds

Discrete & computational geometry, 2021-06, Vol.65 (4), p.953-998

2021

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Adaptive Strategies for Target Detection and Localization in Noisy Environments

IEEE transactions on signal processing, 2012-05, Vol.60 (5), p.2344-2353

2012

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Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs

Foundations of computational mathematics, 2024-04

2024

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Robust sparse phase retrieval made easy

Applied and computational harmonic analysis, 2017-01, Vol.42 (1), p.135-142

2017

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A Symbol-Based Algorithm for Decoding Bar Codes

SIAM journal on imaging sciences, 2013-01, Vol.6 (1), p.56-77

2013

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Neural network approximation of continuous functions in high dimensions with applications to inverse problems

Journal of computational and applied mathematics, 2024-03, Vol.438, p.115557, Article 115557

2024

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Lower bounds on the low-distortion embedding dimension of submanifolds of [formula omitted]

Applied and computational harmonic analysis, 2023-07, Vol.65, p.170-180

2023

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Lower bounds on the low-distortion embedding dimension of submanifolds of R n

Applied and computational harmonic analysis, 2023-07, Vol.65, p.170-180

2023

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On Fast Johnson–Lindenstrauss Embeddings of Compact Submanifolds of $$\mathbbm {R}^N$$ with Boundary

Discrete & computational geometry, 2024-03, Vol.71 (2), p.498-555

2024

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Phase retrieval from local measurements: Improved robustness via eigenvector-based angular synchronization

Applied and computational harmonic analysis, 2020-01, Vol.48 (1), p.415-444

2020

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Fast Phase Retrieval from Local Correlation Measurements

SIAM journal on imaging sciences, 2016-01, Vol.9 (4), p.1655-1688

2016

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On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N

Numerische Mathematik, 2024-11

2024

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Lower Lipschitz bounds for phase retrieval from locally supported measurements

Applied and computational harmonic analysis, 2019-09, Vol.47 (2), p.526-538

2019

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Lower Memory Oblivious (Tensor) Subspace Embeddings with Fewer Random Bits: Modewise Methods for Least Squares

SIAM journal on matrix analysis and applications, 2021-01, Vol.42 (1), p.376-416

2021

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Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time

Numerische Mathematik, 2021-06, Vol.148 (2), p.293-362

2021

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Group testing strategies for recovery of sparse signals in noise

2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, 2009, p.1561-1565

Iwen, Mark A

2009

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Toward fast and provably accurate near-field ptychographic phase retrieval

Sampling theory, signal processing, and data analysis, 2023-06, Vol.21 (1), Article 6

2023

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Phase Retrieval for $$L^2([-\pi ,\pi ])$$ via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements

The Journal of fourier analysis and applications, 2023-02, Vol.29 (1), Article 8

2023

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Extension of PCA to Higher Order Data Structures: An Introduction to Tensors, Tensor Decompositions, and Tensor PCA

Improved approximation guarantees for sublinear-time Fourier algorithms

On Fast Johnson–Lindenstrauss Embeddings of Compact Submanifolds of RN with Boundary

A deterministic sparse FFT for functions with structured Fourier sparsity

A New Class of Fully Discrete Sparse Fourier Transforms: Faster Stable Implementations with Guarantees

Sparse Harmonic Transforms: A New Class of Sublinear-Time Algorithms for Learning Functions of Many Variables

A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size

On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds

Adaptive Strategies for Target Detection and Localization in Noisy Environments

Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs

Robust sparse phase retrieval made easy

A Symbol-Based Algorithm for Decoding Bar Codes

Neural network approximation of continuous functions in high dimensions with applications to inverse problems

Lower bounds on the low-distortion embedding dimension of submanifolds of [formula omitted]

Lower bounds on the low-distortion embedding dimension of submanifolds of R n

On Fast Johnson–Lindenstrauss Embeddings of Compact Submanifolds of $$\mathbbm {R}^N$$ with Boundary

Phase retrieval from local measurements: Improved robustness via eigenvector-based angular synchronization

Fast Phase Retrieval from Local Correlation Measurements

On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N

Lower Lipschitz bounds for phase retrieval from locally supported measurements

Lower Memory Oblivious (Tensor) Subspace Embeddings with Fewer Random Bits: Modewise Methods for Least Squares

Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time

Group testing strategies for recovery of sparse signals in noise

Toward fast and provably accurate near-field ptychographic phase retrieval

Phase Retrieval for $$L^2([-\pi ,\pi ])$$ via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements

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