Ben Adcock

According to our database1, Ben Adcock authored at least 69 papers between 2010 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains.
SIAM J. Sci. Comput., February, 2023

A unified framework for learning with nonlinear model classes from arbitrary linear samples.
CoRR, 2023

Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples.
CoRR, 2023

Optimal approximation of infinite-dimensional holomorphic functions.
CoRR, 2023

Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods.
CoRR, 2023

CS4ML: A general framework for active learning with arbitrary data based on Christoffel functions.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2022
Do Log Factors Matter? On Optimal Wavelet Approximation and the Foundations of Compressed Sensing.
Found. Comput. Math., 2022

Near-optimal learning of Banach-valued, high-dimensional functions via deep neural networks.
CoRR, 2022

Stable and accurate least squares radial basis function approximations on bounded domains.
CoRR, 2022

CAS4DL: Christoffel Adaptive Sampling for function approximation via Deep Learning.
CoRR, 2022

Is Monte Carlo a bad sampling strategy for learning smooth functions in high dimensions?
CoRR, 2022

On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples.
CoRR, 2022

Stable, accurate and efficient deep neural networks for inverse problems with analysis-sparse models.
CoRR, 2022

Towards optimal sampling for learning sparse approximation in high dimensions.
CoRR, 2022

2021
The Benefits of Acting Locally: Reconstruction Algorithms for Sparse in Levels Signals With Stable and Robust Recovery Guarantees.
IEEE Trans. Signal Process., 2021

The Gap between Theory and Practice in Function Approximation with Deep Neural Networks.
SIAM J. Math. Data Sci., 2021

Improved Recovery Guarantees and Sampling Strategies for TV Minimization in Compressive Imaging.
SIAM J. Imaging Sci., 2021

Iterative and greedy algorithms for the sparsity in levels model in compressed sensing.
CoRR, 2021

On the possibility of fast stable approximation of analytic functions from equispaced samples via polynomial frames.
CoRR, 2021

Frame approximation with bounded coefficients.
Adv. Comput. Math., 2021

Deep Neural Networks Are Effective At Learning High-Dimensional Hilbert-Valued Functions From Limited Data.
Proceedings of the Mathematical and Scientific Machine Learning, 2021

Learning High-Dimensional Hilbert-Valued Functions With Deep Neural Networks From Limited Data.
Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to, 2021

2020
Near-Optimal Sampling Strategies for Multivariate Function Approximation on General Domains.
SIAM J. Math. Data Sci., 2020

The troublesome kernel: why deep learning for inverse problems is typically unstable.
CoRR, 2020

2019
Convolutional Analysis Operator Learning: Dependence on Training Data.
IEEE Signal Process. Lett., 2019

Joint Sparse Recovery Based on Variances.
SIAM J. Sci. Comput., 2019

Frames and Numerical Approximation.
SIAM Rev., 2019

Correcting for unknown errors in sparse high-dimensional function approximation.
Numerische Mathematik, 2019

Optimal sampling strategies for multivariate function approximation on general domains.
CoRR, 2019

Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling.
CoRR, 2019

On instabilities of deep learning in image reconstruction - Does AI come at a cost?
CoRR, 2019

2018
Robustness to Unknown Error in Sparse Regularization.
IEEE Trans. Inf. Theory, 2018

Compressed Sensing with Sparse Corruptions: Fault-Tolerant Sparse Collocation Approximations.
SIAM/ASA J. Uncertain. Quantification, 2018

Infinite-Dimensional Compressed Sensing and Function Interpolation.
Found. Comput. Math., 2018

Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit.
CoRR, 2018

On oracle-type local recovery guarantees in compressed sensing.
CoRR, 2018

2017
Compressed Sensing and Parallel Acquisition.
IEEE Trans. Inf. Theory, 2017

Resolution-Optimal Exponential and Double-Exponential Transform Methods for Functions with Endpoint Singularities.
SIAM J. Sci. Comput., 2017

2016
Efficient Compressed Sensing SENSE pMRI Reconstruction With Joint Sparsity Promotion.
IEEE Trans. Medical Imaging, 2016

On Asymptotic Incoherence and Its Implications for Compressed Sensing of Inverse Problems.
IEEE Trans. Inf. Theory, 2016

A Note on Compressed Sensing of Structured Sparse Wavelet Coefficients From Subsampled Fourier Measurements.
IEEE Signal Process. Lett., 2016

A Mapped Polynomial Method for High-Accuracy Approximations on Arbitrary Grids.
SIAM J. Numer. Anal., 2016

Generalized Sampling and Infinite-Dimensional Compressed Sensing.
Found. Comput. Math., 2016

Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class.
CoRR, 2016

Analyzing the structure of multidimensional compressed sensing problems through coherence.
CoRR, 2016

Uniform Recovery from Subgaussian Multi-Sensor Measurements.
CoRR, 2016

Optimal sparse recovery for multi-sensor measurements.
Proceedings of the 2016 IEEE Information Theory Workshop, 2016

Sparsity and parallel acquisition: Optimal uniform and nonuniform recovery guarantees.
Proceedings of the 2016 IEEE International Conference on Multimedia & Expo Workshops, 2016

2015
Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements.
SIAM J. Math. Anal., 2015

Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients.
Math. Comput., 2015

2014
New Exponential Variable Transform Methods for Functions with Endpoint Singularities.
SIAM J. Numer. Anal., 2014

A Stability Barrier for Reconstructions from Fourier Samples.
SIAM J. Numer. Anal., 2014

On Stable Reconstructions from Nonuniform Fourier Measurements.
SIAM J. Imaging Sci., 2014

Parameter selection and numerical approximation properties of Fourier extensions from fixed data.
J. Comput. Phys., 2014

On the resolution power of Fourier extensions for oscillatory functions.
J. Comput. Appl. Math., 2014

On the Numerical Stability of Fourier Extensions.
Found. Comput. Math., 2014

On asymptotic structure in compressed sensing.
CoRR, 2014

The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing.
CoRR, 2014

Preserving the Anonymity in MobilityFirst networks.
Proceedings of the 23rd International Conference on Computer Communication and Networks, 2014

Non-convex compressed sensing CT reconstruction based on tensor discrete Fourier slice theorem.
Proceedings of the 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014

Efficient compressed sensing SENSE parallel MRI reconstruction with joint sparsity promotion and mutual incoherence enhancement.
Proceedings of the 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014

2013
Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem.
SIAM J. Math. Anal., 2013

Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing
CoRR, 2013

Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum.
CoRR, 2013

2012
On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate
CoRR, 2012

2011
Convergence acceleration of modified Fourier series in one or more dimensions.
Math. Comput., 2011

On the convergence of expansions in polyharmonic eigenfunctions.
J. Approx. Theory, 2011

2010
Multivariate modified Fourier series and application to boundary value problems.
Numerische Mathematik, 2010

A Generalized Sampling Theorem for Reconstructions in Arbitrary Bases
CoRR, 2010


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