Publications

My Google Scholar profile can be found here.

Preprints

A. Jones, B. Adcock and A. C. Hansen
Analyzing the structure of multidimensional compressed sensing problems through coherence.
Preprint: arXiv:1610.07497

B. Roman, A. Bastounis, B. Adcock and A. C. Hansen
On fundamentals of models and sampling in compressed sensing.

Submitted Papers

B. Adcock, A. Bao and S. Brugiapaglia
Correcting for unknown errors in sparse high-dimensional function approximation.
Preprint: arXiv:1711.07622

B. Adcock, A. Gelb, G. Song and Y. Sui
Joint sparse recovery based on variances.

B. Adcock, A. Bao, U. Author and A. Narayan
Compressed sensing with sparse corruptions: Fault-tolerant sparse collocation approximations.
Preprint: arXiv:1703.00135

B. Adcock and D. Huybrechs
Frames and numerical approximation.
Preprint: arXiv:1612.04464
Supplementary materials: framespart1SMarxiv

B. Adcock, R. Platte and A. Shadrin
Optimal sampling rates for approximating analytic functions from pointwise samples.
Preprint: arXiv:1610.04769

B. Adcock, R. Archibald, A. Gelb, R. B. Platte, G. Song and E. G. Walsh
Parameter assessment from time-dependent MR signals using sequential imaging.

I. Y. Chun and B. Adcock
Uniform recovery from subgaussian multi-sensor measurements.
Preprint: arXiv:1610.05758

B. Roman, B. Adcock and A. C. Hansen
On asymptotic structure in compressed sensing.
Preprint: arXiv:1406.4178

Journal Papers

2017

S. Brugiapaglia and B. Adcock
Robustness to unknown error in sparse regularization.
IEEE Trans. Inform. Theory (to appear)
Preprint: arXiv:1705.10299

C. Li and B. Adcock
Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class.
Appl. Comput. Harmon. Anal. (to appear)
Preprint: arXiv:1601.01988

B. Adcock, M. Gataric and J. L. Romero
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates.
Appl. Comput. Harmon. Anal. (to appear)
Preprint: arXiv:1606.07698

B. Adcock
Infinite-dimensional compressed sensing and function interpolation.
Found. Comput. Math. (to appear)
Preprint: arXiv:1509.06073

B. Adcock, M. Gataric and A. C. Hansen
Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements.
J. Fourier Anal. Appl. 23(6):1311-1347
Preprint: arXiv:1411.0300

I. Y. Chun and B. Adcock
Compressed sensing and parallel acquisition.
IEEE Trans. Inform. Theory 63(8):4860-4882
Preprint: arXiv:1601.06214

B. Adcock
Infinite-dimensional l1 minimization and function approximation from pointwise data.
Constr. Approx. 45(3):345-390
Preprint: arXiv:1503.02352

B. Adcock, M. Gataric and A. C. Hansen
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples.
Appl. Comput. Harmon. Anal. 42(3):508-535
Preprint: arXiv:1405.3111

B. Adcock, A. C. Hansen, C. Poon and B. Roman
Breaking the coherence barrier: a new theory for compressed sensing.
Forum Math. Sigma 5
Preprint: arXiv:1302.0561

B. Adcock, J. Martin-Vaquero and M. Richardson
Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities.
SIAM J. Sci. Comput. 31(1):A164-A187
Preprint: arXiv:1510.07027

2016

B. Adcock and A. C. Hansen
Generalized sampling and infinite-dimensional compressed sensing.
Found. Comput. Math. 16(5):1263-1323
Preprint: DAMTP Tech. Rep. 2011/NA12

B. Adcock, A. C. Hansen and B. Roman
A note on compressed sensing of structured sparse wavelet coefficients from subsampled Fourier measurements.
IEEE Signal Process. Lett. 23(5):732-736
Preprint: arXiv:1403.6541

B. Adcock and R. Platte
A mapped polynomial method for high-accuracy approximations on arbitrary grids.
SIAM J. Numer. Anal. 54(4):2256-2281
Preprint: PDF

A. Jones, B. Adcock and A. C. Hansen
On asymptotic incoherence and its implications for compressed sensing of inverse problems.
IEEE Trans. Inform. Theory 62(2):1020-1037
Preprint: arXiv:1402.5324

I. Y. Chun, B. Adcock and T. Talavage
Efficient compressed sensing SENSE pMRI reconstruction with joint sparsity promotion.
IEEE Trans. Med. Imag. 31(1): 354-368

2015

B. Adcock, A. C. Hansen, G. Kutyniok and J. Ma
Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements.
SIAM J. Math. Anal. 47(2):1196-1233
Preprint: arXiv:1403.0172

B. Adcock and A. C. Hansen
Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients.
Math. Comp. 84:237-270
Preprint:DAMTP Tech. Rep. 2011/NA02

2014

B. Adcock, M. Gataric and A. C. Hansen
On stable reconstructions from nonuniform Fourier measurements.
SIAM J. Imaging Sci. 7(3):1690-1723
Preprint: arXiv:1310.7820

B. Adcock and M. Richardson
New exponential variable transform methods for functions with endpoint singularities.
SIAM J. Numer. Anal. 52(4):1887-1912
Preprint: arXiv:1305.2643

B. Adcock, D. Huybrechs and J. Martin-Vaquero
On the numerical stability of Fourier extensions.
Found. Comput. Math. 14(4):635-687
Preprint: arXiv:1206.4111

B. Adcock and J. Ruan
Parameter selection and numerical approximation properties of Fourier extensions from fixed data.
J. Comput. Phys. 273:453-471
Preprint: arXiv:1405.4320

B. Adcock, A. C. Hansen and C. Poon
On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate.
Appl. Comput. Harmon. Anal. 36(3):387-415
Preprint: arXiv:1208.5959

B. Adcock, A. C. Hansen, B. Roman and G. Teschke
Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum.
Adv. Imag. Elect. Phys. 182:187-279
Preprint: arXiv:1310.1141

B. Adcock, A. C. Hansen and A. Shadrin
A stability barrier for reconstructions from Fourier samples.
SIAM J. Numer. Anal. 52(1):125-139
Preprint: arXiv:1210.7831

B. Adcock and D. Huybrechs
On the resolution power of Fourier extensions for oscillatory functions.
J. Comput. Appl. Math. 260:312-336
Preprint: arXiv:1210.7831

2013

B. Adcock, A. C. Hansen and C. Poon
Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem.
SIAM J. Math. Anal. 45(5):3132-3167
Preprint: arXiv:1301.2831

B. Adcock, A. C. Hansen, E. Herrholz and G. Teschke
Generalized sampling: extensions to frames and inverse and ill-posed problems.
Inverse Problems 29: 015008
Preprint: PDF

2012

B. Adcock and A. C. Hansen
Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon.
Appl. Comput. Harmon. Anal. 32(3): 357-388
Preprint: arXiv:1011.6625

B. Adcock and A. C. Hansen
A generalized sampling theorem for stable reconstructions in arbitrary bases.
J. Fourier Anal. Appl. 18(4):685-716
Preprint: arXiv:1007.1852

B. Adcock, A. Iserles and S. P. Nørsett
From high oscillation to rapid approximation II: Expansions in Birkhoff series.
IMA J. Numer. Anal. 32(1): 105-140
Preprint:DAMTP Tech. Rep. 2010/NA02

2011

B. Adcock
On the convergence of expansions in polyharmonic eigenfunctions.
J. Approx. Theory 163(11): 1638-1674
Preprint: DAMTP Tech. Rep. 2010/NA06

B. Adcock
Gibbs phenomenon and its removal for a class of orthogonal expansions.
BIT 51(1): 7-41
Preprint: PDF

B. Adcock
Convergence acceleration of modified Fourier series in one or more dimensions.
Math. Comp. 80(273): 225-261
Preprint: DAMTP Tech. Rep. 2008/NA11

2010

B. Adcock
Multivariate modified Fourier series and application to boundary value problems.
Numer. Math. 115(4): 511-552
Preprint: DAMTP Tech. Rep. 2008/NA08

2009

B. Adcock
Univariate modified Fourier methods for second order boundary value problems.
BIT 49(2): 249-280
Preprint: DAMTP Tech. Rep. 2007/NA08

Book Chapters

B. Adcock, S. Brugiapaglia and C. Webster
Compressed sensing approaches for polynomial approximation of high-dimensional functions.
Compressed Sensing and its Applications, Birkhauser, 2017 (to appear).
Preprint: arXiv:1703.06987

B. Adcock, A. C. Hansen, and B. Roman
The quest for optimal sampling: computationally efficient, structure-exploiting measurements for compressed sensing.
Compressed Sensing and its Applications, Birkhauser, 2015.
Preprint: arXiv:1403.6540

Proceedings

S. Brugiapaglia, B. Adcock and R. K. Archibald
Recovery guarantees for compressed sensing with unknown errors.
Proceedings of the 12th International Conference on Sampling Theory and Applications, Tallinn, Estonia, July 2017 (to appear).
Preprint: arXiv:1702.04424

I. Y. Chun, C. Li & B. Adcock
Sparsity and parallel acquisition: optimal uniform and nonuniform recovery guarantees.
Proceedings of the 2016 IEEE International Conference on Multimedia and Expo, Seattle, USA, July 2016 (to appear).
Preprint: arXiv:1603.08050

I. Y. Chun & B. Adcock
Optimal sparse recovery for multi-sensor measurements.
Proceedings of the 2016 IEEE Information Theory Workshop, Cambridge, UK, September 2016 (to appear).
Preprint: arXiv:1603.06934

B. Adcock, A. C. Hansen & B. Roman
Compressed sensing with local structure: theory, applications and benefits.
Proceedings of the 11th International Conference on Sampling Theory and Applications, Washington DC, USA, May 2015.

B. Adcock, M. Gataric & A. C. Hansen
Stable nonuniform sampling with weighted Fourier frames and recovery in arbitrary spaces.
Proceedings of the 11th International Conference on Sampling Theory and Applications, Washington DC, USA, May 2015.

B. Adcock, M. Gataric and A. C. Hansen
Recovering piecewise smooth functions from nonuniform Fourier measurements.
Proceedings of the 10th International Conference on Spectral and High Order Methods, Salt Lake City, USA, June 2014 (to appear).
Preprint: arXiv:1410.0088

I. Y. Chun, B. Adcock and T. Talavage
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, Chicago, USA, August 2014

I. Y. Chun, B. Adcock and T. Talavage
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, Chicago, USA, August 2014

B. Adcock, A. C. Hansen, C. Poon and B. Roman
Overcoming the coherence barrier in compressed sensing.
Proceedings of the 10th International Conference on Sampling Theory and Applications, Bremen, Germany, July 2013.
Preprint: PDF

B. Adcock, A. C. Hansen and C. Poon
Optimal wavelet reconstructions from Fourier samples via generalized sampling.
Proceedings of the 10th International Conference on Sampling Theory and Applications, Bremen, Germany, July 2013.
Preprint: PDF

B. Adcock and D. Huybrechs
Accuracy of the Fourier extension method for oscillatory phenomena.
Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves, Vancouver, Canada, July 2011.
Preprint: PDF

B. Adcock and A. C. Hansen
Reduced consistency sampling in Hilbert spaces.
Proceedings of the 9th International Conference on Sampling Theory and Applications, Singapore, May 2011.
Preprint: PDF

B. Adcock and D. Huybrechs
Multivariate modified Fourier expansions.
Proceedings of the 8th International Conference on Spectral and High Order Methods (E. Rønquist et al, ed.), Trondheim, Norway, June 2009.
Preprint: PDF

Essays

B. Adcock
Modified Fourier expansions: theory, construction and applications.
PhD thesis. PDF

B. Adcock
Birkhoff-Galerkin methods for linear boundary value problems.
Smith-Knight/Rayleigh-Knight Prize.