My Google Scholar profile can be found here.

**Preprints**

B. Adcock and D. Huybrechs

*Frames and numerical approximation II: generalized sampling.
*Preprint: arXiv:1802.01950

A. Jones, B. Adcock and A. C. Hansen

*Analyzing the structure of multidimensional compressed sensing problems through coherence.
*Preprint: arXiv:1610.07497

**Submitted Papers**

B. Adcock and D. Huybrechs

*Approximating smooth, multivariate functions on irregular domains.
*Preprint: arXiv:1802.00602

B. Adcock, C. Boyer & S. Brugiapaglia

*On oracle-type local recovery guarantees in compressed sensing.
*Preprint: arXiv:1806.03789

B. Adcock and Y. Sui

*Compressive Hermite interpolation: sparse, high-dimensional approximation from gradient-augmented measurements.*

Preprint: arXiv:1712.06645

B. Adcock, A. Bao and S. Brugiapaglia

*Correcting for unknown errors in sparse high-dimensional function approximation.
*Preprint: arXiv:1711.07622

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.*

B. Roman, A. Bastounis, B. Adcock and A. C. Hansen

*On fundamentals of models and sampling in compressed sensing.*

B. Roman, B. Adcock and A. C. Hansen

*On asymptotic structure in compressed sensing*.

Preprint: arXiv:1406.4178

**Journal Papers**

**2018**

B. Adcock, A. Gelb, G. Song and Y. Sui

*Joint sparse recovery based on variances.*

SIAM J. Sci. Comput. (to appear)

B. Adcock and D. Huybrechs

*Frames and numerical approximation.
*SIAM Rev. (to appear)

*Preprint: arXiv:1612.04464*

Supplementary materials: TW-675

I. Y. Chun and B. Adcock

*Uniform recovery from subgaussian multi-sensor measurements.
*Appl. Comput. Harmon. Anal. (to appear)

*Preprint: arXiv:1610.05758*

B. Adcock, A. Bao, U. Author and A. Narayan

*Compressed sensing with sparse corruptions: Fault-tolerant sparse collocation approximations.
*SIAM/ASA J. Uncertain. Quantif. (to appear)

Preprint: arXiv:1703.00135

B. Adcock, R. Platte and A. Shadrin

*Optimal sampling rates for approximating analytic functions from pointwise samples.
*IMA J. Numer. Anal. (to appear)

*Preprint: arXiv:1610.04769*

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. 18(3):661-701

Preprint: arXiv:1509.06073

**2017**

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.

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

News Articles

B. Adcock, A. Bastounis and A. C. Hansen, *From Global to Local: Getting More from Compressed Sensing*, SIAM News, October 2017.

**Proceedings**

B. Adcock and S. Brugiapaglia

*Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit.*

Proceedings of the 12th International Conference on Spectral and High Order Methods, Imperial College, London, UK, July 2018 (submitted).

Preprint: arXiv:1810.11115

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.

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 201.

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.