Anders C. Hansen

3.4k total citations · 1 hit paper
39 papers, 1.2k citations indexed

About

Anders C. Hansen is a scholar working on Applied Mathematics, Computational Mechanics and Radiology, Nuclear Medicine and Imaging. According to data from OpenAlex, Anders C. Hansen has authored 39 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Applied Mathematics, 16 papers in Computational Mechanics and 15 papers in Radiology, Nuclear Medicine and Imaging. Recurrent topics in Anders C. Hansen's work include Sparse and Compressive Sensing Techniques (15 papers), Mathematical Analysis and Transform Methods (15 papers) and Image and Signal Denoising Methods (12 papers). Anders C. Hansen is often cited by papers focused on Sparse and Compressive Sensing Techniques (15 papers), Mathematical Analysis and Transform Methods (15 papers) and Image and Signal Denoising Methods (12 papers). Anders C. Hansen collaborates with scholars based in United Kingdom, Canada and Norway. Anders C. Hansen's co-authors include Ben Adcock, Clarice Poon, Vegard Antun, Francesco Renna, Bogdan Roman, Matthew J. Colbrook, Milana Gatarić, John Strain, Irene Calvo‐Almazán and Anton Tamtögl and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Scientific Reports.

In The Last Decade

Anders C. Hansen

38 papers receiving 1.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

On instabilities of deep learning in image reconstruction and the potential costs of AI

2020 414 citations Vegard Antun, Francesco Renna et al. Proceedings of the National Academy of Sciences profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Anders C. Hansen United Kingdom	17	481	405	268	266	211	39	1.2k
Ben Adcock Canada	18	496 1.0×	562 1.4×	323 1.2×	305 1.1×	295 1.4×	72	1.4k
Gerlind Plonka Germany	23	130 0.3×	559 1.4×	1.1k 4.0×	162 0.6×	288 1.4×	95	1.8k
Yifei Lou United States	25	520 1.1×	1.0k 2.5×	994 3.7×	587 2.2×	60 0.3×	80	2.2k
Christian Clason Austria	19	241 0.5×	406 1.0×	114 0.4×	167 0.6×	116 0.5×	52	974
Clarice Poon United Kingdom	10	380 0.8×	273 0.7×	159 0.6×	224 0.8×	63 0.3×	20	717
Stefan Kunis Germany	15	135 0.3×	281 0.7×	203 0.8×	117 0.4×	145 0.7×	40	843
Raj Rao Nadakuditi United States	16	130 0.3×	292 0.7×	174 0.6×	151 0.6×	45 0.2×	64	1.5k
Laure Blanc‐Féraud France	17	158 0.3×	426 1.1×	774 2.9×	321 1.2×	36 0.2×	65	1.4k
Luca Zanni Italy	18	174 0.4×	615 1.5×	469 1.8×	220 0.8×	29 0.1×	56	1.3k
Bradley J. Lucier United States	18	123 0.3×	597 1.5×	1.1k 4.1×	169 0.6×	300 1.4×	44	1.9k

Countries citing papers authored by Anders C. Hansen

Since Specialization

Citations

This map shows the geographic impact of Anders C. Hansen's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Anders C. Hansen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anders C. Hansen more than expected).

Fields of papers citing papers by Anders C. Hansen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anders C. Hansen. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Anders C. Hansen. The network helps show where Anders C. Hansen may publish in the future.

Co-authorship network of co-authors of Anders C. Hansen

This figure shows the co-authorship network connecting the top 25 collaborators of Anders C. Hansen. A scholar is included among the top collaborators of Anders C. Hansen based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Anders C. Hansen. Anders C. Hansen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Antun, Vegard, et al.. (2025). The Troublesome Kernel: On Hallucinations, No Free Lunches, and the Accuracy-Stability Tradeoff in Inverse Problems. SIAM Review. 67(1). 73–104. 3 indexed citations

Colbrook, Matthew J. & Anders C. Hansen. (2022). The foundations of spectral computations via the Solvability Complexity Index hierarchy. Journal of the European Mathematical Society. 25(12). 4639–4718. 10 indexed citations

Antun, Vegard, Francesco Renna, Clarice Poon, Ben Adcock, & Anders C. Hansen. (2020). On instabilities of deep learning in image reconstruction and the potential costs of AI. Proceedings of the National Academy of Sciences. 117(48). 30088–30095. 414 indexed citations breakdown →

Colbrook, Matthew J., Bogdan Roman, & Anders C. Hansen. (2019). How to Compute Spectra with Error Control. Physical Review Letters. 122(25). 250201–250201. 37 indexed citations

Strijkers, Gustav J., et al.. (2019). Compressed sensing MRI with variable density averaging (CS-VDA) outperforms full sampling at low SNR. Physics in Medicine and Biology. 65(4). 45004–45004. 5 indexed citations

Colbrook, Matthew J. & Anders C. Hansen. (2018). On the infinite-dimensional QR algorithm. Apollo (University of Cambridge). 4 indexed citations

Hansen, Anders C., et al.. (2017). On the Absence of Uniform Recovery in Many Real-World Applications of Compressed Sensing and the Restricted Isometry Property and Nullspace Property in Levels. SIAM Journal on Imaging Sciences. 10(1). 335–371. 12 indexed citations

Tamtögl, Anton, et al.. (2016). Continuous Compressed Sensing for Surface Dynamical Processes with Helium Atom Scattering. Scientific Reports. 6(1). 27776–27776. 21 indexed citations

Adcock, Ben, Anders C. Hansen, & Bogdan Roman. (2016). A Note on Compressed Sensing of Structured Sparse Wavelet Coefficients From Subsampled Fourier Measurements. IEEE Signal Processing Letters. 23(5). 732–736. 16 indexed citations

10.

Adcock, Ben, Milana Gatarić, & Anders C. Hansen. (2015). Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples. Applied and Computational Harmonic Analysis. 42(3). 508–535. 9 indexed citations

11.

Hansen, Anders C., et al.. (2015). New barriers in complexity theory: On the solvability complexity index and the towers of algorithms. Comptes Rendus Mathématique. 353(10). 931–936. 13 indexed citations

12.

Adcock, Ben, Anders C. Hansen, Gitta Kutyniok, & Jackie Ma. (2015). Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements. SIAM Journal on Mathematical Analysis. 47(2). 1196–1233. 12 indexed citations

13.

Adcock, Ben, Milana Gatarić, & Anders C. Hansen. (2014). On Stable Reconstructions from Nonuniform Fourier Measurements. SIAM Journal on Imaging Sciences. 7(3). 1690–1723. 18 indexed citations

14.

Adcock, Ben, Anders C. Hansen, Clarice Poon, & Bogdan Roman. (2013). Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing. arXiv (Cornell University). 25 indexed citations

15.

Adcock, Ben, Anders C. Hansen, & Clarice Poon. (2013). On optimal wavelet reconstructions from Fourier samples: Linearity and universality of the stable sampling rate. Applied and Computational Harmonic Analysis. 36(3). 387–415. 23 indexed citations

16.

Adcock, Ben, Anders C. Hansen, & Clarice Poon. (2013). Optimal Wavelet Reconstructions From Fourier Samples Via Generalized Sampling. INFM-OAR (INFN Catania). 41–44. 1 indexed citations

17.

Adcock, Ben & Anders C. Hansen. (2012). A Generalized Sampling Theorem for Stable Reconstructions in Arbitrary Bases. Journal of Fourier Analysis and Applications. 18(4). 685–716. 42 indexed citations

18.

Adcock, Ben & Anders C. Hansen. (2011). Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon. Applied and Computational Harmonic Analysis. 32(3). 357–388. 44 indexed citations

19.

Hansen, Anders C.. (2010). On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators. Journal of the American Mathematical Society. 24(1). 81–124. 47 indexed citations

20.

Hansen, Anders C.. (2008). On the approximation of spectra of linear operators on Hilbert spaces. Journal of Functional Analysis. 254(8). 2092–2126. 43 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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