Publications and Talks

Preprints: 

• A. Caragea, D. G. Lee: On the principal minors of Fourier matrices, arXiv preprint, https://arxiv.org/abs/2409.09793 

Journal publications and Ph.D. thesis:

• A. Caragea: Balian-Low phenomena, exponential bases and neural network approximation, Ph.D. Thesis (2024), https://doi.org/10.17904/ku.opus-908 

• A. Caragea, P. Petersen and F. Voigtlaender: Neural network approximation and estimation of classifiers with classification boundary in a Barron class, Ann. Appl. Probab. 33 (2023), no. 4, 3039-3079, https://doi.org/10.1214/22-aap1884, arXiv version 

• A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: A Balian-Low type theorem for Gabor Riesz sequences of arbitrary density, Math. Z. 303 (2023), no. 2, paper no. 48, https://doi.org/10.1007/s00209-022-03182-6, arXiv version 

• A. Caragea and D. G. Lee: A note on exponential Riesz bases, Sampl. Theory Signal Process. Data Anal. 20 (2022), no. 2, paper no. 13, https://doi.org/10.1007/s43670-022-00031-9, arXiv version 

• A. Caragea, D. G. Lee, J. Maly, G. Pfander and F. Voigtlaender: Quantitative approximation results for complex-valued neural networks, SIAM J. Math. Data Sci. 4 (2022), no. 2, 553-580, https://doi.org/10.1137/21M1429540, arXiv version 

• A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: A quantitative subspace Balian-Low theorem, Appl. Comput. Harmon. Anal. 55 (2021), 368-404, https://doi.org/10.1016/j.acha.2021.06.005, arXiv version 

• A. Caragea, D. G. Lee, G. Pfander and F. Philipp: A Balian-Low theorem for subspaces, J. Fourier Anal. Appl. 25 (2019), no. 4,1673-1694, https://doi.org/10.1007/s00041-018-9634-2, arXiv version 

Proceedings:

• A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: A quantitative Balian-Low theorem for subspaces, Proceedings of the 13th International Conference on Sampling Theory and Applications (SampTA) (2019), https://doi.org/10.1109/SampTA45681.2019.9030951 

• A. Caragea, D. G. Lee, F. Philipp and F. Voigtlaender: Time-frequency shift invariance of Gabor spaces, Proceedings of the 13th International Conference on Sampling Theory and Applications (SampTA) (2019), https://doi.org/10.1109/SampTA45681.2019.9030919 

Conference Talks:

• Approximation rates of complex valued NNs, DMV meeting Ilmenau 2023

• Complementable and hierarchical Riesz bases of exponentials, International Conference on Computational Harmonic Analysis 2022

• A quantitative Balian-Low theorem for subspaces, Sampling Theory and Applications 2019

• A quantitative Balian-Low theorem for subspaces, Aspects of Time Frequency Analysis 2019

Seminar Talks:

• Chebotarëv, Fourier minors and exponential bases, M15 Retreat, Raitenhaslach, October 2024

• Chebotarëv, Fourier minors and exponential bases, MIDS Seminar, Ingolstadt, June 2024

• Complementable and hierarchical Riesz bases of exponentials, Utrecht University, Netherlands, April 2024

• Subspace Balian-Low theorems, Georgia Tech Analysis Seminar, Atlanta, USA, September 2019

• Subspace Balian-Low theorems, Acoustics Research Institute, Vienna, Austria, September 2019