## Contact |
## CV |
## Teaching |
## Publications |
## Code |

Welcome to my page! I am a PostDoc working on mathematics of data science and machine learning. My former research has been focused on compressed sensing and, in particular, the influence of quantization on signal reconstruction. I am currently interested in the recovery of multi-structured signals, covariance estimation, approximation properties of neural networks, and the implicit bias of gradient descent. |

## Contact

Current address: Ostenstraße 26, D-85072 Eichstätt

E-mail: johannes(dot)maly(at)ku(dot)de

## Short CV

- 11/2020 - now: PostDoc (akademischer Rat auf Zeit) at the
*Department of Scientific Computing*at Catholic University of Eichstaett-Ingolstadt - 02/2019 - 10/2020: PostDoc at the
*Chair for Mathematics of Data Processing*at RWTH Aachen University - 01/2016 - 01/2019: PhD at the
*Chair for Applied and Numerical Analysis and Optimization and Data Analysis*at TUM, Munich, under supervision of Prof. Massimo Fornasier - 10/2013 - 09/2015: M.Sc. in mathematics at TUM, Munich
- 05/2011 - 09/2013: B.Sc. in mathematics at TUM, Munich

A more detailed CV may be found here (March 2021).

## Teaching

- 11/2020 - 03/2021: “Introduction to Numerical Analysis” (Lecture+Exercises), KU, Eichstaett/Ingolstadt
- 04/2020 - 09/2020: Teaching assistant for “Optimization”, RWTH, Aachen
- 10/2019 - 03/2020: Teaching assistant for “Repetitorium - Higher Mathematics II”, RWTH, Aachen
- 04/2019 - 09/2019: Teaching assistant for “Higher Mathematics II”, RWTH, Aachen
- 04/2018 - 09/2018: Teaching assistant for “Foundations of Data Analysis”, TUM, Munich

## Publications

### Preprints

- S. Dirksen, J. Maly, and H. Rauhut:
*“Covariance estimation under one-bit quantization”*, 2021,*arXiv preprint* - J. Maly:
*“Robust Sensing of Low-Rank Matrices with Non-Orthogonal Sparse Decomposition”*, 2021,*arXiv preprint* - F. Boßmann, S. Krause-Solberg, J. Maly, and N. Sissouno:
*“Structural Sparsity in Multiple Measurements”*, 2021,*arXiv preprint* - A. Caragea, D. G. Lee, J. Maly, G. Pfander, and F. Voigtlaender:
*“Quantitative approximation results for complex-valued neural networks”*, 2021,*arXiv preprint* - H.–H. Chou, C. Gieshoff, J. Maly, and H. Rauhut:
*“Gradient Descent for Deep Matrix Factorization: Dynamics and Implicit Bias towards Low Rank”*, 2020,*arXiv preprint*

### Journal publications

- Z. Kereta, J. Maly, and V. Naumova:
*“Computational approaches to non-convex, sparsity-inducing multi-penalty regularization”*, 2021,*Inverse Problems*,*(arXiv)* - M. Iwen, F. Krahmer, S. Krause-Solberg, and J. Maly:
*“On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds”*, 2021,*Discrete and Computational Geometry*,*(arXiv)* - H. C. Jung, J. Maly, L. Palzer, and A. Stollenwerk:
*“Quantized Compressed Sensing by Rectified Linear Units”*, 2021,*IEEE Transactions on Information Theory*,*(arXiv)* - M. Fornasier, J. Maly and V. Naumova:
*“Robust Recovery of Low-Rank Matrices with Non-Orthogonal Sparse Decomposition from Incomplete Measurements”*, 2020,*Applied Mathematics and Computation*,*(arXiv)* - J. Maly and L. Palzer:
*“Analysis of Hard-Thresholding for Distributed Compressed Sensing with One-Bit Measurements”*, 2019,*Information and Inference: A Journal of the IMA*,*(arXiv)*

### Conference publications

- H. C. Jung, J. Maly, L. Palzer, and A. Stollenwerk:
*“Quantized Compressed Sensing by Rectified Linear Units”*, 2021,*Proceedings in Applied Mathematics and Mechanics — PAMM 2021* - A. Guth, C. Culotta-López, J. Maly, H. Rauhut, and D. Heberling:
*“Polyhedral Sampling Structures for Phaseless Spherical Near-Field Antenna Measurements”*, 2020,*42nd Antenna Measurement Techniques Association Symposium (AMTA)* - H. C. Jung, J. Maly, L. Palzer, and A. Stollenwerk:
*“Quantized Compressed Sensing by Rectified Linear Units”*, 2020,*iTWIST’20* - S. Dirksen, M. Iwen, S. Krause-Solberg, and J. Maly:
*“Robust One-bit Compressed Sensing With Manifold Data”*, 2019,*International Conference on Sampling Theory and Applications (SampTA)* - H. C. Jung, J. Maly, L. Palzer, and A. Stollenwerk:
*“One-Bit Compressed Sensing by Convex Relaxation of the Hamming Distance”*, 2019,*SPARS workshop* - Z. Kereta, J. Maly, and V. Naumova:
*Linear convergence and support recovery for non-convex multi-penalty regularisation*, 2019,*SPARS workshop* - M. Fornasier, J. Maly and V. Naumova:
*“Robust Recovery of Low-Rank Matrices using Multi-Penalty Regularization”*, 2017,*NIPS workshop Optimization for Machine Learning* - S. Krause-Solberg and J. Maly:
*“A tractable approach for one-bit Compressed Sensing on manifolds”*, 2017,*International Conference on Sampling Theory and Applications (SampTA)*

### Theses

- J. Maly:
*“Recovery Algorithms for Quantized Compressed Sensing”*, 2019, Phd thesis - J. Maly:
*“Weighted Energy-Dissipation Approximation for an Optimal Control Problem”*, 2015, Master’s thesis

## Code

- Supplementary material for
*“Robust Sensing of Low-Rank Matrices with Non-Orthogonal Sparse Decomposition”* - Supplementary material for
*“Robust Recovery of Low-Rank Matrices with Non-Orthogonal Sparse Decomposition from Incomplete Measurements”* - Supplementary material for
*“On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds”*