Institute of Mathematics

Research output

Research Output per year 1985 2004 2005 2006 2007 2008 2009 2010 2011 2013 2014 2015 2016 2017 2018 2023

• 4416 Citations
• 251 Journal articles
• 102 Conference contribution
• 19 Chapter
• 18 Conference Papers
• 40 More
  • 7 Other
  • 6 Books
  • 5 Bachelor Theses
  • 4 Working papers
  • 3 Comments/Debates
  • 3 Editorial
  • 3 Scientific review articles
  • 2 Master Theses
  • 1 Monographs
  • 1 Contributions to collected editions/anthologies
  • 1 Abstracts
  • 1 Poster
  • 1 Conference Articles in Journals
  • 1 Letters
  • 1 Doctoral Theses

Research Output per year

Research Output per year

Search results

• 2023

  Population Coding Can Greatly Improve Performance of Neural Networks: A Comparison

  Jahrens, M., Hansen, H. O., Köhler, R. & Martinetz, T., 2023, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). p. 386-398 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 14258 LNCS).

  Research output: Chapters in Books/Reports/Conference Proceedings › Chapter › peer-review

• Regularisation of the Origin-Ensemble algorithm with a "Beam Prior" for Particle-Range Verification

  Kasprzak, J. G., Werner, J. F., Schadow, L. & Rafecas, M., 13.12.2023.

  Research output: Contribution to conference › Abstracts
• 2021

  Approximation properties of periodic multivariate quasi-interpolation operators

  Kolomoitsev, Y. & Prestin, J., 10.2021, In: Journal of Approximation Theory. 270, 105631.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Interpolation Operator 100%
  • Approximation Property 100%
  • Wavelet 33%
  • Interpolation Polynomial 33%
  • Lower and upper bounds 33%
  2 Citations (Scopus)

• Colorectal cancer progression is potently reduced by a glucose-free, high-protein diet: Comparison to anti-egfr therapy

  Skibbe, K., Brethack, A. K., Sünderhauf, A., Ragab, M., Raschdorf, A., Hicken, M., Schlichting, H., Preira, J., Brandt, J., Castven, D., Föh, B., Pagel, R., Marquardt, J. U., Sina, C. & Derer, S., 01.11.2021, In: Cancers. 13, 22, 5817.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Epidermal Growth Factor 100%
  • Cell Differentiation 50%
  • Programmed Death-Ligand 1 50%
  • Goblet Cell 50%
  • Aerobic Glycolysis 50%

• Die schönsten Aufgaben der Mathematik-Olympiade in Deutschland: 300 ausgewählte Aufgaben und Lösungen der Olympiadeklassen 11 bis 13

  Felgenhauer, A., Gronau, H.-D., Labahn, R., Ludwicki, W., Moldenhauer, W., Prestin, J., Rüsing, M., Wegert, E. & Welk, M., 2021, Berlin, Heidelberg: Springer Spektrum. 643 p.

  Research output: Books/Anthologies/Proceedings/Theses › Monographs › Education › peer-review

• Edge detection with trigonometric polynomial shearlets

  Schober, K., Prestin, J. & Stasyuk, S. A., 02.2021, In: Advances in Computational Mathematics. 47, 1, 17.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Edge 100%
  • Trigonometric Polynomial 100%
  • Wavelet 33%
  • Two Dimensions 33%
  • Integral 33%

• Multiparameter discrete transforms based on discrete orthogonal polynomials and their application to image watermarking

  Annaby, M. H., Ayad, H. A., Prestin, J. & Rushdi, M. A., 11.2021, In: Signal Processing: Image Communication. 99, 116434.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Orthogonal Polynomial 100%
  • Discrete Transform 100%
  • Image Processing 20%
  • Spectral Decomposition 20%
• 2020

  Abstract: Deep Learning Based CT-CBCT Image Registration for Adaptive Radio Therapy

  Kuckertz, S., Papenberg, N., Honegger, J., Morgas, T., Haas, B. & Heldmann, S., 12.02.2020, Bildverarbeitung für die Medizin 2020 . Tolxdorff, T., M. Deserno, T., Handels, H., Maier, A., H. Maier-Hein, K. & Palm, C. (eds.). Springer Vieweg, Wiesbaden, p. 229-229 1 p. (Informatik aktuell ).

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Deep Learning Method 100%

• Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions

  Asharabi, R. M. & Prestin, J., 2020, In: Numerical Algorithms.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Bivariate 100%
  • Approximates 66%
  • Convergence Rate 33%

• An Analysis of the Milstein Scheme for SPDEs Without a Commutative Noise Condition

  von Hallern, C. & Rößler, A., 20.05.2020, MCQMC 2018: Monte Carlo and Quasi-Monte Carlo Methods. Tuffin, B. & L'Ecuyer, P. (eds.). Springer, Cham, Vol. 324. p. 503-521 19 p. (Springer Proceedings in Mathematics & Statistics ; vol. 324).

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Computational Cost 66%

• Approximation of gaussians by spherical gauss-laguerre basis in the weighted hilbert space

  Derevianko, N. & Prestin, J., 2020, In: Electronic Transactions on Numerical Analysis. 52, p. 249-269 21 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Hilbert Space 100%
  • Gaussian Distribution 100%
  • Interim Result 33%

• Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula

  Asharabi, R. M. & Prestin, J., 08.2020, In: Communications on Pure and Applied Analysis. 19, 8, p. 4143-4158 16 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Bivariate 100%
  • Convergence Rate 40%
  • Gaussian Distribution 20%

• Deep learning based CT-CBCT image registration for adaptive radio therapy

  Kuckertz, S., Papenberg, N., Honegger, J., Morgas, T., Haas, B. & Heldmann, S., 10.03.2020, Medical Imaging 2020: Image Processing. Išgum, I. & A. Landman, B. (eds.). SPIE, Vol. 11313. 6 p. 2549531. (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; vol. 11313).

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Deep Learning Method 100%
  • Similarity 20%
  • Convolutional Neural Network 20%
  • Registration Accuracy 20%
  • Image Pair 20%

• High order numerical integrators for single integrand Stratonovich SDEs

  Cohen, D., Debrabant, K. & Rößler, A., 12.2020, In: Applied Numerical Mathematics. 158, p. 264-270 7 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Mean Square 50%
  • Step Size 50%
  • Numerical Scheme 50%

• Learning deformable image registration with structure guidance constraints for adaptive radiotherapy

  Kuckertz, S., Papenberg, N., Honegger, J., Morgas, T., Haas, B. & Heldmann, S., 09.06.2020, WBIR 2020: Biomedical Image Registration . Špiclin, Ž., McClelland, J., Kybic, J. & Goksel, O. (eds.). Springer, Cham, Vol. 12120 LNCS. p. 44-53 10 p. (Lecture Notes in Computer Science; vol. 12120 LNCS).

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Energy Functional 100%
  • Deformation Field 100%
  • Segmentation Information 100%
  • Deep Learning Method 100%
  • Cone Beam Computed Tomography 100%

• New Approaches in Ordinal Pattern Representations for Multivariate Time Series

  Mohr, M., Wilhelm, F., Hartwig, M., Möller, R. & Keller, K., 01.05.2020, p. 124-129. 6 p.

  Research output: Contribution to conference › Conference Papers › peer-review

  • Time Series Data 100%
  • Machine Learning Algorithm 50%
  • Classification Task 50%
  • Representation Learning 50%
  • World Application 50%

• Niche hypergraphs of products of digraphs

  Sonntag, M. & Teichert, H. M., 01.02.2020, In: Discussiones Mathematicae - Graph Theory. 40, 1, p. 279-295 17 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Omicron Coronavirus Variant 100%

• Ordinal Pattern Based Entropies and the Kolmogorov–Sinai Entropy: An Update

  Gutjahr, T. & Keller, K., 02.01.2020, In: Entropy. 22, 1, 26 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Permutation 100%
  • Upper Bound 20%
  • Conditionals 20%

• Ordinal spaces

  Keller, K. & Petrov, E., 01.02.2020, In: Acta Mathematica Hungarica. 160, 1, p. 119-152 34 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Metric Space 50%
  • Axiomatic Approach 50%

• Prony-type polynomials and their common zeros

  Prestin, J. & Veselovska, H., 2020, In: Frontiers in Applied Mathematics and Statistics. 6, p. 1-21 21 p., 16.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Polynomial 100%
  • Bivariate 42%
  • Numerical Solution 14%
  • Exponential Sums 14%
  • Open Question 14%

• Zufall schlägt zu. Stochastischer Zugang zur Entstehung von Antibiotikaresistenzen, MNU journal, 2020, 129 - 135

  Lauenroth, D., Bender, B., Boie, S., Kunze, B. & Keller, K., 01.12.2020, In: MNU Journal. 02.2020, p. 129 - 135 7 p.

  Research output: Journal Articles › Journal articles › Research › peer-review
• 2019

  Algorithmics, possibilities and limits of ordinal pattern based entropies

  Piek, A. B., Stolz, I. & Keller, K., 01.06.2019, In: Entropy. 21, 6, 547.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Data Point 100%
  • Measure Entropy 100%
  • Robust Algorithm 100%
  • Sample Rate 100%
  • Data Collection 100%

• Analysis of multilevel Monte Carlo path simulation using the Milstein discretisation

  Giles, M. B., Debrabant, K. & Rößler, A., 08.2019, In: Discrete and Continuous Dynamical Systems - Series B. 24, 8, p. 3881-3903 23 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Monte Carlo 100%
  • Discretization 100%
  • Variance 50%
  1 Citation (Scopus)

• Approximation theorems for multivariate Taylor-Abel-Poisson means

  Prestin, J., Savchuk, V. & Shidlich, A., 2019, In: Studia Universitatis Babes-Bolyai Mathematica. 64, 3, p. 313-329 17 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Positive Integer 50%
  • Lp-Spaces 50%

• Correction to: Translation matrix elements for spherical Gauss–Laguerre basis functions (GEM - International Journal on Geomathematics, (2019), 10, 1, (6), 10.1007/s13137-019-0124-8)

  Prestin, J. & Wülker, C., 01.12.2019, In: GEM - International Journal on Geomathematics. 10, 1, 15.

  Research output: Journal Articles › Comments/Debates

  • Translation Matrix 100%
  • matrix elements 100%

• Cycles as edge intersection hypergraphs

  Sonntag, M. & Teichert, H.-M., 2019, 21 p.

  Research output: Other contribution › Other › Research

  • Edge 100%
  • Hypergraphs 100%

• Directional Heisenberg uncertainty product

  Krivoshein, A., Lebedeva, E., Neiman, E. & Prestin, J., 01.01.2019, In: Mathematical Inequalities and Applications. 22, 1, p. 377-399 23 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Euclidean Space 100%

• Directional Heisenberg uncertainty product

  Krivoshein, A. V., Lebedeva, E. A. & Prestin, J., 07.2019, Math. Inequal. Appl..

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Periodic Function 100%

• Edge intersection hypergraphs - a new hypergraph concept

  Sonntag, M. & Teichert, H.-M., 2019, 15 p.

  Research output: Other contribution › Other › Research

  • 3-uniform Hypergraph 100%

• Entropy measures for data analysis: Theory, algorithms and applications

  Keller, K., 01.10.2019, In: Entropy. 21, 10, 935.

  Research output: Journal Articles › Editorial

• Equality of Kolmogorov-sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts

  Gutjahr, T. & Keller, K., 01.07.2019, In: Discrete and Continuous Dynamical Systems- Series A. 39, 7, p. 4207-4224 18 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Permutation 100%
  • Countable Partition 50%
  2 Citations (Scopus)

• Fully-Deformable 3D Image Registration in Two Seconds

  Budelmann, D., König, L., Papenberg, N. & Lellmann, J., 07.02.2019, Bildverarbeitung für die Medizin 2019. Springer Berlin Heidelberg, p. 302-307 6 p. (Informatik aktuell).

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Graphics Processing Unit 100%
  • Variational Approach 50%

• Iterated stochastic integrals in infinite dimensions: approximation and error estimates

  Leonhard, C. & Rößler, A., 15.06.2019, In: Stochastics and Partial Differential Equations: Analysis and Computations. 7, 2, p. 209-239 31 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Error Estimate 100%
  • Numerical Scheme 66%
  • Approximates 33%
  • Ordinary Differential Equation 33%
  • Mean Square 33%

• Translation matrix elements for spherical Gauss–Laguerre basis functions

  Prestin, J. & Wülker, C., 01.12.2019, In: GEM - International Journal on Geomathematics. 10, 1, 6.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Basis Function 100%
  • Matrix Element 100%
  • Fast Fourier Transform 20%
  • Gaussian Distribution 20%
  • Polynomial Basis 20%
  1 Citation (Scopus)
• 2018

  A directional uncertainty principle for periodic functions

  Krivoshein, A., Lebedeva, E. & Prestin, J., 01.01.2018, In: Multidimensional Systems and Signal Processing.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Periodic Function 100%
  • Wavelet 50%
  • Discrete Signal 50%

• CD154 Costimulation Shifts the Local T-Cell Receptor Repertoire Not Only During Thymic Selection but Also During Peripheral T-Dependent Humoral Immune Responses

  Fähnrich, A., Klein, S., Sergé, A., Nyhoegen, C., Kombrink, S., Möller, S., Keller, K., Westermann, J. & Kalies, K., 2018, In: Frontiers in Immunology. 9, p. 1019

  Research output: Journal Articles › Journal articles › Research › peer-review

  • T Cell Receptor 100%
  • Humoral Immunity 100%
  • T Cell 50%
  • T-Helper Cell 25%
  • B Cell 25%

• Enhancing the order of the Milstein scheme for stochastic partial differential equations with commutative noise

  Leonhard, C. & Roßler, A., 01.01.2018, In: SIAM Journal on Numerical Analysis. 56, 4, p. 2585-2622 38 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Computational Cost 75%
  • Pointwise 25%
  • Numerical Example 25%
  • Numerical Scheme 25%

• Hades - The Invisible Side of Mathematical Thinking

  Paravicini, W., Schnieder, J. & Scharlau, I., 10.06.2018, The Philosophy of Mathematics Education Today. Ernest, P. (ed.). Cham: Springer International Publishing, p. 353-364 12 p. (ICME-13 Monographs).

  Research output: Chapters in Books/Reports/Conference Proceedings › Chapter › peer-review

  • Hermeneutic Theory 100%
  • Tutor 100%
  • Dialectics 100%
  • Speculative philosophy 100%
  • Phenomenological philosophy 100%

• Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials

  Semenov, V. & Prestin, J., 01.07.2018, In: Cybernetics and Systems Analysis. 54, 4, p. 678-686 9 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Wavelet 100%
  • Jacobi Polynomials 100%
  • Orthogonality 100%
  • Nonlinear Systems Of Equations 33%

• Large Deformation Diffeomorphic Metric Mappings -- Theory, Numerics, and Applications

  Polzin, T., 07.06.2018, 223 p.

  Research output: Published Theses › Doctoral Theses

  • Discretization 100%
  • Optimization Problem 66%
  • Data Type 33%
  • Memory Consumption 33%
  • Velocity Distribution 33%

• Lattice self-similar sets on the real line are not Minkowski measurable

  KOMBRINK, S. & WINTER, S., 10.04.2018, In: Ergodic Theory and Dynamical Systems. p. 1-12 12 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Lattice 100%
  • Real Line 100%
  • Self-Similar Set 100%
  • Minkowski 100%
  • Open Set Condition 66%

• LTP or LTD? Modeling the influence of stress on synaptic plasticity

  Peters, A., Reisch, C. & Langemann, D., 01.01.2018, In: eNeuro. 5, 1, e0242-17.2018.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Synaptic Plasticity 100%
  • Long-Term Potentiation 100%
  • Long-Term Depression 100%
  • Glucocorticoid 100%
  • N Methyl Dextro Aspartic Acid Receptor 100%
  2 Citations (Scopus)

• Mathematical analysis of the 1D model and reconstruction schemes for magnetic particle imaging

  Erb, W., Weinmann, A., Ahlborg, M., Brandt, C., Bringout, G., Buzug, T. M., Frikel, J., Kaethner, C., Knopp, T., Marz, T., Möddel, M., Storath, M. & Weber, A., 20.04.2018, In: Inverse Problems. 34, 5, p. 055012

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Singular Value 100%
  • Building Block 100%
  • Hilbert Space 50%
  • Applied Magnetic Field 50%
  • Posedness 50%

• On L_p-error of bivariate polynomial interpolation on the square

  Kolomoitsev, Y., Lomako, T. & Prestin, J., 01.05.2018, In: Journal of Approximation Theory. 229, p. 13-35 23 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Bivariate 100%
  • Interpolation Polynomial 100%
  • Tensor 25%

• Recovery of periodicities hidden in heavy-tailed noise

  Karabash, I. M. & Prestin, J., 01.01.2018, In: Mathematische Nachrichten. 291, 1, p. 86-102 17 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Parametric 100%
  • Random Variable 100%
  • Considered Class 100%
  • Discrete Signal 100%

• Renewal theorems for processes with dependent interarrival times

  Kombrink, S., 01.12.2018, In: Advances in Applied Probability. 50, 4, p. 1193-1216 24 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Interarrival Time 100%
  • Renewal Theorem 100%
  • Continuous Function 20%
  • Minkowski 20%
  • Symbolic Dynamic 20%

• Smoothing of weights in the Bernstein approximation problem

  Bakan, A. & Prestin, J., 2018, In: Proceedings of the American Mathematical Society. 2018, 146 (2), p. 653-667

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Polynomial 100%
  • Positive Integer 100%
  • Seminorm 100%

• Split-step double balanced approximation methods for stiff stochastic differential equations

  Haghighi, A. & Rößler, A., 08.06.2018, In: International Journal of Computer Mathematics. p. 1-18 18 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Stochastic Differential Equation 100%
  • Mean Square 100%
  • Solving System 25%
  • Computational Cost 25%

• Stolperstein Mathematik: Lernberatung für Studierende gestalten

  Jan Friedewold, D., Kötter, L., Link, F. & Schnieder, J., 2018, wbv Shop. 164 p.

  Research output: Books/Anthologies/Proceedings/Theses › Books › peer-review

• Visuelle Unterstützung bei endovaskulären Eingriffen durch Darstellung einer virtuellen Angioskopie auf der HoloLens

  Jäckle, S., von Haxthausen, F., García-Vázquez, V., Schumann, C., Kleemann, M., Ernst, F. & Papenberg, N., 01.10.2018. 1 p.

  Research output: Contribution to conference › Conference Papers › peer-review