Dr Andreas Heinecke

Dr Andreas Heinecke

Senior Lecturer in Mathematics

School of Computer and Information Sciences

Career Summary

Biography

Andreas is an applied mathematician specializing in applied and computational harmonic analysis, mathematical signal processing, and the development of mathematical and statistical models for data science applications. His research includes designing algorithms for solving these models using tools from Bayesian inference, machine learning and optimization.

Before joining the University of Newcastle, Andreas completed his undergraduate degree in Germany, his PhD degree in the USA, and held academic positions in Singapore.

Keywords

  • Applied Mathematics
  • Bayesian statistics
  • Frame theory
  • Functional Analysis
  • Harmomic Analysis
  • Machine Learning
  • Signal Processing

Languages

  • German (Mother)
  • English (Fluent)

Fields of Research

Code Description Percentage
490406 Lie groups, harmonic and Fourier analysis 30
461199 Machine learning not elsewhere classified 20
400607 Signal processing 20
490508 Statistical data science 30

Professional Experience

UON Appointment

Title Organisation / Department
Senior Lecturer in Mathematics University of Newcastle
School of Computer and Information Sciences
Australia

Professional appointment

Dates Title Organisation / Department
1/7/2015 - 31/10/2024 Assistant Professor Yale-NUS College
Singapore
1/1/2013 - 30/6/2015 Postdoctoral Scholar National University of Singapore
Singapore
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.

Conference (2 outputs)

Year Citation Altmetrics Link
2011 Casazza PG, Fickus M, Heinecke A, Wang Y, Zhou Z, 'Spectral tetris fusion frame constructions', Proceedings of SPIE--the International Society for Optical Engineering, 8138 (2011)
DOI 10.1117/12.892708
2009 Calderbank R, Casazza PG, Heinecke A, Kutyniok G, Pezeshki A, 'Constructing fusion frames with desired parameters', Proceedings of SPIE--the International Society for Optical Engineering, 7446 (2009)
DOI 10.1117/12.825782

Journal article (11 outputs)

Year Citation Altmetrics Link
2024 Natarajan A, De Iorio M, Heinecke A, Mayer E, Glenn S, 'Cohesion and Repulsion in Bayesian Distance Clustering', Journal of the American Statistical Association, 119, 1374-1384 (2024)
DOI 10.1080/01621459.2023.2191821
2023 Heinecke A, Weber MR, 'FINITE ELEMENTS IN ORDERED BANACH SPACES WITH POSITIVE BASES', Journal of Mathematical Sciences United States, 271, 708-713 (2023) [C1]
DOI 10.1007/s10958-023-06623-7
2021 Heinecke A, Ye L, De Iorio M, Ebbels T, 'Bayesian Deconvolution and Quantification of Metabolites from J-Resolved NMR Spectroscopy', Bayesian Analysis, -1, 1-34
DOI 10.1214/20-ba1208
2020 Heinecke A, Ho J, Hwang WL, 'Refinement and Universal Approximation via Sparsely Connected ReLU Convolution Nets', IEEE Signal Processing Letters, 27, 1175-1179 (2020) [C1]
DOI 10.1109/LSP.2020.3005051
2020 Heinecke A, Tallarita M, De Iorio M, 'Bayesian splines versus fractional polynomials in network meta-analysis.', BMC medical research methodology, 20 (2020)
DOI 10.1186/s12874-020-01113-9
2020 Le Bert N, Gill US, Hong M, Kunasegaran K, Tan DZM, Ahmad R, Cheng Y, Dutertre C-A, Heinecke A, Rivino L, Tan A, Hansi NK, Zhang M, Xi S, Chong Y, Pflanz S, Newell EW, Kennedy PTF, Bertoletti A, 'Effects of Hepatitis B Surface Antigen on Virus-Specific and Global T Cells in Patients With Chronic Hepatitis B Virus infection.', Gastroenterology, 159, 652-664 (2020)
DOI 10.1053/j.gastro.2020.04.019
2019 Hwang W-L, Heinecke A, 'Un-Rectifying Non-Linear Networks for Signal Representation', IEEE Transactions on Signal Processing, 68, 196-210
DOI 10.1109/tsp.2019.2957607
2013 Casazza PG, Heinecke A, Kornelson K, Wang Y, Zhou Z, 'Necessary and sufficient conditions to perform Spectral Tetris', Linear Algebra and its Applications, 438, 2239-2255 (2013)
DOI 10.1016/j.laa.2012.10.030
2012 Casazza PG, Fickus M, Heinecke A, Wang Y, Zhou Z, 'Spectral Tetris Fusion Frame Constructions', Journal of Fourier Analysis and Applications, 18, 828-851 (2012)
DOI 10.1007/s00041-012-9225-6
2011 Casazza PG, Heinecke A, Krahmer F, Kutyniok G, 'Optimally Sparse Frames', IEEE Transactions on Information Theory, 57, 7279-7287 (2011)
DOI 10.1109/tit.2011.2160521
2011 Calderbank R, Casazza PG, Heinecke A, Kutyniok G, Pezeshki A, 'Sparse fusion frames: existence and construction', Advances in Computational Mathematics, 35, 1-31 (2011)
DOI 10.1007/s10444-010-9162-3
Show 8 more journal articles

Preprint (8 outputs)

Year Citation Altmetrics Link
2025 De Iorio M, Heinecke A, Franzolini B, Cabral R, 'Singularities in Bayesian Inference: Crucial or Overstated?' (2025)
DOI 10.48550/arxiv.2501.06618
2023 Natarajan A, De Iorio M, Heinecke A, Mayer E, Glenn S, 'Cohesion and Repulsion in Bayesian Distance Clustering' (2023)
DOI 10.48550/arxiv.2107.05414
2021 Heinecke A, Mayer E, Natarajan A, Jung Y, 'Unsupervised Statistical Learning for Die Analysis in Ancient Numismatics' (2021)
DOI 10.48550/arxiv.2112.00290
2019 Heinecke A, Hwang W-L, 'Deep Representation with ReLU Neural Networks' (2019)
DOI 10.48550/arxiv.1903.12384
2012 Casazza P, Heinecke A, Kornelson K, Wang Y, Zhou Z, 'Necessary and sufficient conditions to perform Spectral Tetris' (2012)
DOI 10.48550/arxiv.1204.3306
2012 Casazza PG, Fickus M, Heinecke A, Wang Y, Zhou Z, 'Spectral Tetris Fusion Frame Constructions' (2012)
DOI 10.48550/arxiv.1108.4061
2011 Casazza PG, Heinecke A, Krahmer F, Kutyniok G, 'Optimally Sparse Frames' (2011)
DOI 10.48550/arxiv.1009.3663
2009 Calderbank R, Casazza PG, Heinecke A, Kutyniok G, Pezeshki A, 'Fusion Frames: Existence and Construction' (2009)
DOI 10.48550/arxiv.0906.5606
Show 5 more preprints
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Dr Andreas Heinecke

Position

Senior Lecturer in Mathematics
School of Computer and Information Sciences
College of Engineering, Science and Environment

Contact Details

Email andreas.heinecke@newcastle.edu.au
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