Preprints

• Cordero, E. and de, G. and Dörfler, M. and Nicola, F.,
  Generalized Born--Jordan Distributions and Applications
  preprint https://arxiv.org/abs/1811.04601 (nov) (2018)

Journal Publications

• Dörfler, M. and Luef, F. and McNulty, H. and Skrettingland, E.,
  Time-frequency analysis and coorbit spaces of operators
  J. Math. Anal. Appl. 534, 2 (2024) 128058 MR:MR4685895
• Dörfler, M. and Luef, F. and McNulty, H. and Skrettingland, E.,
  Time-Frequency Analysis and Coorbit Spaces of Operators
  arXiv preprint arXiv:2210.04844 (2022)
• Dörfler, M. and Luef, F. and Skrettingland, E.,
  Local structure and effective dimensionality of time series data sets
  arXiv preprint arXiv:2111.02153 (2021)
• Cordero, E. and de Gosson, M. and Dörfler, M. and Nicola, F.,
  Signal Analysis using Born-Jordan-type Distribution
  arXiv preprint arXiv:1912.11387 (2019)
• Bammer, R. and Dörfler, M. and Harar, P.,
  Gabor Frames and Deep Scattering Networks in Audio Processing,
  Axioms 8,, 4 (09) (2019)
• Breger, A. and Orlando, J. and Harar, P. and Dörfler, M. and Klimscha, S. and Grechenig, C. and Gerendas, B. and Schmidt-Erfurth, U. and Ehler, M.,
  On Orthogonal Projections for Dimension Reduction and Applications in Variational Loss Function for Learning Problems
  Journal of Mathematical Imaging and Vision (Oct) (2019)
• Dörfler, M.,
  Learning how to Listen: Time-Frequency Analysis meets Convolutional Neural Networks
  Internationale Mathematische Nachrichten 1 (March) (2019)[pdf]
• Cordero, E. and de Gosson, M. and Dörfler, M. and Nicola, F.,
  On the symplectic covariance and interferences of time-frequency distributions.
  SIAM J. Math. Anal. 50, 2 (2018) 2178--2193 Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ZBL:1388.42017
• Dörfler, M. and Grill, T. and Bammer, R. and Flexer, A.,
  Basic filters for convolutional neural networks applied to music: Training or design?
  Neural Computing and Applications https://doi.org/10.1007/s00521-018-3704-x (2018) »link [pdf]
• Velasco, G. and Dörfler, M.,
  Sampling time-frequency localized functions and constructing localized time-frequency frames
  European J. Appl. Math. 28, 5 (2017) 854-876 MR:MR3693116
• Ottosen, E. and Dörfler, M.,
  A Phase Vocoder based on Nonstationary Gabor Frames
  IEEE Trans. Acoust. Speech Signal Process. to appear, https://arxiv.org/abs/1612.05156 (dec) (2016)
• Dörfler, M. and Grill, T.,
  Understanding Convolutional Neural Networks: Introspection for Audio Signals and a Connection to Social Sparsity
  arXiv e-prints (2016) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Matusiak, E.,
  Nonstationary Gabor frames - approximately dual frames and reconstruction errors
  Adv. Comput. Math. 41, 2 (April) (2015) 293-316 MR:MR3337493 ZBL:06445821 [pdf]
• Dörfler, M. and Velasco, G.,
  Adaptive Gabor frames by projection onto time-frequency subspaces
  2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (2014)
• Dörfler, M. and Matusiak, E.,
  Sparse Gabor multiplier estimation for identification of sound objects in texture sound.
  Sound, Music and Motion, M. Aramaki et al. LNCS 8905 (2014) 443-462 Springer International Publishing Switzerland MR:MRXXX ZBL:ZblXXX
• Dörfler, M. and Romero, J.,
  Frames adapted to a phase-space cover
  Constr. Approx. 39, 3 (2014) 445-484 MR:MR3207668 ZBL:1314.42033 [pdf]
• Dörfler, M. and Matusiak, E.,
  Nonstationary Gabor Frames - Existence and Construction
  Int. J. Wavelets Multiresolut. Inf. Process. 12, 3 (May) (2014) MR:MR3211110 ZBL:06328429 »link [pdf]
• Evangelista, G. and Dörfler, M. and Matusiak, E.,
  Arbitrary phase vocoders by means of warping
  Musica/Tecnologia 7 (2013) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Matusiak, E.,
  Identifying novelty and sound objects in texture sounds by sparse adaptation of Gabor coefficients
  10th International Symposium on Computer Music Multidisciplinary Research (CMMR) Marseille (Oct.) (2013) MR:MRXXX ZBL:ZblXXX
• Dörfler, M. and Kowalski, M. and Siedenburg, K.,
  Audio Inpainting with Social Sparsity
  Proceedings of Spars2013, Lausanne, Switzerland (July) (2013) MR:MRXXX ZBL:ZblXXX
• Dörfler, M.,
  Local and Global Aspects of Time-Frequency Analysis. With Applications to Sound Analysis
  Habilitationsschrift (2013) 1 --257 MR:MRXXX ZBL:ZblXXX [pdf]
• Balazs, P. and Dörfler, M. and Kowalski, M. and Torrésani, B.,
  Adapted and adaptive linear time-frequency representations: a synthesis point of view
  IEEE Signal Processing Magazine 30, 6 (2013) 20--31 MR:MRXXX ZBL:ZblXXX
• Siedenburg, K. and Dörfler, M.,
  Persistent Time-Frequency Shrinkage for Audio Denoising
  J. Audio Eng. Soc. 61, 1/2 (2013) MR:MRXXX ZBL:ZblXXX
• Holighaus, N. and Dörfler, M. and Velasco, G. and Grill, T.,
  A framework for invertible, real-time constant-Q transforms
  IEEE Trans. Audio Speech Lang. Process. 21, 4 (2013) 775 -785 MR:MRXXX ZBL:ZblXXX »link
• Kowalski, M. and Siedenburg, K. and Dörfler, M.,
  Social Sparsity! Neighborhood Systems Enrich Structured Shrinkage Operators
  IEEE Trans. Signal Process. 61, 10 (2013) 2498 - 2511 MR:MR3053821 ZBL:ZblXXX »link
• Dörfler, M.,
  Allocating, detecting and mining sound structures: An overview of technical tools
  Artificial Intelligence Applications and Innovations, Iliadis, Lazaros;Maglogiannis, Ilias;Papadopoulos, Harris;Karatzas, Kostas;Sioutas, Spyros, IFIP Advances in Information and Communication Technology 382 (2012) 470-479 Springer Boston MR:MRXXX ZBL:ZblXXX
• Evangelista, G. and Dörfler, M. and Matusiak, E.,
  Phase vocoders with arbitrary frequency band selection
  Proceedings of the 9th Sound and Music Computing Conference, July 11-14th 2012 Kopenhagen (2012) MR:MRXXX ZBL:ZblXXX
• Siedenburg, K. and Dörfler, M.,
  Audio denoising by generalized time-frequency thresholding
  Proceedings of the AES 45th Conference on Applications of Time-Frequency Processing Helsinki, Finland (2012) MR:MRXXX ZBL:ZblXXX
• Abreu, L. and Dörfler, M.,
  An inverse problem for localization operators
  Inverse Problems 28, 11 (2012) 115001, 16 MR:MR2981726 ZBL:1309.42005
• Siedenburg, K. and Dörfler, M.,
  Structured sparsity for audio signals
  Proceedings of DAFX11 (2011) MR:MRXXX ZBL:ZblXXX »link
• Balazs, P. and Dörfler, M. and Jaillet, F. and Holighaus, N. and Velasco, G.,
  Theory, implementation and applications of nonstationary Gabor frames
  J. Comput. Appl. Math. 236, 6 (2011) 1481-1496 MR:MR2854065 ZBL:05991211 [pdf]
• Dörfler, M. and Torrésani, B.,
  Representation of operators by sampling in the time-frequency domain
  Sampl. Theory Signal Image Process. 10, 1-2 (2011) 171-190 MR:MR2848604 ZBL:1285.47023 [pdf]
• Velasco, G. and Holighaus, N. and Dörfler, M. and Grill, T.,
  Constructing an invertible constant-Q transform with non-stationary Gabor frames
  Proceedings of DAFX11 (2011) MR:MRXXX ZBL:ZblXXX »link [pdf]
• Dörfler, M. and Gröchenig, K.,
  Time-frequency partitions and characterizations of modulations spaces with localization operators
  J. Funct. Anal. 260, 7 (2011) 1903 -- 1924 MR: MR2756143 ZBL:1210.42049
• Dörfler, M.,
  Quilted Gabor frames - A new concept for adaptive time-frequency representation
  Adv. Appl. Math. 47, 4 (Oct.) (2011) 668-687 MR:MR2832372 ZBL:1230.42010 »link [pdf]
• Dörfler, M. and Torresani, B.,
  Representation of operators in the time-frequency domain and generalized Gabor multipliers
  J. Fourier Anal. Appl. 16, 2 (2010) 261-293 MR:MR2600960 ZBL:1205.47017 »link
• Dörfler, M.,
  Virtue and vice of time-frequency representations for Audio Signals
  arXiv e-prints (2008) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Feichtinger, H. and Gröchenig, K.,
  Time-frequency partitions for the Gelfand triple $({S}_0, {L}^2,{{S}_0}')$
  Math. Scand. 98, 1 (2006) 81-96 MR:MR2221546 ZBL:1215.42013 [pdf]
• Dörfler, M.,
  What time-frequency analysis can do to Music Signals
  Matematica e Cultura 2003 , Emmer, M. (2003) MR:MR3050986 ZBL:ZblXXX [pdf]
• Dörfler, M. and Feichtinger, H. and Gröchenig, K.,
  Compactness criteria in function spaces
  Colloq. Math. 94, 1 (2002) 37-50 MR:MR1930200 ZBL:1017.46014 [pdf]
• Dörfler, M.,
  Time-frequency Analysis for Music Signals. A Mathematical Approach
  Journal of New Music Research 30, 1 (2001) 3-12 MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Feichtinger, H.,
  
  Diderot Forum on Mathematics and Music. Computational and Mathematical Methods in Music (1999) MR:MRXXX ZBL:ZblXXX
• Velasco, G. and Dörfler, M.,
  Sampling time-frequency localized functions and constructing localized time-frequency frames
  

Conference contributions

• Lattner, S. and Dörfler, M. and Arzt, A.,
  Learning complex basis functions for invariant representations of audio
  arXiv e-prints Proceedings of ISMIR19 (November) (2019)
• Dörfler, M. and Bammer, R. and Breger, A. and Harar, P. and Smekal, Z.,
  Improving Machine Hearing on Limited Data Sets
  Proceedings of ICUMT 2019 Proceedings of ICUMT 2019 (November) (2019)
• Dörfler, M. and Bammer, R. and Grill, T.,
  Inside the Spectrogram: Convolutional Neural Networks in Audio Processing.
  Proceedings of SAMPTA 2017 (2017)
• Bammer, R. and Dörfler, M.,
  Invariance and stability of Gabor scattering for music signals
  Proceedings of SAMPTA 2017 (2017)
• Dörfler, M. and Faulhuber, M.,
  Multi-window weaving frames
  SAMPTA 2017 Proceedings of SAMPTA 2017 (July) (2017)
• Bammer, R. and Dörfler, M.,
  Modifying signals in transform domain: a frame-based inverse problem.
  DAFx16 accepted (March) (2016) MR:^MRXXX ZBL:ZblXXX
• Dörfler, M. and Velasco, G.,
  Adaptive Gabor frames by projection onto time-frequency subspaces
  Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on (May,) (2014) 3097-3101 MR:MRXXX ZBL:ZblXXX [pdf]
• Schoerkhuber, C. and Klapuri, A. and Holighaus, N. and Dörfler, M.,
  A MATLAB toolbox for efficient perfect reconstruction time-frequency transforms with log-frequency resolution.
  53 (2014) Proceedings of the 53rd AES international conference on semantic audio. London, UK MR:MRXXX ZBL:ZblXXX [pdf]
• Siedenburg, K. and Kowalski, M. and Dörfler, M.,
  Audio Declipping with Social Sparsity
  Proc. ICASSP14 accepted (2014) MR:MRXXX ZBL:ZblXXX
• Dörfler, M. and Romero, J.,
  Frames of eigenfunctions and localization of signal components
  Proceedings of the 10th International Conference on Sampling Theory and Applications (SampTA2013) (July) (2013) MR:MRXXX ZBL:ZblXXX
• Dörfler, M. and Matusiak, E.,
  Tracing Sound Objects in Audio Textures
  Proceedings Sampta13 (2013) MR:MRXXX ZBL:ZblXXX [pdf]
• Holzapfel, A. and Velasco, G. and Holighaus, N. and Dörfler, M. and Flexer, A.,
  Advantages of nonstationary Gabor transforms in beat tracking
  Proceedings of the 1st International ACM Workshop on Music Information Retrieval with User-Centered and Multimodal Strategies (MIRUM'11) (November) (2011) MR:MRXXX ZBL:ZblXXX [pdf]
• Majdak, P. and Balazs, P. and Kreuzer, W. and Dörfler, M.,
  Increasing the Signal-to-Noise Ratio in system Identification with Exponential Sweeps by Thresholding in the Time-Frequency Domain
  ICASSP 2011 (2011) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Flexer, A. and Velasco, G. and Klien, V.,
  Sparse Regression in Time-Frequency Representations of Complex Audio
  Proceedings of SMC 2010 (July) (2010) MR:MRXXX ZBL:ZblXXX [pdf]
• Jaillet, F. and Balazs, P. and Dörfler, M. and Engelputzeder, N.,
  On the structure of the phase around the Zeros of the STFT
  Proceedings of DAGA09, Rotterdam, NL (2009) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Balazs, P. and Jaillet, F.,
  Removing Components from a Time-Frequency Representation
  Proceedings of DAGA09, Rotterdam, NL (March) (2009) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Torrésani, B.,
  Representation of operators by sampling in the time-frequency domain
  Proceedings of SAMPTA09 (2009) MR:MR2848604 ZBL:1285.47023 [pdf]
• Jaillet, F. and Balazs, P. and Dörfler, M. and Engelputzeder, N.,
  Nonstationary Gabor Frames
  SAMPTA'09, Marseille, May 18-22 (2009) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Torrésani, B.,
  Spreading function representation of operators and Gabor multiplier approximation
  Proceedings of SAMPTA07 (June;) (2007) MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Feichtinger, H.,
  Orthogonal projections derived from localization operators
  Proc. Conf. EUSIPCO (Sept. 2004, TU Vienna) (2004) 1195---1198 MR:MRXXX ZBL:ZblXXX »link [pdf]
• Dörfler, M. and Godsill, S. and Wolfe, P.,
  Multi-Gabor dictionaries for audio time-frequency analysis
  Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (Oct.;) (2001) 43-46 MR:MRXXX ZBL:ZblXXX [pdf]
• Dörfler, M. and Deistler, M.,
  A Structure Theory for Identification of Recurrent Neural Nets, Part 1
  IFAC, NoLCos, Huijberts, H.J.C.; Nijmeijer,H.;Van der Schaft, A.J. ;Scherpen, J.M.A. (July;) (1998) 459-464 MR:MRXXX ZBL:ZblXXX