Wissenschaft!

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A mathematican named Klein
Thought the Moebius band was divine.
Said he: If you glue
The edges of two,
You'll get a weird bottle like mine.

Ich habe Mathematik (Diplom) und Mathematik/Physik (Lehramt) an der Universität Wien am Mathematischen Institut studiert! Ich habe mein Studium, Mathematik (Diplom), am 07.12.01. mit Auszeichnung abgeschlossen. Wollt Ihr meine Diplomarbeit "Polynome über Gruppen" oder nur das Vorwort lesen ? Sie beschäftigt sich zuerst mit dem Konzept der Polynom und Polynomfunktionen, verallgemeinert auf universale Algebren. Danach werden diese Konzepte auf die Klasse der Gruppen angewandt und untersucht.

Am 22. Juni 2005 habe ich mein Doktoratsstudium mit Auszeichnung abgeschlossen. Titel der Dissertation: "Regular and irregular Gabor multiplier with application to psychoacoustic masking" (Link). Sie wurde bei NuHAG geschrieben. 

Die Wissensgebiete in der Mathematik, die mich während des Studiums sehr interessiert haben, waren Algebra, Harmonische Analyse und Topologie und Verbindungen davon (wie z.B. topologische Algebra oder Fourier Analysis über Gruppen). Durch meinen Posten und meine Beschäftigung mit Computern ist mein Interesse an der angewandten und numerischen Mathematik sowie an Signalverarbeitung stark angestiegen. Mit meiner Dissertation habe ich auch Interese an der Funktionalanalysis und Operatoren-Theorie entwickelt.

Am Institut für Schallforschung (ARI) der Österreichischen Akademie der Wissenschaften habe ich als Programmierer begonnen und arbeite nun als Mathematiker dort. Dadurch bin ich nun vermehrt in den Kontakt mit Algorithmen, Signalverarbeitung und Akustik gekommen. Dort konnte ich nun auch drei meiner Hauptinteressen vereinen: Akustik (ich bin Musiker und habe so manches Konzert als Tontechniker betreut), Mathematik und Informatik. Um genaueres über den Tätigkeitsbereich der Schallforschung zu erfahren, schaut auf diese Homepage.

Von November 2003 - April 2004 habe ich an meiner Dissertation bei der  Groupe de Traitement du Signal , Laboratoire d'Analyse Topologie et Probabilités, LATP/ CMI, Université de Provence, Marseille und der Gruppe Modélisation, Synthèse et Contrôle des Signaux Sonores et Musicaux des LMA / CRNS Marseille gearbeitet. Das wurde einerseits vom HASSIP network finanziert, andererseits durch ARI unterstützt.

 Im August 2005 habe ich Jean-Pierre Antoine im Unité de physique théorique et de physique mathématique – FYMA besucht, um unter anderem an der Verbindung der Theorie der frame multiplier und weighted frames zu arbeiten.

März, Mai und Juni 2006 verbrachte ich erneut in Marseille. Mit der Kooperation NuHAG und der Groupe de Traitement du Signal wurde das Thema Gabor Software bearbeitet. Mit dem  MSCSSM und dem Institut ARI beschäftigten wir uns mit Zeit-Frequenz Repräsentationen und Wahrnehmung. Zu diesem Thema wurde mir auch eine Austauschprojekt für diese Institute im Rahmen des WTZ genehmigt.

Ich konnte mich erfolgreich um ein WWTF-Projekt mit dem Titel 'Frame Multiplier: Theory and Application in Acoustics' bewerben. Dieses internationale, multi-disziplinäre und team-orierntierte Projekt hat es mir auch erlaubt eine kleine Gruppe 'Mathematik und Signalverarbeitung’ am Institut für Schallforschung zu gründen und zu führen. (Mittleweile die größte Gruppe mit 13 MitarbeiterInnen.) Dieses Projekt hat im März 2008 begonnen und hat bis September 2011 gedauert. 2011 habe ich auch den Anerkennungspreis des Landes Niederösterreich für Wissenschaft bekommen. (Siehe hier.) 

2011 bekam ich den START-Preis, dem prestige-trächtigsten Preis für junge Wissenschafter in Österreich (siehe unten).

2012 wurde ich zum Direktor des Instituts für Schallforschung ernannt.

2022 wurde ich zum Kassier der internationale Kommission für Akustik (ICA) ernannt.


START-Preis  FLAME

Im Jahr 2011 habe ich einen START-Preis für das Projekt 'Frames and Linear Operators for Acoustical Modeling and Parameter Estimation (FLAME)' bekommen.Dieses Projekt hat 2012 begonnen und läuft dankd er erfolgreichen Zwischen-Evaluierung (32015) bis 2018.

Presse-Spiegel:

OEAW
Universität Wien
Bericht im Standard
APA Zukunftsspiegel
Falter
Die Presse
Forschen und Entdecken



Curriculim Vitae (mit Publikationen) :
Mein Lebenslauf (Dezember 2022)

Research Gate Link

orcid.org/0000-0003-4939-0831

Studenten:


Editorenschaften:


Publications :

(siehe auch meine ArXiv-Seite.)
  1. P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; "Double Preconditioning for Gabor Frames”IEEE Transactions on Signal Processing, Vol. 54, No.12, December 2006, pp. 4597-4610 (2006) (link to preprint)
  2. P. Balazs, "Basic Definition and Properties of Bessel Multipliers", Journal of Mathematical Analysis and Applications, Vol. 325, Issue 1 , January 2007, pp. 571-585, (2007), doi:10.1016/j.jmaa.2006.02.012 (preprint on axiv)
  3. P. Majdak, P. Balazs, B.Laback, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions", Journal of the Audio Engineering Society , Vol. 55, No. 7/8, July/August 2007, pp. 623 - 637 (2007) permalink (link to preprint, for personal use only)
  4. P. Balazs, W. Kreuzer, H. Waubke, "A stochastic 2D-model for calculating vibrations in random layers", Journal of Computational Acoustics, Vol. 15, No. 3, pp. 271 - 283, September 2007
  5. P. Balazs, M. El-Gebeily, "A Systematic Study of Frame Sequence Operators and their Pseudoinverses", International Mathematical Forum Vol. 3, 2008, no. 5, pp.229 - 239, online journal edition, online paper
  6. P. Balazs, "Matrix Representation of Operators Using Frames", Sampling Theory in Signal and Image Processing (STSIP) Vol. 7, No. 1, Jan. 2008, pp. 39-54 (preprint on arxiv) DOI
  7. P. Balazs, "Hilbert-Schmidt Operators and Frames - Classification, Approximation by Multipliers and Algorithms" , International Journal of Wavelets, Multiresolution and Information Processing, Vol. 6, No. 2, pp. 315 - 330, March 2008 (preprint on arxiv), Codes and Pictures: here
  8. P. Balazs, "Frames and Finite Dimensionality: Frame Transformation, Classification and Algorithms", Applied Mathematical Sciences, Vol. 2, no. 41-44, pp. 2131-2144, (2008) (preprint on arxiv), Codes and Pictures: here
  9. P. Balazs, B. Laback, G. Eckel, W. Deutsch, "Time-Frequency Sparsity by Removing Perceptually Irrelevant Components Using a Simple Model of Simultaneous Masking", IEEE Transactions on Audio, Speech and Language Processing, Vol. 18 (1) , pp. 34-49, DOI (2010)   (link to preprint)
  10. D. Marelli, P. Balazs, "On Pole-Zero Model Estimation Methods Minimizing a Logarithmic Criterion for Speech Analysis", IEEE Transactions on Audio, Speech and Language Processing, Vol. 18 (2), pp. 237 - 248, DOI (2010)
  11. P. Balazs, J.-P. Antoine, A. Gryboś, "Weighted and Controlled Frames: Mutual Relationship and first Numerical Properties"International Journal of Wavelets, Multiresolution and Information Processing, Vol. 8 (1), pp. 109-132, DOI  (2010) (preprint on arxiv)
  12. A. Rahimi, P. Balazs, "Multipliers for  p-Bessel sequences in Banach spaces", Integral Equations and Operator Theory,  Vol. 68 (2), 193-205, DOI: 10.1007/s00020-010-1814-7,  (2010) (preprint on arxiv)
  13. W. Kreuzer, H. Waubke, G. Rieckh, P. Balazs, "A 3D Model to Simulate Vibrations in a Layered Medium with Stochastic Material Parameters", Journal of Computational Acoustics, Vol. 19 (2), pp.139-154 (2011)
  14. B. Laback, P. Balazs, T. Necciari, S. Savel,  S. Ystad, S. Meunier, R. Kronland-Martinet, "Additivity of auditory masking for short Gaussian-shaped sinusoids"The Journal of the Acoustical Society of America. Vol. 129, pp. 888-897 (2011)
  15. P. Balazs, D. Stoeva, J. P. Antoine, "Classification of General Sequences by Frame-Related Operators", Sampling Theory in Signal and Image Processing (STSIP), Vol. 10 (1-2), pp. 151-170 (2011) (preprint on arxiv)
  16. J. P. Antoine, P. Balazs, "Frames and Semi Frames", Journal of Physics A: Mathematical and Theoretical, Vol. 44 (20) Id. 205201 (2011) (preprint on arxiv)
  17. P. Balazs, C. Cabrelli, S. Heineken, U. Molter, "Frames by Multiplication", Current Development in Theory and Applications of Wavelets, Vol. 5 (2-3), pp. 165-186 (2011)  (preprint on arxiv)
  18. P. Balazs, M. Dörfler, N. Holighaus, F. Jaillet and G. Velasco, “Theory, Implementation and Application of Nonstationary Gabor Frames", Journal of Computational and Applied Mathematics,Vol. 236 (6), pp. 1481-1496, DOI (2011) (link to preprint)
  19. E. Enzinger, P. Balazs, "Speaker Verification using Pole/Zero Estimates of Nasals", Analele Universitatii "Eftimie Murgu", Vol. 18 (2), pp. 33-44 (2011)
  20. P. Balazs, G. Rieckh, "Oversampling Operators: Frame Representation of Operator", Analele Universitatii "Eftimie Murgu", Vol. 18 (1), pp. 107-114 (2011)
  21. G. Rieckh, W. Kreuzer, H. Waubke, P. Balazs, "A 2.5D-Fourier-BEM-model for vibrations in a tunnel running through layered anisotropic soil", Engineering Analysis with Boundary Elements, Vol. 36, pp. 960-967 (2012)
  22. P. Balazs, D. Bayer, A. Rahimi, "Multipliers for continuous frames in Hilbert spaces", Journal of Physics A: Mathematical and Theoretical, Vol. 45(24), Id. 244023 (2012)
  23. D. Stoeva, P. Balazs, "Invertibility of Multipliers", Applied and Computational Harmonic Analysis, Vol. 33 (2), pp. 292-299 DOI (2012)
  24. P. Soendergaard, B. Torresani, P. Balazs, "The Linear Time Frequency Analysis Toolbox"International Journal of Wavelets, Multiresolution and Information Processing, Vol. 10 (4), Id. 1250032 (2012) (link to preprint)
  25. J. P. Antoine, P. Balazs, "Frames, Semi-Frames, and Hilbert Scales", Numerical Functional Analysis and Optimization, Vol. 33(7-9), pp. 736-769 (2012) (preprint on arxiv)
  26. D. Stoeva, P. Balazs, "Canonical forms of unconditionally convergent multipliers", Journal of Mathematical Analysis and Applications, Vol. 399, pp. 252-259 (2013)  (preprint on arxiv)
  27. D. Stoeva, P. Balazs, "Detailed characterization of unconditional convergence and invertibility of multipliers", Sampling Theory in Signal and Image Processing (STSIP), Vol. 12 (2), pp. 87-125 (2013)  (preprint on arxiv)
  28. P. Balazs, M. Dörfler, M. Kowalski, B. Torrésani, "Adapted and adaptive linear time-frequency representations: a synthesis point of view"IEEE Signal Processing Magazine  (special issue: Time-Frequency Analysis and Applications),  Vol. 30 (6), pp. 20-31 (2013)
  29. B. Laback, T. Necciari, P. Balazs, S. Savel, and S. Ystad, "Simultaneous masking additivity for short Gaussian-shaped tones: Spectral effects", The Journal of the Acoustical Society of America, Vol. 134 (2) pp. 1160-1171 (2013)
  30. P. Balazs, D. Stoeva, "Representation of the inverse of a multiplier"Journal of Mathematical Analysis and Applications, Vol. 422 (2) pp. 981-994 (2015) (preprint on arxiv)
  31. M. Speckbacher, P. Balazs, "Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups", Journal of Physics A: Mathematical and Theoretical, Vol. 48 (39), Id. 395201 (2015) (preprint on arxiv)
  32. L. D. Abreu, P. Balazs, M. de Gosson, Z. Mouayn, "Discrete coherent states for higher Landau levels"Annals of Physics, Vol. 363 pp. 337-353 (2015) (preprint on arxiv)
  33. P. Balazs, D. Bayer, F. Jaillet, P. Søndergaard, "The Pole Behaviour of the Phase Derivative of the Short-Time Fourier Transform", Applied and Computational Harmonic Analysis, Vol. 40 (3), pp. 610-621 (2016(preprint on arxiv)
  34. D. Stoeva, P. Balazs, "On the dual frame induced by an invertible frame multiplier"Sampling Theory in Signal and Image Processing (STSIP), Vol. 15, pp. 119-130 (2016) (preprint on arxiv)
  35. T. Necciari, S. Savel, B. Laback, S. Meunier, P. Balazs, R. Kronland-Martinet, S. Ystad, "Auditory time-frequency masking for spectrally and temporally maximally-compact stimuli",  PLOS ONE, DOI (2016)
  36. Z. Průša, P. Balazs, P. L. Søndergaard, "A Non-iterative Method for (Re)Construction of Phase from STFT Magnitude"IEEE Transactions on Audio, Speech and Language Processing, Vol. 25 (5), pp. 1154 - 1164 (2017) (preprint on arxiv)
  37. M. Speckbacher, P. Balazs, "Reproducing pairs and Gabor systems at critical density", Journal of Mathematical Analysis and Applications, Vo. 455(2), pp. 1072-1087 (2017) (preprint on arxiv)
  38. M. Speckbacher, D. Bayer, S. Dahlke, P. Balazs "The $\alpha$-Modulation Transform: Admissibility, Coorbit Theory and Frames of Compactly Supported Functions", Monatshefte für Mathematik, Vo. 184 (1), pp. 133-169 (2017)  (preprint on arxiv)
  39. S. M. Zala, D. Reitschmidt, A. Noll, P. Balazs, D. J. Penn, "Automatic mouse ultrasound detector (A-MUD): A new tool for processing rodent vocalizations", PLOS ONE, DOI (2017)
  40. S. M. Zala, D. Reitschmidt, A. Noll, P. Balazs, D. J. Penn, "Sex-Dependent Modulation of Ultrasonic Vocalizations in House Mice (Mus musculus musculus)", PLOS ONE, DOI (2017)
  41. T. Necciari, N. Holighaus, P. Balazs, Z. Průša, P. Majdak, O. Derrien, "Audlet Filter Banks: A Versatile Analysis/Synthesis Framework using Auditory Frequency Scales", Applied Sciences, Vol. 8 (1), Id. 96 (2018) preprint on arxiv
  42. N. Perraudin, N. Holighaus, P. Soendergaard, P. Balazs, "Designing Gabor windows using convex optimization", Applied Mathematics and Computation, Vol. 330, pp. 266-287 (2018), preprint on arxiv
  43. N. Perraudin, N. Holighaus, P. Majdak, P. Balazs, "Inpainting of Long Audio Segments With Similarity Graphs", IEEE Transactions on Audio, Speech and Language Processing, Vol. 26(6), pp. 1079-1090 (2018), preprint on arxiv
  44. N. Holighaus, C. Wiesmeyr, P. Balazs, "Continuous warped time-frequency representations - Coorbit spaces and discretization", Applied and Computational Harmonic Analysis, Vol. 47 (3), pp. 975-1013 (2019), preprint on arxiv
  45. P. Balazs, H. Harbrecht, "Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing", Numerical Functional Analysis and Optimization, Vol. 40 (1), pp. 65-84 (2019), preprint on arxiv
  46. P. Balazs, M. Shamsabadi, A. Arefijamaal and A. Rahimi, "U-cross Gram matrices and their invertibility", Journal of Mathematical Analysis and Applications, Vol. 476 (2), pp. 367-390 (2019), preprint on arxiv.
  47. P. Balazs, S. Heineken, "An Operator Based Approach to Irregular Frames of Translates", Mathematics, Vol. 7 (5), 449 (special issue 'Harmonic Analysis', guest editor: H. G. Feichtinger) (2019), DOI
  48. P. Balazs, K. Gröchenig and M. Speckbacher, "Kernel Theorems in  Coorbit Theory", Transactions of the American Mathematical Society, Ser. B 6, pp. 346 - 364 (2019), preprint on arxiv, DOI
  49. M. Speckbacher, P. Balazs, "Frames, their relatives and reproducing kernel Hilbert spaces", Journal of Physics A: Mathematical and Theoretical, Vol. 53 (1), 015204 (2020), preprint on arxiv, DOI.
  50. M. Shamsabadi, A. Arefijamaal, P. Balazs, "The invertibility of U-fusion cross Gram matrices of operators", Mediterranean Journal of Mathematics, 17, article number: 130 (2020), preprint on arxiv
  51. S. Zala, D. Nicolakis, M. Marconi, A. Noll, P. Balazs, D. Penn, "Primed to vocalize: wild-derived male house mice alter the quantity and quality of their vocalizations after interacting with a female",  PLOS ONE Vol. 15 (12): e0242959 (2020)
  52. G. Tauböck. S. Rajbamshi, P. Balazs, "Dictionary Learning for Sparse Audio Inpainting", IEEE Journal of Selected Topics in Signal Processing, Special Issue on Reconstruction of audio from incomplete or highly degraded observations, Vol. 15 (1). pp. 104-119 (2021) DOI
  53. Z. Průša, N. Holighaus, P. Balazs, "Fast Matching Pursuit with Multi-Gabor Dictionaries", Transactions on Mathematical Software,  Vol. 47(1), Article No.: 24, pp 1–20, DOI (2021)
  54. P. Balazs, C. Kasess, W. Kreuzer, T. Maly, Z. Průša, F. Jaillet, "Anwendung von Rahmen-Multiplikatoren für die Extraktion von Kurvenquietschen von Zugsaufnahmen", e & i Elektrotechnik und Informationstechnik, 138, pp. 206–211 (2021), DOI
  55. P. Balazs, N. Teofanov, "Continuous frames in tensor product Hilbert spaces, localization operators and density operators", Journal of Physics A: Mathematical and Theoretical, Vol. 55(14), 145201, preprint on arxiv (2022), DOI 
  56. A. Novoselov, G. Bokelmann, P. Balazs, "SEDENOSS: SEparating and DENOising Seismic Signals with dual-path recurrent neural network architecture", Journal of Geophysical Research - Solid Earth, Vol. 127 (3) preprint, (2022) DOI
  57. P. Balazs, G. Bellomonte, H. Hosseinnezhad, "Frame-related Sequences in Chains and Scales of Hilbert Spaces", Axioms, Vol. 11(4), Special Issue: Time-Frequency Analysis, Distributions, and Operatorspreprint on arxiv (2022), DOI 
  58. R. Abbasi, P. Balazs, A. Marconi, D. Nicolakis, S. Zala, D. Penn, "Capturing the songs of mice with an improved detection and classification method for ultrasonic vocalizations (BootSnap)"PLOS Computational Biology, Vol. 18( 5): e1010049, preprint on biorxiv (2022) DOI
  59. L. D. Abreu, P. Balazs, S. Jaksic, "The affine ensemble: determinantal point processes associated with the ax+b group"Journal of the Mathematical Society of Japan, Vol. 75 (2), 469-483  preprint on researchgate (2023), DOI
  60. L. Köhldorfer, P. Balazs, "On the relation of the frame-related operators of fusion frame systems", Sampling Theory, Signal Processing, and Data Analysis Vol. 21, article number 9, preprint on arxiv,  (2023) DOI
  61. H.G. Feichtinger, P. Balazs, D. Haider, "Double Preconditioning for Gabor Frame Operators: Numerical and Functional Analytic Aspects", Applied and Computational Harmonic Analysis (ACHA) Vol. 66, 101-137 (2023), DOI
  62. P. Balazs, F. Bastianoni, E. Cordero, H. G. Feichtinger, N. Schweighofer, "Comparison between Fourier and STFT multipliers: the smoothing effect of the short-time Fourier transform", Journal of Mathematical Analysis and Applications Vol. 529 (1): 127579, preprint on arxiv (2024) DOI
  63. P. Balazs, M. Shamsabadi, A. Arefijamaal, G. Chardon, "Representation of Operators Using Fusion Frames", Applied and Computational Harmonic Analysis (ACHA)  Vol. 68:101596, preprint on arxiv (2024) DOI
  64. P. Balazs, D. Freeman, R. Popescu, M. Speckbacher, "Quantitative Bounds for Unconditional Pairs of Frames", Journal of Mathematical Analysis and Applications (JMAA) Vol. 531 (1 part 2), 127874, preprint on arxiv (2024), DOI
  65. R. Nenov, D.-K. Nguyen, P. Balazs, R. Bot, "Accelerated Griffin-Lim algorithm: A fast and provably converging numerical method for phase retrieval", IEEE Transactions on Signal Processing Vol. 72, 190-202, preprint on arxiv (2023) DOI
  66. L. D. Abreu, P. Balazs, N. Holighaus, F. Luef, M. Speckbacher, "Time-Frequency Analysis on Flat Tori and the Finite Gabor Transform",  Applied and Computational Harmonic Analysis (ACHA) Vol. 69, 101622, preprint on researchgate (2024) DOI
  67. D. Haider, V. Lostanlen, M. Ehler, P. Balazs, "Instabilities in Convnets for Raw Audio", IEEE Signal Processing Letters Vol. 31, 1084-1088, preprint on arxiv (2024) DOI
  68. P. Balazs, M. Shamsabadi, "An unbounded operator theory approach to lower frame and Riesz-Fisher sequences", Applied and Computational Harmonic Analysis (ACHA) Vol. 73, 101685, preprint on arxiv (2024) DOI
  1. G. Tauböck, S. Rajbamshi, P. Balazs, "Inpainting-basierte Signallückenrekonstruktion mit einer spärlichen Darstellung", EP3940696A1 pending (2021)
  1. T. Necciari, P. Balazs, R. Kronland-Martinet, S. Ystad, B. Laback, S. Savel, S. Meunier, "Auditory Time-Frequency Masking: Psychoacoustical Data and Application to Audio Representations", in Post proceedings of the 8th international Computer Music Modeling and Retrieval symposium (CMMR 2011). Bhubaneswar, India, Springer (2012)
  2. D. Stoeva and P. Balazs, "Riesz Bases Multipliers", in Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation, Birkhäuser, Vol. 236, H. Hedenmalm, M.A.  Kaashoek, A.Montes-Rodríguez and S.R. Treil, S. R. (Eds.) pp. 477-484 (2014) DOI
  3. Z. Prusa,P. Søndergaard, N. Holighaus, Ch. Wiesmeyr, and P. Balazs: "The Large Time Frequency Analysis Toolbox 2.0", in Sound, Music and Motion, O. Derrien, R. Kronland-Martinet, S. Ystad, and M. Aramaki (Eds.). Lecture Notes in Computer Science, Vol. 8905. Springer Berlin / Heidelberg, 1–2, (2014) Preprint
  4. P. Balazs, N. Holighaus, T. Necciari, D. Stoeva, "Frame Theory for Signal Processing in Psychoacoustics". In: Excursions in Harmonic Analysis Vol. 5, R. Balan, M. Dellatorre, J. J. Benedetto, W. Czaja, K. A. Okoudjou. (Ed.). Springer Berlin / Heidelberg (2017) preprint on arxiv.
  5. P. Balazs, K. Gröchenig, "The Guide to Localized Frames and Applications to Galerkin-like Representations of Operators", In: Frames and Other Bases in Abstract and Function Space, I. Pesenson, H. Mhaskar, A. Mayeli, Q. Le Gia and D.-X. Zhou (Eds.) Birkhäuser / Springer  preprint on arxiv (2017) DOI
  6. D. Stoeva, P. Balazs, "A survey on the unconditional convergence and the invertibility of multipliers with implementation", Sampling -- Theory and Applications (A Centennial Celebration of Claude Shannon), S. Casey, K. Okoudjou, M. Robinson and B. Sadler (Eds.), Applied and Numerical Harmonic Analýsis Series (ANHA), Springer, preprint on arxiv (2020) DOI
  7. L. Köhldorfer, P. Balazs, P. Casazza, S. Heineken, C. Hollomey, P. Morillas, M. Shamsabadi, "A Survey of Fusion Frames in Hilbert Spaces", Sampling, Approximation, and Signal Analysis (Harmonic Analysis in the Spirit of J. Rowland Higgins), S. Casey, M.  Dodson, J. Paulo, J. Ferreira and A. Zayed (Eds.) preprint on arxiv (2024) DOI
  1. P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; "Double Preconditioning for the Gabor Frame Operator”; Proceedings ICASSP '06, May 14-19, Toulouse, DVD (2006)
  2. D. Marelli,  M. Fu, P. Balazs, P and P. Majdak, "An Iterative Method for Approximating LTI Systems using Subbands", IEEE Conference on Acoustics, Speech, and Signal Processing, ICAASP08, March 30 - April 4, 2008
  3. P. Balazs, "Matrix Representation of Bounded Linear Operators By Bessel Sequences, Frames and Riesz Sequence", SAMPTA'09, Marseille, May 18-22, 2009
  4. F. Jaillet, P. Balazs, M. Dörfler, "Nonstationary Gabor Frames", SAMPTA'09, Marseille, May 18-22, 2009
  5. D. Stoeva and P. Balazs, “Weighted Frames and Frame Multipliers”, Proceedings of the International Conference UACEG2009: Science & Practice, 29-31 October 2009
  6. P. Majdak, P. Balazs, W. Kreuzer  and M. Dörfler, “A Time-Frequency Method for Increasing the Signal-To-Noise Ratio in System Identification with Exponential Sweeps”, ICASSP 2011, Prague, 2011
  7. E. Enzinger, P. Balazs, D. Marelli and T. Becker,”A Logarithmic Based Pole-Zero Vocal Tract Model Estimation for Speaker Verification” ICASSP 2011, Prague, 2011
  8. M. Liuni, P. Balazs, A. Röbel, "Sound Analysis and Synthesis Adaptive in Time and Two Frequency bands", Proc. of the 14th Int. Conference on Digital Audio Effects (DAFx-11), Paris, France, September 19-23, 2011 
  9. T. Necciari, P. Balazs, R. Kronland-Martinet, S. Ystad, B. Laback, S. Savel and S., Meunier (2012): "Perceptual optimization of Audio Representations Based on Time-Frequency Masking Data for Maximally-Compact Stimuli", in: Proceedings of the 45th AES conference on Applications of Time-Frequency Processing in Audio. Helsinki, Finland (2012)
  10. T. Necciari, P. Balazs, N. Holighaus, and P. Søndergaard, "The ERBlet Transform: An Auditory-Based Time-Frequency Representation with Perfect Reconstruction", Proceedings of the 38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP2013)
  11. N. Perraudin, N. Holighaus, P. Søndergaard, P. Balazs, "Gabor dual windows using convex optimization", Proceeedings of the 10th International Conference on Sampling theory and Applications (SAMPTA 2013)
  12. D. Bayer, P. Balazs, "(Non-)Density Properties of Discrete Gabor Multipliers", Proceeedings of the 10th International Conference on Sampling theory and Applications (SAMPTA 2013)
  13. P. Balazs, D. Stoeva, "A Review of the Invertibility of Frame Multipliers", Proceeedings of the 10th International Conference on Sampling theory and Applications (SAMPTA 2013)
  14. N. Perraudin, P. Balazs, P. Søndergaard, "A Fast Griffin-Lim Algorithm", 2013 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA 2013), DOI preprint
  15. Z. Průša, P. Søndergaard, N. Holighaus, P. Balazs, "LTFAT: A Matlab/Octave Toolbox for Sound Processing", Proceeedings of the 10th international Symposium on Computer Music Multidisciplinary Research (CMMR 2013)
  16. Z. Průša, P. Søndergaard, N. Holighaus, P. Balazs, "Real-Time Audio Processing in the Large Time Frequency Analysis Toolbox", Proceeedings of the 10th international Symposium on Computer Music Multidisciplinary Research (CMMR 2013)
  17. G. Chardon, T. Necciari, P. Balazs, "Perceptual matching pursuit with Gabor dictionaries and time-frequency masking"Proceedings of the 39th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014). Florence, Italy, pp. 3126-3130. (2014)
  18. N. Holighaus, P. Balazs, C. Wiesmeyr, "Time-frequency representations for nonlinear frequency scales - Coorbit spaces and discretization", 2015 International Conference on Sampling Theory and Applications (SampTA) (SampTA 2015), link IEEExplore
  19. D. Stoeva, P. Balazs "The dual frame induced by an invertible frame multiplier", 2015 International Conference on Sampling Theory and Applications (SampTA) (SampTA 2015), link IEEExplore
  20. O. Derrien, T. Necciari, P. Balazs, "A quasi-orthogonal, invertible, and perceptually relevant time-frequency transform for audio coding", EUSIPCO 2015, paper link,for codes see here.
  21. D. Stoeva, P. Balazs, "Commutative properties of invertible multipliers in relation to representation of their inverses", International Conference on Sampling Theory and Applications (SampTA), 2017, IEEExplore
  22. F. Huang,  P. Balazs, "Dictionary learning for pitch estimation in speech signals," 2017 IEEE 27th International Workshop on Machine Learning for Signal Processing (MLSP), Tokyo, 2017, IEEExplore
  23. G. Tauböck, S. Rajbamshi, P. Balazs, L. Abreu, "Random Gabor Multipliers and Compressive Sensing", SampTA 2019, 13th International Conference on Sampling Theory and Applications, Bordeaux, July 8-12. 2019
  24. P. Balazs,"'Banach frames and atomic decompositions in the space of bounded operators on Hilbert spaces", SampTA 2019, 13th International Conference on Sampling Theory and Applications, Bordeaux, July 8-12. 2019
  25. P. Balazs, H. Harbrecht, "Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing" (extended abstract), 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2019), August, 25.-30. 2019
  26. P. Balazs, M. Shamsabadi, A. Arefijamaal, "U-cross Gram matrices and their invertibility" (extended abstract), 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2019), August, 25.-30. 2019
  27. M. Shamsabadi, A. Arefijamaal, P. Balazs, "The invertibility of U-fusion cross Gram matrices of operators" (extended abstract), 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2019), August, 25.-30. 2019
  28. S. Rajbamshi, G. Tauböck, P. Balazs, L. Abreu, "Random Gabor Multipliers for Compressive Sensing: A Simulation Study", 2019 27th European Signal Processing Conference (EUSIPCO), Sept. 2.-6. 2019 DOI
  29. R. Abbasi, P. Balazs, A. Noll, D. Nocilakis, M. Marconi, D. Penn, S. Zala, "Applying convolutional neural networks to the analysis of mouse ultrasonic vocalizations", 23rd International Congress on Acoustics, Aachen, September 9.-13. 2019, DOI
  30. S. Rajbamshi, P. Balazs, N. Holihaus, "Adhoc method to Invert the Reassigned Time-Frequency Representation", 23rd International Congress on Acoustics, Aachen, September 9.-13. 2019, link
  31. F. Huang, P. Balazs, "Harmonic-aligned Frame Mask Based on Non-stationary Gabor Transform with Application to Content-dependent Speaker Comparison"Interspeech 2019, DOI
  32. D. Haider, P. Balazs, "Extraction of Rhythmical Features with the Gabor Scattering Transform", CMMR 2019: 14th International Symposium on Computer Music Multidisciplinary Research
  33. G. Tauböck, S. Rajbamshi, P. Balazs, "Sparse Audio Inpainting: A Dictionary Learning Technique to Improve Its Performance", in: AES Show Fall 2020, permalink
  34. Z. Průša, N. Holighaus, P. Balazs, "Accelerating Matching Pursuit for Multiplier Time-Frequency Dictionaries", in Proceedings of the 23rd International Conference on Digital Audio Effects (DAFx2020), permalink
  35. S. Rajmbamshi, G. Tauböck, N. Holighaus, P. Balazs, "Audio Inpainting via l1-Minimization and Dictionary Learning", in Proceeedings of the 29th European Signal Processing Conference (EUSIPCO2021).
  36. D. Haider, P. Balazs, N. Holighaus, "Phase-based Signal representations for Scattering", in Proceeedings of the 29th European Signal Processing Conference (EUSIPCO2021) DOI (2021) preprint on arxiv.
  37. C. H. Kasess, T. Maly, P. Balazs, W. Kreuzer, "Time-variant signal manipulation using frame multipliers". Euronoise Madeira, S. 673-682. (2021)
  38. P. Wojdyllo, P.Balazs, "Ancient Greek theatre - impulse response simulation" in Proceedings of the 2nd Symposium: The Acoustics of Ancient Theatres ,Verona (2022)
  39. R. Nenov, D.-K. Nguyen, P. Balazs, "Faster Than Fast: Accelerating The Griffin-Lim Algorithm" in ICASSP 2023: International Conference on Acoustics, Speech, and Signal Processing, Rhodes/GREECE (2023)
  40. D. Haider, P. Balazs, M. Ehler, "Convex Geometry of ReLU-layers, Injectivity on the Ball and Local Reconstruction" in Proceedings of the Fortieth Inertnational Conference on Machine Learning ICML, Honolulu (2023), preprint on arxiv
  41. S. Casey, P. Balazs, "Sampling and Frame Expansions for UWB Signals", in Fourteenth International Conference on Sampling Theory and Applications (SAMPTA), openreview (2023)
  42. D. Bytchenkoff, M. Speckbacher, P. Balazs, "Outer Kernel Theorem for Co-orbit Spaces of Localised Frames", in Fourteenth International Conference on Sampling Theory and Applications (SAMPTA), openreview (2023)
  43. V. Lostanlen, D. Haider, H. Han, M. Lagrange, P. Balazs, M, Ehler, "Fitting Auditory Filterbanks with Multiresolution Neural Networks", IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA) preprint on arxiv (2023) DOI
  44. P. Balazs, D. Haider, V. Lostanlen, F. Perfler, "Trainable signal encoders that are robust against noise", Inter-Noise 2024, Nantes (2024)
  45. D. Haider, F. Perfler, V. Lostanlen, M. Ehler, P. Balazs, "Hold Me Tight: Stable Encoder–Decoder Design for Speech Enhancement", Interspeech 2024, Kos Island (2024)
  46. R. Nenov , D. Haider , P. Balazs, "(Almost) Smooth Sailing: Towards Numerical Stability of Neural Networks Through Differentiable Regularization of the Condition Number", ICML 2024 Workshop on Differentiable Almost Everything: Differentiable Relaxations, Algorithms, Operators, and Simulators, Vienna, open review (2024)
  1.  P. Balazs, A. Noll, W.A.Deutsch, B.Laback; "Concept of the integrated signal analysis software system STX"; Poster ÖPG 2000 (proceedings CD)
  2.  P. Balazs, H. Waubke, W.A. Deutsch; "Phasenanalyse mit akustischen Anwendungsbeispielen"; DAGA 2003
  3.  H. Waubke, P. Balazs; "Verwendung der zeitliche Rücktransformation zur Berücksichtigung der Kausalität in Spektren mehrdimensionaler Fourier Transformationen"; DAGA 2003
  4.  H. Waubke, P. Balazs, B. Jilge, W. Kreuzer; “Waves in Random Layers with Arbitrary Covariance Functions”, 12th International Congress on Sound and Vibration, Lisbon , abstract, (2005)
  5. H. Waubke, W. Kreuzer, P. Balazs, "Ein 3D-Modell zur Berechnung der Ausbreitung von Erschütterungen in Bodenschichten", DAGA '06, 20.-23.März, Braunschweig (2006)
  6. W. Kreuzer, H. Waubke, P. Balazs, "Effiziente Implementierung eines stochastischen Modells zur Berechnung von Erschütterungen in Böden und Fluiden", DAGA '06, 20.-23.März, Braunschweig (2006)
  7. W. Kreuzer, H. Waubke, P. Balazs, "A 3D-stochastic model for simulating vibrations in soil layers"; Proceedings ICSV13, 13th International Congress on Sound and Vibration, July 2-6, 2006 (2006)
  8. P. Balazs, "Frame multiplier and irregular Gabor filters with application in time frequency masking"; Proceedings ICSV13, 13th International Congress on Sound and Vibration, July 2-6, 2006 (2006)
  9. P. Majdak, P. Balazs, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions"; 122nd AES Conference, 05.05.2007(2007)
  10. D. Marelli, P. Balazs, "A Zero-Pole Vocal Track Model Estimation Method Accurately Reproducing Spectral Zeros"; 122nd AES Conference, 05.05.2007 (2007)
  11. B. Laback, P. Balazs, G. Toupin, T. Necciari, S. Savel, S. Meunier, S. Ystad and R. Kronland-Martinet, "Additivity of auditory masking using Gaussian-shaped tones", Acoustics'08, Paris, 29.06.-04.07.2008 (03.07.2008)
  12. F. Jaillet, M. Dörfler, P. Balazs and N. Engelputzeder, "On the Structure of the Phase around the Zeros of the Short-Time Fourier Transform", 35th German Convention on Acoustics (DAGA 2009), Rotterdam, 23.- 26. March 2009.
  13. M. Dörfler, P. Balazs and F. Jaillet, "Removing Components from a Time-Frequency Representation", 35th German Convention on Acoustics (DAGA 2009), Rotterdam, 23.- 26. March 2009.
  14. G. Rieckh, P. Balazs and W. Kreuzer, "Frames and Acoustic BEM", in: Proceedings of the DAGA 2010. Berlin, CD-ROM. (2010)
  15. G. Rieckh, P. Balazs, W. Kreuzer and H. Waubke, "Frames for acoustic BEM", in: Proceedings of the INTERNOISE 2010. Lisbon, CD-ROM. (2010)
  16. W. Kreuzer, P. Balazs and D. Marelli, "Vokaltraktmodellierung unter Verwendung eines Pol-Nullstellen Modells", in : Tagungsband DAGA 2011, Düsseldorf, 21.03-24.03.2011 (2011)
  17. Z. Prusa, P. Søndergaard and P. Balazs, "The Large Time Frequency Analysis Toolbox: Wavelets", OctConf 2013, Milano, Italy (2013)
  18. P. Balazs, N. Holighaus, "LTFAT - Die Zeit-Frequenz Toolbox", in DAGA 2020 Tagungsband (2020)
  19. D. Haider, P. Balazs, N. Holighaus und L. Gutscher, "Zeit-Frequenz Darstellungen und Deep Learning", Fortschritte der Akustik - DAGA 2021 (2021)
  20. M. Shamsabadi und P. Balazs, "Domain Decomposition with Fusion Frames", Fortschritte der Akustik - DAGA 2021 (2021)
  21. R. Abbasi, P. Balazs, J. Spitzbart, B. Graf und N. Wallaszkovit, "A Quantitative Comparison of Traffic Noise During, Before and Long Before the Pandemic Using A-Posteriori Heuristic Calibration", Fortschritte der Akustik - DAGA 2021 (2021)
  22. H. Waubke, P. Balazs, L. Köhldorfer und A. Kranabetter, "PanDeNoise: Measurements before and during the lockdown at Zederhaus", Fortschritte der Akustik - DAGA 2021 (2021)
  23. R. Abbasi, P. Balazs, D.J. Penn und S.M. Zala, "Pitfalls of Using Feature-Based Classification for Mouse Ultrasonic Vocalizations", Fortschritte der Akustik - DAGA 2021 (2021)
  24. P. Balazs, G. Tauböck, S. Rajbamshi, N. Holighaus, "Audio Inpainting", Proceedings: A16, Numerical, Computational and Theoretical Acoustics ICA 2022 Gyeongju S. 186-189. (2022)
  25. G. Tauböck, S. Rajbamshi, P. Balats, "Random Time-varying Filtering with Subsampling", Proceedings: A16, Numerical, Computational and Theoretical Acoustics ICA 2022 Gyeongju S. 186-189. (2022)
  26. C. Hollomey, N. Holighaus, P. Balazs, "Music signal analysis in the Large Time Frequency Analysis Toolbox", Proceedings: A07, Musical Acoustics, ICA 2022  Gyeongju S. 98-104
  27. H. Eckert, D. Haider, M. Ehler, P. Balazs, "Invertibility of ReLU-layers: A Practical Approach", accepted for 16th International Conference on Neural Computation Theory and Applications (NCTA) 2024.

    Vorträge bei Konferenzen, Workshops und Seminaren (mit veröffentlichten Kurzfassungen):

  • several talks about STx (e.g. this one at Science Week 2001 or this one at an STx workshop (2000))
  • "Fourier Analysis"; talk at ARI (10.04.2002), presentation (large file size)
  • "MPEG-7 Today's Multimedia Standard"; AES Meeting 2002, presentation (large)
  • "STX: an application for harmonic analysis in psychoacoustics" ; HASSIP meeting, Marseilles 2002, abstract, presentation (very large)
  • "Masking, Maths, Marseille - An introduction to the phase vocoder, psychoacoustic masking and frame multipliers for the HASSIP minischool 2003 in Marseille"; HASSIP minischool on Non-linear and Adaptive Approximation December 1-5, 2003 (see HASSIP ), presentation
  • "STX : the software system of the ARI"; HASSIP minischool Marseille
  • “Double Preconditioning for the Gabor Frame Operator“, (25.01.2005), Mini Gabor-workshop Vienna
  • "Regular And Irregular Gabor Multipliers With Application To Psychoacoustic Masking",  (22.06.2005) Defensio
  • "Frame Multiplier", (26.01.2006)  Joint HASSIP/DFG-SPP1114 Workshop: "Recent Progress in Wavelet Analysis and Frame Theory", 23 - 26 January 2006, Bremen, Germany
  • "Matrix Representation of Operators Using Frames"Multiscale Methods, Sparse Decompositions and Parsimonious Statistics HASSIP06 workshop,  GSF-IBB, Neuherberg Munich, 11-14 September 2006
  • "New Concepts in Frame Theory Motivated by Acoustical Application", Habilitation Vortrag (29.06.2011), Fakultät für Mathematik, Universität Wien
  • "Dictionary Learning for Audio Inpainting", DMV-ÖMG Jahrestagung 2021, 27.09. bis 01.10. - Universität Passau
  • "Double Preconditioning for Gabor Frame Operators: Numerical and Functional Analysis Aspects", STROBL2022 , Strobl, 2022
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    h-index: 32 (Google Scholar), 29 (Research Gate), 26 (Scopus), 21 (Thomson).

    Citations: 3182 (Google Scholar), 2852 (Research Gate), 1913 (Scopus) , 1228 (Thomson).

    Meine mathematischen Vorfahren:  Gauß, Hilbert, Lipschitz, ... (siehe Mathematics Genealogy Project)

    Meine Erdös Nummer: 4 (Mit MathSciNet berechnet)

    Meine Zitate: (von Web of Science):
    Citations

    Some scientific links:

    EMIS ELibEMS: Mathematical Journals

    arXiv

    MathWorld


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    Java Tutorial


    Audio Engineering Society

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    © Peter Balazs