Mijail Guillemard
Reports
On the Construction of Non-Negative Dimensionality Reduction Methods. (S. Krause-Solberg, M. Guillemard, and A. Iske:) Sampling Theory in Signal and Image Processing 16, 2017, 23-36.
Interactions between Kernels, Frames, and Persistent Homology. (with A. Iske) in Novel Methods in Harmonic Analysis with Applications to Numerical Analysis and Data Processing. Book series Applied and Numerical Harmonic Analysis (ANHA), Springer. 2016.
An Overview of Groupoid Crossed Products in Dynamical Systems. Noncommutative Geometry and Optimal Transport, Contemp. Math., vol. 676, Amer. Math. Soc., Providence, RI, 2016, pp. 211-223.
Geometric Data Manipulation with Clifford Algebras and Möbius Transforms. (with A. Iske and U. Zoelzer) January 2015 (code) in Advances in Applied Clifford Algebras, 2015.
Adaptive Approximation Algorithms for Sparse Data Representation. (with Dennis Heinen, Armin Iske, Sara Krause-Solberg, Gerlind Plonka) in Extraction of Quantifiable Information from Complex Systems, Springer-Verlag, Berlin, 2014.
Signal Analysis with Frame Theory and Persistent Homology (with H. Boche, G.Kutyniok, and F. Philipp). SAMPTA (Bremen, Germany, 2013), 15 May 2013 (code)
Signal Recovery from Thresholded Frame Measurements. (with H. Boche, G.Kutyniok, and F. Philipp) Wavelets and Sparsity XV, SPIE Proc. 8858, SPIE, Bellingham, WA, 2013.
On Groupoid C*-algebras, Persistent Homology and Time-Frequency Analysis. (with Armin Iske) Hamburger Beiträge zur Angewandten Mathematik, Nr. 2011-17, September 2011.
Signal Filtering and Persistent Homology: An Illustrative Example. In Proc. SampTA2011 (with A. Iske) (Revision 14 Feb. 2011) (simulation, code)
Dimensionality Reduction Methods in Independent Subspace Analysis for Signal Detection. In Proc. SampTA2011 (with A. Iske and S. Krause-Solberg) (Revision 14 Feb. 2011) (code)
Algunas Aplicaciones de la Topologia Algebraica. In Aportaciones Matematicas, Soc. Mat. Mex. (with J. Gonzales) (28 Dec. 2010).
Symmetric Topological Complexity and Embedding Problems for Projective Spaces. In Oberwolfach Report 47. 12 Nov. 2010. (Revision 20 Dec. 2010).
Clifford Algebras and Dimensionality Reduction for Signal Separation and Classification. (with A. Iske and U. Zölzer) Hamburger Beiträge zur Angewandten Mathematik Nr. 2010-04. (code)
Curvature Analysis of Frequency Modulated Manifolds in Dimensionality Reduction. In Calcolo, DOI: 10.1007/s10092-010-0031-8. (with A. Iske) (Revision 16 June 2010) (code)
Analysis of High-Dimensional Data by Manifold Learning and Convolutions. In Proc. SAMPTA'09 (with A. Iske), May 2009.
Some Geometrical and Topological Aspects of Dimensionality Reduction in Signal Analysis. PhD Thesis, November 2011.
On Dimensional Reduction Techniques in Signal Processing and Applications in EMG Analysis. Diploma Thesis, June 2008.
Talks/Meetings
Talk (Invited) Clifford Algebras, Moebius Transformations and Simplicial Complexes, 2018 SIAM Annual Meeting (AN18), Portland Oregon, July 9-13 2018.
Talk (Invited) Some interactions of Clifford algebras and Moebius transforms in data analysis, ICCA11 Ghent, Belgium, 07-11 August 2017.
Talk (Invited) Topological features in signal processing using frame theory and persistent homology. Acoustics '17 Boston, 25-29 June 2017.
Topos à l'IHES Paris, 23-27 November 2015.
Talk(invited) DMV Jahrestagung, Persistent Homology, Signal Processing and Noncommutative Algebras, Hamburg, 23 September 2015.
International Conference on Automated Deduction FU-Berlin, 1-7 August 2015.
Talk: Applications of Approximately Finite Algebras and Clifford Algebras. Freie Universitaet Berlin. Friday 17 July 2015 BMS Workshop.
Talk (Invited). AF-Algebras and High Dimensional Moebius Transformations for Data Analysis. AG-Seminar, University of Hamburg. 6 July 2015.
Talk. On Noncommutative Algebras in Data Analysis. Noncommutative Algebras and Applications (NCAA). Goslar. 14-16 June 2015.
Talk: Some tools from Geometry and Topology in Data Analysis, at the Freie Universitaet Berlin, Friday 5 December 2014 BMS Workshop.
Noncommutative Geometry meeting, November 27-29, 2014, Besançon, France
Talk (Invited): Some topological aspects of C*algebras in signal processing (PDF, 203,7 KB). RTG 1493 Colloquium, Georg-August-Universität Göttingen, July 3, 2014
Talk: Signal Analysis with Frame Theory and Persistent Homology Sampta Conference 2013 Bremen, July 1-5, 2013.
Talk (Invited): “Groupoids C∗-algebras and Noncommutative Lattices in Signal Processing". Quantum Geometry and Matter. Trieste, April 8-12, 2013
Talk (Invited) Persistent Homology and Applications to Image Processing GAMM Conference 2013 Serbia, March 18-22, 2013.
Talk (Invited): “Groupoid Crossed Products and AF-Algebras in Time-Frequency Analysis”. ESI12 Modern Methods of Time-Frequency Analysis II Workshop [W5] Operator algebras and time-frequency methods 19-23 NOV 2012, Erwin Schroedinger Institute (Univ. Vienna)
Talk: "New Trends in Computational Topology and Signal Processing". Workshop, "Advances in Mathematical Image Processing", Waldschloesschen, Goettingen, September 04-06, 2012
SeisMath 2012, L'Aquila, ITALY. 8-Hours Lecture (Invited) "Modern Methods in Dimensionality Reduction and Persistent Homology for Signal and Data Analysis" August 27 - 31, 2012.
Talk (Invited): Noncommutative C*-Algebras in Time-Frequency Analysis, 19.06.2012. Seminar Arbeitsgruppe Funktionalanalysis Operatoralgebren und Nichtkommutative Geometrie, Mathematisches Institut Westfälische Wilhelms-Universität Münster. .
Talk (Invited): "Topological Aspects in Time-Frequency Analysis". Oberwolfach-Workshop “Applied Harmonic Analysis and Sparse Approximation”, Oberwolfach, 11.6.–15.6.2012.
Talk (Invited) HIM Trimester Program: Workshop on Manifold Learning Bonn, Germany. 30 May - 3 June 2011. Abstract Slides
SAMPTA'11: International Conference on Sampling Theory and Applications Singapore. 2-6 May 2011. Abstract
SPP-JT09: Second Annual Meeting of SPP 1324: 27-29 October 2010. Abstract
Oberwolfach Arbeitsgemeinschaft 1041 10-16 October 2010. Slides
ATMCS 4. Algebra and Topology: Methods, Computation, and Science. Münster, Germany. 21-25 June 2010.
Rhein-Ruhr-Workshop 2010 Burg Gemen. 12-13 Februar 2010. Abstract
SPP-JT09: First Annual Meeting of SPP 1324: ZIB, Berlin, 5-6 November 2009.
NOKO-2009: 30. Norddeutsches Kolloquium über Angewandte Analysis und Numerische Mathematik, Göttingen, 5-6 Juni, 2009 Slides