Description
The topics of this school are coherent states, wavelets and their applications (signal/image processing via Gabor and wavelet analysis, inverse problems, approximation theory), plus necessary concepts of functional analysis and group theory. Coherent states and wavelets are two topics that have undergone a tremendous development in the last years, it is an extremely active domain. They have applications in a huge number of domains of physics, mathematics and engineering. This school, that will present many of the topflight experts in the field, will enable young scientists to catch on that fascinating topic and obtain a knowledge suitable for performing top level research. We plan to go from the basic aspects to up-to-date developments and also to cover some of the most exciting applications, such as inverse problems, analysis of geophysical, astronomical or biological (genome) signals. 
Coherent states and wavelets are domains where top level research can be done in small, somewhat isolated places, contray to high energy physics, for instance. They are based on beautiful (also applied) mathematics and have applications in a huge variety of domains. In addition, they allow to perform excellent research with small computing equipments, which make them suitable for researchers from developing countries. 

The Main Topics 
 
● Basic theory of coherent states, in particular the group-theoretical background 
● Gabor analysis with applications 
● Wavelet analysis, both continuous and discrete, with applications 
● Recent developments, such as curvelets, shearlets, compressed sensing, co-orbit theory or 
wavelets on graphs
Go to day
  • Monday, 2 June 2014
    • 08:30 - 17:00
      • 08:30 Registration and Administrative Matters 1h15' ( Leonardo da Vinci Building, Lobby )
        After you have registered with the activity secretary:  - ADMINISTRATIVE FORMALITIES (daily living allowances/travel reimbursements, bank transactions, etc.) at the Operations Office, E. Fermi Building - just above the Leonardo Da Vinci Bldg.  - MEAL COUPONS: balance will be issued by the Guesthouse Receptions one day after the on-line registration is completed according to the following timetables: Galileo Guesthouse: Tuesday to Friday 10.00-12.00 & 13.00-15.00 Adriatico Guesthouse: Tuesday To Friday 13.00-15.00
      • 09:45 Welcoming Remarks 15' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: Directors of School
        Material: Video
      • 10:00 A unified perspective on wavelets and coherent states 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali (Concordia Univ., Montreal, Canada)
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Coherent states, POVM, quantization and measurement 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Gazeau (U. Paris 7, France)
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 What can we learn on genome structure and function from a wavelet-based multi-scale analysis of genomic and epigenetic data 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo (ENS, Lyon, France)
        Material: Video lecture notes
      • 15:30 Wavelets and coherent structures in turbulence 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Farge (ENS, Paris, France)
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
  • Tuesday, 3 June 2014
    • 09:00 - 21:00
      • 09:00 Wavelets and multiresolution : from NMR spectroscopy to motion analysis 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Antoine
        Material: Video lecture notes
      • 10:00 A unified perspective on wavelets and coherent states contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 A survey of uncertainty principles, in continuous and discrete settings 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: B. Torrésani (LATP-U., Marseille, France)
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 What can we learn on genome structure and function from a wavelet-based multi-scale analysis of genomic and epigenetic data contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video lecture notes
      • 15:30 Wavelets and coherent structures in turbulence contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M.Farge
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Discussion Session 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
      • 19:00 Official Reception 2h0' ( Leonardo da Vinci Building Terrace )
  • Wednesday, 4 June 2014
    • 09:00 - 18:00
      • 09:00 A unified perspective on wavelets and coherent states contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali
        Material: Video lecture notes
      • 10:00 A survey of uncertainty principles, in continuous and discrete settings contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: B. Torrésani
        Material: Video
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Coherent states, POVM, quantization and measurement contd. 2 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Gazeau
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Main Lecture Hall )
      • 14:30 What can we learn on genome structure and function from a wavelet-based multi-scale analysis of genomic and epigenetic data contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video
      • 15:30 Wavelets and coherent structures in turbulence contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Farge
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 A unified perspective on wavelets and coherent states contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali
        Material: Video
  • Thursday, 5 June 2014
    • 09:00 - 18:00
      • 09:00 A unified perspective on wavelets and coherent states contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali
        Material: Video lecture notes
      • 10:00 A survey of uncertainty principles, in continuous and discrete settings contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: B. Torrésani
        Material: Video
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Coherent states, POVM, quantization and measurement contd.3 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Gazeau
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 A unified perspective on wavelets and coherent states contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali
        Material: Video
      • 15:30 Generalized wavelet expansion of sparse stochastic processes 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Unser (EPFL, Lausanne, Switzerland)
        Material: Video
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Coherent states, POVM, quantization and measurement contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Gazeau
        Material: Video
  • Friday, 6 June 2014
    • 09:00 - 18:00
      • 09:00 A unified perspective on wavelets and coherent states contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. T. Ali
        Material: Video
      • 10:00 Generalized wavelet expansion of sparse stochastic processes contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Unser
        Material: Video
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Coherent states, POVM, quantization and measurement contd.4 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Gazeau
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Main Lecture Hall )
      • 14:30 Generalized wavelet expansion of sparse stochastic processes contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Unser
        Material: Video
      • 15:30 A survey of uncertainty principles, in continuous and discrete settings contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: B. Torrésani
        Material: Video
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Discussion Session 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
  • Monday, 9 June 2014
    • 10:00 - 18:00
      • 10:00 Motion analysis with the Continuous Wavelet Transform contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J-P. Antoine (UCL., Louvain La Neuve, Belgium)
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 What can we learn on genome structure and function from a wavelet-based multi-scale analysis of genomic and epigenetic data 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Frames and operators 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: O. Christensen (T.U. Denmark)
        Material: Video
      • 15:30 Group-theoretic methods for the design and analysis of higher- dimensional wavelet systems 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Führ (RWTH, Aachen, Germany)
        Material: Video lecture notes
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Wavelet techniques for the imaging of the dynamics of living cells 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: F. Argoul (ENS, Lyon, France)
        Material: Video lecture notes
  • Tuesday, 10 June 2014
    • 10:00 - 17:45
      • 10:00 What can we learn on genome structure and function from a wavelet-based multi-scale analysis of genomic and epigenetic data? contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Group-theoretic methods for the design and analysis of higher- dimensional wavelet systems contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Führ
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Frames and operators contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: O. Christensen
        Material: Video
      • 15:30 Wavelet-based multifractal analysis of dynamic IR thermograms and X ray mammograms to assist in early breast cancer diagnosis 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video lecture notes
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Cellular mechanics is a multi scaling phenomena: a few examples 45' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: F. Argoul
        Material: Video lecture notes
  • Wednesday, 11 June 2014
    • 09:00 - 17:00
      • 09:00 Wavelet-based multifractal analysis of dynamic IR thermograms and X ray mammograms to assist in early breast cancer diagnosis contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video
      • 10:00 Group-theoretic methods for the design and analysis of higher- dimensional wavelet systems contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Führ
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Wavelet-based multifractal analysis of dynamic IR thermograms and X ray mammograms to assist in early breast cancer diagnosis contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: A. Arnéodo
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Frames and operators contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: O. Christensen
        Material: Video
      • 15:30 Discussion Session 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
  • Thursday, 12 June 2014
    • 09:00 - 18:00
      • 09:00 From linear algebra to Banach Gelfand Triples 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger (NuHAG, U. Vienna, Austria)
        Material: Video
      • 10:00 Group-theoretic methods for the design and analysis of higher- dimensional wavelet systems contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Führ
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 From linear algebra to Banach Gelfand Triples contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Introduction to compressive sensing 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Rauhut (RWTH Aachen Univ., Germany)
        Material: Video
      • 15:30 Introduction to compressive sensing contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Rauhut
        Material: Video
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Discussion Session 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
  • Friday, 13 June 2014
    • 09:00 - 18:00
      • 09:00 From linear algebra to Banach Gelfand Triples contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger
        Material: Video
      • 10:00 Group-theoretic methods for the design and analysis of higher- dimensional wavelet systems contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Führ
        Material: Video
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Introduction to compressive sensing contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Rauhut
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 From linear algebra to Banach Gelfand Triples contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger
        Material: Video
      • 15:30 Area preserving maps and the associated wavelet analysis 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: D. Rosca (UT, Cluj Napoca, Romania)
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Introduction to compressive sensing contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Rauhut
        Material: Video
  • Monday, 16 June 2014
    • 09:00 - 18:00
      • 09:00 Numerical aspects of Gabor analysis 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger
        Material: Video
      • 10:00 The state of the art in shearlet coorbit space theory 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. Dahlke (Univ. Marburg, Germany)
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Main Lecture Hall )
      • 11:30 From linear algebra to Banach Gelfand Triples (contd) 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Wavelet techniques in multifractal analysis 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. Jaffard (U. Paris-Est, Créteil, France)
        Material: Video lecture notes
      • 15:30 An application of wavelets, curvelets and shearlets to X-ray processing for art conservation 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: I. Daubechies (Duke Univ., Durham, NC, USA)
        Material: Video lecture notes
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Quantizing compressed sensing: From high resolution to 1-bit quantization schemes 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: L. Jacques (UCL, Louvain-la-Neuve, Belgium)
        Material: Video lecture notes
  • Tuesday, 17 June 2014
    • 09:00 - 18:00
      • 09:00 Numerical aspects of Gabor analysis contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: H. Feichtinger
        Material: Video
      • 10:00 The state of the art in shearlet coorbit space theory contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. Dahlke
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Wavelet techniques in multifractal analysis contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. Jaffard
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Quantizing compressed sensing: From high resolution to 1-bit quantization schemes contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: L. Jacques
        Material: Video
      • 15:30 An application of wavelets, curvelets and shearlets to X-ray processing for art conservation (contd) 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: I. Daubechies
        Material: Video lecture notes
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Discussion Session 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
  • Wednesday, 18 June 2014
    • 09:00 - 18:00
      • 09:00 Inverse problems: optimization, algorithms and applications 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. Mélot (LATP-U., Marseille, France)
        Material: Video
      • 10:00 The state of the art in shearlet coorbit space theory contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. Dahlke
        Material: Video
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Sparsity for big data 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. De Mol (ULB, Brussels, Belgium)
        Material: lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Inverse problems: optimization, algorithms and applications contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. Mélot
        Material: Video
      • 15:30 Wavelet techniques in multifractal analysis contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: S. Jaffard
        Material: Video
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Numerical algorithms for sparse recovery 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: I. Loris (ULB, Brussels, Belgium)
        Material: Video lecture notes
  • Thursday, 19 June 2014
    • 09:00 - 18:00
      • 09:00 Inverse problems: optimization, algorithms and applications contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. Mélot
        Material: Video
      • 10:00 Sparsity for big data contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. De Mol
        Material: lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Numerical algorithms for sparse recovery contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: I. Loris
        Material: Video lecture notes
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:30 Coherent states, (discrete) frames and sampling on manifolds: Theory 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J. Guerrero (Univ. Murcia, Spain)
        Material: Video lecture notes
      • 15:30 Coherent states, (discrete) frames and sampling on manifolds: Applications 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Calixto (Univ. Granada, Spain)
        Material: Video lecture notes
      • 16:30 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 17:00 Inverse problems: optimization, algorithms and applications contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. Mélot
        Material: Video
  • Friday, 20 June 2014
    • 09:00 - 17:35
      • 09:00 Inverse problems: optimization, algorithms and applications contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. Mélot
        Material: Video
      • 10:00 Coherent states and wavelets on manifolds: Modular wavelets 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: J. Guerrero
        Material: Video lecture notes
      • 11:00 Coffee Break 30' ( Leonardo da Vinci Building Terrace )
      • 11:30 Coherent states and wavelets on manifolds: Conformal wavelets 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: M. Calixto
        Material: Video
      • 12:30 Lunch Break 2h0' ( Leonardo da Vinci Building Cafeteria )
      • 14:20 TWAS Film 45' ( Leonardo da Vinci Building Main Lecture Hall )
      • 15:05 Sparsity for big data contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. De Mol
      • 16:05 Inverse problems: optimization, algorithms and applications contd. 1h0' ( Leonardo da Vinci Building Main Lecture Hall )
        Speaker: C. Mélot
        Material: Video
      • 17:05 Concluding Remarks and Distribution of Diplomas 30' ( Leonardo da Vinci Building Main Lecture Hall )