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SUMMARY:Sandra Saliani (Università degli Studi della Basilicata)
DTSTART:20220420T160000Z
DTEND:20220420T170000Z
DTSTAMP:20260423T052623Z
UID:HAeS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/32/">Sp
 ectral graph transforms: wavelets\, frames\, and open problems</a>\nby San
 dra Saliani (Università degli Studi della Basilicata) as part of Harmonic
  analysis e-seminars\n\n\nAbstract\nClassical transforms\, as Fourier\, wa
 velet\, wavelet packets and time-frequency dictionaries  have been general
 ized to functions defined on finite\, undirected graphs\, where the connec
 tions between vertices are encoded by the Laplacian matrix.\n\nDespite wor
 king in a finite and discrete environment\, many problems arise in applica
 tions where the graph is very large\, as it is not possible to determine a
 ll the eigenvectors of the Laplacian explicitly. For example\, in the case
  of our interest: a voxel-wise brain graph $\\mathcal{G}$ with $900760$ no
 des (representing the brain voxels)\, and signals given by the fRMI (funct
 ional magnetic resonance imaging).\n\nAfter an overview of the methods and
  of the open problems\, we present  a new method to generate frames of wav
 elet packets defined in the graph spectral domain to represent signals on 
 finite graphs.\n\n\nJoint work  with Iulia Martina  Bulai.\n
LOCATION:https://researchseminars.org/talk/HAeS/32/
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