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cs.IT2017★ 51 cited
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE
Giovanni S. Alberti, Matteo Santacesaria
We consider a compressed sensing problem in which both the measurement and the sparsifying systems are assumed to be frames (not necessarily tight) of the underlying Hilbert space…
cs.IT2016
Lossless Linear Analog Compression
Giovanni Alberti, Helmut Bölcskei, Camillo De Lellis +2
We establish the fundamental limits of lossless linear analog compression by considering the recovery of random vectors from the noisele…