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TIT
2016
53views Education» more  TIT 2016»
10 years 14 days ago
On Asymptotic Incoherence and Its Implications for Compressed Sensing of Inverse Problems
Recently, it has been shown that incoherence is an unrealistic assumption for compressed sensing when applied to infinite-dimensional inverse problems. Instead, the key property ...
Alexander Daniel Jones, Ben Adcock, Anders C. Hans...
TIT
2016
38views Education» more  TIT 2016»
10 years 14 days ago
Sampling and Reconstruction of Operators
We study the recovery of operators with bandlimited Kohn-Nirenberg symbol from the action of such operators on a weighted impulse train, a procedure we refer to as operator sampli...
Götz E. Pfander, David Francis Walnut
TIT
2016
55views Education» more  TIT 2016»
10 years 14 days ago
Folding Alternant and Goppa Codes With Non-Trivial Automorphism Groups
The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alte...
Jean-Charles Faugère, Ayoub Otmani, Ludovic...
TIT
2016
50views Education» more  TIT 2016»
10 years 14 days ago
Non-Negative Principal Component Analysis: Message Passing Algorithms and Sharp Asymptotics
Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and ...
Andrea Montanari, Emile Richard