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» A probabilistic and RIPless theory of compressed sensing
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CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 4 months ago
A probabilistic and RIPless theory of compressed sensing
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a ...
Emmanuel J. Candès, Yaniv Plan
MP
2011
12 years 11 months ago
Null space conditions and thresholds for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in machine learning, control theory, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
14 years 4 months ago
The price of privacy and the limits of LP decoding
This work is at the intersection of two lines of research. One line, initiated by Dinur and Nissim, investigates the price, in accuracy, of protecting privacy in a statistical dat...
Cynthia Dwork, Frank McSherry, Kunal Talwar
CDC
2008
IEEE
145views Control Systems» more  CDC 2008»
13 years 4 months ago
Necessary and sufficient conditions for success of the nuclear norm heuristic for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi