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SIAMMAX
2010
103views more  SIAMMAX 2010»
15 years 27 days ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
174
Voted
INFOCOM
2012
IEEE
13 years 8 months ago
Jointly optimal bit loading, channel pairing and power allocation for multi-channel relaying
Abstract—We aim to enhance the end-to-end rate of a general dual-hop relay network with multiple channels and finite modulation formats, by jointly optimizing channel pairing, p...
Mahdi Hajiaghayi, Min Dong, Ben Liang
STOC
2004
ACM
150views Algorithms» more  STOC 2004»
16 years 6 months ago
Typical properties of winners and losers in discrete optimization
We present a probabilistic analysis for a large class of combinatorial optimization problems containing, e.g., all binary optimization problems defined by linear constraints and a...
René Beier, Berthold Vöcking
168
Voted
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
15 years 11 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
ICS
2010
Tsinghua U.
16 years 3 months ago
Space-Efficient Estimation of Robust Statistics and Distribution Testing
: The generic problem of estimation and inference given a sequence of i.i.d. samples has been extensively studied in the statistics, property testing, and learning communities. A n...
Steve Chien, Katrina Ligett, Andrew McGregor