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» On discrete norms of polynomials
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ECCC
2007
71views more  ECCC 2007»
15 years 6 months ago
Inverse Conjecture for the Gowers norm is false
Let p be a fixed prime number, and N be a large integer. The ’Inverse Conjecture for the Gowers norm’ states that if the ”d-th Gowers norm” of a function f : FN p → F i...
Shachar Lovett, Roy Meshulam, Alex Samorodnitsky
ICDM
2008
IEEE
160views Data Mining» more  ICDM 2008»
16 years 13 days ago
Direct Zero-Norm Optimization for Feature Selection
Zero-norm, defined as the number of non-zero elements in a vector, is an ideal quantity for feature selection. However, minimization of zero-norm is generally regarded as a combi...
Kaizhu Huang, Irwin King, Michael R. Lyu
CDC
2010
IEEE
147views Control Systems» more  CDC 2010»
14 years 9 months ago
Partial pole placement with minimum norm controller
— The problem of placing an arbitrary subset (m) of the (n) closed loop eigenvalues of a nth order continuous time single input linear time invariant(LTI) system, using full stat...
Subashish Datta, Balarko Chaudhuri, Debraj Chakrab...
SIAMMAX
2010
103views more  SIAMMAX 2010»
15 years 23 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