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Approximation Bounds for Sparse Principal Component Analysis
Sparse PCA convex relaxation semidefinite programming approximation bounds detection
2012/5/9
We produce approximation bounds on a semidefinite programming relaxation for sparse principal component analysis. These bounds control approximation ratios for tractable statistics in hypothesis testi...
Lower Bounds on the Performance of Analog to Digital Converters
Lower Bounds Performance Analog Digital Converters
2012/4/16
This paper deals with the task of finding certified lower bounds for the performance of Analog to Digital Converters (ADCs). A general ADC is modeled as a causal, discrete-time dynamical system with o...
Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
modulus of continuity uncentered Hardy-Littlewood maximal function
2010/12/1
We obtain sharp bounds for the modulus of continuity of the uncentered maxi-mal function in terms of the modulus of continuity of the given function, via integral formulas.
On optimal asymptotic bounds for spherical designs
spherical designs fixed point theorems Marcinkiewicz–Zygmund inequality area-regular partitions
2010/12/10
For each N ≥ cdtd we prove the existence of a spherical t-design on the sphere Sd consisting of N points, where cd is a constant depending only on d. This result proves the well-known conjecture of Ko...