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A Fully Polynomial Approximation Scheme for Approximating a Sum of Random Variables
Threshold probability Tail probability Approximate counting Counting knapsack FPTAS
2016/1/22
Given n independent integer-valued random variables X 1 , X 2 ,..., X n and an integer C, we study the fundamental problem of computing the probability that the sum X = X 1 + X 2 +···+ X n is at most ...
On the Sum Capacity of A Class of Cyclically Symmetric Deterministic Interference Channels
Sum Capacity Class Cyclically Symmetric Deterministic Interference Channels
2015/8/17
Certain deterministic interference channels have been shown to accurately model Gaussian interference channels in the asymptotic low-noise regime.
Tractable fitting with convex polynomials via sum-of-squares
Set data the sum of squares polynomial convex piecewise polynomial piecewise polynomial set
2015/8/10
We consider the problem of fitting given data(u1, y1),...,(um, ym) where ui ∈ Rn and yi ∈ R with a convex polynomial f. A technique to solve this problem using sum of squares polynomials is pres...
Smoothed state estimates under abrupt changes using sum-of-norms regularization
State estimation Impulsive disturbance Load disturbance Smoothing Sparsity Regularization Change detection
2015/8/7
The presence of abrupt changes, such as impulsive and load disturbances, commonly occur in applications,but make the state estimation problem considerably more difficult than in the standard setting w...
Proving the Integrity of the Weighted Sum Squared Error (WSSE) Loran Cycle Confidence Algorithm
Proving Integrity Squared Error (WSSE) Loran Cycle Confidence Algorithm
2015/6/25
For Loran to provide redundancy to GPS for aviation,Loran must meet aviation integrity requirements. The integrity under nominal conditions derives from being able to bound the horizontal position err...
Assessing the accuracy of the isotropic periodic sum method through Madelung energy computation
isotropic periodic sum method Madelung energy computation
2015/1/7
We tested the isotropic periodic sum (IPS) method for computing Madelung energies of ionic crystals. The performance of the method, both in its nonpolar (IPSn) and polar (IPSp) forms, was compared wit...
The Coulomb sums S_L(q) of the 6^Li nucleus have been obtained from electron scattering measurements at 3-momentum transfers q = 1.125 - 1.625 fm^{-1}. It is found that at q > 1.35 fm^{-1} the Coulomb...
10 Gb/s visible source based on sum frequency generation
visible source sum frequency generation
2015/7/30
We report the generation of a 10 Gb/s source at 639nm with applications in characterizing multimode plastic optical fiber systems, obtained via sum frequency generation in a PPLN crystal.