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Tractable fitting with convex polynomials via sum-of-squares
via sum-of-squares Tractable fitting
2015/6/19
We consider the problem of fitting given data with a convex polynomial. A technique to solve this problem using sum of squares polynomials is presented. This technique is extended to enforce convexity...
Sum of Squares of Degrees in a Graph
Graph Degree sequence Threshold graph Pell's Equation Partition Density
2010/4/16
Let be the set of all simple graphs with vertices and edges and let denote the sum of the squares of the degrees, , of the vertices of . It is known that the maximum value of for occurs at on...
Inequalities Between the Sum of Squares and the Exponential of Sum of a Nonnegative Sequence
Inequality Sum of square Exponential of sum Nonnegative sequence Critical point Extremal point Open problem
2008/7/1
Inequalities Between the Sum of Squares and the Exponential of Sum of a Nonnegative Sequence.
Refinements of Inequalities Between the Sum of Squares and the Exponential of Sum of a Nonnegative Sequence
Inequality Exponential of sum Nonnegative sequence Normal random variable
2010/1/22
Using probability theory methods, the following sharp inequality is established: where , and for . Upon taking in the above inequality, the inequalities obtained in [F. Qi, Inequalities be...