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[PDF] Top 20 Some approximation schemes in polynomial optimization

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Some approximation schemes in polynomial optimization

Some approximation schemes in polynomial optimization

... example in [Wyn70] and ...developed in [MYZ15]. In the latter paper, the construction of an optimal design is performed in two ...steps. In the first step one only deals with an ... Voir le document complet

107

Approximating min-max (regret) versions of some polynomial problems

Approximating min-max (regret) versions of some polynomial problems

... regret, approximation, fptas, shortest path, min- imum spanning ...combinatorial optimization problem requires to specify parameters, in particular objective function coefficients, which may be ... Voir le document complet

10

On inhomogeneous diophantine approximation with some quasi-periodic expressions, II

On inhomogeneous diophantine approximation with some quasi-periodic expressions, II

... M(e’/-’, 1/2) = 1/8 and M(eI/8, 1/3) =0if~=2 (mod 3); 1/18 otherwise. Then, what is the condition such that ,Jt~l (9, ~) - 0 holds? It seems that a non-constant polynomial in a quasi-periodic part ... Voir le document complet

15

Exponential approximation schemata for some network design problems

Exponential approximation schemata for some network design problems

... obtained in [2] where the Hamiltonian cycle problem is solved in O ∗ ...with polynomial space, the best running time known so far for traveling salesman problem is O ∗ (4 n n log n ) reached by the ... Voir le document complet

12

Sparse polynomial approximation of parametric elliptic PDEs Part II: lognormal coefficients *

Sparse polynomial approximation of parametric elliptic PDEs Part II: lognormal coefficients *

... for some β > 1 2 , which still represents an improvement over the condition in ...representations, in terms of the resulting summability properties of (ku ν k V ) ν∈F ... Voir le document complet

29

Cone-Copositive Lyapunov Functions for Complementarity Systems: Converse Result and Polynomial Approximation

Cone-Copositive Lyapunov Functions for Complementarity Systems: Converse Result and Polynomial Approximation

... answered in the affirmative for exponentially stable systems. Some refinements of this result, under certain conditions on the vector field in the system dynamics, allow us to restrict our search for ... Voir le document complet

26

Approximation algorithms for some vehicle routing problems

Approximation algorithms for some vehicle routing problems

... a k+1 k − ε standard approximation for Min-Max b n k cTSP(1,2) could decide (k − 4)PP in polynomial time. 6 Min-Sum EkTSP Bellmore and Hong [3] showed that when the constraint p = k is replaced by p ... Voir le document complet

22

An overview on polynomial approximation of NP-hard problems

An overview on polynomial approximation of NP-hard problems

... a polynomial time algorithm could ever be devised for optimally solving NP-hard problems, strongly motivates both researchers and practitioners in trying to heuristically solving such problems, by making a ... Voir le document complet

35

On some difficulties with a posterior probability approximation technique

On some difficulties with a posterior probability approximation technique

... differ in their expressions, they fundamentally relate to the same notion that parameters from other models can be ignored when conditioning on the model index M ...the schemes both of Carlin and Chib ... Voir le document complet

10

Numerical approximation of BSDEs using local polynomial drivers and branching processes

Numerical approximation of BSDEs using local polynomial drivers and branching processes

... Keywords: Bsde, Monte-Carlo methods, branching process. MSC2010: Primary 65C05, 60J60; Secondary 60J85, 60H35. 1 Introduction Since the seminal paper of Pardoux and Peng [22], the theory of Backward Stochastic ... Voir le document complet

35

Numerical approximation of parabolic problems by means of residual distribution schemes

Numerical approximation of parabolic problems by means of residual distribution schemes

... numerical approximation of (1) has already been considered by sev- eral ...of schemes has originally been devised for (steady) transport problems, based on a genuinely multidimensional upwind ...[21]. ... Voir le document complet

26

Polynomial time approximation schemes for dense instances of  minimum constraint satisfaction

Polynomial time approximation schemes for dense instances of minimum constraint satisfaction

... is in fact also valid for average dense ...a polynomial time algorithm with the first sublinear approximation ratio O(n/logn) was designed for the general problem in ...improvement in ... Voir le document complet

20

The 2013 Newton Institute Programme on polynomial optimization

The 2013 Newton Institute Programme on polynomial optimization

... give some new bounding procedures for a rather gen- eral graph partitioning problem, and show that the resulting bounds dominate previous known ones, yet remain tractable in ...known polynomial-time ... Voir le document complet

4

Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis

Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis

... done in Section ...an approximation scheme for the JSR (Theorem 5.4). In Section ...5.3.2). In Section ...5.12). In Section 5.5, we study in more depth the approximation ... Voir le document complet

156

Towards a general formal framework for polynomial approximation

Towards a general formal framework for polynomial approximation

... 2.2 Some other NPO problems ...new approximation framework 7 5 Approximation hains: a generalization of the approximation algorithms 7 6 Approximation level 7 7 Convergen e and hardness ... Voir le document complet

41

Polynomial approximation and graph-coloring

Polynomial approximation and graph-coloring

... devised in [24 ...seen in se tion 13 and approximately solves k SC in this instan e. In [24 ℄, k = 6 ...proposed in ludes three ...6-sets in the initial 6SC-instan e (S, C) ... Voir le document complet

41

ALGORITHMS FOR POSITIVE POLYNOMIAL APPROXIMATION

ALGORITHMS FOR POSITIVE POLYNOMIAL APPROXIMATION

... the polynomial interpolant p n ∈ P n defined by p n (x i ) = f (x i ) for all 0 ≤ i ≤ n satisfies p n ∈ P n + ...central in applications and scientific ...reflects some of our own interests is: [1, ... Voir le document complet

28

Phase-field approximation for some branched transportation problems

Phase-field approximation for some branched transportation problems

... stated in the introduction of this thesis, this fact is essential when approximating the Mumford - Shah functional as in the limit energy one aims at recovering the length of the jump set of some BV ... Voir le document complet

166

Border Basis for Polynomial System Solving and Optimization

Border Basis for Polynomial System Solving and Optimization

... after a finite number of relaxations. The SDP solver used in this computation is mosek . The table records the number of variables (v), the number of inequality and equality constraints (c), the maximum degree of ... Voir le document complet

9

Review and Analysis of some Metamodeling Techniques used in Optimization

Review and Analysis of some Metamodeling Techniques used in Optimization

... the in- formation obtained allows to reprodu e the behaviour of this fun ..., some authors propose to onstru t a lo al metamodel, with only few observation points arround the desired ...data in the ... Voir le document complet

21

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