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A function with infinite number of multiple optima

Finding and Choosing among Multiple Optima

Finding and Choosing among Multiple Optima

... objective function is modeled by the emulator within the designated input ...true function to some degree, it is expected to have increasingly close correspondence as we obtain more function ...

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Cluster Search Algorithm for Finding Multiple Optima

Cluster Search Algorithm for Finding Multiple Optima

... finding multiple optima within the input space of the objective ...these optima, making use of ...the optima that are present in the input space so the user has a preview of what to expect as ...

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Multiple Optima in Identification of ARX Models Subject to Missing Data

Multiple Optima in Identification of ARX Models Subject to Missing Data

... Special system identification algorithms are required if there are significant amounts of data missing. Some such algorithms have been developed previously and typically result in iterative procedures for the parameter ...

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A Regularized Explicit Exchange Method for Semi-Infinite Programs with an Infinite Number of Conic Constraints

A Regularized Explicit Exchange Method for Semi-Infinite Programs with an Infinite Number of Conic Constraints

... Furthermore, for solving the SICP with a convex objective function and affine conic constrains, we have proposed the explicit exchange method and the regularized explicit exchange method a[r] ...

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The L∞ exact penalty function in semi infinite programming

The L∞ exact penalty function in semi infinite programming

... 3. The term NLPP is a misnomer for the intermediate problem stated in theorem 6. It is possible that this intermediate problem may have an infinite number of constraints. This does not affect any of the ...

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Optimal consumption and investment in the economy with infinite number of consumption goods

Optimal consumption and investment in the economy with infinite number of consumption goods

... finite number of goods To investigate problem more thoroughly we consider the economy with finite number of ...total number of differend kinds of good be ...utility function can than be a ...

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Algorithms for Optimal Paths of One, Many, and an Infinite Number of Agents

Algorithms for Optimal Paths of One, Many, and an Infinite Number of Agents

... For a continuum of homogeneous agents, where dealing with a mass rather than individual particles is most appropriate, the field of Mean-Field Games (MFG) is perfectly suited as a framework. The MFG problem is a system ...

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Lower Bounds for the Average and Smoothed Number of Pareto-Optima

Lower Bounds for the Average and Smoothed Number of Pareto-Optima

... objective function to optimize: when planning a train trip we may want to choose connections that minimize fare, total time, number of train changes, ...A number of approaches exist in the literature ...

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Certain infinite integral involving the generalized multiple Zeta-function, a general
class of polynomials and multivariable Aleph-functions

Certain infinite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions

... generalized multiple Zeta-function in multiple serie with the help of equation ...Aleph- function of r variables in series with the help of equation ...

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Understanding Phase Transitions with Local Optima Networks: Number Partitioning as a Case Study

Understanding Phase Transitions with Local Optima Networks: Number Partitioning as a Case Study

... local optima networks. In particular we propose a local optima network model consistent with the monotonic sequences studied in theoretical chemistry, where the so-called multi-funnel structure of en- ergy ...

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Locating and tracking multiple dynamic optima by a particle swarm model using speciation

Locating and tracking multiple dynamic optima by a particle swarm model using speciation

... Fig. 9. Average number of evaluations in finding all known global optima (with the expected accuracy of 0.0001) over 50 runs for F5, with one standard error bar. a critical role in the performance of SPSO. ...

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A clustering particle swarm optimizer for locating and tracking multiple optima in dynamic environments

A clustering particle swarm optimizer for locating and tracking multiple optima in dynamic environments

... tracking multiple optima in dynamic ...locate multiple optima, a single linkage hierarchical clustering method was applied in CPSO to create clusters of particles to form ...proper ...

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Reconciliation Revisited: Handling Multiple Optima when Reconciling with Duplication, Transfer, and Loss

Reconciliation Revisited: Handling Multiple Optima when Reconciling with Duplication, Transfer, and Loss

... often multiple equally optimal reconciliations for a given gene tree and species tree and for a fixed assignment of event ...the number of optimal reconciliations is often prohibitively large, as it can ...

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The number of equilibria of smooth infinite economies with separable utilities

The number of equilibria of smooth infinite economies with separable utilities

... an infinite dimensional analogue of Dierker’s result: that the number of equilibria of smooth infinite economies is odd and hence to study conditions that guarantee global uniqueness of ...demand ...

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The number of equilibria of smooth infinite economies with separable utilities

The number of equilibria of smooth infinite economies with separable utilities

... an infinite dimensional analogue of Dierker’s result: that the number of equilibria of smooth infinite economies is odd and hence to study conditions that guarantee global uniqueness of ...demand ...

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An analysis of the local optima storage capacity of Hopfield network based fitness function models

An analysis of the local optima storage capacity of Hopfield network based fitness function models

... the number of local optima such networks can represent at one ...the number of local attractors they ...local optima in higher order ...the number of attractor states in the network and ...

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Expansion by Laguerre Function for Wave Diffraction around an Infinite Cylinder

Expansion by Laguerre Function for Wave Diffraction around an Infinite Cylinder

... Abstract We consider a vertical circular cylinder on which the vertical variation of water diffraction waves is to be represented by a series of Laguerre functions  n ( ) z = e − z 2 L z n ( ) using Laguerre Polyno- ...

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Infinite solutions having a prescribed number of nodes for a Schrödinger problem

Infinite solutions having a prescribed number of nodes for a Schrödinger problem

... Tan-Fang [] considered the p(x)-Laplacian equations on the bounded domain and expanded a recent result [] of Gasinski-Papageorgiou. The nonlinearity is superlinear but does not satisfy the usual AR condition near ...

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An infinite chainmail of M6L6 metallacycles featuring multiple Borromean links

An infinite chainmail of M6L6 metallacycles featuring multiple Borromean links

... that may be a precursor to a tube (compare with (a)). The formation of hollow, tubular crystals of organic material remains relatively rare but can occur through a number of proposed mechanisms. These include ...

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The New Infinite Sequence Solutions of Multiple Sine Gordon Equations

The New Infinite Sequence Solutions of Multiple Sine Gordon Equations

... the function transformation and the first integral of the ordinary differential equations, the problem of solving the solutions of the double sine-Gordon equation and the treble sine-Gordon equation is researched, ...

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