Operator (computer programming)

About: Operator (computer programming) is a research topic. Over the lifetime, 40896 publications have been published within this topic receiving 671452 citations. The topic is also known as: operator symbol & operator name.

An adaptive pursuit strategy for allocating operator probabilities

Abstract: Learning the optimal probabilities of applying an exploration operator from a set of alternatives can be done by self-adaptation or by adaptive allocation rules In this paper we consider the latter option The allocation strategies discussed in the literature basically belong to the class of probability matching algorithms These strategies adapt the operator probabilities in such a way that they match the reward distribution In this paper we introduce an alternative adaptive allocation strategy, called the adaptive pursuit method We compare this method with the probability matching approach in a non-stationary environment Calculations and experimental results show the superior performance of the adaptive pursuit algorithm If the reward distributions stay stationary for some time, the adaptive pursuit method converges rapidly and accurately to an operator probability distribution that results in a much higher probability of selecting the current optimal operator and a much higher average reward than with the probability matching strategy Yet most importantly, the adaptive pursuit scheme remains sensitive to changes in the reward distributions, and reacts swiftly to non-stationary shifts in the environment

Constraints on conformal field theories in diverse dimensions from the bootstrap mechanism.

Abstract: Recently an efficient numerical method has been developed to implement the constraints of crossing symmetry and unitarity on the operator dimensions and operator product expansion coefficients of conformal field theories in diverse space-time dimensions. It appears that the calculations can be done only for theories lying at the boundary of the allowed parameter space. Here it is pointed out that a similar method can be applied to a larger class of conformal field theories, whether unitary or not, and no free parameter remains, provided we know the fusion algebra of the low lying primary operators. As an example we calculate using first principles, with no phenomenological input, the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity in three and four space dimensions. The edge exponents compare favorably with the latest numerical estimates. A consistency check of this approach on the 3D critical Ising model is also made.

A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information

Abstract: In this paper, we propose a linguistic hybrid arithmetic averaging (LHAA) operator, which is based on linguistic weighted arithmetic averaging (LWAA) operator and extended ordered weighted averaging (EOWA) operator, and study some desirable properties of the LHAA operator. The LHAA operator can not only reflect the importance degrees of both the given argument and its ordered position, but also relieve the influence of unfair arguments on the decision results by weighting these arguments with small values. Based on the LWAA and LHAA operators, we develop a practical approach to multiple attribute group decision making under linguistic environment. The approach first aggregates the individual linguistic preference values into a collective linguistic preference value for each alternative by using the LWAA and LHAA operators (it is worth pointing out that the aggregation process does not produce any loss of linguistic information), and then orders the collective linguistic preference values to obtain the best alternative(s). Finally, an illustrative example is also given to verify the approach and to demonstrate its feasibility and practicality.

Existence Families, Functional Calculi, and Evolution Equations

Abstract: Intuition and elementary examples.- Existence families.- Regularized semigroups.- The solution space of an operator and automatic well-posedness.- Exponentially bounded (Banach) solution spaces.- Well-posedness on a larger space Generalized solutions.- Entire vectors and entire existence families.- Reversibility of parabolic problems.- The cauchy problem for the Laplace equation.- Boundary values of holomorphic semigroups.- The Schrodinger equation.- Functional calculus for commuting generators of bounded strongly continuous groups.- Petrovsky correct matrices of generators of bounded strongly continuous groups.- Arbitrary matrices of generators of bounded strongly continuous groups.- More examples of regularized semigroups.- Existence and uniqueness families.- C-resolvents and Hille-Yosida type theorems.- Relationship to integrated semigroups.- Perturbations.- Type of an operator.- Holomorphic C-existence families.- Unbounded holomorphic functional calculus for operators with polynomially bounded resolvents.- Spectral conditions guaranteeing solutions of the abstract Cauchy problem.- Polynomials of generators.- Iterated abstract Cauchy problems.- Equipartition of energy.- Simultaneous solution space.- Exponentially bounded simultaneous solution space.- Simultaneous existence families.- Simultaneous existence families for matrices of operators.- Time dependent evolution equations.