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Generating functions

, 2013
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On the (2, F) Generalizations of the Fibonacci Sequence

The Fibonacci quarterly, 1992
A generalization of the Fibonacci sequence to vectors was defined in Atanassov, Atanassova, & Sasselov [1]. In a later article, Atanassov [2] defined the four distinct (2, F) generalizations of the Fibonacci sequence and determined a solution for one of ...
W. R. Spickerman, R. N. J O Y N E R, R. L. Creech, Generating Function, X-X   +4 more
semanticscholar   +1 more source

Generating Diverse and Natural 3D Human Motions from Text

Computer Vision and Pattern Recognition, 2022
Automated generation of 3D human motions from text is a challenging problem. The generated motions are expected to be sufficiently diverse to explore the text-grounded motion space, and more importantly, accurately depicting the content in prescribed ...
Chuan Guo, Shihao Zou, X. Zuo, Sen Wang, Wei Ji, Xingyu Li, Li Cheng   +6 more
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A Multi-State Model for Reliability Assessment of Integrated Gas and Power Systems Utilizing Universal Generating Function Techniques

IEEE Transactions on Smart Grid, 2019
Large-scale adoption of gas-fired power plants (GPPs) significantly accelerates the integration of power systems and natural gas systems (NGSs). Because the operation of NGS has a significant impact on the reliability of power system, it is important to ...
Minglei Bao, Yi Ding, C. Singh, Changzheng Shao   +3 more
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Testing for normality in any dimension based on a partial differential equation involving the moment generating function

Annals of the Institute of Statistical Mathematics, 2019
We use a system of first-order partial differential equations that characterize the moment generating function of the d-variate standard normal distribution to construct a class of affine invariant tests for normality in any dimension.
N. Henze, J. Visagie
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Fractional-order Kalman filters for continuous-time linear and nonlinear fractional-order systems using Tustin generating function

International Journal of Control, 2019
This paper presents the fractional-order Kalman filters using Tustin generating function for linear and nonlinear fractional-order systems involving process noise and measurement noise.
Zhe Gao
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A new acquisition function for Bayesian optimization based on the moment-generating function

IEEE International Conference on Systems, Man and Cybernetics, 2017
Bayesian Optimization or Efficient Global Optimization (EGO) is a global search strategy that is designed for expensive black-box functions. In this algorithm, a statistical model (usually the Gaussian process model) is constructed on some initial data ...
Hao Wang, Bas van Stein, M. Emmerich, Thomas Bäck   +3 more
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The phase model and the norm-trace generating function of plane partitions

Journal of Statistical Mechanics: Theory and Experiment, 2018
A quantum phase model is considered and the temporal evolution of the exponential of the first moment of particles distribution is studied. The calculation of the temporal evolution is based on the properties of Schur functions.
N. Bogoliubov, C. Malyshev
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Harmonic generalized functions in generalized function algebras

Monatshefte für Mathematik, 2009
We investigate basic properties of harmonic generalized functions within the framework of J. F. Colombeau’s theory of generalized functions. In particular, we present various theorems concerning the Maximum principle, Liouville’s theorem, singularities and Poisson formula.
Pilipović, Stevan, Scarpalézos, Dimitris   +1 more
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Reliability Analysis of Mobile Ad Hoc Networks Using Universal Generating Function

Quality and Reliability Engineering International, 2016
The proliferation of the wireless network over the last decade is one of the significant drivers for the increased deployment of mobile ad hoc networks (MANETs) in the battle field.
K. Meena, T. Vasanthi
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