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Taylor’s Expansion for Composite Functions [PDF]
The Scientific World Journal, 2013 We build a Taylor’s expansion for composite functions. Some applications are introduced, where the proposed technique allows the authors to obtain an asymptotic expansion of high order in many small parameters of solutions.
Le Thi Phuong Ngoc, Nguyen Anh Triet
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Taylor Expansion Policy Optimization
CoRR, 2020 In this work, we investigate the application of Taylor expansions in reinforcement learning. In particular, we propose Taylor expansion policy optimization, a policy optimization formalism that generalizes prior work (e.g., TRPO) as a first-order special case. We also show that Taylor expansions intimately relate to off-policy evaluation.
Tang, Y. (Yunhao) +2 more
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Efficient Taylor expansion computation of multidimensional vector functions on GPU [PDF]
, 2021 The Taylor expansion [19] is used in many applications for a value estimation of scalar functions of one or two variables in the neighbour point. Usually, only the first two elements of the Taylor expansion are used, i.e. a value in the given point and
Skala, Vaclav
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Pipelined Stochastic Gradient Descent with Taylor Expansion
Applied Sciences, 2023 Stochastic gradient descent (SGD) is an optimization method typically used in deep learning to train deep neural network (DNN) models. In recent studies for DNN training, pipeline parallelism, a type of model parallelism, is proposed to accelerate SGD ...
Bongwon Jang, Inchul Yoo, Dongsuk Yook
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Modification of Fourth order Runge-Kutta Method for Kutta Form With Geometric Means
Kubik, 2020 This paper discuss how to modified Fourth order Runge-Kutta Kutta method based on the geometric mean. Then we have parameters and however by re-comparing the Taylor series expansion of and up to the 4th order. For make error term re-compering
Irma Suryani +3 more
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Newton series expansion of bosonic operator functions
SciPost Physics, 2021 We show how series expansions of functions of bosonic number operators are naturally derived from finite-difference calculus. The scheme employs Newton series rather than Taylor series known from differential calculus, and also works in cases where the ...
Jürgen König, Alfred Hucht
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Taylor expansion for matrix functions of vector variable using the Kronecker product
Vietnam Journal of Mechanics, 2019 Taylor expansion is one of the many mathematical tools that is applied in Mechanics and Engineering. In this paper, using the partial derivative of a matrix with respect to a vector and the Kronecker product, the formulae of Taylor series of vector ...
Nguyen Van Khang +2 more
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Taylor Expansions in Chemical Potential [PDF]
Progress of Theoretical Physics Supplement, 2004 Properties of QCD at finite chemical potential are extracted using Taylor series expansions. The continuum limits of lattice results are presented. The result of expanding the free energy density, ie, the pressure, to 6th order in the expansion is shown. The Taylor coefficients of the chiral condensate are also shown.
Gavai, Rajiv +2 more
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Applied Sciences, 2023 Real objects-based full-color holographic display systems usually collect data with a depth camera and then modulate the input light source to reconstruct the color three-dimensional scene of the real object. However, at present, the main problems of the
Qinhui Yang +4 more
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A probabilistic Taylor expansion with Gaussian processes [PDF]
Trans. Mach. Learn. Res., 2021 To appear in Transactions on Machine Learning ...
Karvonen, Toni +3 more
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