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The variational method of moments [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023 Abstract The conditional moment problem is a powerful formulation for describing structural causal parameters in terms of observables, a prominent example being instrumental variable regression. We introduce a very general class of estimators called the variational method of moments (VMM), motivated by a variational minimax reformulation
Bennett, Andrew, Kallus, Nathan
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IEEE Access, 2016 This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
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Theory of variational quantum simulation [PDF]
Quantum, 2019 The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and ...
Xiao Yuan +4 more
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Performance comparison between maximum likelihood estimation and variational method for estimating simple linear regression parameter [PDF]
ITM Web of ConferencesVariational estimation method is a deterministic approximation technique which involves Bayesian framework while giving a point estimate instead of the usual Bayesian interval estimation. The linear regression model, which has always been a popular model,
Widyaningsih Yekti +2 more
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Mean photon number dependent variational method to the Rabi model [PDF]
New Journal of Physics, 2015 We present a mean photon number dependent variational method, which works well in the whole coupling regime if the photon energy is dominant over the spin-flipping, to evaluate the properties of the Rabi model for both the ground state and excited states.
Maoxin Liu +3 more
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A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises [PDF]
Sensors, 2018 Blurred image restoration poses a great challenge under the non-Gaussian noise environments in various communication systems. In order to restore images from blur and alpha-stable noise while also preserving their edges, this paper proposes a variational
Zhenzhen Yang, Zhen Yang, Guan Gui
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Desimal, 2021 The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla +3 more
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Variational Estimation Methods for Sturm–Liouville Problems
Mathematics, 2022 In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
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Exponential type duality for η-approximated variational problems [PDF]
Yugoslav Journal of Operations Research, 2020 In this article, we use the so-called η-approximation method for solving a new class of nonconvex variational problems with exponential (p, r)-invex functionals.
Jha Shalini, Das Prasun, Antczak Tadeusz
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Variational Inference: A Review for Statisticians [PDF]
arXiv.org, 2016 One of the core problems of modern statistics is to approximate difficult-to-compute probability densities. This problem is especially important in Bayesian statistics, which frames all inference about unknown quantities as a calculation involving the ...
D. Blei, A. Kucukelbir, Jon D. McAuliffe
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