A variational eigenvalue solver on a photonic quantum processor [PDF]
Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. For quantum systems, where the physical dimension grows exponentially, finding the eigenvalues of certain operators is one such intractable
A. Peruzzo+7 more
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The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration ...
Ai-Min Yang+4 more
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Different Groups of Variational Principles for Whitham-Broer-Kaup Equations in Shallow Water [PDF]
Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao+4 more
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Based on He’s variational iteration method idea, we modified the fractional variational iteration method and applied it to construct some approximate solutions of the generalized time-space fractional Schrödinger equation (GFNLS).
Baojian Hong, Dianchen Lu
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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities [PDF]
We propose an extragradient method with stepsizes bounded away from zero for stochastic variational inequalities requiring only pseudomonotonicity.
A. Iusem+3 more
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GraphVAE: Towards Generation of Small Graphs Using Variational Autoencoders [PDF]
Deep learning on graphs has become a popular research topic with many applications. However, past work has concentrated on learning graph embedding tasks, which is in contrast with advances in generative models for images and text.
M. Simonovsky, N. Komodakis
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An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation [PDF]
In this paper, we apply He's variational iteration method (VIM) and the Adomian decomposition method (ADM) to approximate the solution of Duffing-Van Der Pol equation (DVP).
Ann Al-Sawoor, Merna Samarchi
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Variational Adversarial Active Learning [PDF]
Active learning aims to develop label-efficient algorithms by sampling the most representative queries to be labeled by an oracle. We describe a pool-based semi-supervised active learning algorithm that implicitly learns this sampling mechanism in an ...
Samarth Sinha+2 more
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Performance comparison between maximum likelihood estimation and variational method for estimating simple linear regression parameter [PDF]
Variational 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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Exact analytical solution of tempered fractional heat-like (diffusion) equations by the modified variational iteration method [PDF]
This paper introduces a modified version of the Variational Iteration Method, incorporating $\mathbb{P}$-transformation. We propose a novel semi-analytical technique named the modified variational iteration method for addressing fractional ...
Mohammad Hossein Akrami+2 more
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