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Academic literature on the topic 'Test-First-Ansatz'

Author: Grafiati
Published: 27 July 2024
Last updated: 31 July 2025

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Journal articles on the topic "Test-First-Ansatz"

1

Linghu, Kehuan, Yang Qian, Ruixia Wang, et al. "Quantum Circuit Architecture Search on a Superconducting Processor." Entropy 26, no. 12 (2024): 1025. http://dx.doi.org/10.3390/e26121025.

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Variational quantum algorithms (VQAs) have shown strong evidence to gain provable computational advantages in diverse fields such as finance, machine learning, and chemistry. However, the heuristic ansatz exploited in modern VQAs is incapable of balancing the trade-off between expressivity and trainability, which may lead to degraded performance when executed on noisy intermediate-scale quantum (NISQ) machines. To address this issue, here, we demonstrate the first proof-of-principle experiment of applying an efficient automatic ansatz design technique, i.e., quantum architecture search (QAS),
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2

Waimann, Johanna, Philipp Junker, and Klaus Hackl. "A variational material model for transformation-induced plasticity in polycrystalline steels." Journal of the Mechanical Behavior of Materials 24, no. 5-6 (2015): 153–59. http://dx.doi.org/10.1515/jmbm-2015-0022.

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AbstractThis work presents a variational material model for transformation-induced plasticity in steels. We will use the principle of the minimum of the dissipation potential to develop a coupled material model for plastic deformations and phase transformations that simultaneously accounts for the hardening effects that play an important role. We will use a polycrystalline approach and introduce a combined Voigt/Reuß bound and a coupled ansatz for the dissipation functional to model the simultaneous effects of plastic deformations and phase transformations. Finally, we will present the first n
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3

Saleh, Mahmoud, Endre Kovács, Imre Ferenc Barna, and László Mátyás. "New Analytical Results and Comparison of 14 Numerical Schemes for the Diffusion Equation with Space-Dependent Diffusion Coefficient." Mathematics 10, no. 15 (2022): 2813. http://dx.doi.org/10.3390/math10152813.

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We examine the one-dimensional transient diffusion equation with a space-dependent diffusion coefficient. Such equations can be derived from the Fokker–Planck equation and are essential for understanding the diffusion mechanisms, e.g., in carbon nanotubes. First, we construct new, nontrivial analytical solutions with the classical self-similar Ansatz in one space dimension. Then we apply 14 different explicit numerical time integration methods, most of which are recently introduced unconditionally stable schemes, to reproduce the analytical solution. The test results show that the best algorit
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Frodl, P., F. T. Sommer, K. Hau, and F. Wahl. "On the Effective Interaction of two Hydrogen Centres in Niobium." Zeitschrift für Naturforschung A 45, no. 7 (1990): 857–66. http://dx.doi.org/10.1515/zna-1990-0704.

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AbstractWe derive an effective interaction between hydrogen impurities in Niobium using a microscopic theory of hydrogen in metals. Our model consists of an infinite bcc-crystal with two hydrogen centres occupying tetrahedral interstitial sites, neighbouring on the first to the fourth coordination shell. The elastic interactions are assumed to obey the classical harmonic approximation. The electronic interactions due to both the coulomb potentials and the overlap of the impurity induced electron densities in the vicinity of the interstitials also play an important role. These latter interactio
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5

Askar, Ali Habeeb, Ádám Nagy, Imre Ferenc Barna, and Endre Kovács. "Analytical and Numerical Results for the Diffusion-Reaction Equation When the Reaction Coefficient Depends on Simultaneously the Space and Time Coordinates." Computation 11, no. 7 (2023): 127. http://dx.doi.org/10.3390/computation11070127.

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We utilize the travelling-wave Ansatz to obtain novel analytical solutions to the linear diffusion–reaction equation. The reaction term is a function of time and space simultaneously, firstly in a Lorentzian form and secondly in a cosine travelling-wave form. The new solutions contain the Heun functions in the first case and the Mathieu functions for the second case, and therefore are highly nontrivial. We use these solutions to test some non-conventional explicit and stable numerical methods against the standard explicit and implicit methods, where in the latter case the algebraic equation sy
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6

Bokulić, Ana, and Ivica Smolić. "Immersing the Schwarzschild Black Hole in Test Nonlinear Electromagnetic Fields." Physical Sciences Forum 2, no. 1 (2021): 22. http://dx.doi.org/10.3390/ecu2021-09301.

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Killing vector fields can be used as gauge vector potentials since the associated electromagnetic field tensor automatically satisfies the source-free Maxwell’s equations in vacuum spacetimes. This fact enabled Wald to find the form of the electromagnetic tensor corresponding to the Kerr black hole immersed in a uniform test magnetic field. We present the generalisation of this result, which is valid for static black holes surrounded by nonlinear electromagnetic fields. The first obstacle we encountered when dealing with the nonlinear electrodynamics was that the above-described ansatz no long
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7

Sim, Fabio M., Eka Budiarto, and Rusman Rusyadi. "Comparison and Analysis of Neural Solver Methods for Differential Equations in Physical Systems." ELKHA 13, no. 2 (2021): 134. http://dx.doi.org/10.26418/elkha.v13i2.49097.

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Differential equations are ubiquitous in many fields of study, yet not all equations, whether ordinary or partial, can be solved analytically. Traditional numerical methods such as time-stepping schemes have been devised to approximate these solutions. With the advent of modern deep learning, neural networks have become a viable alternative to traditional numerical methods. By reformulating the problem as an optimisation task, neural networks can be trained in a semi-supervised learning fashion to approximate nonlinear solutions. In this paper, neural solvers are implemented in TensorFlow for
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8

Berry, Tyrus, and John Harlim. "Linear theory for filtering nonlinear multiscale systems with model error." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2167 (2014): 20140168. http://dx.doi.org/10.1098/rspa.2014.0168.

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In this paper, we study filtering of multiscale dynamical systems with model error arising from limitations in resolving the smaller scale processes. In particular, the analysis assumes the availability of continuous-time noisy observations of all components of the slow variables. Mathematically, this paper presents new results on higher order asymptotic expansion of the first two moments of a conditional measure. In particular, we are interested in the application of filtering multiscale problems in which the conditional distribution is defined over the slow variables, given noisy observation
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9

Hou, Jue, Yunfeng Jiang, and Yuan Miao. "Rational Q-systems at root of unity I. Closed chains." SciPost Physics 16, no. 5 (2024). http://dx.doi.org/10.21468/scipostphys.16.5.129.

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The solution of Bethe Ansatz equations for XXZ spin chain with the parameter q being a root of unity is infamously subtle. In this work, we develop the rational Q-system for this case, which offers a systematic way to find all physical solutions of the Bethe Ansatz equations at root of unity. The construction contains two parts. In the first part, we impose additional constraints to the rational Q-system. These constraints eliminate the so-called Fabricius-McCoy (FM) string solutions, yielding all primitive solutions. In the second part, we give a simple procedure to construct the descendant t
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10

Bargheer, Till, Thiago Fleury, and Vasco Gonçalves. "Higher-point integrands in $\mathcal{N} = 4$ super Yang-Mills theory." SciPost Physics 15, no. 2 (2023). http://dx.doi.org/10.21468/scipostphys.15.2.059.

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We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in \mathcal{N}=4𝒩=4 super Yang-Mills theory. In addition, we compute the integrand of the five-point function at three-loop order. Using the operator product expansion, we extract the two-loop four-point function of one Konishi operator and three twenty-prime operators. Two methods were used for computing the integrands. The first method is based on constructing an ansatz, and then numerically fitting for the coefficients using the twistor-s
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Books on the topic "Test-First-Ansatz"

1

Beck, Kent. Test Driven Development: By Example. Pearson Education, Limited, 2022.

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Beck, Kent. Test Driven Development: By Example. Pearson Education, Limited, 2022.

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Beck, Kent. Test Driven Development: By Example (The Addison-Wesley Signature Series). Addison-Wesley Professional, 2002.

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Test-driven development: By Example. Addison-Wesley, 2006.

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Test-Driven development by Example. AWP, 2002.

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Test-driven development: By example. Addison-Wesley, 2003.

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Conference papers on the topic "Test-First-Ansatz"

1

Geiser, Georg, Felix Schwarzenthal, Graham Ashcroft, Maximilian Hartmann, and Daniel Schlüß. "On the Development of an Efficient Sliding Mesh Interface for the Harmonic Balance Method, Part I: Implementation and Verification." In ASME Turbo Expo 2024: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/gt2024-125015.

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Abstract In recent years the Harmonic Balance method has become a popular tool in the field of turbomachinery design. While it can efficiently capture nonlinear effects in time-periodic flows, its application to complex configurations such as cavities or casing treatments requires sophisticated domain coupling methods. To address this topic, in a series of two papers, we present and validate an algorithm for the coupling of non-conforming mesh topologies across domain boundaries. In this first paper the basic algorithm and its verification are presented in detail. In the second paper the metho
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2

Rao, Xiang. "The First Application of Quantum Computing Algorithm in Streamline-Based Simulation of Water-Flooding Reservoirs." In ADIPEC. SPE, 2024. http://dx.doi.org/10.2118/221850-ms.

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Abstract Though generic quantum computers are not yet available, we have access to the Noisy Intermediate-Scale Quantum (NISQ) era. The advent of variational quantum algorithms has opened doors for quantum computing in science and engineering during the NISQ era. This study integrates the quantum algorithm with classical streamline methods for efficient, high-precision simulation of two-phase flows, aiming to inform future quantum computing-based reservoir simulation technologies. We employ the variational quantum algorithm to solve the linearized finite volume discrete pressure equations. Thi
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