Готові списки джерел за темами / Non-attractive set of initial approximations

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Добірка наукової літератури з теми "Non-attractive set of initial approximations"

Автор: Grafiati

Опубліковано: 3 червня 2025

Оновлено: 31 липня 2025

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Статті в журналах з теми "Non-attractive set of initial approximations"

Anna, Malinova Angel Golev Anton Iliev* Nikolay Kyurkchiev. "SOME NOTES ON THE FAST ADAPTIVE NEURAL NETWORK SOLVERS." Global Journal of Engineering Science and Research Management 4, no. 10 (2017): 121–31. https://doi.org/10.5281/zenodo.1034497.

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With this paper, we discuss some important aspects related to the iterative solution of two classes of polynomials, nonlinear systems of equations, and the adapted to them – "FAST adaptive neural solver" (FANS). The crucial issue of choosing initial approximations (separation of unattractive networks of initial data) and the possibility of minimizing CPU–time with the use of existing FANS is discussed.

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Pelekh, Ya M., A. V. Kunynets, and R. Ya Pelekh. "TWO-SIDED METHODS FOR SOLVING INITIAL VALUE PROBLEM FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS." Journal of Numerical and Applied Mathematics, no. 2 (2022): 116–21. http://dx.doi.org/10.17721/2706-9699.2022.2.13.

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Using the continued fractions and the method of constructing Runge-Kutta methods, numerical methods for solving the Cauchy problem for nonlinear Volterra non-linear integrodifferential equations are proposed. With appropriate values of the parameters, one can obtain an approximation to the exact solution of the first and second order of accuracy. We found a set of parameters for which we obtain two-sided calculation formulas, which at each step of integration allow to obtain the upper and lower approximations of the exact solution.

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Wang, Jinghua, and Hui Zhang. "Existence and decay rates of smooth solutions for a non-uniformly parabolic equation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 132, no. 6 (2002): 1477–91. http://dx.doi.org/10.1017/s0308210500002213.

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We obtain the existence and decay rates of the classical solution to the initial-value problem of a non-uniformly parabolic equation. Our method is to set up two equivalent sequences of the successive approximations. One converges to a weak solution of the initial-value problem; the other shows that the weak solution is the classical solution for t > 0. Moreover, we show how bounds of the derivatives to the classical solution depend explicitly on the interval with compact support in (0, ∞). Then we study decay rates of this classical solution.

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Hayes, Brian, and Michael Shearer. "Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129, no. 4 (1999): 733–54. http://dx.doi.org/10.1017/s0308210500013111.

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The Riemann initial value problem is studied for scalar conservation laws whose fluxes have a single inflection point. For a regularization consisting of balanced diffusive and dispersive terms, the travelling wave criterion is used to select admissible shocks. In some cases, the Riemann problem solution contains an undercompressive shock. The analysis is illustrated by exploring parameter space for the Buckley–Leverett flux. The boundary of the set of parameters for which there is a physical solution of the Riemann problem for all data is computed. Within the region of acceptable parameters,

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Guseva, S. R., and D. N. Ibragimov. "A priori estimation of the minimal stabilization time for linear discrete-time systems with bounded control based on the apparatus of eigensets." Modelling and Data Analysis 15, no. 1 (2025): 110–32. https://doi.org/10.17759/mda.2025150106.

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<p>A linear system with discrete time and bounded control is considered. It is assumed that the system matrix is non-singular and diagonalizable, and the set of admissible control values is convex and compact. For a given system, the time-optimization problem is studied. In particular, it is required to construct a priori estimates of the optimal value of the minimal time as a function of the initial state and system parameters that do not require an exact construction of the class of null-controllable sets. To solve the problem, an apparatus of eigensets of a linear transformation is de

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Trębicki, Grzegorz. "Merits of Fantastic Literature: A Proposal for Theoretical Framework." Literatura i Kultura Popularna 28 (October 6, 2022): 107–16. http://dx.doi.org/10.19195/0867-7441.28.8.

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The paper attempts to set ground for a comprehensive debate on the merits of non-mimetic (fantastic) literature, tentatively proposing a system of four basic merits — the entertaining/fabulative, the emotional-cognitive, the speculative/extrapolative, and the aesthetic. These merits can also be alternatively viewed as narrative functions, precisely defined presuppositions, agreements between the implied reader and writer as to what literary gratifications are to be expected by the reader from the reading experience. They constitute structural dominants which are well manifested in the texts th

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Shevchenko, I. I. "Using sequential particle methods and non-parametric distributions in bayesian evaluations of abundance and catch at age time series." Problems of Fisheries 24, no. 1 (2023): 99–116. http://dx.doi.org/10.36038/0234-2774-2023-24-1-99-116.

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We describe an approach to analyzing time series for two variables connected through the state model with abundance and catch data sets and cohort and catch equations as an example. First, we create a deterministic model with parameters that maximizes the closeness of given data and data generated by a model. Then, we obtain cohort stochastic models using the difference between initial and modeled data. They are represented as hidden Bayesian models with abundances as states and catches as observations. Using these models, one can evaluate posterior densities and calculate averages, deviations

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Almgren, A., R. Camassa, and R. Tiron. "Shear instability of internal solitary waves in Euler fluids with thin pycnoclines." Journal of Fluid Mechanics 710 (August 29, 2012): 324–61. http://dx.doi.org/10.1017/jfm.2012.366.

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AbstractThe stability with respect to initial condition perturbations of solitary travelling-wave solutions of the Euler equations for continuously, stably stratified, near two-layer fluids is examined numerically and analytically for a set of parameters of relevance for laboratory experiments. Numerical travelling-wave solutions of the Dubreil–Jacotin–Long equation are first obtained with a variant of Turkington, Eyland and Wang’s iterative code by testing convergence on the equation’s residual. In this way, stationary solutions with very thin pycnoclines (and small Richardson numbers) approa

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Verykokou, Styliani, and Charalabos Ioannidis. "EXTERIOR ORIENTATION ESTIMATION OF OBLIQUE AERIAL IMAGERY USING VANISHING POINTS." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLI-B3 (June 9, 2016): 123–30. http://dx.doi.org/10.5194/isprs-archives-xli-b3-123-2016.

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In this paper, a methodology for the calculation of rough exterior orientation (EO) parameters of multiple large-scale overlapping oblique aerial images, in the case that GPS/INS information is not available (e.g., for old datasets), is presented. It consists of five main steps; (a) the determination of the overlapping image pairs and the single image in which four ground control points have to be measured; (b) the computation of the transformation parameters from every image to the coordinate reference system; (c) the rough estimation of the camera interior orientation parameters; (d) the est

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Тези доповідей конференцій з теми "Non-attractive set of initial approximations"

Grigore, Ionel, Cristina Miron, and Daniela Stoica. "THE STUDY OF THE SIMPLE GRAVITATIONAL PENDULUM WITH EXCEL SPREADSHEETS." In eLSE 2018. ADL Romania, 2018. http://dx.doi.org/10.12753/2066-026x-18-058.

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This paper presents a didactic tool designed with the help of Excel spreadsheets for the study of the simple gravitational pendulum in oscillation regime. The period of the pendulum is calculated for a certain value of the initial angular amplitude and it is compared with the zero, one and two-order approximations from the expansion series of the period. Moreover, the velocity and tension force of the thread are calculated according to the angular displacement from the input data. It is shown how the complete elliptic integral of the first kind can be evaluated in the spreadsheet, through the

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Zou, Rui, and Sourabh Bhattacharya. "Approximation of Capture Sets in Visibility-Based Target-Tracking Games for Non-Holonomic Players." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5379.

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In this work, we analyze approximations of capture sets [1] for a visibility based pursuit-evasion game. In contrast to the capture problem, the pursuer tries to maintain a line-of-sight with the evader in free space in our problem. We extend the concept of U set initially proposed in [2] for holonomic players to the scenario in which the pursuer is holonomic. The problem of computing the U set is reduced to that of computing time-optimal paths for the non-holonomic vehicles to an arbitrary line. We characterize the primitives for time-optimal paths for the Dubin’s vehicle, Reed-shepps car and

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Buryachenko, Valeriy A. "Method of Fundamental Solution in Thermoelasticity of Random Structure Matrix Composites." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86515.

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One considers linear thermoelastic composite media, which consist of a homogeneous matrix containing a statistically homogeneous random set of aligned homogeneous heterogeneities of non-canonical (i.e. non-ellipsoidal) shape. The representations of the effective properties (effective moduli, thermal expansion, and stored energy) are expressed through the statistical averages of the interface polarization tensors (generalizing the initial concepts, see e.g. [1] and [2]) introduced apparently for the first time. The new general integral equations connecting the stress and strain fields in the po

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Gao, Guohua, Jeroen Vink, Fredrik Saaf, and Terence Wells. "Strategies to Enhance the Performance of Gaussian Mixture Model Fitting for Uncertainty Quantification by Conditioning to Production Data." In SPE Reservoir Simulation Conference. SPE, 2021. http://dx.doi.org/10.2118/204008-ms.

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Abstract When formulating history matching within the Bayesian framework, we may quantify the uncertainty of model parameters and production forecasts using conditional realizations sampled from the posterior probability density function (PDF). It is quite challenging to sample such a posterior PDF. Some methods e.g., Markov chain Monte Carlo (MCMC), are very expensive (e.g., MCMC) while others are cheaper but may generate biased samples. In this paper, we propose an unconstrained Gaussian Mixture Model (GMM) fitting method to approximate the posterior PDF and investigate new strategies to fur

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Kamboukos, Philippos, and Kostas Mathioudakis. "Multipoint Non-Linear Method for Enhanced Component and Sensor Malfunction Diagnosis." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90451.

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Operating gas turbine engines are usually equipped with a limited number of sensors. This situation is the common issue of gas turbine diagnostics where the absence of sufficient measurements from the engine gas path reduces the effectiveness of the applied methods. In addition the installed sensors of the engine deteriorate with time or present abrupt malfunctions which are not always detectable. One way to overcome this problem is the exploitation of information from a number of different operating points by constructing a multipoint diagnostic procedure. Information from different operating

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Lindberg, Ole, Harry B. Bingham, and Allan Peter Engsig Karup. "A Coupled Finite Difference and Weighted Least Squares Simulation of Violent Breaking Wave Impact." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83823.

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Two model for simulation of free surface flow are presented. The first model is a finite difference based potential flow model with non-linear kinematic and dynamic free surface boundary conditions. The second model is a weighted least squares based incompressible and inviscid flow model. A special feature of this model is a generalized finite point set method which is applied to the solution of the Poisson equation on an unstructured point distribution. The presented finite point set method is generalized to arbitrary order of approximation. The two models are applied to simulation of steep a

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Zhong, Liang, Changgang Lu, and Jian Wu. "Spatio-Temporal Trajectory Planning Using Search And Optimizing Method for Autonomous Driving." In WCX SAE World Congress Experience. SAE International, 2024. http://dx.doi.org/10.4271/2024-01-2563.

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<div class="section abstract"><div class="htmlview paragraph">In the field of autonomous driving trajectory planning, it’s virtual to ensure real-time planning while guaranteeing feasibility and robustness. Current widely adopted approaches include decoupling path planning and velocity planning based on optimization method, which can’t always yield optimal solutions, especially in complex dynamic scenarios. Furthermore, search-based and sampling-based solutions encounter limitations due to their low resolution and high computational costs. This paper presents a novel spatio-tempora

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Colac¸o, Marcelo J., Helcio R. B. Orlande, Wellington B. da Silva, and George S. Dulikravich. "Application of a Bayesian Filter to Estimate Unknown Heat Fluxes in a Natural Convection Problem." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47652.

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Sequential Monte Carlo (SMC) or Particle Filter Methods, which have been originally introduced in the beginning of the 50’s, became very popular in the last few years in the statistical and engineering communities. Such methods have been widely used to deal with sequential Bayesian inference problems in fields like economics, signal processing, and robotics, among others. SMC Methods are an approximation of sequences of probability distributions of interest, using a large set of random samples, named particles. These particles are propagated along time with a simple Sampling Importance distrib

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Melli, Roberto, Enrico Sciubba, Claudia Toro, and Alessandro Zoli-Porroni. "An Example of Thermo-Economic Optimization of a CCGT by Means of the Proper Orthogonal Decomposition Method." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87317.

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This paper presents an application of the Proper Orthogonal Decomposition (POD) technique (also called Karhunen-Loève Decomposition, Principal Component Analysis, or Singular Value Decomposition) to the thermo-economic optimization of a realistic Combined-Cycle Gas Turbine (CCGT) process. The novel inverse-design approach proposed here employs the thermo-economic cost of the two products as objective function. The proposed procedure does not require the generation of a complete simulated set of results at each iteration step of the optimization, because POD constructs a very accurate approxima

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Tsai, Ying-Kuan, and Richard J. Malak. "Control Co-Design With Approximate Explicit Model Predictive Controllers." In ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-109551.

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Abstract This paper presents a novel methodology for control co-design (CCD) with approximate explicit model predictive controllers. This paper also investigates how approximation errors impact the decision-making for design of dynamic systems. The explicit nonlinear control policies are approximated and represented as surrogate models by a function of states and plant parameters, which allows for offline solving control problems and reducing the computational time required for CCD optimization. Set invariance theory and Lyapunov stability theory are employed to ensure the stability of designe

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