Uses variational methods. Medical search. Frequent questions

Buchbeschreibung: Nils Langenberg : Convergence analysis of proximal-like methods for variational inequalities and fixed point problems. (logos-verlag.de)
Convergence analysis of proximal-like methods for variational inequalities and fixed point problems. (logos-verlag.de)
Several regularization methods for variational inequalities and fixed point problems are studied. (logos-verlag.de)
Some existing decomposition methods for solving a class of variational inequalities (VI) with separable structures are closely related to the classical proximal point algorithm, as their decomposed sub-VIs are regularized by proximal terms. (optimization-online.org)
Unlike the partial differential equations, the solutions of variational inequalities exhibit singularities even when the data is smooth due to the existence of free boundaries. (iisc.ac.in)
The main focus in this thesis has been on the derivation of reliable and efficient error bounds for the discontinuous Galerkin methods applied to elliptic variational inequalities. (iisc.ac.in)
The variational inequalities can be split into two kinds, namely, inequalities of the first kind and the second kind. (iisc.ac.in)
We study an elliptic obstacle problem and a Signorini contact problem in the category of the first kind, while the frictional plate contact problem in the category of the fourth order variational inequalities of second kind. (iisc.ac.in)
We review recent results established in the literature via the optimal control approach to differential equations, and we show that a systematic study of general variational inequalities associated to fourth-order operators can be performed by similar methods. (wias-berlin.de)

Huang, A. C. , " An Adaptive Variational Multiscale Method with Discontinuous Subscales for Aerodynamic Flows " , Phd Thesis, Massachusetts Institute of Technology, 2020. (mit.edu)

H. Xu, Sample average approximation methods for a class of stochastic variational inequality problems , Asia-Pacific Journal of Operations Research, 27 (2010), 103-119. (aimsciences.org)
Stochastic first-order methods such as Stochastic Extragradient (SEG) or Stochastic Gradient Descent-Ascent (SGDA) for solving smooth minimax problems and, more generally, variational inequality problems (VIP) have been gaining a lot of attention in recent years due to the growing popularity of adversarial formulations in machine learning. (neurips.cc)

In this contribution, we propose a new computationally efficient method to combine Variational Inference (VI) with Markov Chain Monte Carlo (MCMC). (arxiv.org)
Stein variational gradient descent (SVGD) was recently proposed as a general purpose nonparametric variational inference algorithm: it minimizes the Kullback-Leibler divergence between the target distribution and its approximation by implementing a form of functional gradient descent on a reproducing kernel Hilbert space [Liu & Wang, NIPS 2016]. (neurips.cc)
To address this problem, we developed a variational inference-based model that simultaneously does copy number profiling and cell clustering. (kth.se)
Third, we approached the phylogenetic tree inference problem and developed a variational inference-based model to make the inference. (kth.se)
Typically, the existing variational inference-based methods need to constrain their analysis to a much smaller subset of the tree space. (kth.se)
Finally, we addressed a challenge in variational inference. (kth.se)
The variational inference methods target a complex, usually multimodal posterior distribution and try to approximate it using simpler, often unimodal distributions. (kth.se)
Variational methods have been previously explored as a tractable approximation to Bayesian inference for neural networks. (videolectures.net)

Studied methods include the Bregman-function-based Proximal Point Algorithm (BPPA), Cohen's Auxiliary Problem Principle and an extragradient algorithm. (logos-verlag.de)
The VarDA problem is known in numerical optimisation as a nonlinear least-squares problem which is solved using an iterative method - a method which takes an initial guess of the solution and then generates a sequence of better guesses at each step of the algorithm. (reading.ac.uk)
This paper proposes a fast optimization algorithm for the multichannel variational autoencoder (MVAE) method, a recently proposed powerful multichannel source separation technique. (elsevierpure.com)
The MVAE method can achieve good source separation performance thanks to a convergence-guaranteed optimization algorithm and the idea of jointly performing multi-speaker separation and speaker identification. (elsevierpure.com)
Experimental evaluations revealed that the proposed fast algorithm can achieve high source separation performance in both speaker-dependent and speaker-independent scenarios while significantly reducing the computational time compared to the original MVAE method by more than 90% on both GPU and CPU. (elsevierpure.com)
By using a variational algorithm, this approach reduces the requirement for coherent evolution of the quantum state, making more efficient use of quantum resources, and may offer an alternative route to practical quantum-enhanced computation. (nature.com)

The development of the formulation in the Variational Asymptotic Beam Sectional Analysis (VABS) was started in 1988, and various former students of Hodges made contributions to this project, including Hodges, Cesnik and Hodges, and Yu et al. (wikipedia.org)
12] Alart,P.,Curnier,A., A mixed formulation for frictional contact problems prone to Newton like solution methods. (cnrs-mrs.fr)
We investigate a variational formulation to this problem, implemented via a level set method, that produces a surface representation of the boundary. (escholarship.org)
When the norm is Hilbertian, the proposed formulation yields a solution that involves radial-basis functions and is compatible with the classical methods of machine learning. (epfl.ch)
The focus of this work is the formulation and application of an adaptive approach based on the variational multiscale (VMS) method for stochastic PDEs with uncertain input data. (rpi.edu)
In the paper they say that is it now trivial to use the variational formulation to use finite element methods. (stackexchange.com)
But I don't understand the connection with the weak formulation and hence I do not understand the link with the finite element method. (stackexchange.com)
Are you asking how to obtain the weak form from the variational formulation (or vice versa)? (stackexchange.com)
I am asking how to derive the finite element method given a variational formulation. (stackexchange.com)

In this study, a morphological regulated variational autoencoder (Morpho-VAE) is proposed that conducts image-based shape analysis using imaging processing through a deep-learning framework, thereby removing the need for defining landmarks. (biorxiv.org)

In this study, the well-known Variational Iteration Method (VIM) is implemented for finding the solution of linear and nonlinear Delay VolterraIintegral Equations (DVIEs). (scialert.net)
In this paper, nonlinear dynamic behaviour of the carbon nanotube conveying fluid in slip boundary conditions is studied using the variation iteration method. (scienceopen.com)
The variational iteration method is newly used to construct various integral equations of fractional order. (infona.pl)
The fractional Bagley-Torvik equation is then illustrated as an example of multi-order and the results show the efficiency of the variational iteration method's new role. (infona.pl)

Variational principles are applied to the defined functional as well as the asymptotes are applied to the same functional instead of applying on differential equations which is more prone error. (wikipedia.org)
SSVM focuses especially on multiscale analysis of image content, partial differential equations, geometric and level-set methods, variational methods, and optimization. (wikicfp.com)
This publication is a quick introductory textual content to variational innovations with purposes to differential equations. (eav.sk)

This paper introduces an easy-to-implement stochastic variational method (or equivalently, minimum description length loss function) that can be applied to most neural networks. (videolectures.net)

A number of approximate Bayesian methods have been proposed to make such calculations practical, among them the variational Bayesian (VB) approach. (neurips.cc)
To address this problem, we propose Parameter-eXpanded Variational Bayesian (PX-VB) methods to speed up VB. (neurips.cc)

This paper proposes a FOG recognition method based on the Variational Mode Decomposition (VMD). (techscience.com)
Firstly, VMD instead of the traditional time-frequency analysis method to complete adaptive decomposition to the FOG signal. (techscience.com)
S. Li, R. Qu, Y. Zhang and D. Yu, "Research on freezing of gait recognition method based on variational mode decomposition," Intelligent Automation & Soft Computing , vol. 37, no.3, pp. 2809-2823, 2023. (techscience.com)
Differing in whether the generated sub-VIs are suitable for parallel computation, these proximal-based methods can be categorized into the parallel decomposition methods and alternating decomposition methods. (optimization-online.org)
This paper generalizes these methods and thus presents the unified framework of proximal-based decomposition methods for solving this class of VIs, in both exact and inexact versions. (optimization-online.org)

Variational Asymptotic Method (VAM) is a powerful mathematical approach to simplify the process of finding stationary points for a described functional by taking advantage of small parameters. (wikipedia.org)
10] De Saxcé, G., Feng, Z.Q., The bipotential method : a constructive approach to design the complete contact law with friction and improved numerical algorithms. (cnrs-mrs.fr)
Unlike previous methods following this direction, our approach is amenable to the reparametrization trick and does not rely on computationally expensive reverse kernels. (arxiv.org)
Some iterative schemes are proposed which fully use the method and the predictor-corrector approach. (infona.pl)
Here we present an alternative approach that greatly reduces the requirements for coherent evolution and combine this method with a new approach to state preparation based on ansätze and classical optimization. (nature.com)
When the width is compared to results from the approach of resolvent operators, a quantitative difference is found, which we attribute to the neglected intraband scattering in the latter method. (lu.se)
An improved method to predict the entropy term with the MM/PBSA approach. (lu.se)

This method can construct accurate models for dimensionally reducible structures and in analyzing geometric and material nonlinear models. (wikipedia.org)
M. Fukushima, Merit functions for variational inequality and complementarity problems , in "Nonlinear Optimization and Applications"(eds. (aimsciences.org)
Several illustrative linear and nonlinear experiments are included to show the validity and capability of the presented method. (scialert.net)
The resulting nonlinear system is solved using two different methods: one based on Newton-Raphson and one explicit method. (ucm.es)

To the best of our knowledge, this is the first monotone finite difference discretization of the variational p-Laplacian and also the first time that nonhomogeneous problems for this operator can be treated numerically with a finite difference scheme. (ucm.es)
2011]. In this work, we prove the first high-probability complexity results with logarithmic dependence on the confidence level for stochastic methods for solving monotone and structured non-monotone VIPs with non-sub-Gaussian (heavy-tailed) noise and unbounded domains. (neurips.cc)

This methodology is applicable for a whole range of physics problems, where the problem has to be defined in a variational form and should be able to identify the small parameters within the problem definition. (wikipedia.org)
Perturbation of mixed variational problems. (esaim-m2an.org)
I presented the latest results from my PhD research in this topic area and discussed the benefits of using globally convergent methods in variational data assimilation (VarDA) problems. (reading.ac.uk)
The overall aim of my research is to investigate the latest mathematical advances in optimisation to understand whether the solution of VarDA problems could be improved or obtained more efficiently through the use of alternative optimisation methods, whilst keeping computational cost and calculation time to a minimum. (reading.ac.uk)
The problem is solved in VarDA as a series of linear least-squares (simpler) problems using a method equivalent to the Gauss-Newton optimisation method. (reading.ac.uk)
Bhatia, D. and Kumar, P. (1996) Duality for Variational Problems with B-Vex Functions. (scirp.org)
Another remarkable advantage of discontinuous Galerkin methods has been realized in the applications to higher order problems. (iisc.ac.in)
SInce christian pointed out the connection between to the weak form I was able to derive the finite element methods for the problems I wanted to solve. (stackexchange.com)
Applications of modern mathematics to management and decision making including the solution of optimization problems using network theory, methods for optimal scheduling, voting methods, game theory, and related strategies. (uga.edu)
Many of the methods can be applied to problems in a wide variety of scientific fields, both in physics and beyond. (lu.se)

While high-probability convergence bounds are known to more accurately reflect the actual behavior of stochastic methods, most convergence results are provided in expectation. (neurips.cc)

We analyze the convergence rates of VB and PX-VB and demonstrate the superior convergence rates of PX-VB in variational probit regression and automatic relevance determination. (neurips.cc)

A popular remedy to enhance the efficiency of the numerical method is to use adaptive finite element methods based on computable a posteriori error bounds. (iisc.ac.in)

A new method for varying adaptive bandwidth selection. (crossref.org)
Discontinuous Galerkin methods play a very important role in the local mesh adaptive refinement techniques. (iisc.ac.in)

Or are you asking how to use the variational form directly as a numerical method? (stackexchange.com)

The VIM is to construct correction functionals using general Lagrange multipliers identified optimally via the variational theory and the initial approximations can be freely chosen with unknown constants. (scialert.net)
The central objective of the paper is to study variational problem where the functionals involved satisfy the above stated generalized ρ-invexity assumptions of order m. (scirp.org)

A possible application of the alternative methods would be to estimate the initial conditions for a weather forecast where the dynamical equations in this case include the physics of the earth system. (reading.ac.uk)
The analysis relies on bifurcation theory, inverse spectral theory, variational methods and infinite-dimensional dynamical systems theory. (lu.se)

In this paper, we study the stochastic variational inequality problem (SVIP) from a viewpoint of minimization of conditional value-at-risk. (aimsciences.org)
Five easy difficulties in ODEs which illustrate lifestyles of ideas from a variational viewpoint are brought within the first bankruptcy. (eav.sk)

Weather forecasting has a short time window (the forecast will no longer be useful after the weather event occurs) and so it is important to investigate alternative methods that provide an optimal solution in the given time. (reading.ac.uk)

VAM is the synergy of variational principles and asymptotic approaches. (wikipedia.org)
The founding principles of DA are rooted in Bayes' theorem, the axioms that govern probability ( Bayes, 1763 ), although similar methods arise in the field of control theory (see Talagrand, 2014 ). (frontiersin.org)
It has download variational principles and for a paper substance. (maphs.de)
A unavailable download variational principles and methods does we have Connecting to protect that link. (maphs.de)
It is download variational principles and methods in theoretical physics for another sitemap preview so you can coordinate what you are shooting and here we are what participants you give to Find. (maphs.de)
has the download variational principles and of an not many nature between epistemological energy and the New Left. (maphs.de)

Because of the variational basis of the method, the resulting system of equations is symmetric. (caltech.edu)

A method, inspired by the constrained transport remap in electromagnetics, is reviewed, according to which the zero-curl constraint on the inverse deformation gradient is implicitly satisfied. (sandia.gov)

In the beginning, the asymptotic methods are used to develop cross-sectional analysis of anisotropic beams with finite-element based solutions. (wikipedia.org)
To summarize, this method is applicable to the shape analysis of various organisms and is a useful tool for analyzing a wide variety of image data, even those with a missing segment. (biorxiv.org)
So far, a great deal of effort has been made towards shape analysis, and various methods have been proposed. (biorxiv.org)
The current status of ocean data assimilation in support of the operational demands of analysis, forecasting and reanalysis is reviewed, focusing on methods currently adopted in operational and real-time prediction systems. (frontiersin.org)
analysis methods that were the standard in the precomputer age. (ametsoc.org)
In the variational dual-Doppler analysis techniques, the solution for the wind field within the radar data gap can be obtained from mass conservation, smoothness, and background constraints, and so no special treatment of the data gap is required ( Gao et al. (ametsoc.org)
Instabilities (of hourglass type) are controlled by a stabilizing operator derived using the variational multi-scale analysis paradigm. (sandia.gov)
Methods We compared the expression levels, performed GO and KEGG analysis of NADPH oxidase family and its regulatory subunits, and determined the survival of patients with pancreatic ductal adenocarcinoma by GEPIA, David and KM plotter. (bvsalud.org)

Variational data assimilation combines two sources of information, a mathematical model and real data (e.g. satellite observations). (reading.ac.uk)
Mathematical Methods of Statistics, 6, 135–170. (crossref.org)

Furthermore, by using the smoothing techniques and the Monte Carlo methods, we propose a smoothing approximation method for finding a solution of the new reformulation and show that this method is globally convergent with probability one. (aimsciences.org)

The Gauss-Newton method is not globally convergent in the sense that the method does not guarantee convergence to a stationary point given any initial guess. (reading.ac.uk)
This is the motivation behind the investigation of newly developed, advanced numerical optimisation methods such as globally convergent methods which use safeguards to guarantee convergence from an arbitrary starting point. (reading.ac.uk)

We have used a non-variational method to study the resonant states formed by shallow donors inside and outside of quantum wells. (lu.se)

Therefore, the proposed method, which flexibly performs landmark-free feature extraction from complete and incomplete image data is a promising tool for analyzing morphological datasets in biology. (biorxiv.org)
To this end, we propose a novel method that extracts low-dimensional features to describe shapes from image data using machine learning. (biorxiv.org)
The proposed method is applied to the primate mandible image data to extract morphological features that reflect the characteristics of the groups to which the organisms belong and then those features are visualized. (biorxiv.org)
We find that the method yields satisfactory results for both two-phase and multiphase data. (escholarship.org)
We proposed a simple yet effective way to use separately trained variational models to capture the multimodality of the target distribution and demonstrated the approximation performance using several variational methods and data types. (kth.se)

The paper provides a variational method for calculating the longitudinal deformation of a shield tunnel in soft soil caused by grouting under the tunnel, which has high computational efficiency and accuracy. (emerald.com)

The classification of the Lagrange multiplier plays an import rule in the variationaliteration method and the variational theory is widely used for this purpose. (psychosocial.com)

Therefore, a systematic method for quantifying such a variety of shapes using a low-dimensional quantity is needed. (biorxiv.org)

However, conventional approaches for quantifying shapes are difficult as exemplified by the ambiguity in the landmark-based method in which anatomically prominent "landmarks" are manually annotated. (biorxiv.org)
The most common DA approaches currently employed in operational oceanography are based on either variational or ensemble methods. (frontiersin.org)
With respect to currently implemented hourglass control approaches, the novelty of the method resides in its residual-based character. (sandia.gov)

To reduce oscillations, an alternative method is proposed where in place of the volume fraction constraint, we minimize a weighted sum of the total surface area, plus the sum of squared error in reconstruction. (escholarship.org)

The use of such methods could enable us to obtain an improvement on the estimate of the initial conditions of a weather forecast within the limited time and computational cost available. (reading.ac.uk)
Extensive numerical experiments show clear computational and performance improvements over state-of-the-art methods. (arxiv.org)

Researchers at the division work on developing and applying a number of different theoretical methods and tools for quantum systems. (lu.se)
Estimates of ligand-binding affinities supported by quantum mechanical methods. (lu.se)

Inequalities9

Multiscale method1

Inequality problems2

Inference8

Algorithm6

Formulation9

Autoencoder1

Iteration4

Differential equations3

Neural Networks1

Bayesian2

Decomposition5

Approach7

Nonlinear4

Monotone2

Problems10

Stochastic methods1

Convergence rates1

Finite Element1

Adaptive2

Numerical method1

Functionals2

Dynamical2

Viewpoint2

Optimal1

Principles6

Equations1

Inverse1

Analysis8

Mathematical2

Approximation method1

Globally convergent2

Study1

Data5

Paper1

Lagrange1

Systematic1

Approaches3

Surface1

Computational2

Quantum2