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What Have We Not Learned from the Convergence Debate?
Mathematics, 2023 We argue that the alternative hypotheses about cross-country convergence dynamics, namely the Conditional Convergence Hypothesis, Absolute Convergence Hypothesis, and Club Convergence hypothesis, build upon different modelling choices and answer ...
Leone Leonida
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Convergence Analysis of the FOCUSS Algorithm
IEEE Transactions on Neural Networks and Learning Systems, 2015 FOCal Underdetermined System Solver (FOCUSS) is a powerful tool for sparse representation and underdetermined inverse problems, which is extremely easy to implement. In this paper, we give a comprehensive convergence analysis on the FOCUSS algorithm towards establishing a systematic convergence theory by providing three primary contributions as follows.
Kan Xie, Zhaoshui He, Andrzej Cichocki
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Convergence analysis of the Quickprop method [PDF]
IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339), 2003 A mathematical framework for the convergence analysis of the well known Quickprop method is described. The convergence of this method is analyzed. Furthermore, we present modifications of the algorithm that exhibit improved convergence speed and stability and at the same time, alleviate the use of heuristic learning parameters.
Michael N. Vrahatis +2 more
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The Classical Approach to Convergence Analysis [PDF]
The Economic Journal, 1996 The concepts of sigma-convergence, absolute beta-convergence and conditional beta-convergence are discussed in this paper. The concepts are applied to a variety of data sets that include a large cross-section of 110 countries, the subsample of OECD countries, the states within the United States, the prefectures of Japan, and regions within several ...
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Extended domain for fifth convergence order schemes
Cubo, 2021 We provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations.
Ioannis K. Argyros, Santhosh George
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Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques
Axioms, 2021 This manuscript presents an efficient pair of hybrid Nyström techniques to solve second-order Lane–Emden singular boundary value problems directly. One of the proposed strategies uses three off-step points.
Mufutau Ajani Rufai, Higinio Ramos
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Discretization of Learned NETT Regularization for Solving Inverse Problems
Journal of Imaging, 2021 Deep learning based reconstruction methods deliver outstanding results for solving inverse problems and are therefore becoming increasingly important. A recently invented class of learning-based reconstruction methods is the so-called NETT (for Network ...
Stephan Antholzer, Markus Haltmeier
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Mathematics, 2022 The main aim of this paper is twofold. Our first objective is to study a new system of generalized multivalued variational-like inequalities in Banach spaces and to establish its equivalence with a system of fixed point problems utilizing the concept of ...
Javad Balooee +3 more
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Hermite Fitted Block Integrator for Solving Second-Order Anisotropic Elliptic Type PDEs
Fractal and Fractional, 2022 A Hermite fitted block integrator (HFBI) for numerically solving second-order anisotropic elliptic partial differential equations (PDEs) was developed, analyzed, and implemented in this study.
Emmanuel Oluseye Adeyefa +3 more
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Convergence analysis of swarm algorithm [PDF]
2009 World Congress on Nature & Biologically Inspired Computing (NaBIC), 2009 Swarm Intelligence (SI) is an innovative distributed intelligent paradigm whereby the collective behaviors of unsophisticated individuals interacting locally with their environment cause coherent functional global patterns to emerge. Although the swarm algorithms have exhibited good performance across a wide range of application problems, it is ...
Hongbo Liu 0001 +2 more
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