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  1. A derivative-free scaling memoryless DFP method for solving large scale nonlinear monotone equations

    Quasi-Newton methods for solving nonlinear system of equations provide an attractive alternative to the Newton method in which they do not require...

    Jiayun Rao, Na Huang in Journal of Global Optimization
    Article 06 August 2022
  2. Modified Memoryless Spectral-Scaling Broyden Family on Riemannian Manifolds

    This paper presents modified memoryless quasi-Newton methods based on the spectral-scaling Broyden family on Riemannian manifolds. The method...

    Hiroyuki Sakai, Hideaki Iiduka in Journal of Optimization Theory and Applications
    Article Open access 29 May 2024
  3. Preconditioning and Scaling

    The performance of the scalable algorithms can be improved by the preconditioning and scaling adapted to the structure of the contact problem. The...
    Zdeněk Dostál, Tomáš Kozubek in Scalable Algorithms for Contact Problems
    Chapter 2023
  4. Distributed Optimization and Scaling Design for Solving Sylvester Equations

    This paper develops distributed algorithms for solving Sylvester equations. The authors transform solving Sylvester equations into a distributed...

    Songsong Cheng, **n Yu, ... Yiguang Hong in Journal of Systems Science and Complexity
    Article 11 July 2024
  5. The Probabilistic Scaling Paradigm

    In this note we further discuss the probabilistic scaling introduced by the authors in (ar**v:1910.08492, 2019) and (Invent. Math. 228, 539–686,...

    Yu Deng, Andrea R. Nahmod, Haitian Yue in Vietnam Journal of Mathematics
    Article 09 January 2024
  6. Generalized scaling for the constrained maximum-entropy sampling problem

    The best practical techniques for exact solution of instances of the constrained maximum-entropy sampling problem, a discrete-optimization problem...

    Zhongzhu Chen, Marcia Fampa, Jon Lee in Mathematical Programming
    Article 20 June 2024
  7. Epidemic modelling by birth-death processes with spatial scaling

    In epidemic modeling, interpretation of compartment quantities, such as s , i , and r in relevant equations, is not always straightforward. Ambiguities...

    Ihsan Arharas, Mohamed El Fatini, ... Roger Pettersson in Journal of Mathematics in Industry
    Article Open access 10 July 2024
  8. A Taste of Scaling Limit

    In this chapter, we overfly the scaling limit theory for random planar maps.
    Nicolas Curien in Peeling Random Planar Maps
    Chapter 2023
  9. Hybrid Kinetic/Fluid Numerical Method for the Vlasov-Poisson-BGK Equation in the Diffusive Scaling

    This shortLaidin, Tino noteRey, Thomas presents an extension of the hybrid, model-adaptation method introduced in T. Laidin, ar**v 2202.03696, 2022...
    Conference paper 2023
  10. An efficient partial parallel method with scaling step size strategy for three-block convex optimization problems

    A popular optimization model arising from image processing is the separable optimization problem whose objective function is the sum of three...

    Yaning Jiang, Deren Han, **ngju Cai in Mathematical Methods of Operations Research
    Article 19 September 2022
  11. Memoryless Quasi-Newton Methods Based on the Spectral-Scaling Broyden Family for Riemannian Optimization

    We consider iterative methods for unconstrained optimization on Riemannian manifolds. Though memoryless quasi-Newton methods are effective for...

    Yasushi Narushima, Shummin Nakayama, ... Hiroshi Yabe in Journal of Optimization Theory and Applications
    Article 22 March 2023
  12. On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances

    In this article, we study scaling laws for simplified multi-well nucleation problems without gauge invariances which are motivated by models for...

    Angkana Rüland, Antonio Tribuzio in Journal of Nonlinear Science
    Article Open access 07 January 2023
  13. Hamilton–Jacobi scaling limits of Pareto peeling in 2D

    Pareto hull peeling is a discrete algorithm, generalizing convex hull peeling, for sorting points in Euclidean space. We prove that Pareto peeling of...

    Ahmed Bou-Rabee, Peter S. Morfe in Probability Theory and Related Fields
    Article 18 September 2023
  14. Free boundary dimers: random walk representation and scaling limit

    We study the dimer model on subgraphs of the square lattice in which vertices on a prescribed part of the boundary (the free boundary) are possibly...

    Nathanaël Berestycki, Marcin Lis, Wei Qian in Probability Theory and Related Fields
    Article Open access 16 May 2023
  15. An Affine Scaling Algorithm for Biobjective Linear Programming

    Given a biobjective linear programming problem, we develop an affine scaling algorithm with min-max direction and demonstrate its convergence for an...

    Marco Antonio Figueiredo Menezes, Nelson Maculan in Journal of the Operations Research Society of China
    Article 21 June 2023
  16. Scaling relations for auxin waves

    We analyze an ‘up-the-gradient’ model for the formation of transport channels of the phytohormone auxin, through auxin-mediated polarization of the...

    Bente Hilde Bakker, Timothy E. Faver, ... Jelle van der Voort in Journal of Mathematical Biology
    Article Open access 26 September 2022
  17. On a Particular Scaling for the Prototype Anisotropic p-Laplacian

    In this brief note we show that under a volume non-preserving scaling it is possible to recover the basics for a regularity theory regarding local...
    Simone Ciani, Umberto Guarnotta, Vincenzo Vespri in Recent Advances in Mathematical Analysis
    Chapter 2023
  18. Geometric multidimensional scaling: efficient approach for data dimensionality reduction

    Multidimensional scaling (MDS) is an often-used method to reduce the dimensionality of multidimensional data nonlinearly and to present the data...

    Gintautas Dzemyda, Martynas Sabaliauskas in Journal of Global Optimization
    Article 06 June 2022
  19. Scaling Limits of Slim and Fat Trees

    We consider Galton–Watson trees conditioned on both the total number of vertices n and the number of leaves k . The focus is on the case in which both k ...

    Article 23 June 2023
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