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  1. Classification of simple bounded weight modules of the Lie algebra of vector fields on ℂn

    Let W n + be the Lie algebra of vector fields on ℂ n . In this paper, we classify all simple bounded weight modules. Any such module is isomorphic to...

    Yaohui Xue, Rencai Lü in Israel Journal of Mathematics
    Article 20 October 2022
  2. A Novel Approach for Text Classification Using Feature Selection Algorithm and Term Weight Measures

    Text classification is a method for determining the class label of an unknown textual document. In text classification, the vector representation of...
    Ravi Kumar Palacharla, Valli Kumari Vatsavayi in Accelerating Discoveries in Data Science and Artificial Intelligence I
    Conference paper 2024
  3. Sparse optimization via vector k-norm and DC programming with an application to feature selection for support vector machines

    Sparse optimization is about finding minimizers of functions characterized by a number of nonzero components as small as possible, such paradigm...

    Manlio Gaudioso, Giovanni Giallombardo, Giovanna Miglionico in Computational Optimization and Applications
    Article Open access 12 July 2023
  4. Analysis of Heuristics for Vector Scheduling and Vector Bin Packing

    Fundamental problems in operational research are vector scheduling and vector bin packing where a set of vectors or items must be packed into a fixed...
    Lars Nagel, Nikolay Popov, ... Ze Wang in Learning and Intelligent Optimization
    Conference paper 2023
  5. The magnitude vector of images

    The magnitude of a finite metric space has recently emerged as a novel invariant quantity, allowing to measure the effective size of a metric space....

    Michael F. Adamer, Edward De Brouwer, ... Bastian Rieck in Journal of Applied and Computational Topology
    Article Open access 02 July 2024
  6. Fuzzy support vector regressions for short-term load forecasting

    The accurate short-term point and probabilistic load forecasts are critically important for efficient operation of power systems and electricity...

    Jian Luo, Yukai Zheng, ... Xueqi Yang in Fuzzy Optimization and Decision Making
    Article 14 June 2024
  7. On the positivity of high-degree Schur classes of an ample vector bundle

    Let X be a smooth projective variety of dimension n , and let E be an ample vector bundle over X . We show that any Schur class of E , lying in the...

    Article 30 September 2021
  8. Deep learning the efficient frontier of convex vector optimization problems

    In this paper, we design a neural network architecture to approximate the weakly efficient frontier of convex vector optimization problems (CVOP)...

    Zachary Feinstein, Birgit Rudloff in Journal of Global Optimization
    Article Open access 30 May 2024
  9. Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification

    Predicting the evolution of dynamics from a given trajectory history of an unknown system is an important and challenging problem. This paper...

    Sean P. McGowan, William S. P. Robertson, ... Sanjeeva Balasuriya in Journal of Nonlinear Science
    Article Open access 13 June 2024
  10. Lie Algebroids and Weight Systems

    We put the Rozansky-Witten weight systems obtained from Lie algebroids by Voglaire & Xu, into the general machine provided by Kontsevich in the...
    Cristian Anghel, Dorin Cheptea in Lie Theory and Its Applications in Physics
    Conference paper 2022
  11. Robust support vector quantile regression with truncated pinball loss (RSVQR)

    Support vector quantile regression (SVQR) adapts the flexible pinball loss function for empirical risk in regression problems. Furthermore, ...

    Barenya Bikash Hazarika, Deepak Gupta, Parashjyoti Borah in Computational and Applied Mathematics
    Article 14 August 2023
  12. Some methods to derive the priority weights from the best–worst method matrix and weight efficiency test in view of incomplete pairwise comparison matrix

    The Best–Worst Method (BWM) has been recently proposed to derive the weights of criteria using two vectors of the pairwise comparison. For BWM, the...

    Yejun Xu, Dayong Wang in Fuzzy Optimization and Decision Making
    Article 04 June 2023
  13. From finite vector field data to combinatorial dynamical systems in the sense of Forman

    We introduce a three-step method to construct on a simplicial complex a combinatorial dynamical system in the sense of Forman from vector field data...

    Dominic Desjardins Côté in Journal of Applied and Computational Topology
    Article 25 June 2024
  14. Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits

    Nature exhibits rapid evolution in response to human activities. When using natural resources for their own profit, humans should account for such...

    Maria Kleshnina, Sabrina Streipert, ... Kateřina Staňková in Dynamic Games and Applications
    Article 06 December 2023
  15. Complexity of the multiobjective minimum weight minimum stretch spanner problem

    In this paper, we take an in-depth look at the complexity of a hitherto unexplored multiobjective minimum weight minimum stretch spanner problem; or...

    Fritz Bökler, Henning Jasper in Mathematical Methods of Operations Research
    Article Open access 15 February 2024
  16. Efficient WENO-Based Prolongation Strategies for Divergence-Preserving Vector Fields

    Adaptive mesh refinement (AMR) is the art of solving PDEs on a mesh hierarchy with increasing mesh refinement at each level of the hierarchy....

    Dinshaw S. Balsara, Saurav Samantaray, Sethupathy Subramanian in Communications on Applied Mathematics and Computation
    Article Open access 16 May 2022
  17. High-Dimensional FFT

    In this chapter, we discuss methods for the approximation of d-variate functions in high-dimension...
    Gerlind Plonka, Daniel Potts, ... Manfred Tasche in Numerical Fourier Analysis
    Chapter 2023
  18. Vector Optimization (or How to Make Insurmountable Decisions)

    This chapter introduces the basic concepts of solutions for the simultaneous optimization of several objective functions and shows how to compute...
    Francisco J. Aragón-Artacho, Miguel A. Goberna in Mathematics in Politics and Governance
    Chapter 2024
  19. Measure Preserving Holomorphic Vector Fields, Invariant Anti-Canonical Divisors and Gibbs Stability

    Let X be a compact complex manifold whose anti-canonical line bundle — K X is big. We show that X admits no non-trivial holomorphic vector fields if...

    R. J. Berman in Analysis Mathematica
    Article 20 May 2022
  20. High Mathematics Meets High Finance

    Mathematics in finance has prehistoric origins, in fact it is argued that an accounting system of clay tokens used for prehistoric commerce were...
    Reference work entry 2024
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