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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... -
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... -
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...
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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... -
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....
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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...
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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...
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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)...
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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...
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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... -
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,
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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...
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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...
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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...
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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...
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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....
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High-Dimensional FFT
In this chapter, we discuss methods for the approximation of d-variate functions in high-dimension... -
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... -
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...
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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...