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In this note, we find a new way to prove several properties of 2-alternating capacities.

概率论 · 数学 2013-07-04 Guangyan Jia , Na Zhang

In this paper we consider a scenario where there are several algorithms for solving a given problem. Each algorithm is associated with a probability of success and a cost, and there is also a penalty for failing to solve the problem. The…

数据结构与算法 · 计算机科学 2020-08-11 Shlomo Moran , Irad Yavneh

We present an algorithm to find invariant poynomial transformations of integer sequences, using the classical invariant theory approach.

组合数学 · 数学 2012-10-02 Leonid Bedratyuk

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

统计计算 · 统计学 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Binomial Theorem for (N+n)^r is described with non-commuting variables N and n.

组合数学 · 数学 2011-12-23 Moa Apagodu , Patrick Gaskill , Shalosh B. Ekhad

We would like to congratulate the authors of "A Bayesian Conjugate Gradient Method" on their insightful paper, and welcome this publication which we firmly believe will become a fundamental contribution to the growing field of probabilistic…

统计计算 · 统计学 2019-08-09 Francois-Xavier Briol , Francisco A. Diaz De la O , Peter O. Hristov

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

For a continuous function $f$ defined on a closed and bounded domain, there is at least one maximum and one minimum. First, we introduce some preliminaries which are necessary through the paper. We then present an algorithm, which is…

数值分析 · 数学 2021-08-31 Fatih Idiz

A class of restarted randomized surrounding methods are presented to accelerate the surrounding algorithms by restarted techniques for solving the linear equations. Theoretical analysis prove that the proposed method converges under the…

数值分析 · 数学 2022-07-12 Junfeng Yin , Nan Li , Ning Zheng

The paper describes a new algorithm of construction of the nonlinear arithmetic triangle on the basis of numerical simulation and the binary system. It demonstrates that the numbers that fill the nonlinear arithmetic triangle may be…

综合数学 · 数学 2013-03-12 Alexander V. Yurkin

In this paper, we give a quantum algorithm which solves collision problem in an expected polynomial time. Especially, when the function is two-to-one, we present a quantum algorithm which can find a collision with certainty in a worst-case…

量子物理 · 物理学 2008-02-03 Dong Pyo Chi , Jinsoo Kim

A linear time algorithm to find a set of nearest elements in a mesh.

数据结构与算法 · 计算机科学 2011-10-04 Gleb Novichkov

We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter $\lambda$. These $\lambda$-Griffiths polynomials are bivariate, bispectral and biorthogonal. For two specific values of the parameter…

数学物理 · 物理学 2023-11-07 N. Crampe , L. Frappat , J. Gaboriaud , E. Ragoucy , L. Vinet , M. Zaimi

An algorithm is presented that generates sets of size equal to the degree of a given variety defined by a homogeneous ideal. This algorithm suggests a versatile framework to study various problems in combinatorial algebraic geometry and…

组合数学 · 数学 2023-06-02 Ada Stelzer , Alexander Yong

We present a general method to construct multiple mass solvers from standard algorithms. As an example, the BiCGstab-M algorithm is derived.

高能物理 - 格点 · 物理学 2009-10-30 B. Jegerlehner

In our previous paper an effective algorithm for inverting polynomial automorphisms was proposed. We extend its application to the case of formal power series over a field of arbitrary characteristic and illustrate the proposed approach…

交换代数 · 数学 2026-03-31 Elżbieta Adamus

A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the proposed method through the employment of multiple interacting…

最优化与控制 · 数学 2025-06-23 Michael Herty , Yuyang Huang , Dante Kalise , Hicham Kouhkouh

Here we discuss advances in the field of quantum machine learning. The following document offers a hybrid discussion; both reviewing the field as it is currently, and suggesting directions for further research. We include both algorithms…

A fast algorithm for B-splines in mixed models is presented. B-splines have local support and are computational attractive, because the corresponding matrices are sparse. A key element of the new algorithm is that the local character of…

统计计算 · 统计学 2015-02-17 Martin P. Boer

This thesis is focused on the implementation and the application of a novel kind of algorithm which is expected to overcome the limitations of older schemes. This new algorithm is named Multiboson Method. It allows to simulate an arbitrary…

高能物理 - 格点 · 物理学 2009-09-29 Wolfram Schroers
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