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

Probability · Mathematics 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…

Data Structures and Algorithms · Computer Science 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.

Combinatorics · Mathematics 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…

Computation · Statistics 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

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

Combinatorics · Mathematics 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…

Computation · Statistics 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…

Numerical Analysis · Mathematics 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…

Numerical Analysis · Mathematics 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…

General Mathematics · Mathematics 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…

Quantum Physics · Physics 2008-02-03 Dong Pyo Chi , Jinsoo Kim

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

Data Structures and Algorithms · Computer Science 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…

Mathematical Physics · Physics 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…

Combinatorics · Mathematics 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.

High Energy Physics - Lattice · Physics 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…

Commutative Algebra · Mathematics 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…

Optimization and Control · Mathematics 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…

Computation · Statistics 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…

High Energy Physics - Lattice · Physics 2009-09-29 Wolfram Schroers
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