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League competition is investigated using random processes and scaling techniques. In our model, a weak team can upset a strong team with a fixed probability. Teams play an equal number of head-to-head matches and the team with the largest…

物理与社会 · 物理学 2007-08-13 E. Ben-Naim , N. W. Hengartner

We propose new algorithms for generating $k$-statistics, multivariate $k$-statistics, polykays and multivariate polykays. The resulting computational times are very fast compared with procedures existing in the literature. Such speeding up…

统计理论 · 数学 2008-08-01 E. Di Nardo , G. Guarino , D. Senato

We present a general algorithm to order moves so as to speedup exact game solvers. It uses online learning of playout policies and Monte Carlo Tree Search. The learned policy and the information in the Monte Carlo tree are used to order…

人工智能 · 计算机科学 2020-01-16 Tristan Cazenave

We develop value iteration-based algorithms to solve in a unified manner different classes of combinatorial zero-sum games with mean-payoff type rewards. These algorithms rely on an oracle, evaluating the dynamic programming operator up to…

计算机科学与博弈论 · 计算机科学 2024-11-12 Xavier Allamigeon , Stéphane Gaubert , Ricardo D. Katz , Mateusz Skomra

Leverage score sampling is crucial to the design of randomized algorithms for large-scale matrix problems, while the computation of leverage scores is a bottleneck of many applications. In this paper, we propose a quantum algorithm to…

量子物理 · 物理学 2023-09-19 Changpeng Shao

Fireworks algorithm is a new type of intelligent optimization algorithm. Because of its fast convergence speed, easy implementation, explosiveness, diversity, simplicity and randomness, it has attracted more and more attention in many…

神经与进化计算 · 计算机科学 2022-08-16 Zhao Zhigang , Li Zhimei , Mo Haimiao , Zeng Min

Categorical resolution of singularities has been constructed in arXiv:1212.6170. It proceeds by alternating two steps of seemingly different nature. We show how to use the formalism of filtered derived categories to combine the two steps…

代数几何 · 数学 2018-09-10 D. Kaledin , A. Kuznetsov

The score sequence of a tournament is the sequence of the out-degrees of its vertices arranged in nondecreasing order. The problem of counting score sequences of a tournament with $n$ vertices is more than 100 years old (MacMahon 1920). In…

We propose a simple linear-time on-line algorithm for constructing a position heap for a string [Ehrenfeucht et al, 2011]. Our definition of position heap differs slightly from the one proposed in [Ehrenfeucht et al, 2011] in that it…

数据结构与算法 · 计算机科学 2015-03-19 Gregory Kucherov

We study the multi-level bottleneck assignment problem (MBA), which has important applications in scheduling and quantitative finance. Given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of…

计算复杂性 · 计算机科学 2019-10-29 Trivikram Dokka , Marc Goerigk

In this paper, we investigate the blow-up phenomenon of the $H^2$ norm of solutions to the inhomogeneous biharmonic Schrodinger equation in two distinct scenarios. First, we consider the case of negative energy, analyzing separately the…

偏微分方程分析 · 数学 2025-07-09 Renzo Scarpelli , Maicon Hespanha

We explain a highly efficient algorithm for playing the simplest type of dots and boxes endgame optimally (by which we mean "in such a way so as to maximise the number of boxes that you take"). The algorithm is sufficiently simple that it…

组合数学 · 数学 2014-05-19 Kevin Buzzard , Michael Ciere

We present a new compositional approach to compositional game theory (CGT) based upon Arrows, a concept originally from functional programming, closely related to Tambara modules, and operators to build new Arrows from old. We model…

计算机科学中的逻辑 · 计算机科学 2021-01-29 Robert Atkey , Bruno Gavranović , Neil Ghani , Clemens Kupke , Jérémy Ledent , Fredrik Nordvall Forsberg

In this paper, a new continuous scoring system for soccer is proposed, based on the proportion of time that a team is winning, losing or tied. Several simulations are made applying this technique to complete seasons of different leagues. As…

应用统计 · 统计学 2018-03-22 Manuel Cruz , Sandra Ramos , Miguel Pinho

In this note, we reconcile two approaches that have been used to construct stringy multiplications. The pushing forward after pulling back that has been used to give a global stringy extension of the functors K_0,K^{top},A^*,H^* [CR, FG,…

代数几何 · 数学 2007-05-23 Ralph M. Kaufmann

The generalized, two-component Hunter-Saxton system comprises several well-known models of fluid dynamics and serves as a tool for the study of one-dimensional fluid convection and stretching. In this article a general representation…

偏微分方程分析 · 数学 2014-11-13 Alejandro Sarria

The solution to the supersymmetric FCNC problem may not have a simple field theory interpretation. Here I advocate a possibility based on string selection rules. The requirement of non--trivial Yukawa structures restricts the form of the…

高能物理 - 唯象学 · 物理学 2007-05-23 Oleg Lebedev

Zielonka's classic recursive algorithm for solving parity games is perhaps the simplest among the many existing parity game algorithms. However, its complexity is exponential, while currently the state-of-the-art algorithms have…

计算机科学与博弈论 · 计算机科学 2023-06-22 Karoliina Lehtinen , Paweł Parys , Sven Schewe , Dominik Wojtczak

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the…

高能物理 - 理论 · 物理学 2010-02-03 Riei Ishizeki , Martin Kruczenski , Marcus Spradlin , Anastasia Volovich

Compactification of the heterotic string on toroidal orbifolds is a promising set-up for the construction of realistic unified models of particle physics. The target space dynamics of such models, however, drives them slightly away from the…

高能物理 - 理论 · 物理学 2011-11-28 Michael Blaszczyk , Nana Geraldine Cabo Bizet , Hans Peter Nilles , Fabian Ruehle