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A theory is NIP (resp. stable) if and only if every formula with parameters in two single variables is NIP (resp. does not have the order property).

逻辑 · 数学 2021-03-30 Pierre Simon

We propose two solution concepts for matchings under preferences: robustness and near stability. The former strengthens while the latter relaxes the classic definition of stability by Gale and Shapley (1962). Informally speaking, robustness…

计算机科学与博弈论 · 计算机科学 2019-06-06 Jiehua Chen , Piotr Skowron , Manuel Sorge

We consider the problems of characterizing and testing the stability of cellular automata configurations that evolve on a two-dimensional torus according to threshold rules with respect to the von-Neumann neighborhood. While stable…

数据结构与算法 · 计算机科学 2025-07-22 Yonatan Nakar , Dana Ron

Estimation of structure, such as in variable selection, graphical modelling or cluster analysis is notoriously difficult, especially for high-dimensional data. We introduce stability selection. It is based on subsampling in combination with…

统计方法学 · 统计学 2009-05-16 Nicolai Meinshausen , Peter Buehlmann

In this paper, we demonstrate that in many NP-complete variants of the stable matching problem, such as the Stable Hypergraph Matching problem, the Stable Multicommodity Flow problem, and the College Admission problem with common quotas, a…

计算机科学与博弈论 · 计算机科学 2025-02-11 Gergely Csáji

We study the binary perceptron, a random constraint satisfaction problem that asks to find a Boolean vector in the intersection of independently chosen random halfspaces. A striking feature of this model is that at every positive constraint…

计算复杂性 · 计算机科学 2026-04-02 Shuyang Gong , Brice Huang , Shuangping Li , Mark Sellke

We describe the notion of stability of coherent systems as a framework to deal with redundancy. We define stable coherent systems and show how this notion can help the design of reliable systems. We demonstrate that the reliability of…

We prove a H\"{o}lder-logarithmic stability estimate for the problem of finding a sufficiently regular compactly supported function $v$ on $\mathbb{R}^d$ from its Fourier transform $\mathcal{F} v$ given on $[-r,r]^d$. This estimate relies…

经典分析与常微分方程 · 数学 2020-11-12 Mikhail Isaev , Roman G. Novikov

We consider five different peer-to-peer file sharing systems with two chunks, with the aim of finding chunk selection algorithms that have provably stable performance with any input rate and assuming non-altruistic peers who leave the…

操作系统 · 计算机科学 2018-10-24 Ilkka Norros , Hannu Reittu , Timo Eirola

We consider a many-to-one variant of the stable matching problem. More concretely, we consider the variant of the stable matching problem where one side has a matroid constraint. Furthermore, we consider the situation where the preference…

计算机科学与博弈论 · 计算机科学 2022-09-08 Naoyuki Kamiyama

We show that the ratio of matched individuals to blocking pairs grows linearly with the number of propose--accept rounds executed by the Gale--Shapley algorithm for the stable marriage problem. Consequently, the participants can arrive at…

数据结构与算法 · 计算机科学 2012-05-15 Patrik Floréen , Petteri Kaski , Valentin Polishchuk , Jukka Suomela

We revisit the problem of existence of stable systems of contracts with arbitrary sets of contracts. We show that stable sets of contracts exists if choices of agents satisfy path-independence. We call such choice functions Plott functions.…

组合数学 · 数学 2021-08-17 Vladimir I. Danilov , Gleb A. Koshevoy

Colloquially, there are two groups, $n$ men and $n$ women, each man (woman) ranking women (men) as potential marriage partners. A complete matching is called stable if no unmatched pair prefer each other to their partners in the matching.…

组合数学 · 数学 2024-06-18 Boris Pittel

Let $\mathcal{H}_0$ denote the set of all sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\ID$, normalized with $h(0)=g(0)=g'(0)=0$ and $h'(0)=1$. In this paper, we investigate some properties of certain subclasses…

复变函数 · 数学 2023-03-14 Gang Liu , Saminathan Ponnusamy , Victor V. Starkov

Two genres of heuristics that are frequently reported to perform much better on "real-world" instances than in the worst case are greedy algorithms and local search algorithms. In this paper, we systematically study these two types of…

数据结构与算法 · 计算机科学 2017-07-03 Vaggos Chatziafratis , Tim Roughgarden , Jan Vondrak

The aim of this paper is to present a new fast-convergent numerically stable space-time adaptive processing (STAP) algorithm derived using a novel technique of feedback orthogonalization. The main advantages of this approach lie in its…

天体物理仪器与方法 · 物理学 2010-08-26 Vasily A. Khlebnikov , Kristian Zarb Adami

We have numerically explored the stable planetary geometry for the multiple systems involved in a 2:1 mean motion resonance, and herein we mainly study the HD 82943 system by employing two sets of the orbital parameters (Mayor et al. 2004;…

天体物理学 · 物理学 2007-05-23 Ji Jianghui , H. Kinoshita , Liu Lin , H. Nakai , Li Guangyu

Stable matching is a fundamental problem studied both in economics and computer science. The task is to find a matching between two sides of agents that have preferences over who they want to be matched with. A matching is stable if no pair…

计算机科学与博弈论 · 计算机科学 2024-03-11 Juho Hirvonen , Sara Ranjbaran

We consider the possibility of the existence of a stable massive charged particle by a minimal extension of the standard model particle content. Absolute stability in the case of singly charged particle is not possible if the usual doublet…

综合物理 · 物理学 2012-07-20 G. Rajasekaran

We present several first-order and second-order numerical schemes for the Cahn-Hilliard equation with discrete unconditional energy stability. These schemes stem from the generalized Positive Auxiliary Variable (gPAV) idea, and require only…

数值分析 · 数学 2020-10-28 Yanxia Qian , Zhiguo Yang , Fei Wang , Suchuan Dong