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This work aims to make it easier for a specialist in one field to find and explore ideas from another field which may be useful in solving a new problem arising in his practice. It presents a methodology which serves to represent the…

计算机与社会 · 计算机科学 2007-05-23 Sebastien Paquet

We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the purely modal part of the rule system. Our criterion applies…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Dirk Pattinson , Lutz Schröder

In this pedagogical text aimed at those wanting to start thinking about or brush up on probabilistic inference, I review the rules by which probability distribution functions can (and cannot) be combined. I connect these rules to the…

数据分析、统计与概率 · 物理学 2012-05-22 David W. Hogg

This paper considers a resilient high-dimensional constrained consensus problem and studies a resilient distributed algorithm for complete graphs. For convex constrained sets with a singleton intersection, a sufficient condition on…

系统与控制 · 电气工程与系统科学 2022-03-29 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

统计力学 · 物理学 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

We describe the generic modules in each component of the spaces of representations of certain string algebras. In so doing, we calculate the dimensions of higher self-extension groups for generic modules. This algorithm lends itself for use…

表示论 · 数学 2011-11-23 Andrew Thomas Carroll

We introduce Game networks (G nets), a novel representation for multi-agent decision problems. Compared to other game-theoretic representations, such as strategic or extensive forms, G nets are more structured and more compact; more…

计算机科学与博弈论 · 计算机科学 2024-01-18 Pierfrancesco La Mura

The widespread deployment of machine learning systems in critical real-world decision-making applications has highlighted the urgent need for counterfactual explainability methods that operate effectively. Global counterfactual…

In this Letter we present a new perspective for the study of the Public Goods games on complex networks. The idea of our approach is to consider a realistic structure for the groups in which Public goods games are played. Instead of…

物理与社会 · 物理学 2015-05-30 Jesús Gómez-Gardeñes , Daniele Vilone , Angel Sánchez

In this article, we study the large-population limit of interacting particle systems posed on weighted random graphs. In that aim, we introduce a general framework for the construction of weighted random graphs, generalizing the concept of…

偏微分方程分析 · 数学 2023-07-25 Nathalie Ayi , Nastassia Pouradier Duteil

Average consensus (AC) strategies play a key role in every system that employs cooperation by means of distributed computations. To promote consensus, an $N$-agent network can repeatedly combine certain node estimates until their mean value…

最优化与控制 · 数学 2025-02-25 Ricardo Merched

In this paper we are concerned with the learnability of nonlocal interaction kernels for first order systems modeling certain social interactions, from observations of realizations of their dynamics. This paper is the first of a series on…

动力系统 · 数学 2016-02-17 Mattia Bongini , Massimo Fornasier , Markus Hansen , Mauro Maggioni

Mimicking the idea of the generalized Hamming weight of linear codes, we introduce a new lattice invariant, the generalized theta series. Applications range from identifying stable lattices to the lattice isomorphism problem. Moreover, we…

信息论 · 计算机科学 2025-07-31 Maiara F. Bollauf , Hsuan-Yin Lin

When creating (open) agent systems it has become common practice to use social concepts such as social practices, norms and conventions to model the way the interactions between the agents are regulated. However, in the literature most…

多智能体系统 · 计算机科学 2021-01-07 René Mellema , Maarten Jensen , Frank Dignum

Constraint Handling Rules provide descriptions for constraint solvers. However, they fall short when those constraints specify some binding structure, like higher-rank types in a constraint-based type inference algorithm. In this paper, the…

计算机科学中的逻辑 · 计算机科学 2017-07-11 Alejandro Serrano , Jurriaan Hage

Several methods have recently been developed for joint structure learning of multiple (related) graphical models or networks. These methods treat individual networks as exchangeable, such that each pair of networks are equally encouraged to…

统计方法学 · 统计学 2014-06-03 Chris J. Oates , Sach Mukherjee

We study a networked system of innovation processes, where each process is modeled as an urn with infinitely many colors-a classical framework for capturing the emergence of novelties. Extending this paradigm, we analyze a model of…

统计方法学 · 统计学 2026-03-04 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

This project considers Capsule Networks, a recently introduced machine learning model that has shown promising results regarding generalization and preservation of spatial information with few parameters. The Capsule Network's inner routing…

机器学习 · 计算机科学 2020-01-10 Gonçalo Faria

This paper presents a particle-based optimization method designed for addressing minimization problems with equality constraints, particularly in cases where the loss function exhibits non-differentiability or non-convexity. The proposed…

最优化与控制 · 数学 2026-03-31 José A. Carrillo , Shi Jin , Haoyu Zhang , Yuhua Zhu

In this study we present an extension of the replicator equation with diffusion to multiplex graphs. We derive an exact formula for the diffusion term, which shows that, while diffusion is linear for numbers of agents, it is necessary to…

物理与社会 · 物理学 2016-08-10 Rubén J. Requejo , Albert Díaz Guilera