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Polynomials are common algebraic structures, which are often used to approximate functions including probability distributions. This paper proposes to directly define polynomial distributions in order to describe stochastic properties of…

Information Theory · Computer Science 2022-12-12 Yue Yu , Pavel Loskot

Collective memory -- community members' interconnected memories and impressions of the group -- is essential to the community's culture and identity. Its development requires members' continuous participatory contribution and sensemaking.…

Human-Computer Interaction · Computer Science 2026-04-14 Zeyu Huang , Xinyi Cao , Yue Deng , Junze Li , Kangyu Yuan , Xiaojuan Ma

Simple methods permit to generalize the concepts of iteration and of recursive processes. We shall see briefly on several examples what these methods generate. In additive sequences, we shall encounter not only the golden or the silver…

Dynamical Systems · Mathematics 2012-11-20 Andrei Vieru

A dynamical theory for the evolution of the genetic code is presented, which accounts for its universality and optimality. The central concept is that a variety of collective, but non-Darwinian, mechanisms likely to be present in early…

Populations and Evolution · Quantitative Biology 2009-11-13 Kalin Vetsigian , Carl Woese , Nigel Goldenfeld

Graph compositions generalize both integer compositions and partitions of a finite set. We develop formulas, generating functions and recurrence relations for composition counting functions for several families of graphs.

Combinatorics · Mathematics 2007-05-23 A Knopfmacher , M E Mays

Traditionally, the term crowd was used almost exclusively in the context of people who self-organized around a common purpose, emotion or experience. Today, however, firms often refer to crowds in discussions of how collections of…

Computers and Society · Computer Science 2017-02-15 J. Prpic , P. P. Shukla , J. H. Kietzmann , I. P. McCarthy

Collective memory is a common representation of the past shared by a group of people that modulates its identity. Recent literature on computational social science quantifies collective memories using expressions of those memories…

Physics and Society · Physics 2026-02-27 Cristian Candia

Collective intelligence, which aggregates the shared information from large crowds, is often negatively impacted by unreliable information sources with the low quality data. This becomes a barrier to the effective use of collective…

Social and Information Networks · Computer Science 2012-10-04 Guo-Jun Qi , Charu Aggarwal , Pierre Moulin , Thomas Huang

In a multi-modeling based approach, the system under development is described by several models that represent various perspectives and concerns. Obviously, these partial representations are less complex than the global model, but they need…

Software Engineering · Computer Science 2015-12-24 Youness Laghouaouta , Adil Anwar , Mahmoud Nassar

Compositional methods are central to the development and verification of software systems. They allow to break down large systems into smaller components, while enabling reasoning about the behaviour of the composed system. For concurrent…

Logic in Computer Science · Computer Science 2020-11-12 Alex C. Keizer , Henning Basold , Jorge A. Pérez

In this work we introduce an approach for modeling and analyzing collective behavior of a group of agents using moments. We represent the group of agents via their distribution and derive a method to estimate the dynamics of the moments. We…

Optimization and Control · Mathematics 2020-04-30 Silun Zhang , Axel Ringh , Xiaoming Hu , Johan Karlsson

Under what circumstances might every extension of a combinatorial structure contain more copies of another one than the original did? This property, which we call prolificity, holds universally in some cases (e.g., finite linear orders) and…

Discrete Mathematics · Computer Science 2023-06-22 Murray Tannock , Michael Albert

Recommendation to groups of users is a challenging subfield of recommendation systems. Its key concept is how and where to make the aggregation of each set of user information into an individual entity, such as a ranked recommendation list,…

Information Retrieval · Computer Science 2023-03-14 Jorge Dueñas-Lerín , Raúl Lara-Cabrera , Fernando Ortega , Jesús Bobadilla

In this article, an overview of the background, the research approaches and the patterns of practice in the field of collaborative learning are provided. A definition of collaborative learning and an overview of fundamental aspects that…

Human-Computer Interaction · Computer Science 2022-03-31 Irene-Angelia Chounta

We present an online deliberation system using mutual evaluation in order to collaboratively develop solutions. Participants submit their proposals and evaluate each other's proposals; some of them may then be invited by the system to…

Artificial Intelligence · Computer Science 2016-12-01 Pietro Speroni di Fenizio , Cyril Velikanov

A composition of $n\in\NN$ is an ordered collection of one or more positive integers whose sum is $n$. The number of summands is called the number of parts of the composition. A palindromic composition of $n$ is a composition of $n$ in…

Combinatorics · Mathematics 2007-05-23 Silvia Heubach , Toufik Mansour

This paper introduces a new mechanism for specifying constraints in distributed workflows. By introducing constraints in a contextual form, it is shown how different people and groups within collaborative communities can cooperatively…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 G. E. Graham , M. Anzar Afaq , David Evans , Gerald Guglielmo , Eric Wicklund , Peter Love

Collective motion is ubiquitous in nature; groups of animals, such as fish, birds, and ungulates appear to move as a whole, exhibiting a rich behavioral repertoire that ranges from directed movement to milling to disordered swarming.…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Conor Heins , Beren Millidge , Lancelot da Costa , Richard Mann , Karl Friston , Iain Couzin

This is a translation. I have added translations for (possibly) outdated definitions in an appendix at the end. In this paper, we define distributive groups and show some properties of them. We then concern ourselves with the homogeinity of…

Group Theory · Mathematics 2026-05-19 C. Burstin , W. Mayer

A group of individuals wishes to classify $m$ objects into $n$ categories in such a way that no class is left empty, a condition known as surjectivity. The opinions of the individuals are aggregated separately for each object using an…

Computer Science and Game Theory · Computer Science 2026-05-21 Yuval Filmus