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Given a set of n balls each colored with a color, a ball is said to be majority, k-majority, plurality if its color class has size larger than half of the number of balls, has size at least k, has size larger than any other color class;…

A situation calculus is presented that provides a solution to the frame problem for hierarchical situations, that is, situations that have a modular structure in which parts of the situation behave in a relatively independent manner. This…

人工智能 · 计算机科学 2007-05-23 David A. Plaisted

Linear differential equations of arbitrary order with polynomial coefficients are considered. Specifically, necessary and sufficient conditions for the existence of polynomial solutions of a given degree are obtained for these equations. An…

数学物理 · 物理学 2011-09-27 H. Azad , A. Laradji , M. T. Mustafa

The bivariate difference field provides an algebraic framework for a sequence satisfying a recurrence of order two. Based on this, we focus on sequences satisfying a recurrence of higher order, and consider the multivariate difference…

组合数学 · 数学 2024-01-26 Lixin Du , Yarong Wei

If an AI system makes decisions over time, how should we evaluate how aligned it is with a group of stakeholders (who may have conflicting values and preferences)? In this position paper, we advocate for consideration of temporal aspects…

人工智能 · 计算机科学 2024-11-19 Toryn Q. Klassen , Parand A. Alamdari , Sheila A. McIlraith

Biclustering involves the simultaneous clustering of objects and their attributes, thus defining local two-way clustering models. Recently, efficient algorithms were conceived to enumerate all biclusters in real-valued datasets. In this…

机器学习 · 计算机科学 2015-06-04 Saullo Haniell Galvão de Oliveira , Rosana Veroneze , Fernando José Von Zuben

Prominent ethical and policy issues such as affirmative action and female enrollment in science and engineering revolve around the idea that diversity is good. However, even though diversity is an ambiguous concept, a precise definition is…

物理与社会 · 物理学 2008-03-10 Mathieu Bouville

One strategy in response to pluralistic values in a user population is to personalize an AI system: if the AI can adapt to the specific values of each individual, then we can potentially avoid many of the challenges of pluralism.…

人工智能 · 计算机科学 2024-10-17 Nandhini Swaminathan , David Danks

We propose a probabilistic model to aggregate the answers of respondents answering multiple-choice questions. The model does not assume that everyone has access to the same information, and so does not assume that the consensus answer is…

机器学习 · 统计学 2017-03-16 John McCoy , Drazen Prelec

For the longest time, languages have been competing for their speakers to survive, although this problem has only recently gained rigorous attention from the scholarly community as a means to address the risk of losing speakers for the…

动力系统 · 数学 2023-06-16 Chami Kariyapperuma , Kushani De Silva

Game semantics and winning strategies offer a potential conceptual bridge between semantics and proof systems of logics. We illustrate this link for hybrid logic -- an extension of modal logic that allows for explicit reference to worlds…

计算机科学中的逻辑 · 计算机科学 2022-06-02 Robert Freiman

Hybrid crowd-machine classifiers can achieve superior performance by combining the cost-effectiveness of automatic classification with the accuracy of human judgment. This paper shows how crowd and machines can support each other in…

机器学习 · 计算机科学 2021-01-25 Evgeny Krivosheev , Fabio Casati , Alessandro Bozzon

Sudoku is a popular combinatorial puzzle. A new method of solving Sudoku is presented, which involves formulating a puzzle as a special type of transportation problem. This model allows one to solve puzzles with more than one solution,…

数据结构与算法 · 计算机科学 2012-10-10 Mansour Moufid

We compare different actual forms of democracy and analyse in which way they are variations of a 'natural consensus decision process'. We analyse how 'consensus decision followed by majority voting' is open to 'false play' by the majority,…

物理与社会 · 物理学 2010-04-16 Diederik Aerts

The paper "Is Complexity an Illusion?" (Bennett, 2024) provides a formalism for complexity, learning, inference, and generalization, and introduces a formal definition for a "policy". This reply shows that correct policies do not exist for…

人工智能 · 计算机科学 2024-11-15 Gabriel Simmons

The paper advocates for LLMs to enhance the accessibility, usage and explainability of rule-based legal systems, contributing to a democratic and stakeholder-oriented view of legal technology. A methodology is developed to explore the…

人工智能 · 计算机科学 2023-11-21 Marco Billi , Alessandro Parenti , Giuseppe Pisano , Marco Sanchi

Opinion summarisation is a task that aims to condense the information presented in the source documents while retaining the core message and opinions. A summary that only represents the majority opinions will leave the minority opinions…

计算与语言 · 计算机科学 2023-06-08 Nannan Huang , Lin Tian , Haytham Fayek , Xiuzhen Zhang

Across neuroscience, artificial intelligence, and related fields, dominant models of intelligence typically privilege convergence: uncertainty is reduced, competing explanations are eliminated, and behaviour is governed by the optimisation…

神经元与认知 · 定量生物学 2026-01-21 Alexander D Shaw

A general method for solving linear differential equations of arbitrary order, is used to arrive at new representations for the solutions of the known differential equations, both without and with a source term. A new quasi-solvable…

数学物理 · 物理学 2008-04-24 N. Gurappa , Pankaj K. Jha , Prasanta K. Panigrahi

Integrating diverse formalisms into modular knowledge representation systems offers increased expressivity, modeling convenience and computational benefits. We introduce concepts of abstract modules and abstract modular systems to study…

人工智能 · 计算机科学 2013-12-24 Yuliya Lierler , Miroslaw Truszczynski