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Group-Strategyproof Irresolute Social Choice Functions

AAAI Conferences

An important problem in voting is that agents may misrepresent their preferences in order to obtain a more preferred outcome. Unfortunately, this phenomenon has been shown to be inevitable in the case of resolute, i.e., single-valued, social choice functions. In this paper, we introduce a variant of Maskin-monotonicity that completely characterizes the class of pairwise irresolute social choice functions that are group-strategyproof according to Kelly's preference extension.The class is narrow but contains a number of appealing Condorcet extensions such as the minimal covering set and the bipartisan set, thereby answering a question raised independently by Barbera (1977) and Kelly (1977). These functions furthermore encourage participation and thus do not suffer from the no-show paradox (under Kelly's extension).


An Agent Architecture for Prognostic Reasoning Assistance

AAAI Conferences

In this paper we describe a software assistant agent that can proactively assist human users situated in a time-constrained environment to perform normative reasoning--reasoning about prohibitions and obligations--so that the user can focus on her planning objectives. In order to provide proactive assistance, the agent must be able to 1) recognize the user's planned activities, 2) reason about potential needs of assistance associated with those predicted activities, and 3) plan to provide appropriate assistance suitable for newly identified user needs. To address these specific requirements, we develop an agent architecture that integrates user intention recognition, normative reasoning over a user's intention, and planning, execution and replanning for assistive actions. This paper presents the agent architecture and discusses practical applications of this approach.


Refutation in Dummett Logic Using a Sign to Express the Truth at the Next Possible World

AAAI Conferences

In this paper we use the Kripke semantics characterization of Dummett logic to introduce a new way of handling non-forced formulas in tableau proof systems. We pursue the aim of reducing the search space by strictly increasing the number of forced propositional variables after the application of non-invertible rules. The focus of the paper is on a new tableau system for Dummett logic, for which we have an implementation.


RCC8 Is Polynomial on Networks of Bounded Treewidth

AAAI Conferences

A tree decomposition We construct an homogeneous (and ฯ‰-categorical) of a constraint network is a tree decomposition of its constraint representation of the relation algebra RCC8, which graph: roughly speaking, a decomposition defines a is one of the fundamental formalisms for spatial set of subnetworks that can be glued together in a treelike reasoning. As a consequence we obtain that the manner. The width of such a decomposition, then, is the size network consistency problem for RCC8 can be of the largest subnetwork in the decomposition (in terms of solved in polynomial time for networks of bounded the variables in the network).



Recommender Systems: Missing Data and Statistical Model Estimation

AAAI Conferences

The personalization aspect of recommender systems makes them well suited to applications in The goal of rating-based recommender systems is electronic commerce and entertainment, while the fact that to make personalized predictions and recommendations they do not rely on text-based descriptions of items makes for individual users by leveraging the preferences them well suited to content like movies and music. of a community of users with respect to a In this paper, we focus on a key problem in rating-based collection of items like songs or movies. Recommender collaborative filtering: the possibility of a basic incompatibility systems are often based on intricate statistical between the properties of recommender system data sets models that are estimated from data sets containing and the assumptions required for valid estimation and evaluation a very high proportion of missing ratings. of statistical models in the presence of missing data. This work describes evidence of a basic incompatibility We describe properties of recommender system data sets and between the properties of recommender relate them to the statistical theory of model estimation in system data sets and the assumptions required for the presence of nonrandom missing data. We describe an valid estimation and evaluation of statistical models extended modelling framework and a modified set of evaluation in the presence of missing data. We discuss the protocols for dealing with nonrandom missing data.


Translating First-Order Theories into Logic Programs

AAAI Conferences

This paper focuses on computing first-order theories under either stable model semantics or circumscription. A reduction from first-order theories to logic programs under stable model semantics over finite structures is proposed, and an embedding of circumscription into stable model semantics is also given. Having such reduction and embedding, reasoning problems represented by first-order theories under these two semantics can then be handled by using existing answer set solvers. The effectiveness of this approach in computing hard problems beyond NP is demonstrated by some experiments.


Relating the Semantics of Abstract Dialectical Frameworks and Standard AFs

AAAI Conferences

One criticism often advanced against abstract argumentation frameworks (AFs), is that these consider only one form of interaction between atomic arguments: specifically that an argument attacks another. Attempts to broaden the class of relationships include bipolar frameworks, where arguments support others, and abstract dialectical frameworks (ADFs). The latter, allow "acceptance'' of an argument, x, to be predicated on a given propositional function, C_x, dependent on the corresponding acceptance of its parents, i.e. those y for which occurs. Although offering a richly expressive formalism subsuming both standard and bipolar AFs, an issue that arises with ADFs is whether this expressiveness is achieved in a manner that would be infeasible within standard AFs. Can the semantics used in ADFs be mapped to some AF semantics? How many arguments are needed in an AF to "simulate'' an ADF? We show that (in a formally defined sense) any ADF can be simulated by an AF of similar size and that this translation can be realised by a polynomial time algorithm.


Manipulation in Group Argument Evaluation

AAAI Conferences

Given an argumentation framework and a group of agents, the individuals may have divergent opinions on the status of the arguments. If the group needsto reach a common position on the argumentation framework, the question is how the individual evaluations can be mapped into a collective one. Thisproblem has been recently investigated by Caminada and Pigozzi. In this paper, we investigate the behaviour of two of such operators from a socialchoice-theoretic point of view. In particular, we study under which conditions these operators are Pareto optimal and whether they are manipulable.


Adaptation of a Mixture of Multivariate Bernoulli Distributions

AAAI Conferences

The mixture of multivariate Bernoulli distributions (MMB) is a statistical model for high-dimensional binary data in widespread use. Recently, the MMB has been used to model the sequence of packet receptions and losses of wireless links in sensor networks. Given an MMB trained on long data traces recorded from links of a deployed network, one can then use samples from the MMB to test different routing algorithms for as long as desired. However, learning an accurate model for a new link requires collecting from it long traces over periods of hours, a costly process in practice (e.g. limited battery life). We propose an algorithm that can adapt a preexisting MMB trained with extensive data to a new link from which very limited data is available. Our approach constrains the new MMB's parameters through a nonlinear transformation of the existing MMB's parameters. The transformation has a small number of parameters that are estimated using a generalized EM algorithm with an inner loop of BFGS iterations. We demonstrate the efficacy of the approach using the MNIST dataset of handwritten digits, and wireless link data from a sensor network. We show we can learn accurate models from data traces of about 1 minute, about 10 times shorter than needed if training an MMB from scratch.