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Related papers: Decision Making with Interval Influence Diagrams

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We present a new algorithm for exactly solving decision making problems represented as influence diagrams. We do not require the usual assumptions of no forgetting and regularity; this allows us to solve problems with simultaneous decisions…

Artificial Intelligence · Computer Science 2015-03-19 Denis Deratani Mauá , Cassio Polpo de Campos , Marco Zaffalon

Influence maximization is the task of selecting a small number of seed nodes in a social network to maximize the influence spread from these seeds. It has been widely investigated in the past two decades. In the canonical setting, the…

Social and Information Networks · Computer Science 2022-02-21 Zhijie Zhang , Wei Chen , Xiaoming Sun , Jialin Zhang

We report on work towards flexible algorithms for solving decision problems represented as influence diagrams. An algorithm is given to construct a tree structure for each decision node in an influence diagram. Each tree represents a…

Artificial Intelligence · Computer Science 2013-02-18 Michael C. Horsch , David L. Poole

The belief network is a well-known graphical structure for representing independences in a joint probability distribution. The methods, which perform probabilistic inference in belief networks, often treat the conditional probabilities…

Artificial Intelligence · Computer Science 2013-03-26 Richard E. Neapolitan , James Kenevan

This essay looks at decision-making with interval-valued probability measures. Existing decision methods have either supplemented expected utility methods with additional criteria of optimality, or have attempted to supplement the…

Artificial Intelligence · Computer Science 2013-04-15 Ronald P. Loui

This paper demonstrates a method for using belief-network algorithms to solve influence diagram problems. In particular, both exact and approximation belief-network algorithms may be applied to solve influence-diagram problems. More…

Artificial Intelligence · Computer Science 2013-04-10 Gregory F. Cooper

If a piece of information is released from a media site, can it spread, in 1 month, to a million web pages? This influence estimation problem is very challenging since both the time-sensitive nature of the problem and the issue of…

Social and Information Networks · Computer Science 2013-11-18 Nan Du , Le Song , Manuel Gomez Rodriguez , Hongyuan Zha

We extend the language of influence diagrams to cope with decision scenarios where the order of decisions and observations is not determined. As the ordering of decisions is dependent on the evidence, a step-strategy of such a scenario is a…

Artificial Intelligence · Computer Science 2013-01-07 Finn Verner Jensen , Marta Vomlelova

We present an anytime algorithm which computes policies for decision problems represented as multi-stage influence diagrams. Our algorithm constructs policies incrementally, starting from a policy which makes no use of the available…

Artificial Intelligence · Computer Science 2013-02-01 Michael C. Horsch , David L. Poole

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

Decision circuits perform efficient evaluation of influence diagrams, building on the ad- vances in arithmetic circuits for belief net- work inference [Darwiche, 2003; Bhattachar- jya and Shachter, 2007]. We show how even more compact…

Artificial Intelligence · Computer Science 2012-03-19 Ross D. Shachter , Debarun Bhattacharjya

In this paper we elaborate upon a measure of node influence in social networks, which was recently proposed by Vassio et al., IEEE Trans. Control Netw. Syst., 2014. This measure quantifies the ability of the node to sway the average opinion…

Optimization and Control · Mathematics 2016-11-10 Wilbert Samuel Rossi , Paolo Frasca

One of the benefits of belief networks and influence diagrams is that so much knowledge is captured in the graphical structure. In particular, statements of conditional irrelevance (or independence) can be verified in time linear in the…

Artificial Intelligence · Computer Science 2013-02-01 Ross D. Shachter

We initiate the study of deterministic distributed graph algorithms with predictions in synchronous message passing systems. The process at each node in the graph is given a prediction, which is some extra information about the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Joan Boyar , Faith Ellen , Kim S. Larsen

Influence diagrams are a directed graph representation for uncertainties as probabilities. The graph distinguishes between those variables which are under the control of a decision maker (decisions, shown as rectangles) and those which are…

Artificial Intelligence · Computer Science 2013-04-12 Ross D. Shachter

It is the focus of this work to extend and study the previously proposed quantum-like Bayesian networks to deal with decision-making scenarios by incorporating the notion of maximum expected utility in influence diagrams. The general idea…

Artificial Intelligence · Computer Science 2021-01-01 Catarina Moreira , Andreas Wichert

We consider two optimization problems in which a planner aims to influence the average transient opinion in the Friedkin-Johnsen dynamics on a network by intervening on the agents' innate opinions. Solving these problems requires full…

Physics and Society · Physics 2025-09-04 Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Asuman Ozdaglar , Francesca Parise

We study a family online influence maximization problems where in a sequence of rounds $t=1,\ldots,T$, a decision maker selects one from a large number of agents with the goal of maximizing influence. Upon choosing an agent, the decision…

Machine Learning · Computer Science 2021-09-27 Gábor Lugosi , Gergely Neu , Julia Olkhovskaya

This paper is about reducing influence diagram (ID) evaluation into Bayesian network (BN) inference problems. Such reduction is interesting because it enables one to readily use one's favorite BN inference algorithm to efficiently evaluate…

Artificial Intelligence · Computer Science 2013-02-01 Nevin Lianwen Zhang

Probabilistic sentential decision diagrams are logic circuits where the inputs of disjunctive gates are annotated by probability values. They allow for a compact representation of joint probability mass functions defined over sets of…

Artificial Intelligence · Computer Science 2020-08-20 Lilith Mattei , Alessandro Antonucci , Denis Deratani Mauá , Alessandro Facchini , Julissa Villanueva Llerena