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Richard Cox [1] set the axiomatic foundations of probable inference and the algebra of propositions. He showed that consistency within these axioms requires certain rules for updating belief. In this paper we use the analogy between…

Artificial Intelligence · Computer Science 2007-05-23 Ali E. Abbas

Active inference may be defined as Bayesian modeling of a brain with a biologically plausible model of the agent. Its primary idea relies on the free energy principle and the prior preference of the agent. An agent will choose an action…

Machine Learning · Computer Science 2021-12-14 Jin young Shin , Cheolhyeong Kim , Hyung Ju Hwang

CP-nets represent the dominant existing framework for expressing qualitative conditional preferences between alternatives, and are used in a variety of areas including constraint solving. Over the last fifteen years, a significant…

Artificial Intelligence · Computer Science 2015-04-27 Cristina Cornelio , Andrea Loreggia , Vijay Saraswat

We present an enhancement of exp(ASP), a system that generates explanation graphs for a literal l - an atom a or its default negation ~a - given an answer set A of a normal logic program P, which explain why l is true (or false) given A and…

Artificial Intelligence · Computer Science 2021-09-20 Ly Ly Trieu , Tran Cao Son , Marcello Balduccini

When making a decision as a group, there are two primary paradigms: aggregating preferences (e.g. voting, mechanism design) and aggregating information (e.g. discussion, consulting, forecasting). Almost all formally-studied group…

Computer Science and Game Theory · Computer Science 2025-03-03 Mary Monroe , Bo Waggoner

Users can now give back energies to the grid using distributed resources. Proper incentive mechanisms are required for such users, also known as prosumers, in order to maximize the sell-back amount while maintaining the retailer's profit.…

Optimization and Control · Mathematics 2022-03-14 Diptangshu Sen , Arnob Ghosh

This paper initiates a discussion of mechanism design when the participating agents exhibit preferences that deviate from expected utility theory (EUT). In particular, we consider mechanism design for systems where the agents are modeled as…

Computer Science and Game Theory · Computer Science 2021-01-22 Soham R. Phade , Venkat Anantharam

Given a dataset we quantify how many patterns must always exist in the dataset. Formally this is done through the lens of Ramsey theory of graphs, and a quantitative bound known as Goodman's theorem. Combining statistical tools with Ramsey…

Combinatorics · Mathematics 2018-03-06 Micheal Pawliuk , Michael Alexander Waddell

This paper studies preference aggregation under ambiguity when agents have incomplete preference relations due to imprecise beliefs. We introduce the "dual" of the Pareto principle, which respects unanimity among individuals, including…

Theoretical Economics · Economics 2025-12-19 Leo Kurata , Kensei Nakamura

We give a new proof of the "transfer theorem" underlying adaptive data analysis: that any mechanism for answering adaptively chosen statistical queries that is differentially private and sample-accurate is also accurate out-of-sample. Our…

Machine Learning · Computer Science 2024-06-05 Christopher Jung , Katrina Ligett , Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi , Moshe Shenfeld

In recommender systems, modeling user-item behaviors is essential for user representation learning. Existing sequential recommenders consider the sequential correlations between historically interacted items for capturing users' historical…

Information Retrieval · Computer Science 2021-05-04 Yujie Lu , Shengyu Zhang , Yingxuan Huang , Luyao Wang , Xinyao Yu , Zhou Zhao , Fei Wu

Arrow's Impossibility Theorem is a seminal result of Social Choice Theory that demonstrates the impossibility of ranked-choice decision-making processes to jointly satisfy a number of intuitive and seemingly desirable constraints. The…

Theoretical Economics · Economics 2026-04-07 Ori Livson , Mikhail Prokopenko

Behavior of systems that are functions of anticipated behavior of other systems, whose own behavior is also anticipatory but homeostatic and determined by hierarchical ordering, which changes over time, of sets of possible environments that…

General Finance · Quantitative Finance 2013-07-17 Leonid A. Shapiro

In the theory of social choice the research is focused around the projection of individual preference orders to the social preference order. Also, the justification of the preference order formalism begins with the concept of utility i.e.…

Computer Science and Game Theory · Computer Science 2010-10-27 Redjan F. Shabani

We revisit widely used preferential Gaussian processes by Chu et al.(2005) and challenge their modelling assumption that imposes rankability of data items via latent utility function values. We propose a generalisation of pgp which can…

Machine Learning · Statistics 2022-01-31 Siu Lun Chau , Javier González , Dino Sejdinovic

Conditional preference statements have been used to compactly represent preferences over combinatorial domains. They are at the core of CP-nets and their generalizations, and lexicographic preference trees. Several works have addressed the…

Artificial Intelligence · Computer Science 2024-01-24 Hélène Fargier , Stefan Mengel , Jérôme Mengin

The Matthew effect describes the phenomenon that in societies the rich tend to get richer and the potent even more powerful. It is closely related to the concept of preferential attachment in network science, where the more connected nodes…

Physics and Society · Physics 2014-08-22 Matjaz Perc

To address the sparsity and cold start problem of collaborative filtering, researchers usually make use of side information, such as social networks or item attributes, to improve recommendation performance. This paper considers the…

Information Retrieval · Computer Science 2018-08-28 Hongwei Wang , Fuzheng Zhang , Jialin Wang , Miao Zhao , Wenjie Li , Xing Xie , Minyi Guo

Each agent in a network makes a local observation that is linearly related to a set of public and private parameters. The agents send their observations to a fusion center to allow it to estimate the public parameters. To prevent leakage of…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Chong Xiao Wang , Yang Song , Wee Peng Tay

We consider social welfare functions that satisfy Arrow's classic axioms of independence of irrelevant alternatives and Pareto optimality when the outcome space is the convex hull of some finite set of alternatives. Individual and…

Computer Science and Game Theory · Computer Science 2019-04-15 Florian Brandl , Felix Brandt
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