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Related papers: Monotonic and Nonmonotonic Preference Revision

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In social choice theory, Sen's value restriction and Pattanaik's not-strict value restriction are both attractive conditions for testing social preference transitivity and/or non-empty social choice set existence. This article introduces a…

Theoretical Economics · Economics 2022-05-17 Fujun Hou

The connections between nonmonotonic reasoning and belief revision are well-known. A central problem in the area of nonmonotonic reasoning is the problem of default entailment, i.e., when should an item of default information representing…

Artificial Intelligence · Computer Science 2007-05-23 Richard Booth

We consider the predictive problem of supervised ranking, where the task is to rank sets of candidate items returned in response to queries. Although there exist statistical procedures that come with guarantees of consistency in this…

Statistics Theory · Mathematics 2013-11-27 John C. Duchi , Lester Mackey , Michael I. Jordan

We analyze the problem of defining well-founded semantics for ordered logic programs within a general framework based on alternating fixpoint theory. We start by showing that generalizations of existing answer set approaches to preference…

Artificial Intelligence · Computer Science 2007-05-23 Torsten Schaub , Kewen Wang

Learning performance can show non-monotonic behavior. That is, more data does not necessarily lead to better models, even on average. We propose three algorithms that take a supervised learning model and make it perform more monotone. We…

Machine Learning · Computer Science 2019-11-26 Tom J. Viering , Alexander Mey , Marco Loog

I present a unified account of interpretation preferences of stressed and unstressed pronouns in discourse. The central intuition is the Complementary Preference Hypothesis that predicts the interpretation preference of a stressed pronoun…

cmp-lg · Computer Science 2008-02-03 Megumi Kameyama

Preferences are a pivotal component in practical reasoning, especially in tasks that involve decision-making over different options or courses of action that could be pursued. In this work, we focus on repairing and querying inconsistent…

Databases · Computer Science 2024-05-28 Nina Pardal , Santiago Cifuentes , Edwin Pin , Maria Vanina Martinez , Sergio Abriola

Two major difficulties in using default logics are their intractability and the problem of selecting among multiple extensions. We propose an approach to these problems based on integrating nommonotonic reasoning with plausible reasoning…

Artificial Intelligence · Computer Science 2013-04-08 Piero P. Bonissone , David A. Cyrluk , James W. Goodwin , Jonathan Stillman

We introduce a novel framework of ranking with abstention, where the learner can abstain from making prediction at some limited cost $c$. We present a extensive theoretical analysis of this framework including a series of $H$-consistency…

Machine Learning · Computer Science 2023-07-06 Anqi Mao , Mehryar Mohri , Yutao Zhong

We consider a general collection of function classes on the interval $[0,1]$ defined in terms of certain averages and show that monotone rearrangement does not increase the class constant in each case. The formulation includes BMO and $A_2$…

Functional Analysis · Mathematics 2023-06-30 Marat Abdrakhmanov , Leonid Slavin , Pavel Zatitskii

We give a semantics to iterated update by a preference relation on possible developments. An iterated update is a sequence of formulas, giving (incomplete) information about successive states of the world. A development is a sequence of…

Artificial Intelligence · Computer Science 2007-05-23 Shai Berger , Daniel Lehmann , Karl Schlechta

We study the problem of assigning indivisible objects to agents where each is to receive at most one. To ensure fairness in the absence of monetary compensation, we consider random assignments. Random Priority, also known as Random Serial…

Theoretical Economics · Economics 2025-06-24 Christian Basteck

Large language models (LLMs) are increasingly deployed via public-facing interfaces to interact with millions of users, each with diverse preferences. Despite this, preference tuning of LLMs predominantly relies on reward models trained…

Computation and Language · Computer Science 2024-12-06 Vishakh Padmakumar , Chuanyang Jin , Hannah Rose Kirk , He He

We study the setting of committee elections, where a group of individuals needs to collectively select a given size subset of available objects. This model is relevant for a number of real-life scenarios including political elections,…

Computer Science and Game Theory · Computer Science 2021-08-05 Grzegorz Pierczyński , Piotr Skowron

Preference alignment is pivotal for empowering large language models (LLMs) to generate helpful and harmless responses. However, the performance of preference alignment is highly sensitive to the prevalent noise in the preference data.…

Machine Learning · Computer Science 2024-05-29 Xize Liang , Chao Chen , Shuang Qiu , Jie Wang , Yue Wu , Zhihang Fu , Zhihao Shi , Feng Wu , Jieping Ye

Monotonic policy improvement and off-policy learning are two main desirable properties for reinforcement learning algorithms. In this paper, by lower bounding the performance difference of two policies, we show that the monotonic policy…

Artificial Intelligence · Computer Science 2017-11-02 Ryo Iwaki , Minoru Asada

The use of preferences in query answering, both in traditional databases and in ontology-based data access, has recently received much attention, due to its many real-world applications. In this paper, we tackle the problem of top-k query…

Artificial Intelligence · Computer Science 2013-12-03 Thomas Lukasiewicz , Maria Vanina Martinez , Cristian Molinaro , Livia Predoiu , Gerardo I. Simari

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

Selectional preference learning methods have usually focused on word-to-class relations, e.g., a verb selects as its subject a given nominal class. This papers extends previous statistical models to class-to-class preferences, and presents…

Computation and Language · Computer Science 2007-05-23 E. Agirre , D. Martinez

Selectional preferences have long been claimed to be essential for coreference resolution. However, they are mainly modeled only implicitly by current coreference resolvers. We propose a dependency-based embedding model of selectional…

Computation and Language · Computer Science 2017-07-21 Benjamin Heinzerling , Nafise Sadat Moosavi , Michael Strube