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We investigate the problem of completing partial matrices to rank-one matrices in the standard simplex. The motivation for studying this problem comes from statistics: A lack of eligible completion can provide a falsification test for…

Statistics Theory · Mathematics 2016-04-29 Kaie Kubjas , Zvi Rosen

Substantial efforts have been made in developing various Decision Modeling formalisms, both from industry and academia. A challenging problem is that of expressing decision knowledge in the context of incomplete knowledge. In such contexts,…

Artificial Intelligence · Computer Science 2023-12-19 Đorđe Marković , Simon Vandevelde , Linde Vanbesien , Joost Vennekens , Marc Denecker

Rationalization is a self-explaining framework for NLP models. Conventional work typically uses the maximum mutual information (MMI) criterion to find the rationale that is most indicative of the target label. However, this criterion can be…

Artificial Intelligence · Computer Science 2023-11-01 Wei Liu , Jun Wang , Haozhao Wang , Ruixuan Li , Zhiying Deng , YuanKai Zhang , Yang Qiu

This paper presents an extension of temporal epistemic logic with operators that quantify over agent strategies. Unlike previous work on alternating temporal epistemic logic, the semantics works with systems whose states explicitly encode…

Logic in Computer Science · Computer Science 2018-07-13 Xiaowei Huang , Ron van der Meyden

Various planning-based know-how logics have been studied in the recent literature. In this paper, we use such a logic to do know-how-based planning via model checking. In particular, we can handle the higher-order epistemic planning…

Artificial Intelligence · Computer Science 2021-06-23 Yanjun Li , Yanjing Wang

In this paper we explore the behaviour of dependent test statistics for testing of multiple hypothesis . To keep simplicity, we have considered a mixture normal model with equicorrelated correlation set up. With a simple linear…

Statistics Theory · Mathematics 2020-01-09 Rahul Roy , Subir Kumar Bhandari

This paper concerns sequential hypothesis testing in competitive multi-agent systems where agents exchange potentially manipulated information. Specifically, a two-agent scenario is studied where each agent aims to correctly infer the true…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Aneesh Raghavan , M. Umar B. Niazi , Karl H. Johansson

We demonstrate how to test for conditional independence of two variables with categorical data using Poisson log-linear models. The size of the conditioning set of variables can vary from 0 (simple independence) up to many variables. We…

Methodology · Statistics 2017-06-08 Michail Tsagris

This paper presents an auto-optimal model predictive control (MPC) framework enhanced with active learning, designed to autonomously track optimal operational conditions in an unknown environment,where the conditions may dynamically adjust…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Yuan Tan , Jun Yang , Zhongguo Li , Wen-Hua Chen , Shihua Li

We study dynamic changes of agents' observational power in logics of knowledge and time. We consider CTL*K, the extension of CTL* with knowledge operators, and enrich it with a new operator that models a change in an agent's way of…

Logic in Computer Science · Computer Science 2018-09-05 Aurèle Barrière , Bastien Maubert , Aniello Murano , Sasha Rubin

In this Chapter, I will explore the use of modeling in order to understand how Science works. I will discuss the modeling of scientific communities, providing a general, non-comprehensive overview of existing models, with a focus on the use…

Physics and Society · Physics 2012-07-24 Andre C. R. Martins

We introduce an independence criterion based on entropy regularized optimal transport. Our criterion can be used to test for independence between two samples. We establish non-asymptotic bounds for our test statistic and study its…

Machine Learning · Statistics 2022-04-21 Lang Liu , Soumik Pal , Zaid Harchaoui

Inference in current domains of application are often complex and require us to integrate the expertise of a variety of disparate panels of experts and models coherently. In this paper we develop a formal statistical methodology to guide…

Methodology · Statistics 2018-07-30 Manuele Leonelli , Martine J. Barons , Jim Q. Smith

In this paper, paired comparison models with stochastic background are investigated. We focus on the models that allow three options for choice. We estimate all parameters, the strength of the objects and the boundaries of equal decision,…

Optimization and Control · Mathematics 2025-02-20 László Gyarmati , Csaba Mihálykó , Eva Orbán-Mihálykó , András Mihálykó

The paper presents an extension of temporal epistemic logic with operators that quantify over strategies. The language also provides a natural way to represent what agents would know were they to be aware of the strategies being used by…

Logic in Computer Science · Computer Science 2014-04-04 Xiaowei Huang , Ron van der Meyden

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

We identify a subproblem of the model-checking problem for the epistemic \mu-calculus which is decidable. Formulas in the instances of this subproblem allow free variables within the scope of epistemic modalities in a restricted form that…

Computer Science and Game Theory · Computer Science 2013-10-28 Rodica Bozianu , Catalin Dima , Constantin Enea

Epistemic modal logic normally views an epistemic situation as a Kripke model. We consider a more basic approach: to view an epistemic situation as a set W of possible states/worlds -- maximal consistent sets of propositions -- with…

Logic · Mathematics 2016-10-18 Sergei Artemov

Though a lot of work in multi-agent systems is focused on reasoning about knowledge and beliefs of artificial agents, an explicit representation and reasoning about the presence/absence of agents, especially in the scenarios where agents…

Multiagent Systems · Computer Science 2020-01-23 Shikha Singh , Deepak Khemani

Independence and conditional independence are fundamental concepts for reasoning about groups of random variables in probabilistic programs. Verification methods for independence are still nascent, and existing methods cannot handle…

Logic in Computer Science · Computer Science 2021-05-04 Jialu Bao , Simon Docherty , Justin Hsu , Alexandra Silva