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Multi-state survival analysis considers several potential events of interest along a disease pathway. Such analyses are crucial to model complex patient trajectories and are increasingly being used in epidemiological and health economic…

Methodology · Statistics 2021-04-30 Jonathan Broomfield , Caroline E. Weibull , Michael J. Crowther

Characterization and quantification of non-Markovian dynamics in open quantum systems are topical issues in the rapidly developing field of quantum computation and quantum communication. A standard approach based on the notion of…

Quantum Physics · Physics 2026-04-01 Kelvin Onggadinata , Teck Seng Koh

The purpose of this paper is to introduce a notion of causality in Markov decision processes based on the probability-raising principle and to analyze its algorithmic properties. The latter includes algorithms for checking cause-effect…

Logic in Computer Science · Computer Science 2022-01-24 Christel Baier , Florian Funke , Jakob Piribauer , Robin Ziemek

Machine learning plays an increasingly significant role in many aspects of our lives (including medicine, transportation, security, justice and other domains), making the potential consequences of false predictions increasingly devastating.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Yuval Bahat , Gregory Shakhnarovich

We consider the problem belief-state monitoring for the purposes of implementing a policy for a partially-observable Markov decision process (POMDP), specifically how one might approximate the belief state. Other schemes for belief-state…

Artificial Intelligence · Computer Science 2013-01-18 Pascal Poupart , Craig Boutilier

Artificial intelligence (AI) is understood to affect the content of people's decisions. Here, using a behavioral implementation of the classic Newcomb's paradox in 1,305 participants, we show that AI can also change how people decide. In…

Human-Computer Interaction · Computer Science 2026-04-01 Aoi Naito , Hirokazu Shirado

Animal behavior is not driven simply by its current observations, but is strongly influenced by internal states. Estimating the structure of these internal states is crucial for understanding the neural basis of behavior. In principle,…

Artificial Intelligence · Computer Science 2019-02-05 Arun Kumar , Zhengwei Wu , Xaq Pitkow , Paul Schrater

Despite the tremendous empirical success of quantum theory there is still widespread disagreement about what it can tell us about the nature of the world. A central question is whether the theory is about our knowledge of reality, or a…

Quantum Physics · Physics 2019-06-10 Sally Shrapnel , Fabio Costa , Gerard Milburn

Reasoning about unpredicted change consists in explaining observations by events; we propose here an approach for explaining time-stamped observations by surprises, which are simple events consisting in the change of the truth value of a…

Artificial Intelligence · Computer Science 2024-07-10 Florence Dupin de Saint-Cyr , Jérôme Lang

We propose a collective opinion formation model with a so-called confirmation bias. The confirmation bias is a psychological effect with which, in the context of opinion formation, an individual in favor of an opinion is prone to…

Physics and Society · Physics 2013-06-24 Ryosuke Nishi , Naoki Masuda

We study Markov decision problems where the agent does not know the transition probability function mapping current states and actions to future states. The agent has a prior belief over a set of possible transition functions and updates…

Economics · Quantitative Finance 2018-01-04 Ignacio Esponda , Demian Pouzo

The Markov assumption (MA) is fundamental to the empirical validity of reinforcement learning. In this paper, we propose a novel Forward-Backward Learning procedure to test MA in sequential decision making. The proposed test does not assume…

Machine Learning · Statistics 2020-02-06 Chengchun Shi , Runzhe Wan , Rui Song , Wenbin Lu , Ling Leng

In this paper, we consider the problem of social learning, where a group of agents embedded in a social network are interested in learning an underlying state of the world. Agents have incomplete, noisy, and heterogeneous sources of…

Machine Learning · Computer Science 2024-03-27 Mahyar JafariNodeh , Amir Ajorlou , Ali Jadbabaie

As artificial agents become increasingly capable, what internal structure is *necessary* for an agent to act competently under uncertainty? Classical results show that optimal control can be *implemented* using belief states or world…

Machine Learning · Computer Science 2026-04-03 Aran Nayebi

A representative researcher has repeated opportunities for empirical research. To process findings, she must impose an "identifying assumption." She conducts research when the assumption is sufficiently plausible (taking into account both…

Theoretical Economics · Economics 2025-01-17 Andrew Ellis , Ran Spiegler

Empirical likelihood is a powerful semi-parametric method increasingly investigated in the literature. However, most authors essentially focus on an i.i.d. setting. In the case of dependent data, the classical empirical likelihood method…

Statistics Theory · Mathematics 2011-02-17 Hugo Harari-Kermadec

Language is not only used to transmit neutral information; we often seek to persuade by arguing in favor of a particular view. Persuasion raises a number of challenges for classical accounts of belief updating, as information cannot be…

Computation and Language · Computer Science 2022-09-15 Samuel A. Barnett , Thomas L. Griffiths , Robert D. Hawkins

With the increasing impact of algorithmic decision-making on human lives, the interpretability of models has become a critical issue in machine learning. Counterfactual explanation is an important method in the field of interpretable…

Machine Learning · Computer Science 2024-07-17 Ao Xu , Tieru Wu

The hypothesis of randomness is fundamental in statistical machine learning and in many areas of nonparametric statistics; it says that the observations are assumed to be independent and coming from the same unknown probability…

Probability · Mathematics 2022-02-08 Vladimir Vovk

Dependence is an important concept for many tasks in artificial intelligence. A task can be executed more efficiently by discarding something independent from the task. In this paper, we propose two novel notions of dependence in…

Artificial Intelligence · Computer Science 2019-06-13 Liangda Fang , Hai Wan , Xianqiao Liu , Biqing Fang , Zhaorong Lai
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