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This paper develops a data-driven approach to Bayesian persuasion. The receiver is privately informed about the prior distribution of the state of the world, the sender knows the receiver's preferences but does not know the distribution of…

Theoretical Economics · Economics 2025-08-06 Maxwell Rosenthal

The prior distribution for the unknown model parameters plays a crucial role in the process of statistical inference based on Bayesian methods. However, specifying suitable priors is often difficult even when detailed prior knowledge is…

Methodology · Statistics 2020-03-18 Marcelo Hartmann , Georgi Agiashvili , Paul Bürkner , Arto Klami

We present a model-free data-driven inference method that enables inferences on system outcomes to be derived directly from empirical data without the need for intervening modeling of any type, be it modeling of a material law or modeling…

Functional Analysis · Mathematics 2021-06-08 Sergio Conti , Franca Hoffmann , Michael Ortiz

We introduce an Attention Overload Model that captures the idea that alternatives compete for the decision maker's attention, and hence the attention that each alternative receives decreases as the choice problem becomes larger. Using this…

Theoretical Economics · Economics 2024-09-17 Matias D. Cattaneo , Paul Cheung , Xinwei Ma , Yusufcan Masatlioglu

When dealing with Bayesian inference the choice of the prior often remains a debatable question. Empirical Bayes methods offer a data-driven solution to this problem by estimating the prior itself from an ensemble of data. In the…

Methodology · Statistics 2020-05-13 Ilja Klebanov , Alexander Sikorski , Christof Schütte , Susanna Röblitz

This paper develops a model of \textit{identification design} and applies it to robust causal inference in microeconometrics. The decision maker observes the population distribution of signals generated by an information structure and ranks…

Theoretical Economics · Economics 2026-04-20 Maxwell Rosenthal

We consider the problem of estimating the class prior in an unlabeled dataset. Under the assumption that an additional labeled dataset is available, the class prior can be estimated by fitting a mixture of class-wise data distributions to…

Machine Learning · Computer Science 2016-11-08 Marthinus C. du Plessis , Gang Niu , Masashi Sugiyama

The proposal and study of dependent prior processes has been a major research focus in the recent Bayesian nonparametric literature. In this paper, we introduce a flexible class of dependent nonparametric priors, investigate their…

Statistics Theory · Mathematics 2014-07-03 Antonio Lijoi , Bernardo Nipoti , Igor Prünster

Only a subset of degrees of freedom are typically accessible or measurable in real-world systems. As a consequence, the proper setting for empirical modeling is that of partially-observed systems. Notably, data-driven models consistently…

Statistical Mechanics · Physics 2023-04-18 Adam Rupe , Velimir V. Vesselinov , James P. Crutchfield

We study the problem of online sequential decision-making given auxiliary demonstrations from experts who made their decisions based on unobserved contextual information. These demonstrations can be viewed as solving related but slightly…

Machine Learning · Computer Science 2025-06-17 Vahid Balazadeh , Keertana Chidambaram , Viet Nguyen , Rahul G. Krishnan , Vasilis Syrgkanis

In many predictive contexts (e.g., credit lending), true outcomes are only observed for samples that were positively classified in the past. These past observations, in turn, form training datasets for classifiers that make future…

Machine Learning · Computer Science 2024-06-04 Vijay Keswani , Anay Mehrotra , L. Elisa Celis

Consequential decisions are increasingly informed by sophisticated data-driven predictive models. However, to consistently learn accurate predictive models, one needs access to ground truth labels. Unfortunately, in practice, labels may…

Machine Learning · Computer Science 2020-10-19 Niki Kilbertus , Manuel Gomez-Rodriguez , Bernhard Schölkopf , Krikamol Muandet , Isabel Valera

An analyst is tasked with producing a statistical study. The analyst is not monitored and is able to manipulate the study. He can receive payments contingent on his report and trusted data collected from an independent source, modeled as a…

Theoretical Economics · Economics 2025-10-02 Yaron Azrieli , Christopher Chambers , Paul Healy , Nicolas Lambert

Analyzing decision problems under uncertainty commonly relies on idealizing assumptions about the describability of the world, with the most prominent examples being the closed world and the small world assumption. Most assumptions are…

Methodology · Statistics 2025-12-08 Christoph Jansen , Georg Schollmeyer , Thomas Augustin , Julian Rodemann

To make decisions organisms often accumulate information across multiple timescales. However, most experimental and modeling studies of decision-making focus on sequences of independent trials. On the other hand, natural environments are…

Neurons and Cognition · Quantitative Biology 2018-06-12 Khanh P Nguyen , Kresimir Josic , Zachary P Kilpatrick

This article introduces a new method for eliciting prior distributions from experts. The method models an expert decision-making process to infer a prior probability distribution for a rare event $A$. More specifically, assuming there…

Methodology · Statistics 2023-07-17 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

We extend the model-free Data-Driven computing paradigm to solids and structures that are stochastic due to intrinsic randomness in the material behavior. The behavior of such materials is characterized by a likelihood measure instead of a…

Computational Engineering, Finance, and Science · Computer Science 2022-11-23 Erik Prume , Stefanie Reese , Michael Ortiz

Learning the network structure underlying data is an important problem in machine learning. This paper introduces a novel prior to study the inference of scale-free networks, which are widely used to model social and biological networks.…

Machine Learning · Computer Science 2015-06-19 Qingming Tang , Siqi Sun , Jinbo Xu

Reinforcement Learning is divided in two main paradigms: model-free and model-based. Each of these two paradigms has strengths and limitations, and has been successfully applied to real world domains that are appropriate to its…

Machine Learning · Computer Science 2017-10-19 Somil Bansal , Roberto Calandra , Kurtland Chua , Sergey Levine , Claire Tomlin

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

Machine Learning · Statistics 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki
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