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We consider a Bayesian persuasion or information design problem where the sender tries to persuade the receiver to take a particular action via a sequence of signals. This we model by considering multi-phase trials with different…

理论经济学 · 经济学 2021-11-24 Shih-Tang Su , Vijay G. Subramanian , Grant Schoenebeck

Bayesian inference has theoretical attractions as a principled framework for reasoning about beliefs. However, the motivations of Bayesian inference which claim it to be the only 'rational' kind of reasoning do not apply in practice. They…

机器学习 · 统计学 2022-11-14 Sebastian Farquhar

Neural networks are powerful function approximators with tremendous potential in learning complex distributions. However, they are prone to overfitting on spurious patterns. Bayesian inference provides a principled way to regularize neural…

机器学习 · 计算机科学 2024-12-02 Yanzhe Bekkemoen , Helge Langseth

A reciprocal LASSO (rLASSO) regularization employs a decreasing penalty function as opposed to conventional penalization approaches that use increasing penalties on the coefficients, leading to stronger parsimony and superior model…

统计方法学 · 统计学 2021-09-17 Himel Mallick , Rahim Alhamzawi , Erina Paul , Vladimir Svetnik

The classical approach to inverse problems is based on the optimization of a misfit function. Despite its computational appeal, such an approach suffers from many shortcomings, e.g., non-uniqueness of solutions, modeling prior knowledge,…

机器学习 · 统计学 2014-10-22 Panagiotis Tsilifis , Ilias Bilionis , Ioannis Katsounaros , Nicholas Zabaras

We extend the work of Hahn and Carvalho (2015) and develop a doubly-regularized sparse regression estimator by synthesizing Bayesian regularization with penalized least squares within a decision-theoretic framework. In contrast to existing…

统计方法学 · 统计学 2025-02-04 Aihua Li , Surya T. Tokdar , Jason Xu

Classic mechanism/information design imposes the assumption that agents are fully rational, meaning each of them always selects the action that maximizes her expected utility. Yet many empirical evidence suggests that human decisions may…

计算机科学与博弈论 · 计算机科学 2023-11-14 Yiding Feng , Chien-Ju Ho , Wei Tang

Understanding the uncertainty of a neural network's (NN) predictions is essential for many purposes. The Bayesian framework provides a principled approach to this, however applying it to NNs is challenging due to large numbers of parameters…

机器学习 · 统计学 2020-02-27 Tim Pearce , Felix Leibfried , Alexandra Brintrup , Mohamed Zaki , Andy Neely

When subjected to automated decision-making, decision subjects may strategically modify their observable features in ways they believe will maximize their chances of receiving a favorable decision. In many practical situations, the…

计算机科学与博弈论 · 计算机科学 2022-10-10 Keegan Harris , Valerie Chen , Joon Sik Kim , Ameet Talwalkar , Hoda Heidari , Zhiwei Steven Wu

Bayesian persuasion studies how an informed sender should influence beliefs of rational receivers who take decisions through Bayesian updating of a common prior. We focus on the online Bayesian persuasion framework, in which the sender…

计算机科学与博弈论 · 计算机科学 2023-03-03 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti , Francesco Trovò

A simulation is useful when the phenomenon of interest is either expensive to regenerate or irreproducible with the same context. Recently, Bayesian inference on the distribution of the simulation input parameter has been implemented…

机器学习 · 计算机科学 2022-11-07 Dongjun Kim , Kyungwoo Song , Seungjae Shin , Wanmo Kang , Il-Chul Moon , Weonyoung Joo

We show that regularizing Bayesian predictive regressions provides a framework for prior sensitivity analysis. We develop a procedure that jointly regularizes expectations and variance-covariance matrices using a pair of shrinkage priors.…

统计方法学 · 统计学 2017-09-15 Guanhao Feng , Nicholas G. Polson

In machine learning, it is common to optimize the parameters of a probabilistic model, modulated by an ad hoc regularization term that penalizes some values of the parameters. Regularization terms appear naturally in Variational Inference,…

机器学习 · 计算机科学 2024-02-08 Pierre Wolinski , Guillaume Charpiat , Yann Ollivier

We study online Bayesian persuasion problems in which an informed sender repeatedly faces a receiver with the goal of influencing their behavior through the provision of payoff-relevant information. Previous works assume that the sender has…

计算机科学与博弈论 · 计算机科学 2024-11-12 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Bayesian persuasion studies how an informed sender should partially disclose information so as to influence the behavior of self-interested receivers. In the last years, a growing attention has been devoted to relaxing the assumption that…

计算机科学与博弈论 · 计算机科学 2022-09-02 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Bayesian persuasion, a central model in information design, studies how a sender, who privately observes a state drawn from a prior distribution, strategically sends a signal to influence a receiver's action. A key assumption is that both…

计算机科学与博弈论 · 计算机科学 2025-05-23 Jingwu Tang , Jiahao Zhang , Fei Fang , Zhiwei Steven Wu

The standard approach for dealing with the ill-posedness of the training problem in machine learning and/or the reconstruction of a signal from a limited number of measurements is regularization. The method is applicable whenever the…

最优化与控制 · 数学 2020-07-13 Michael Unser

Inverse optimization refers to the inference of unknown parameters of an optimization problem based on knowledge of its optimal solutions. This paper considers inverse optimization in the setting where measurements of the optimal solutions…

最优化与控制 · 数学 2017-12-27 Anil Aswani , Zuo-Jun Max Shen , Auyon Siddiq

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

计算机科学与博弈论 · 计算机科学 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

In the Bayesian reinforcement learning (RL) setting, a prior distribution over the unknown problem parameters -- the rewards and transitions -- is assumed, and a policy that optimizes the (posterior) expected return is sought. A common…

机器学习 · 计算机科学 2021-09-27 Aviv Tamar , Daniel Soudry , Ev Zisselman
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