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In this paper we present decomposable priors, a family of priors over structure and parameters of tree belief nets for which Bayesian learning with complete observations is tractable, in the sense that the posterior is also decomposable and…

Machine Learning · Computer Science 2013-01-18 Marina Meila , Tommi S. Jaakkola

Conformal prediction is a popular, modern technique for providing valid predictive inference for arbitrary machine learning models. Its validity relies on the assumptions of exchangeability of the data, and symmetry of the given model…

Methodology · Statistics 2023-03-20 Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas , Ryan J. Tibshirani

Conformal Prediction is a machine learning methodology that produces valid prediction regions under mild conditions. In this paper, we explore the application of making predictions over multiple data sources of different sizes without…

Machine Learning · Statistics 2018-06-15 Ola Spjuth , Lars Carlsson , Niharika Gauraha

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

Bayesian experts who are exposed to different evidence often make contradictory probabilistic forecasts. An aggregator, ignorant of the underlying model, uses this to calculate her own forecast. We use the notions of scoring rules and…

Economics · Quantitative Finance 2018-02-13 Itai Areili , Yakov Babichenko , Rann Smorodinsky

Despite an extensive literature has been devoted to mine and model mobility features, forecasting where, when and whom people will encounter/colocate still deserve further research efforts. Forecasting people's encounter and colocation…

Social and Information Networks · Computer Science 2016-10-07 Karim Karamat Jahromi , Matteo Zignani , Sabrina Gaito , Gian Paolo Rossi

We introduce a distributed, cooperative framework and method for Bayesian estimation and control in decentralized agent networks. Our framework combines joint estimation of time-varying global and local states with information-seeking…

Systems and Control · Computer Science 2015-09-24 Florian Meyer , Henk Wymeersch , Markus Fröhle , Franz Hlawatsch

We study the problem of eliciting and aggregating probabilistic information from multiple agents. In order to successfully aggregate the predictions of agents, the principal needs to elicit some notion of confidence from agents, capturing…

Computer Science and Game Theory · Computer Science 2014-10-03 Rafael M. Frongillo , Yiling Chen , Ian A. Kash

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

An approach to distributed machine learning is to train models on local datasets and aggregate these models into a single, stronger model. A popular instance of this form of parallelization is federated learning, where the nodes…

Machine Learning · Computer Science 2019-11-19 Linara Adilova , Julia Rosenzweig , Michael Kamp

In the collaborative clustering framework, the hope is that by combining several clustering solutions, each one with its own bias and imperfections, one will get a better overall solution. The goal is that each local computation, quite…

Machine Learning · Computer Science 2021-03-25 Yohan Foucade , Younès Bennani

Classical Bayesian persuasion assumes that senders fully understand how receivers form beliefs and make decisions--an assumption that rarely holds when receivers possess private information or exhibit non-Bayesian behavior. In this paper,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Heeseung Bang , Andreas A. Malikopoulos

We study the set of possible joint posterior belief distributions of a group of agents who share a common prior regarding a binary state, and who observe some information structure. For two agents we introduce a quantitative version of…

Theoretical Economics · Economics 2020-12-24 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy , Omer Tamuz

We explore the probabilistic foundations of shared control in complex dynamic environments. In order to do this, we formulate shared control as a random process and describe the joint distribution that governs its behavior. For…

Robotics · Computer Science 2015-08-10 Pete Trautman

Computing expected predictions of discriminative models is a fundamental task in machine learning that appears in many interesting applications such as fairness, handling missing values, and data analysis. Unfortunately, computing…

Machine Learning · Computer Science 2019-11-04 Pasha Khosravi , YooJung Choi , Yitao Liang , Antonio Vergari , Guy Van den Broeck

We consider the problem of purchasing data for machine learning or statistical estimation. The data analyst has a budget to purchase datasets from multiple data providers. She does not have any test data that can be used to evaluate the…

Computer Science and Game Theory · Computer Science 2020-10-30 Yiling Chen , Yiheng Shen , Shuran Zheng

Optimal design is a critical yet challenging task within many applications. This challenge arises from the need for extensive trial and error, often done through simulations or running field experiments. Fortunately, sequential optimal…

Machine Learning · Computer Science 2025-03-25 Xubo Yue , Raed Al Kontar , Albert S. Berahas , Yang Liu , Blake N. Johnson

In this paper, we discuss a class of distributed detection algorithms which can be viewed as implementations of Bayes' law in distributed settings. Some of the algorithms are proposed in the literature most recently, and others are first…

Methodology · Statistics 2015-11-10 Qipeng Liu , Jiuhua Zhao , Xiaofan Wang

This paper presents a trust-based predictive multi-agent consensus protocol that analyses neighbours' anticipation data and makes coordination decisions. Agents in the network share their future predicted data over a finite look-ahead…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Venkatraman Renganathan , Sabyasachi Mondal , Antonios Tsourdos

Cooperation information sharing is important to theories of human learning and has potential implications for machine learning. Prior work derived conditions for achieving optimal Cooperative Inference given strong, relatively restrictive…

Machine Learning · Computer Science 2019-02-15 Pei Wang , Pushpi Paranamana , Patrick Shafto