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Forecast Aggregation via Peer Prediction

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 Added by Juntao Wang Mr
 Publication date 2019
and research's language is English




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Crowdsourcing is a popular paradigm for soliciting forecasts on future events. As people may have different forecasts, how to aggregate solicited forecasts into a single accurate prediction remains to be an important challenge, especially when no historical accuracy information is available for identifying experts. In this paper, we borrow ideas from the peer prediction literature and assess the prediction accuracy of participants using solely the collected forecasts. This approach leverages the correlations among peer reports to cross-validate each participants forecasts and allows us to assign a peer assessment score (PAS) for each agent as a proxy for the agents prediction accuracy. We identify several empirically effective methods to generate PAS and propose an aggregation framework that uses PAS to identify experts and to boost existing aggregators prediction accuracy. We evaluate our methods over 14 real-world datasets and show that i) PAS generated from peer prediction methods can approximately reflect the prediction accuracy of agents, and ii) our aggregation framework demonstrates consistent and significant improvement in the prediction accuracy over existing aggregators for both binary and multi-choice questions under three popular accuracy measures: Brier score (mean square error), log score (cross-entropy loss) and AUC-ROC.



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159 - Yuqing Kong 2021
In the setting where we ask participants multiple similar possibly subjective multi-choice questions (e.g. Do you like Bulbasaur? Y/N; do you like Squirtle? Y/N), peer prediction aims to design mechanisms that encourage honest feedback without verification. A series of works have successfully designed multi-task peer prediction mechanisms where reporting truthfully is better than any other strategy (dominantly truthful), while they require an infinite number of tasks. A recent work proposes the first multi-task peer prediction mechanism, Determinant Mutual Information (DMI)-Mechanism, where not only is dominantly truthful but also works for a finite number of tasks (practical). However, few works consider how to optimize the multi-task peer prediction mechanisms. In addition to the definition of optimization goal, the biggest challenge is we do not have space for optimization since there is only a single practical and dominantly truthful mechanism. This work addresses this problem by proposing a tractable effort incentive optimization goal and generalizing DMI-Mechanism to a new family of practical, dominantly truthful mechanisms, Volume Mutual Information (VMI)-Mechanisms. We show that DMI-Mechanism may not be optimal. But we can construct a sequence of VMI-Mechanisms that are approximately optimal. The main technical tool is a novel family of mutual information measures, Volume Mutual Information, which generalizes Determinant Mutual Information. We construct VMI by a simple geometric idea: we measure how informative a distribution is by measuring the volume of distributions that is less informative than it (inappropriately, its similar to measuring how clever a person is by counting the number of people that are less clever than he/she).

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