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In a compound decision problem, consisting of $n$ statistically independent copies of the same problem to be solved under the sum of the individual losses, any reasonable compound decision rule $\delta$ satisfies a natural symmetry…

Statistics Theory · Mathematics 2019-12-02 Asaf Weinstein

We introduce a scalable Bayesian preference learning method for identifying convincing arguments in the absence of gold-standard rat- ings or rankings. In contrast to previous work, we avoid the need for separate methods to perform quality…

Computation and Language · Computer Science 2018-06-08 Edwin Simpson , Iryna Gurevych

Ensemble-based methods are highly popular approaches that increase the accuracy of a decision by aggregating the opinions of individual voters. The common point is to maximize accuracy; however, a natural limitation occurs if incremental…

Machine Learning · Computer Science 2020-04-20 Andras Hajdu , Gyorgy Terdik , Attila Tiba , Henrietta Toman

Today mobile crowdsourcing platforms invite users to provide anonymous reviews about service experiences, yet many reviews are found biased to be extremely positive or negative. The existing methods find it difficult to learn from biased…

Computer Science and Game Theory · Computer Science 2024-01-01 Shugang Hao , Lingjie Duan

We can overcome uncertainty with uncertainty. Using randomness in our choices and in what we control, and hence in the decision making process, could potentially offset the uncertainty inherent in the environment and yield better outcomes.…

General Finance · Quantitative Finance 2017-10-06 Ravi Kashyap

We apply classical statistical decision theory to a large class of treatment choice problems with partial identification. We show that, in a general class of problems with Gaussian likelihood, all decision rules are admissible; it is…

Econometrics · Economics 2025-06-24 José Luis Montiel Olea , Chen Qiu , Jörg Stoye

One of the most important aspects in any treatment of uncertain information is the rule of combination for updating the degrees of uncertainty. The theory of belief functions uses the Dempster rule to combine two belief functions defined by…

Artificial Intelligence · Computer Science 2013-04-05 Michael S. K. M. Wong , P. Lingras

Computational and complexity theory are core components of the computer science curriculum, and in the vast majority of cases are taught using decision problems as the main paradigm. For experienced practitioners, decision problems are the…

Computers and Society · Computer Science 2017-12-11 John MacCormick

We characterize the optimal reward functions (scoring rules) that incentivize an agent to acquire information and report it truthfully to the principal. The optimal scoring rules let the agent make a simple binary bet in single-dimensional…

Computer Science and Game Theory · Computer Science 2025-10-03 Jason D. Hartline , Yingkai Li , Liren Shan , Yifan Wu

Training Data Attribution (TDA) seeks to trace model predictions back to influential training examples, enhancing interpretability and safety. We formulate TDA as a Bayesian information-theoretic problem: subsets are scored by the…

Machine Learning · Computer Science 2026-04-10 Dharmesh Tailor , Nicolò Felicioni , Kamil Ciosek

A general challenge in statistics is prediction in the presence of multiple candidate models or learning algorithms. Model aggregation tries to combine all predictive distributions from individual models, which is more stable and flexible…

Methodology · Statistics 2021-09-28 Yuling Yao

Crowdsourcing systems aggregate decisions of many people to help users quickly identify high-quality options, such as the best answers to questions or interesting news stories. A long-standing issue in crowdsourcing is how option quality…

Social and Information Networks · Computer Science 2020-10-28 Keith Burghardt , Tad Hogg , Raissa M. D'Souza , Kristina Lerman , Marton Posfai

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is high. Given a target accuracy, our goal is to minimize…

Statistics Theory · Mathematics 2025-10-28 Mohamed Ndaoud , Peter Radchenko , Bradley Rava

In transfer learning, we wish to make inference about a target population when we have access to data both from the distribution itself, and from a different but related source distribution. We introduce a flexible framework for transfer…

Machine Learning · Statistics 2021-09-03 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

The ranking and selection problem is a popular framework in the simulation literature for studying optimal information collection. We study a version of this problem in which the simulation output for each design is normally distributed…

Optimization and Control · Mathematics 2025-09-03 Jianzhong Du , Ilya O. Ryzhov , Siyang Gao

In order to interact intelligently with objects in the world, animals must first transform neural population responses into estimates of the dynamic, unknown stimuli which caused them. The Bayesian solution to this problem is known as a…

Machine Learning · Computer Science 2025-07-30 Sacha Sokoloski

The analysis of decision making under uncertainty is closely related to the analysis of probabilistic inference. Indeed, much of the research into efficient methods for probabilistic inference in expert systems has been motivated by the…

Artificial Intelligence · Computer Science 2013-03-25 Ross D. Shachter , Mark Alan Peot

The empirical risk minimization approach to data-driven decision making requires access to training data drawn under the same conditions as those that will be faced when the decision rule is deployed. However, in a number of settings, we…

Methodology · Statistics 2025-09-17 Roshni Sahoo , Lihua Lei , Stefan Wager

We show that social learning is not useful in a model of team binary decision making by voting, where each vote carries equal weight. Specifically, we consider Bayesian binary hypothesis testing where agents have any…

Information Theory · Computer Science 2026-03-12 Joong Bum Rhim , Vivek K. Goyal