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Following a line of work that takes advantage of vast machine-learned data to enhance online algorithms with (possibly erroneous) information about future inputs, we consider predictions in the context of deterministic algorithms for the…

Data Structures and Algorithms · Computer Science 2025-02-17 Christodoulos Karavasilis

Classical countably additive real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value -- namely, zero -- to cases that are impossible as well as to cases that are possible.…

Probability · Mathematics 2022-08-29 Alexander R. Pruss

Predictive algorithms are now used to help distribute a large share of our society's resources and sanctions, such as healthcare, loans, criminal detentions, and tax audits. Under the right circumstances, these algorithms can improve the…

Machine Learning · Computer Science 2023-02-21 Alex Chohlas-Wood , Madison Coots , Sharad Goel , Julian Nyarko

We study an online classification problem with partial feedback in which individuals arrive one at a time from a fixed but unknown distribution, and must be classified as positive or negative. Our algorithm only observes the true label of…

Machine Learning · Computer Science 2020-04-17 Yahav Bechavod , Katrina Ligett , Aaron Roth , Bo Waggoner , Zhiwei Steven Wu

Prediction with experts' advice is one of the most fundamental problems in online learning and captures many of its technical challenges. A recent line of work has looked at online learning through the lens of differential equations and…

Machine Learning · Computer Science 2022-10-04 Victor Sanches Portella , Christopher Liaw , Nicholas J. A. Harvey

The field of algorithms with predictions incorporates machine learning advice in the design of online algorithms to improve real-world performance. A central consideration is the extent to which predictions can be trusted -- while existing…

Machine Learning · Statistics 2026-03-26 Judy Hanwen Shen , Ellen Vitercik , Anders Wikum

While machine-learning models are flourishing and transforming many aspects of everyday life, the inability of humans to understand complex models poses difficulties for these models to be fully trusted and embraced. Thus, interpretability…

Artificial Intelligence · Computer Science 2020-06-18 Guangyi Zhang , Aristides Gionis

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

Multiple lines of evidence suggest that predictive models may benefit from algorithmic triage. Under algorithmic triage, a predictive model does not predict all instances but instead defers some of them to human experts. However, the…

Machine Learning · Statistics 2021-11-19 Nastaran Okati , Abir De , Manuel Gomez-Rodriguez

We formalize the notion of nesting probabilistic programming queries and investigate the resulting statistical implications. We demonstrate that while query nesting allows the definition of models which could not otherwise be expressed,…

Machine Learning · Statistics 2018-07-31 Tom Rainforth

The evaluation of recommendation systems is a complex task. The offline and online evaluation metrics for recommender systems are ambiguous in their true objectives. The majority of recently published papers benchmark their methods using…

Information Retrieval · Computer Science 2023-08-15 Petr Kasalický , Rodrigo Alves , Pavel Kordík

We study three classical machine learning algorithms in the context of algorithmic fairness: adaptive boosting, support vector machines, and logistic regression. Our goal is to maintain the high accuracy of these learning algorithms while…

Machine Learning · Computer Science 2016-01-22 Benjamin Fish , Jeremy Kun , Ádám D. Lelkes

We consider a prediction problem with two experts and a forecaster. We assume that one of the experts is honest and makes correct prediction with probability $\mu$ at each round. The other one is malicious, who knows true outcomes at each…

Optimization and Control · Mathematics 2020-03-20 Erhan Bayraktar , H. Vincent Poor , Xin Zhang

Selective classification enhances the reliability of predictive models by allowing them to abstain from making uncertain predictions. In this work, we revisit the design of optimal selection functions through the lens of the Neyman--Pearson…

Machine Learning · Computer Science 2026-03-04 Alvin Heng , Harold Soh

We apply the method of defensive forecasting, based on the use of game-theoretic supermartingales, to prediction with expert advice. In the traditional setting of a countable number of experts and a finite number of outcomes, the Defensive…

Machine Learning · Computer Science 2010-03-12 Alexey Chernov , Yuri Kalnishkan , Fedor Zhdanov , Vladimir Vovk

Class-incremental learning is becoming more popular as it helps models widen their applicability while not forgetting what they already know. A trend in this area is to use a mixture-of-expert technique, where different models work together…

We develop an online learning method for prediction, which is important in problems with large and/or streaming data sets. We formulate the learning approach using a covariance-fitting methodology, and show that the resulting predictor has…

Machine Learning · Computer Science 2017-03-16 Dave Zachariah , Petre Stoica , Thomas B. Schön

We consider a model of selective prediction, where the prediction algorithm is given a data sequence in an online fashion and asked to predict a pre-specified statistic of the upcoming data points. The algorithm is allowed to choose when to…

Machine Learning · Computer Science 2019-05-30 Mingda Qiao , Gregory Valiant

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 Decision Theory provides a normative framework for representing and reasoning about complex preferences. Straightforward application of this theory to automate decision making is difficult due to high elicitation cost. In response…

Artificial Intelligence · Computer Science 2013-01-30 Vu A. Ha , Peter Haddawy