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Incremental learning suffers from two challenging problems; forgetting of old knowledge and intransigence on learning new knowledge. Prediction by the model incrementally learned with a subset of the dataset are thus uncertain and the…

Machine Learning · Computer Science 2019-02-05 Dahyun Kim , Jihwan Bae , Yeonsik Jo , Jonghyun Choi

Probabilistic predictions can be evaluated through comparisons with observed label frequencies, that is, through the lens of calibration. Recent scholarship on algorithmic fairness has started to look at a growing variety of…

Machine Learning · Computer Science 2023-05-16 Benedikt Höltgen , Robert C Williamson

Classification is an important statistical learning tool. In real application, besides high prediction accuracy, it is often desirable to estimate class conditional probabilities for new observations. For traditional problems where the…

Statistics Theory · Mathematics 2025-03-18 Guo Xian Yau , Chong Zhang

Reasoning about uncertainty is vital in many real-life autonomous systems. However, current state-of-the-art planning algorithms cannot either reason about uncertainty explicitly, or do so with a high computational burden. Here, we focus on…

Artificial Intelligence · Computer Science 2022-01-31 Moran Barenboim , Vadim Indelman

We investigate the problem of cumulative regret minimization for individual sequence prediction with respect to the best expert in a finite family of size K under limited access to information. We assume that in each round, the learner can…

Statistics Theory · Mathematics 2022-10-06 El Mehdi Saad , G. Blanchard

Deep Reinforcement Learning (DRL) policies have been shown to be vulnerable to small adversarial noise in observations. Such adversarial noise can have disastrous consequences in safety-critical environments. For instance, a self-driving…

Machine Learning · Computer Science 2024-03-28 Roman Belaire , Pradeep Varakantham , Thanh Nguyen , David Lo

This guide provides a reference for high-probability regret bounds in empirical risk minimization (ERM). The presentation is modular: we begin with intuition and general proof strategies, then state broadly applicable guarantees under…

Machine Learning · Statistics 2026-03-04 Lars van der Laan

We study an important variant of the stochastic multi-armed bandit (MAB) problem, which takes penalization into consideration. Instead of directly maximizing cumulative expected reward, we need to balance between the total reward and…

Machine Learning · Statistics 2022-11-16 Guanhua Fang , Ping Li , Gennady Samorodnitsky

Precision and Recall are fundamental metrics in machine learning tasks where both accurate predictions and comprehensive coverage are essential, such as in multi-label learning, language generation, medical studies, and recommender systems.…

Machine Learning · Computer Science 2025-10-27 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

We consider the problem of minimizing the regret in stochastic multi-armed bandit, when the measure of goodness of an arm is not the mean return, but some general function of the mean and the variance.We characterize the conditions under…

Machine Learning · Computer Science 2014-05-06 Alexander Zimin , Rasmus Ibsen-Jensen , Krishnendu Chatterjee

Recently, much work has been done on extending the scope of online learning and incremental stochastic optimization algorithms. In this paper we contribute to this effort in two ways: First, based on a new regret decomposition and a…

Machine Learning · Computer Science 2017-09-12 Pooria Joulani , András György , Csaba Szepesvári

Attrition is a common and potentially important threat to internal validity in treatment effect studies. We extend the changes-in-changes approach to identify the average treatment effect for respondents and the entire study population in…

Econometrics · Economics 2024-03-29 Dalia Ghanem , Sarojini Hirshleifer , Désiré Kédagni , Karen Ortiz-Becerra

We present a sample path dependent measure of causal influence between time series. The proposed causal measure is a random sequence, a realization of which enables identification of specific patterns that give rise to high levels of causal…

Information Theory · Computer Science 2019-07-31 Gabriel Schamberg , Todd P. Coleman

Approachability has become a standard tool in analyzing earning algorithms in the adversarial online learning setup. We develop a variant of approachability for games where there is ambiguity in the obtained reward that belongs to a set,…

Statistics Theory · Mathematics 2012-02-17 Shie Mannor , Vianney Perchet , Gilles Stoltz

Many prediction tasks contain uncertainty. In some cases, uncertainty is inherent in the task itself. In future prediction, for example, many distinct outcomes are equally valid. In other cases, uncertainty arises from the way data is…

Computer Vision and Pattern Recognition · Computer Science 2017-08-23 Christian Rupprecht , Iro Laina , Robert DiPietro , Maximilian Baust , Federico Tombari , Nassir Navab , Gregory D. Hager

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

We analyze the problem of sequential probability assignment for binary outcomes with side information and logarithmic loss, where regret---or, redundancy---is measured with respect to a (possibly infinite) class of experts. We provide upper…

Information Theory · Computer Science 2015-01-30 Alexander Rakhlin , Karthik Sridharan

We develop new approaches in multi-class settings for constructing proper scoring rules and hinge-like losses and establishing corresponding regret bounds with respect to the zero-one or cost-weighted classification loss. Our construction…

Statistics Theory · Mathematics 2021-05-18 Zhiqiang Tan , Xinwei Zhang

Motivated by learning of correlated equilibria in non-cooperative games, we perform a large deviations analysis of a regret minimizing stochastic approximation algorithm. The regret minimization algorithm we consider comprises multiple…

Optimization and Control · Mathematics 2024-06-04 Hongjiang Qian , Vikram Krishnamurthy

We consider stochastic multi-armed bandit problems with complex actions over a set of basic arms, where the decision maker plays a complex action rather than a basic arm in each round. The reward of the complex action is some function of…

Machine Learning · Statistics 2013-11-05 Aditya Gopalan , Shie Mannor , Yishay Mansour