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Real-world data streams can change unpredictably due to distribution shifts, feedback loops and adversarial actors, which challenges the validity of forecasts. We present a forecasting framework ensuring valid uncertainty estimates…

机器学习 · 计算机科学 2025-03-04 Charles Marx , Volodymyr Kuleshov , Stefano Ermon

We consider the celebrated Blackwell Approachability Theorem for two-player games with vector payoffs. We show that Blackwell's result is equivalent, via efficient reductions, to the existence of "no-regret" algorithms for Online Linear…

机器学习 · 计算机科学 2010-11-10 Jacob Abernethy , Peter L. Bartlett , Elad Hazan

We study the problem of opportunistic approachability: a generalization of Blackwell approachability where the learner would like to obtain stronger guarantees (i.e., approach a smaller set) when their adversary limits themselves to a…

机器学习 · 计算机科学 2026-02-26 Teodor Vanislavov Marinov , Mehryar Mohri , Princewill Okoroafor , Jon Schneider , Julian Zimmert

Blackwell approachability, regret minimization and calibration are three criteria evaluating a strategy (or an algorithm) in different sequential decision problems, or repeated games between a player and Nature. Although they have at first…

计算机科学与博弈论 · 计算机科学 2013-01-15 Vianney Perchet

The notion of approachability in repeated games with vector payoffs was introduced by Blackwell in the 1950s, along with geometric conditions for approachability and corresponding strategies that rely on computing {\em steering directions}…

计算机科学与博弈论 · 计算机科学 2015-03-03 Nahum Shimkin

Blackwell approachability is a framework for reasoning about repeated games with vector-valued payoffs. We introduce predictive Blackwell approachability, where an estimate of the next payoff vector is given, and the decision maker tries to…

计算机科学与博弈论 · 计算机科学 2021-03-09 Gabriele Farina , Christian Kroer , Tuomas Sandholm

Blackwell's approachability is a framework where two players, the Decision Maker and the Environment, play a repeated game with vector-valued payoffs. The goal of the Decision Maker is to make the average payoff converge to a given set…

机器学习 · 计算机科学 2021-09-08 Joon Kwon

Blackwell's approachability (Blackwell, 1954, 1956) is a very general online learning framework where a Decision Maker obtains vector-valued outcomes, and aims at the convergence of the average outcome to a given ``target'' set. Blackwell…

最优化与控制 · 数学 2024-08-26 Joon Kwon , Yijun Wan , Bruno Ziliotto

We study conformal inference in non-exchangeable environments through the lens of Blackwell's theory of approachability. We first recast adaptive conformal inference (ACI, Gibbs and Cand\`es, 2021) as a repeated two-player vector-valued…

机器学习 · 统计学 2025-10-20 Guillaume Principato , Gilles Stoltz

Approachability theory, introduced by Blackwell (1956), provides fundamental results on repeated games with vector-valued payoffs, and has been usefully applied since in the theory of learning in games and to learning algorithms in the…

机器学习 · 计算机科学 2013-12-31 Andrey Bernstein , Nahum Shimkin

Blackwell's celebrated approachability theory provides a general framework for a variety of learning problems, including regret minimization. However, Blackwell's proof and implicit algorithm measure approachability using the $\ell_2$…

机器学习 · 计算机科学 2023-02-06 Christoph Dann , Yishay Mansour , Mehryar Mohri , Jon Schneider , Balasubramanian Sivan

We introduce a simple but general online learning framework in which a learner plays against an adversary in a vector-valued game that changes every round. Even though the learner's objective is not convex-concave (and so the minimax…

机器学习 · 计算机科学 2022-10-14 Daniel Lee , Georgy Noarov , Mallesh Pai , Aaron Roth

Motivated by online decision-making in time-varying combinatorial environments, we study the problem of transforming offline algorithms to their online counterparts. We focus on offline combinatorial problems that are amenable to a constant…

机器学习 · 计算机科学 2023-02-07 Rad Niazadeh , Negin Golrezaei , Joshua Wang , Fransisca Susan , Ashwinkumar Badanidiyuru

This work provides a novel interpretation of Markov Decision Processes (MDP) from the online optimization viewpoint. In such an online optimization context, the policy of the MDP is viewed as the decision variable while the corresponding…

机器学习 · 计算机科学 2020-12-29 Tao Li , Guanze Peng , Quanyan Zhu

Accurate uncertainty estimates are important in sequential model-based decision-making tasks such as Bayesian optimization. However, these estimates can be imperfect if the data violates assumptions made by the model (e.g., Gaussianity).…

机器学习 · 计算机科学 2024-06-27 Shachi Deshpande , Charles Marx , Volodymyr Kuleshov

Reachability computations that rely on learned or estimated models require calibration in order to uphold confidence about their guarantees. Calibration generally involves sampling scenarios inside the reachable set. However, producing…

系统与控制 · 电气工程与系统科学 2026-03-27 Sampada Deglurkar , Ebonye Smith , Jingqi Li , Claire J. Tomlin

A machine learning model is calibrated if its predicted probability for an outcome matches the observed frequency for that outcome conditional on the model prediction. This property has become increasingly important as the impact of machine…

机器学习 · 计算机科学 2025-02-25 Muthu Chidambaram , Rong Ge

Making calibrated online predictions is a central challenge in modern AI systems. Much of the existing literature focuses on fully adversarial environments where outcomes may be arbitrary, leading to conservative algorithms that can perform…

机器学习 · 计算机科学 2026-05-25 Junyan Liu , Haipeng Luo , Lillian J. Ratliff

Omniprediction is a learning problem that requires suboptimality bounds for each of a family of losses $\mathcal{L}$ against a family of comparator predictors $\mathcal{C}$. We initiate the study of omniprediction in a multiclass setting,…

数据结构与算法 · 计算机科学 2026-02-20 Lunjia Hu , Kevin Tian , Chutong Yang

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…

机器学习 · 统计学 2026-03-26 Judy Hanwen Shen , Ellen Vitercik , Anders Wikum
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