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Consider a multi-class labelling problem, where the labels can take values in $[k]$, and a predictor predicts a distribution over the labels. In this work, we study the following foundational question: Are there notions of multi-class…

机器学习 · 计算机科学 2024-06-11 Parikshit Gopalan , Lunjia Hu , Guy N. Rothblum

Recently, many researchers have advanced data-driven methods for modeling heterogeneous treatment effects (HTEs). Even still, estimation of HTEs is a difficult task -- these methods frequently over- or under-estimate the treatment effects,…

统计方法学 · 统计学 2022-03-28 Yizhe Xu , Steve Yadlowsky

Competitive equilibrium (CE) for chores has recently attracted significant attention, with many algorithms proposed to approximately compute it. However, existing algorithms either lack iterate convergence guarantees to an exact CE or…

最优化与控制 · 数学 2024-10-08 He Chen , Chonghe Jiang , Anthony Man-Cho So

The Expectation Maximisation (EM) algorithm is widely used to optimise non-convex likelihood functions with latent variables. Many authors modified its simple design to fit more specific situations. For instance, the Expectation (E) step…

统计理论 · 数学 2022-05-03 Thomas Lartigue , Stanley Durrleman , Stéphanie Allassonnière

Online linear programming plays an important role in both revenue management and resource allocation, and recent research has focused on developing efficient first-order online learning algorithms. Despite the empirical success of…

机器学习 · 统计学 2025-01-07 Wenzhi Gao , Dongdong Ge , Chenyu Xue , Chunlin Sun , Yinyu Ye

We study online estimation in latent-variable models by recasting the problem as tracking a moving empirical equilibrium. Standard online EM and stochastic approximation analyses primarily study convergence toward the population parameter…

机器学习 · 计算机科学 2026-05-12 ZhiMing Li , Yue Song

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

机器学习 · 计算机科学 2017-09-12 Dan Garber

Calibration means that forecasts and average realized frequencies are close. We develop the concept of forecast hedging, which consists of choosing the forecasts so as to guarantee that the expected track record can only improve. This…

理论经济学 · 经济学 2022-10-14 Dean P. Foster , Sergiu Hart

Multicalibration gradient boosting has recently emerged as a scalable method that empirically produces approximately multicalibrated predictors and has been deployed at web scale. Despite this empirical success, its convergence properties…

机器学习 · 计算机科学 2026-02-09 Daniel Haimovich , Fridolin Linder , Lorenzo Perini , Niek Tax , Milan Vojnovic

Large language models (LLMs) often make accurate next token predictions but their confidence in these predictions can be poorly calibrated: high-confidence predictions are frequently wrong, and low-confidence predictions may be correct.…

机器学习 · 计算机科学 2026-02-03 Nisarg Parikh , Ananya Sai , Pannaga Shivaswamy , Kunjal Panchal , Andrew Lan

A recent line of work has shown a surprising connection between multicalibration, a multi-group fairness notion, and omniprediction, a learning paradigm that provides simultaneous loss minimization guarantees for a large family of loss…

机器学习 · 计算机科学 2023-07-19 Sumegha Garg , Christopher Jung , Omer Reingold , Aaron Roth

This paper studies theoretically and empirically a method of turning machine-learning algorithms into probabilistic predictors that automatically enjoys a property of validity (perfect calibration) and is computationally efficient. The…

机器学习 · 计算机科学 2015-11-16 Vladimir Vovk , Ivan Petej , Valentina Fedorova

We study calibeating, the problem of post-processing external forecasts online to minimize cumulative losses and match an informativeness-based benchmark. Unlike prior work, which analyzed calibeating for specific losses with specific…

机器学习 · 计算机科学 2026-03-24 Yurong Chen , Zhiyi Huang , Michael I. Jordan , Haipeng Luo

We consider an online binary prediction setting where a forecaster observes a sequence of $T$ bits one by one. Before each bit is revealed, the forecaster predicts the probability that the bit is $1$. The forecaster is called…

机器学习 · 计算机科学 2023-10-09 Mingda Qiao , Gregory Valiant

The Certainty Equivalent heuristic (CE) is a widely-used algorithm for various dynamic resource allocation problems in OR and OM. Despite its popularity, existing theoretical guarantees of CE are limited to settings satisfying restrictive…

最优化与控制 · 数学 2025-02-14 Yilun Chen , Wenjia Wang

Confidence calibration for classification models is vital in safety-critical decision-making scenarios and has received extensive attention. General confidence calibration methods assume training and test data are independent and…

机器学习 · 计算机科学 2026-05-22 Jinzong Dong , Zhaohui Jiang , Bo Yang

While the expected calibration error (ECE), which employs binning, is widely adopted to evaluate the calibration performance of machine learning models, theoretical understanding of its estimation bias is limited. In this paper, we present…

机器学习 · 计算机科学 2025-05-27 Futoshi Futami , Masahiro Fujisawa

Low-distortional metric embeddings are a crucial component in the modern algorithmic toolkit. In an online metric embedding, points arrive sequentially and the goal is to embed them into a simple space irrevocably, while minimizing the…

数据结构与算法 · 计算机科学 2024-11-05 Sujoy Bhore , Arnold Filtser , Csaba D. Tóth

Confidence calibration has been dominated by the Expected Calibration Error (ECE), a linear metric that counts calibration offset equally regardless of the confidence level at which it occurs. We show that ECE can remain small even under…

机器学习 · 计算机科学 2026-05-06 Fernando Martin-Maroto , Nabil Abderrahaman , Gonzalo G. de Polavieja

The Expected Calibration Error (ece), the dominant calibration metric in machine learning, compares predicted probabilities against empirical frequencies of binary outcomes. This is appropriate when labels are binary events. However, many…

机器学习 · 计算机科学 2026-03-17 Michael Leznik