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We study the problem of adaptively controlling a known discrete-time nonlinear system subject to unmodeled disturbances. We prove the first finite-time regret bounds for adaptive nonlinear control with matched uncertainty in the stochastic…

机器学习 · 计算机科学 2020-11-30 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

Algorithms for online learning typically require one or more boundedness assumptions: that the domain is bounded, that the losses are Lipschitz, or both. In this paper, we develop a new setting for online learning with unbounded domains and…

机器学习 · 计算机科学 2023-07-18 Andrew Jacobsen , Ashok Cutkosky

Online learning methods yield sequential regret bounds under minimal assumptions and provide in-expectation risk bounds for statistical learning. However, despite the apparent advantage of online guarantees over their statistical…

机器学习 · 计算机科学 2023-08-16 Dirk van der Hoeven , Nikita Zhivotovskiy , Nicolò Cesa-Bianchi

We present online prediction methods for time series that let us explicitly handle nonstationary artifacts (e.g. trend and seasonality) present in most real time series. Specifically, we show that applying appropriate transformations to…

机器学习 · 统计学 2018-08-28 Christopher Xie , Avleen Bijral , Juan Lavista Ferres

Modern applications in sensitive domains such as biometrics and medicine frequently require the use of non-decomposable loss functions such as precision@k, F-measure etc. Compared to point loss functions such as hinge-loss, these offer much…

机器学习 · 计算机科学 2014-10-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

Online forecasting under a changing environment has been a problem of increasing importance in many real-world applications. In this paper, we consider the meta-algorithm presented in \citet{zhang2017dynamic} combined with different…

机器学习 · 计算机科学 2020-11-16 Anant Raj , Pierre Gaillard , Christophe Saad

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

机器学习 · 计算机科学 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

机器学习 · 计算机科学 2021-09-30 Yassir Jedra , Alexandre Proutiere

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-05-21 Jiashuo Jiang

We study the problem of uncertainty quantification via prediction sets, in an online setting where the data distribution may vary arbitrarily over time. Recent work develops online conformal prediction techniques that leverage regret…

机器学习 · 计算机科学 2023-02-16 Aadyot Bhatnagar , Huan Wang , Caiming Xiong , Yu Bai

We revisit the sequential variants of linear regression with the squared loss, classification problems with hinge loss, and logistic regression, all characterized by unbounded losses in the setup where no assumptions are made on the…

机器学习 · 统计学 2025-09-08 Jian Qian , Alexander Rakhlin , Nikita Zhivotovskiy

We study the decentralized online regularized linear regression algorithm over random time-varying graphs. At each time step, every node runs an online estimation algorithm consisting of an innovation term processing its own new…

机器学习 · 计算机科学 2025-10-02 Xiwei Zhang , Tao Li , Xiaozheng Fu

Given a prediction task, understanding when one can and cannot design a consistent convex surrogate loss, particularly a low-dimensional one, is an important and active area of machine learning research. The prediction task may be given as…

机器学习 · 计算机科学 2021-02-17 Jessie Finocchiaro , Rafael Frongillo , Bo Waggoner

Structured prediction involves learning to predict complex structures rather than simple scalar values. The main challenge arises from the non-Euclidean nature of the output space, which generally requires relaxing the problem formulation.…

机器学习 · 统计学 2024-11-19 Junjie Yang , Matthieu Labeau , Florence d'Alché-Buc

To address the uncertainty in function types, recent progress in online convex optimization (OCO) has spurred the development of universal algorithms that simultaneously attain minimax rates for multiple types of convex functions. However,…

机器学习 · 计算机科学 2024-05-31 Wenhao Yang , Yibo Wang , Peng Zhao , Lijun Zhang

We study fast rates of convergence in the setting of nonparametric online regression, namely where regret is defined with respect to an arbitrary function class which has bounded complexity. Our contributions are two-fold: - In the…

机器学习 · 计算机科学 2022-04-13 Constantinos Daskalakis , Noah Golowich

In this paper, the problem of distributed optimization is studied via a network of agents. Each agent only has access to a stochastic gradient of its own objective function in the previous time, and can communicate with its neighbors via a…

最优化与控制 · 数学 2024-01-29 Yuchen Yang , Kaihong Lu , Long Wang

Non-stationary online learning has drawn much attention in recent years. In particular, dynamic regret and adaptive regret are proposed as two principled performance measures for online convex optimization in non-stationary environments. To…

机器学习 · 计算机科学 2025-09-10 Peng Zhao , Yan-Feng Xie , Lijun Zhang , Zhi-Hua Zhou

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

机器学习 · 统计学 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

We study online conformal prediction for non-stationary data streams subject to unknown distribution drift. While most prior work studied this problem under adversarial settings and/or assessed performance in terms of gaps of time-averaged…

统计理论 · 数学 2026-03-06 Jiadong Liang , Zhimei Ren , Yuxin Chen