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We consider online forecasting problems for non-convex machine learning models. Forecasting introduces several challenges such as (i) frequent updates are necessary to deal with concept drift issues since the dynamics of the environment…

机器学习 · 计算机科学 2019-10-28 Sergul Aydore , Tianhao Zhu , Dean Foster

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch…

机器学习 · 计算机科学 2012-07-03 Huahua Wang , Arindam Banerjee

We discuss the finite sample theoretical properties of online predictions in non-stationary time series under model misspecification. To analyze the theoretical predictive properties of statistical methods under this setting, we first…

统计理论 · 数学 2023-06-21 Kōsaku Takanashi , Kenichiro McAlinn

We study online learning settings in which experts act strategically to maximize their influence on the learning algorithm's predictions by potentially misreporting their beliefs about a sequence of binary events. Our goal is twofold.…

机器学习 · 计算机科学 2020-07-02 Rupert Freeman , David M. Pennock , Chara Podimata , Jennifer Wortman Vaughan

This paper addresses the estimation of a time- varying parameter in a network. A group of agents sequentially receive noisy signals about the parameter (or moving target), which does not follow any particular dynamics. The parameter is not…

最优化与控制 · 数学 2016-03-03 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

We revisit the problem of stochastic online learning with feedback graphs, with the goal of devising algorithms that are optimal, up to constants, both asymptotically and in finite time. We show that, surprisingly, the notion of optimal…

机器学习 · 计算机科学 2022-06-22 Teodor V. Marinov , Mehryar Mohri , Julian Zimmert

These lecture notes represent supplementary material for a short course on time series econometrics and network econometrics. We give emphasis on limit theory for time series regression models as well as the use of the local-to-unity…

计量经济学 · 经济学 2023-08-15 Christis Katsouris

We address the problem of sequential prediction with expert advice in a non-stationary environment with long-term memory guarantees in the sense of Bousquet and Warmuth [4]. We give a linear-time algorithm that improves on the best known…

机器学习 · 计算机科学 2021-06-25 James Robinson , Mark Herbster

We establish optimal rates for online regression for arbitrary classes of regression functions in terms of the sequential entropy introduced in (Rakhlin, Sridharan, Tewari, 2010). The optimal rates are shown to exhibit a phase transition…

机器学习 · 统计学 2014-02-12 Alexander Rakhlin , Karthik Sridharan

Real-time inference is a challenge of real-world reinforcement learning due to temporal differences in time-varying environments: the system collects data from the past, updates the decision model in the present, and deploys it in the…

机器学习 · 计算机科学 2024-05-28 Hyunin Lee , Ming Jin , Javad Lavaei , Somayeh Sojoudi

In this paper, a concurrent learning based adaptive observer is developed for a class of second-order nonlinear time-invariant systems with uncertain dynamics. The developed technique results in simultaneous online state and parameter…

系统与控制 · 电气工程与系统科学 2024-12-06 Rushikesh Kamalapurkar

We consider the problem of online nonparametric regression with arbitrary deterministic sequences. Using ideas from the chaining technique, we design an algorithm that achieves a Dudley-type regret bound similar to the one obtained in a…

机器学习 · 统计学 2015-07-02 Pierre Gaillard , Sébastien Gerchinovitz

This paper studies online nonstochastic control problems with adversarial and static constraints. We propose online nonstochastic control algorithms that achieve both sublinear regret and sublinear adversarial constraint violation while…

机器学习 · 计算机科学 2023-02-07 Xin Liu , Zixian Yang , Lei Ying

Many machine learning problems can be framed in the context of estimating functions, and often these are time-dependent functions that are estimated in real-time as observations arrive. Gaussian processes (GPs) are an attractive choice for…

Conformal prediction provides a principled framework for uncertainty quantification with finite-sample coverage guarantees. While recent work has extended conformal prediction to online and sequential settings, existing methods typically…

机器学习 · 统计学 2026-05-14 Eduardo Ochoa Rivera , Ambuj Tewari

Online optimisation studies the convergence of optimisation methods as the data embedded in the problem changes. Based on this idea, we propose a primal dual online method for nonlinear time-discrete inverse problems. We analyse the method…

最优化与控制 · 数学 2025-03-18 Neil Dizon , Jyrki Jauhiainen , Tuomo Valkonen

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

We consider a general framework of online learning with expert advice where regret is defined with respect to sequences of experts accepted by a weighted automaton. Our framework covers several problems previously studied, including…

机器学习 · 计算机科学 2017-10-24 Mehryar Mohri , Scott Yang

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

机器学习 · 计算机科学 2021-12-08 Gautam Goel , Babak Hassibi

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

机器学习 · 计算机科学 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram