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In this paper, novel gradient-based online learning algorithms are developed to investigate an important environmental application: real-time river pollution source identification, which aims at estimating the released mass, location, and…

Machine Learning · Computer Science 2022-03-14 Wenjie Huang , Jing Jiang , Xiao Liu

Projection-free online learning has drawn increasing interest due to its efficiency in solving high-dimensional problems with complicated constraints. However, most existing projection-free online methods focus on minimizing the static…

Machine Learning · Computer Science 2023-05-22 Yibo Wang , Wenhao Yang , Wei Jiang , Shiyin Lu , Bing Wang , Haihong Tang , Yuanyu Wan , Lijun Zhang

To deal with complicated constraints via locally light computations in distributed online learning, a recent study has presented a projection-free algorithm called distributed online conditional gradient (D-OCG), and achieved an…

Machine Learning · Computer Science 2022-06-15 Yuanyu Wan , Guanghui Wang , Wei-Wei Tu , Lijun Zhang

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…

Machine Learning · Computer Science 2021-06-25 James Robinson , Mark Herbster

We study Online Convex Optimization in the unbounded setting where neither predictions nor gradient are constrained. The goal is to simultaneously adapt to both the sequence of gradients and the comparator. We first develop parameter-free…

Machine Learning · Computer Science 2020-08-11 Zakaria Mhammedi , Wouter M. Koolen

Maintaining predictive accuracy in non-stationary environments requires online model selection to adapt autonomously to unknown distribution shifts. However, existing tuning-free algorithms face a fundamental trade-off between robustness…

Machine Learning · Computer Science 2026-05-27 Kei Takemura , Ryuta Matsuno , Keita Sakuma

A standard way to obtain convergence guarantees in stochastic convex optimization is to run an online learning algorithm and then output the average of its iterates: the actual iterates of the online learning algorithm do not come with…

Machine Learning · Statistics 2019-03-05 Ashok Cutkosky

Methods from convex optimization such as accelerated gradient descent are widely used as building blocks for deep learning algorithms. However, the reasons for their empirical success are unclear, since neural networks are not convex and…

Machine Learning · Computer Science 2016-04-11 David Balduzzi

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

We consider the problem of online control of systems with time-varying linear dynamics. This is a general formulation that is motivated by the use of local linearization in control of nonlinear dynamical systems. To state meaningful…

Machine Learning · Computer Science 2022-02-15 Paula Gradu , Elad Hazan , Edgar Minasyan

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

Machine Learning · Statistics 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

We introduce a framework to accelerate the convergence of gradient-based methods with online learning. The framework learns to scale the gradient at each iteration through an online learning algorithm and provably accelerates gradient-based…

Optimization and Control · Mathematics 2024-11-07 Wenzhi Gao , Ya-Chi Chu , Yinyu Ye , Madeleine Udell

We present new efficient \textit{projection-free} algorithms for online convex optimization (OCO), where by projection-free we refer to algorithms that avoid computing orthogonal projections onto the feasible set, and instead relay on…

Machine Learning · Computer Science 2023-03-21 Dan Garber , Ben Kretzu

We propose a new two stage algorithm LING for large scale regression problems. LING has the same risk as the well known Ridge Regression under the fixed design setting and can be computed much faster. Our experiments have shown that LING…

Machine Learning · Statistics 2014-05-16 Yichao Lu , Dean P. Foster

In this paper, we propose and analyze a new method for online linear quadratic regulator (LQR) control with a priori unknown time-varying cost matrices. The cost matrices are revealed sequentially with the potential for future values to be…

Optimization and Control · Mathematics 2023-02-22 Yitian Chen , Timothy L. Molloy , Tyler Summers , Iman Shames

In this paper, we investigate the online non-convex optimization problem which generalizes the classic {online convex optimization problem by relaxing the convexity assumption on the cost function. For this type of problem, the classic…

Machine Learning · Computer Science 2017-09-14 Lin Yang , Cheng Tan , Wing Shing Wong

We consider a the general online convex optimization framework introduced by Zinkevich. In this setting, there is a sequence of convex functions. Each period, we must choose a signle point (from some feasible set) and pay a cost equal to…

Machine Learning · Computer Science 2007-05-23 Abraham D. Flaxman , Adam Tauman Kalai , H. Brendan McMahan

This paper develops and analyzes an online distributed proximal-gradient method (DPGM) for time-varying composite convex optimization problems. Each node of the network features a local cost that includes a smooth strongly convex function…

Optimization and Control · Mathematics 2024-05-07 Nicola Bastianello , Emiliano Dall'Anese

We consider the online convex optimization (OCO) problem with quadratic and linear switching cost in the limited information setting, where an online algorithm can choose its action using only gradient information about the previous…

Machine Learning · Computer Science 2023-10-19 Spandan Senapati , Rahul Vaze

This paper studies online optimization from a high-level unified theoretical perspective. We not only generalize both Optimistic-DA and Optimistic-MD in normed vector space, but also unify their analysis methods for dynamic regret. Regret…

Machine Learning · Computer Science 2022-02-15 Qing-xin Meng , Jian-wei Liu
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