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In this paper, we propose control-theoretic methods as tools for the design of online optimization algorithms that are able to address dynamic, noisy, and partially uncertain time-varying quadratic objective functions. Our approach…

Optimization and Control · Mathematics 2025-02-03 Umberto Casti , Sandro Zampieri

In this paper we design a novel class of online distributed optimization algorithms leveraging control theoretical techniques. We start by focusing on quadratic costs, and assuming to know an internal model of their variation. In this…

Optimization and Control · Mathematics 2026-01-21 Wouter J. A. van Weerelt , Nicola Bastianello

Centered around solving the Online Saddle Point problem, this paper introduces the Online Convex-Concave Optimization (OCCO) framework, which involves a sequence of two-player time-varying convex-concave games. We propose the generalized…

Machine Learning · Computer Science 2023-12-18 Qing-xin Meng , Jian-wei Liu

We consider the problem of online active learning to collect data for regression modeling. Specifically, we consider a decision maker with a limited experimentation budget who must efficiently learn an underlying linear population model.…

Machine Learning · Statistics 2016-12-22 Carlos Riquelme , Ramesh Johari , Baosen Zhang

Efficient online learning with pairwise loss functions is a crucial component in building large-scale learning system that maximizes the area under the Receiver Operator Characteristic (ROC) curve. In this paper we investigate the…

Machine Learning · Statistics 2013-01-24 Yuyang Wang , Roni Khardon , Dmitry Pechyony , Rosie Jones

In online convex optimization, some efficient algorithms have been designed for each of the individual classes of objective functions, e.g., convex, strongly convex, and exp-concave. However, existing regret analyses, including those of…

Optimization and Control · Mathematics 2024-12-13 Tomoya Kamijima , Shinji Ito

Online sparse linear regression is an online problem where an algorithm repeatedly chooses a subset of coordinates to observe in an adversarially chosen feature vector, makes a real-valued prediction, receives the true label, and incurs the…

Machine Learning · Computer Science 2020-07-27 Satyen Kale , Zohar Karnin , Tengyuan Liang , Dávid Pál

We propose an online learning algorithm for a class of machine learning models under a separable stochastic approximation framework. The essence of our idea lies in the observation that certain parameters in the models are easier to…

Machine Learning · Computer Science 2023-05-23 Min Gan , Xiang-xiang Su , Guang-yong Chen , Jing Chen

We consider the problem of Online Convex Optimization (OCO) with two-point bandit feedback. In this setting, a player attempts to minimize a sequence of adversarially generated convex loss functions, while only observing the value of each…

Machine Learning · Computer Science 2026-04-07 Haishan Ye

We consider the problem of adversarial bandit convex optimization, that is, online learning over a sequence of arbitrary convex loss functions with only one function evaluation for each of them. While all previous works assume known and…

Machine Learning · Computer Science 2022-02-15 Haipeng Luo , Mengxiao Zhang , Peng Zhao

We investigate online nonlinear regression with continually running recurrent neural network networks (RNNs), i.e., RNN-based online learning. For RNN-based online learning, we introduce an efficient first-order training algorithm that…

Machine Learning · Computer Science 2021-06-01 N. Mert Vural , Selim F. Yilmaz , Fatih Ilhan , Suleyman S. Kozat

Recently, several universal methods have been proposed for online convex optimization, and attain minimax rates for multiple types of convex functions simultaneously. However, they need to design and optimize one surrogate loss for each…

Machine Learning · Computer Science 2024-11-21 Lijun Zhang , Yibo Wang , Guanghui Wang , Jinfeng Yi , Tianbao Yang

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

Machine Learning · Computer Science 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

We consider online convex optimization (OCO) over a heterogeneous network with communication delay, where multiple workers together with a master execute a sequence of decisions to minimize the accumulation of time-varying global costs. The…

Information Theory · Computer Science 2021-07-15 Juncheng Wang , Ben Liang , Min Dong , Gary Boudreau , Hatem Abou-zeid

We revisit the common practice of evaluating adaptation of Online Continual Learning (OCL) algorithms through the metric of online accuracy, which measures the accuracy of the model on the immediate next few samples. However, we show that…

Machine Learning · Computer Science 2023-05-17 Hasan Abed Al Kader Hammoud , Ameya Prabhu , Ser-Nam Lim , Philip H. S. Torr , Adel Bibi , Bernard Ghanem

Unconstrained Online Linear Optimization (OLO) is a practical problem setting to study the training of machine learning models. Existing works proposed a number of potential-based algorithms, but in general the design of these potential…

Machine Learning · Computer Science 2022-06-16 Zhiyu Zhang , Ashok Cutkosky , Ioannis Paschalidis

This paper considers the problem of online optimization where the objective function is time-varying. In particular, we extend coordinate descent type algorithms to the online case, where the objective function varies after a finite number…

Optimization and Control · Mathematics 2024-04-26 Yankai Lin , Iman Shames , Dragan Nešić

We consider the problem of unconstrained online convex optimization (OCO) with sub-exponential noise, a strictly more general problem than the standard OCO. In this setting, the learner receives a subgradient of the loss functions corrupted…

Machine Learning · Computer Science 2019-09-24 Kwang-Sung Jun , Francesco Orabona

Learning-augmented algorithms have been extensively studied across the computer science community in the recent years, driven by advances in machine learning predictors, which can provide additional information to augment classical…

Data Structures and Algorithms · Computer Science 2024-11-14 Elena Grigorescu , Young-San Lin , Maoyuan Song

This paper introduces an innovative approach based on policy iteration (PI), a reinforcement learning (RL) algorithm, to obtain an optimal observer with a quadratic cost function. This observer is designed for systems with a given…

Systems and Control · Electrical Eng. & Systems 2023-11-29 Soroush Asri , Luis Rodrigues