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Offline model-based optimization (MBO) refers to the task of optimizing a black-box objective function using only a fixed set of prior input-output data, without any active experimentation. Recent work has introduced quantum extremal…

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

First-order methods for stochastic optimization have undeniable relevance, in part due to their pivotal role in machine learning. Variance reduction for these algorithms has become an important research topic. In contrast to common…

Machine Learning · Computer Science 2021-09-08 Manuel Madeira , Renato Negrinho , João Xavier , Pedro M. Q. Aguiar

Motivated by alternating learning dynamics in two-player games, a recent work by Cevher et al.(2024) shows that $o(\sqrt{T})$ alternating regret is possible for any $T$-round adversarial Online Linear Optimization (OLO) problem, and left as…

Machine Learning · Computer Science 2025-06-19 Soumita Hait , Ping Li , Haipeng Luo , Mengxiao Zhang

From an optimizer's perspective, achieving the global optimum for a general nonconvex problem is often provably NP-hard using the classical worst-case analysis. In the case of Cox's proportional hazards model, by taking its statistical…

Statistics Theory · Mathematics 2021-07-07 Jianqing Fan , Wenyan Gong , Qiang Sun

Many real-life optimization problems frequently contain one or more constraints or objectives for which there are no explicit formulas. If data is however available, these data can be used to learn the constraints. The benefits of this…

Machine Learning · Computer Science 2022-09-23 Adejuyigbe Fajemisin , Donato Maragno , Dick den Hertog

An important challenge in the online convex optimization (OCO) setting is to incorporate generalized inequalities and time-varying constraints. The inclusion of constraints in OCO widens the applicability of such algorithms to dynamic and…

Optimization and Control · Mathematics 2024-06-03 Jean-Luc Lupien , Iman Shames , Antoine Lesage-Landry

Quadratic regression (QR) models naturally extend linear models by considering interaction effects between the covariates. To conduct model selection in QR, it is important to maintain the hierarchical model structure between main effects…

Methodology · Statistics 2016-07-15 Ning Hao , Yang Feng , Hao Helen Zhang

We propose a hierarchical version of dual averaging for zeroth-order online non-convex optimization - i.e., learning processes where, at each stage, the optimizer is facing an unknown non-convex loss function and only receives the incurred…

Machine Learning · Computer Science 2021-09-14 Amélie Héliou , Matthieu Martin , Panayotis Mertikopoulos , Thibaud Rahier

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…

Machine Learning · Statistics 2025-01-07 Wenzhi Gao , Dongdong Ge , Chenyu Xue , Chunlin Sun , Yinyu Ye

We develop a reduction-based framework for online learning with delayed feedback that recovers and improves upon existing results for both first-order and bandit convex optimization. Our approach introduces a continuous-time model under…

Machine Learning · Computer Science 2026-02-04 Alexander Ryabchenko , Idan Attias , Daniel M. Roy

Offline or batch reinforcement learning seeks to learn a near-optimal policy using history data without active exploration of the environment. To counter the insufficient coverage and sample scarcity of many offline datasets, the principle…

Machine Learning · Computer Science 2022-06-14 Laixi Shi , Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

This paper addresses the challenges of training large neural network models under federated learning settings: high on-device memory usage and communication cost. The proposed Online Model Compression (OMC) provides a framework that stores…

Machine Learning · Computer Science 2022-05-10 Tien-Ju Yang , Yonghui Xiao , Giovanni Motta , Françoise Beaufays , Rajiv Mathews , Mingqing Chen

This text presents an introduction to an emerging paradigm in control of dynamical systems and differentiable reinforcement learning called online nonstochastic control. The new approach applies techniques from online convex optimization…

Machine Learning · Computer Science 2026-04-28 Elad Hazan , Karan Singh

Online meta-learning is emerging as an enabling technique for achieving edge intelligence in the IoT ecosystem. Nevertheless, to learn a good meta-model for within-task fast adaptation, a single agent alone has to learn over many tasks, and…

Machine Learning · Computer Science 2020-12-22 Sen Lin , Mehmet Dedeoglu , Junshan Zhang

This paper addresses the analysis and design of quadratic neural networks, which have been recently introduced in the literature, and their applications to regression, classification, system identification and control of dynamical systems.…

Machine Learning · Computer Science 2022-07-28 Luis Rodrigues , Sidney Givigi

We study the problem of online learning in predictive control of an unknown linear dynamical system with time varying cost functions which are unknown apriori. Specifically, we study the online learning problem where the control algorithm…

Machine Learning · Computer Science 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Dileep Kalathil , Pramod P. Khargonekar

We develop and analyze algorithms for instrumental variable regression by viewing the problem as a conditional stochastic optimization problem. In the context of least-squares instrumental variable regression, our algorithms neither require…

Machine Learning · Statistics 2024-05-31 Xuxing Chen , Abhishek Roy , Yifan Hu , Krishnakumar Balasubramanian

The problem of selecting an appropriate number of features in supervised learning problems is investigated in this paper. Starting with common methods in machine learning, we treat the feature selection task as a quadratic unconstrained…

Quantum Physics · Physics 2023-06-21 Gerhard Hellstern , Vanessa Dehn , Martin Zaefferer

This paper presents a new regularization approach -- termed OpReg-Boost -- to boost the convergence and lessen the asymptotic error of online optimization and learning algorithms. In particular, the paper considers online algorithms for…

Machine Learning · Computer Science 2022-04-05 Nicola Bastianello , Andrea Simonetto , Emiliano Dall'Anese
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