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This paper considers online convex optimization (OCO) problems - the paramount framework for online learning algorithm design. The loss function of learning task in OCO setting is based on streaming data so that OCO is a powerful tool to…

机器学习 · 计算机科学 2019-11-26 Wenye Ma

Zeroth-order optimization, which does not use derivative information, is one of the significant research areas in the field of mathematical optimization and machine learning. Although various studies have explored zeroth-order algorithms,…

最优化与控制 · 数学 2024-07-16 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

机器学习 · 计算机科学 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

We study the problem of private online learning, specifically, online prediction from experts (OPE) and online convex optimization (OCO). We propose a new transformation that transforms lazy online learning algorithms into private…

机器学习 · 计算机科学 2025-02-25 Hilal Asi , Tomer Koren , Daogao Liu , Kunal Talwar

We present CCO-VOXEL: the very first chance-constrained optimization (CCO) algorithm that can compute trajectory plans with probabilistic safety guarantees in real-time directly on the voxel-grid representation of the world. CCO-VOXEL maps…

机器人学 · 计算机科学 2022-04-06 Sudarshan S Harithas , Rishabh Dev Yadav , Deepak Singh , Arun Kumar Singh , K Madhava Krishna

We consider online convex optimization with stochastic constraints where the objective functions are arbitrarily time-varying and the constraint functions are independent and identically distributed (i.i.d.) over time. Both the objective…

最优化与控制 · 数学 2019-08-02 Xiaohan Wei , Hao Yu , Michael J. Neely

In this paper, we investigate an online prediction strategy named as Discounted-Normal-Predictor (Kapralov and Panigrahy, 2010) for smoothed online convex optimization (SOCO), in which the learner needs to minimize not only the hitting cost…

机器学习 · 计算机科学 2022-05-03 Lijun Zhang , Wei Jiang , Jinfeng Yi , Tianbao Yang

This paper addresses constrained smooth saddle-point problems in settings where projection onto the feasible sets is computationally expensive. We bridge the gap between projection-based and projection-free optimization by introducing a…

最优化与控制 · 数学 2026-04-02 Khanh-Hung Giang-Tran , Soroosh Shafiee , Nam Ho-Nguyen

Reinforcement learning (RL) in large environments often suffers from severe computational bottlenecks, as conventional regret minimization algorithms require repeated, costly calls to planning and statistical estimation oracles. While…

机器学习 · 计算机科学 2026-05-04 Haichen Hu , Jian Qian , David Simchi-Levi

We propose a projection-free conditional gradient-type algorithm for smooth stochastic multi-level composition optimization, where the objective function is a nested composition of $T$ functions and the constraint set is a closed convex…

最优化与控制 · 数学 2022-10-11 Tesi Xiao , Krishnakumar Balasubramanian , Saeed Ghadimi

In this paper, we study dynamic regret in unconstrained online convex optimization (OCO) with movement costs. Specifically, we generalize the standard setting by allowing the movement cost coefficients $\lambda_t$ to vary arbitrarily over…

机器学习 · 计算机科学 2026-02-09 Emmanuel Esposito , Andrew Jacobsen , Hao Qiu , Mengxiao Zhang

We introduce a novel framework for decentralized projection-free optimization, extending projection-free methods to a broader class of upper-linearizable functions. Our approach leverages decentralized optimization techniques with the…

最优化与控制 · 数学 2026-02-25 Yiyang Lu , Mohammad Pedramfar , Vaneet Aggarwal

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

机器学习 · 计算机科学 2017-09-12 Dan Garber

Online optimization has been a successful framework for solving large-scale problems under computational constraints and partial information. Current methods for online convex optimization require either a projection or exact gradient…

机器学习 · 统计学 2018-06-15 Lin Chen , Christopher Harshaw , Hamed Hassani , Amin Karbasi

Online bilevel optimization (OBO) has emerged as a powerful framework for many machine learning problems. Prior works have developed several algorithms that minimize the standard bilevel local regret or the window-averaged bilevel local…

机器学习 · 计算机科学 2026-05-12 Tingkai Jia , Haiguang Wang , Cheng Chen

We study an online linear optimization (OLO) problem in which the learner is provided access to $K$ "hint" vectors in each round prior to making a decision. In this setting, we devise an algorithm that obtains logarithmic regret whenever…

机器学习 · 计算机科学 2020-10-08 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

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…

机器学习 · 计算机科学 2022-06-16 Zhiyu Zhang , Ashok Cutkosky , Ioannis Paschalidis

Reflecting the greater significance of recent history over the distant past in non-stationary environments, $\lambda$-discounted regret has been introduced in online convex optimization (OCO) to gracefully forget past data as new…

机器学习 · 计算机科学 2025-05-27 Wenhao Yang , Sifan Yang , Lijun Zhang

This paper studies the online convex optimization problem by using an Online Continuous-Time Nesterov Accelerated Gradient method (OCT-NAG). We show that the continuous-time dynamics generated by the online version of the Bregman Lagrangian…

最优化与控制 · 数学 2020-09-29 Chao Sun , Guoqiang Hu

Solving strategic games with huge action space is a critical yet under-explored topic in economics, operations research and artificial intelligence. This paper proposes new learning algorithms for solving two-player zero-sum normal-form…