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Constrained Online Convex Optimization (COCO) can be seen as a generalization of the standard Online Convex Optimization (OCO) framework. At each round, a cost function and constraint function are revealed after a learner chooses an action.…

机器学习 · 计算机科学 2025-05-30 Ricardo N. Ferreira , Cláudia Soares

Deep learning requires regularization mechanisms to reduce overfitting and improve generalization. We address this problem by a new regularization method based on distributional robust optimization. The key idea is to modify the…

We consider online convex optimization with a zero-order oracle feedback. In particular, the decision maker does not know the explicit representation of the time-varying cost functions, or their gradients. At each time step, she observes…

最优化与控制 · 数学 2020-05-05 Tatiana Tatarenko , Maryam Kamgarpour

With the impact of real-time processing being realized in the recent past, the need for efficient implementations of reinforcement learning algorithms has been on the rise. Albeit the numerous advantages of Bellman equations utilized in RL…

机器学习 · 计算机科学 2023-03-15 Saumil Shivdikar , Jagannath Nirmal

The existing machine learning algorithms for minimizing the convex function over a closed convex set suffer from slow convergence because their learning rates must be determined before running them. This paper proposes two machine learning…

最优化与控制 · 数学 2019-09-02 Kazuhiro Hishinuma , Hideaki Iiduka

We introduce Cautious Optimism, a framework for substantially faster regularized learning in general games. Cautious Optimism, as a variant of Optimism, adaptively controls the learning pace in a dynamic, non-monotone manner to accelerate…

机器学习 · 计算机科学 2025-11-17 Ashkan Soleymani , Georgios Piliouras , Gabriele Farina

SARAH and SPIDER are two recently developed stochastic variance-reduced algorithms, and SPIDER has been shown to achieve a near-optimal first-order oracle complexity in smooth nonconvex optimization. However, SPIDER uses an…

最优化与控制 · 数学 2020-05-19 Zhe Wang , Kaiyi Ji , Yi Zhou , Yingbin Liang , Vahid Tarokh

Reinforcement learning (RL) is a powerful machine learning technique that enables an intelligent agent to learn an optimal policy that maximizes the cumulative rewards in sequential decision making. Most of methods in the existing…

机器学习 · 统计学 2023-01-06 Chengchun Shi , Zhengling Qi , Jianing Wang , Fan Zhou

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 study a generalization of the Online Convex Optimization (OCO) framework with time-varying adversarial constraints. In this setting, at each round, the learner selects an action from a convex decision set $X$, after which both a convex…

机器学习 · 计算机科学 2026-03-30 Dhruv Sarkar , Aprameyo Chakrabartty , Subhamon Supantha , Palash Dey , Abhishek Sinha

Online optimisation revolves around new data being introduced into a problem while it is still being solved; think of deep learning as more training samples become available. We adapt the idea to dynamic inverse problems such as video…

最优化与控制 · 数学 2021-01-06 Tuomo Valkonen

Online matching problems arise in many complex systems, from cloud services and online marketplaces to organ exchange networks, where timely, principled decisions are critical for maintaining high system performance. Traditional heuristics…

机器学习 · 统计学 2025-10-09 Chiara Mignacco , Matthieu Jonckheere , Gilles Stoltz

Convolution Neural Networks, known as ConvNets exceptionally perform well in many complex machine learning tasks. The architecture of ConvNets demands the huge and rich amount of data and involves with a vast number of parameters that leads…

计算机视觉与模式识别 · 计算机科学 2017-12-14 Pushparaja Murugan , Shanmugasundaram Durairaj

In this paper, we study the optimistic online convex optimization problem in dynamic environments. Existing works have shown that Ader enjoys an $O\left(\sqrt{\left(1+P_T\right)T}\right)$ dynamic regret upper bound, where $T$ is the number…

机器学习 · 计算机科学 2022-03-29 Qing-xin Meng , Jian-wei Liu

The accelerated composite optimization method FISTA (Beck, Teboulle 2009) is suboptimal by a constant factor, and we present a new method OptISTA that improves FISTA by a constant factor of 2. The performance estimation problem (PEP) has…

最优化与控制 · 数学 2026-02-17 Uijeong Jang , Shuvomoy Das Gupta , Ernest K. Ryu

In this paper, we consider Riemannian online convex optimization with dynamic regret. First, we propose two novel algorithms, namely the Riemannian Online Optimistic Gradient Descent (R-OOGD) and the Riemannian Adaptive Online Optimistic…

最优化与控制 · 数学 2023-08-31 Xi Wang , Deming Yuan , Yiguang Hong , Zihao Hu , Lei Wang , Guodong Shi

Adding entropic regularization to Optimal Transport (OT) problems has become a standard approach for designing efficient and scalable solvers. However, regularization introduces a bias from the true solution. To mitigate this bias while…

Online mirror descent (OMD) and dual averaging (DA) -- two fundamental algorithms for online convex optimization -- are known to have very similar (and sometimes identical) performance guarantees when used with a fixed learning rate. Under…

机器学习 · 计算机科学 2021-09-07 Huang Fang , Nicholas J. A. Harvey , Victor S. Portella , Michael P. Friedlander

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller

In online convex optimization (OCO), Lipschitz continuity of the functions is commonly assumed in order to obtain sublinear regret. Moreover, many algorithms have only logarithmic regret when these functions are also strongly convex.…

机器学习 · 计算机科学 2021-01-01 Yihan Zhou , Victor S. Portella , Mark Schmidt , Nicholas J. A. Harvey
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