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We present Gaptron, a randomized first-order algorithm for online multiclass classification. In the full information setting we show expected mistake bounds with respect to the logistic loss, hinge loss, and the smooth hinge loss with…

Machine Learning · Computer Science 2021-03-01 Dirk van der Hoeven

Mixability of a loss is known to characterise when constant regret bounds are achievable in games of prediction with expert advice through the use of Vovk's aggregating algorithm. We provide a new interpretation of mixability via convex…

Machine Learning · Computer Science 2014-03-12 Mark D. Reid , Rafael M. Frongillo , Robert C. Williamson

We propose the online machine learning for big data analysis with heterogeneity. We performed an experiment to compare the accuracy of each iteration between batch one and online one. It is possible to converge quickly with the same…

Machine Learning · Computer Science 2019-06-20 Kazuki Seshimo , Ota Akira , Nishio Daichi , Yamane Satoshi

In this paper we study the mincut problem in the online setting. We consider two distinct models: A) competitive analysis and B) regret analysis. In the competitive setting we consider the vertex arrival model; whenever a new vertex arrives…

Data Structures and Algorithms · Computer Science 2020-08-17 Avah Banerjee , Guoli Ding

Large tensor learning algorithms are typically computationally expensive and require storing a vast amount of data. In this paper, we propose a unified online Riemannian gradient descent (oRGrad) algorithm for tensor learning, which is…

Machine Learning · Statistics 2024-10-23 Jingyang Li , Jian-Feng Cai , Yang Chen , Dong Xia

Probabilistic forecasts in the form of probability distributions over future events have become popular in several fields of statistical science. The dissimilarity between a probability forecast and an outcome is measured by a loss function…

Machine Learning · Computer Science 2020-01-27 Vladimir V'yugin , Vladimir Trunov

We consider the online version of the isotonic regression problem. Given a set of linearly ordered points (e.g., on the real line), the learner must predict labels sequentially at adversarially chosen positions and is evaluated by her total…

Machine Learning · Computer Science 2016-10-10 Wojciech Kotłowski , Wouter M. Koolen , Alan Malek

With advances in generative AI, decision-making agents can now dynamically create new actions during online learning, but action generation typically incurs costs that must be balanced against potential benefits. We study an online learning…

Machine Learning · Computer Science 2025-10-01 Jianyu Xu , Vidhi Jain , Bryan Wilder , Aarti Singh

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 · Computer Science 2025-01-08 Wenzhi Gao , Chunlin Sun , Chenyu Xue , Dongdong Ge , Yinyu Ye

We consider the classic problem of online convex optimisation. Whereas the notion of static regret is relevant for stationary problems, the notion of switching regret is more appropriate for non-stationary problems. A switching regret is…

Machine Learning · Computer Science 2025-03-07 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis , Mark Herbster

Mixup is a widely adopted strategy for training deep networks, where additional samples are augmented by interpolating inputs and labels of training pairs. Mixup has shown to improve classification performance, network calibration, and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Thomas Mensink , Pascal Mettes

We study the problem of online learning with non-convex losses, where the learner has access to an offline optimization oracle. We show that the classical Follow the Perturbed Leader (FTPL) algorithm achieves optimal regret rate of…

Machine Learning · Computer Science 2019-09-24 Arun Sai Suggala , Praneeth Netrapalli

Online learning algorithms for dynamical systems provide finite time guarantees for control in the presence of sequentially revealed cost functions. We pose the classical linear quadratic tracking problem in the framework of online…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Aren Karapetyan , Diego Bolliger , Anastasios Tsiamis , Efe C. Balta , John Lygeros

In this work, we propose an efficient implementation of mixtures of experts distributional regression models which exploits robust estimation by using stochastic first-order optimization techniques with adaptive learning rate schedulers. We…

Computation · Statistics 2026-03-23 David Rügamer , Florian Pfisterer , Bernd Bischl , Bettina Grün

We consider online optimization with binary decision variables and convex loss functions. We design a new algorithm, binary online gradient descent (bOGD) and bound its expected dynamic regret. We provide a regret bound that holds for any…

Optimization and Control · Mathematics 2022-01-21 Antoine Lesage-Landry , Joshua A. Taylor , Duncan S. Callaway

We consider the fundamental problem of prediction with expert advice where the experts are "optimizable": there is a black-box optimization oracle that can be used to compute, in constant time, the leading expert in retrospect at any point…

Machine Learning · Computer Science 2016-01-28 Elad Hazan , Tomer Koren

To better serve users' demands in mobile applications (e.g., navigation), mobile crowdsourcing platforms can iteratively align large language model (LLM)-generated content (e.g., AI-generated traffic condition predictions) with human…

Machine Learning · Computer Science 2026-05-26 Shugang Hao , Lingjie Duan

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

Machine Learning · Computer Science 2016-09-20 Arthur Flajolet , Patrick Jaillet

We revisit the fundamental problem of prediction with expert advice, in a setting where the environment is benign and generates losses stochastically, but the feedback observed by the learner is subject to a moderate adversarial corruption.…

Machine Learning · Computer Science 2021-07-05 Idan Amir , Idan Attias , Tomer Koren , Roi Livni , Yishay Mansour

Mixture-of-Experts (MoE) models have shown remarkable capability in instruction tuning, especially when the number of tasks scales. However, previous methods simply merge all training tasks (e.g. creative writing, coding, and mathematics)…

Computation and Language · Computer Science 2024-06-18 Tong Zhu , Daize Dong , Xiaoye Qu , Jiacheng Ruan , Wenliang Chen , Yu Cheng
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