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We analyze and evaluate an online gradient descent algorithm with adaptive per-coordinate adjustment of learning rates. Our algorithm can be thought of as an online version of batch gradient descent with a diagonal preconditioner. This…

机器学习 · 计算机科学 2010-02-26 Matthew Streeter , H. Brendan McMahan

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

机器学习 · 计算机科学 2021-12-08 Gautam Goel , Babak Hassibi

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

机器学习 · 计算机科学 2016-12-16 Hoel Le Capitaine

The goal of a learner in standard online learning is to maintain an average loss close to the loss of the best-performing single function in some class. In many real-world problems, such as rating or ranking items, there is no single best…

机器学习 · 计算机科学 2013-03-18 Edward Moroshko , Koby Crammer

We consider online learning with linear models, where the algorithm predicts on sequentially revealed instances (feature vectors), and is compared against the best linear function (comparator) in hindsight. Popular algorithms in this…

机器学习 · 计算机科学 2019-02-21 Michał Kempka , Wojciech Kotłowski , Manfred K. Warmuth

We study an online linear regression setting in which the observed feature vectors are corrupted by noise and the learner can pay to reduce the noise level. In practice, this may happen for several reasons: for example, because features can…

机器学习 · 计算机科学 2025-11-12 Nadav Merlis , Kyoungseok Jang , Nicolò Cesa-Bianchi

Smoothness is known to be crucial for acceleration in offline optimization, and for gradient-variation regret minimization in online learning. Interestingly, these two problems are actually closely connected -- accelerated optimization can…

机器学习 · 计算机科学 2025-11-05 Yuheng Zhao , Yu-Hu Yan , Kfir Yehuda Levy , Peng Zhao

In this paper, we propose the Lipschitz margin ratio and a new metric learning framework for classification through maximizing the ratio. This framework enables the integration of both the inter-class margin and the intra-class dispersion,…

机器学习 · 计算机科学 2018-02-13 Mingzhi Dong , Xiaochen Yang , Yang Wu , Jing-Hao Xue

This letter studies the problem of online multi-step-ahead prediction for unknown linear stochastic systems. Using conditional distribution theory, we derive an optimal parameterization of the prediction policy as a linear function of…

机器学习 · 计算机科学 2025-11-18 Jiachen Qian , Yang Zheng

Deep neural networks are considered to be state of the art models in many offline machine learning tasks. However, their performance and generalization abilities in online learning tasks are much less understood. Therefore, we focus on…

机器学习 · 计算机科学 2019-05-28 Guy Uziel

In online learning an algorithm plays against an environment with losses possibly picked by an adversary at each round. The generality of this framework includes problems that are not adversarial, for example offline optimization, or saddle…

机器学习 · 计算机科学 2021-02-04 Ryan D'Orazio , Ruitong Huang

The goal of a learner, in standard online learning, is to have the cumulative loss not much larger compared with the best-performing function from some fixed class. Numerous algorithms were shown to have this gap arbitrarily close to zero,…

机器学习 · 计算机科学 2013-03-04 Nina Vaits , Edward Moroshko , Koby Crammer

An open challenge in supervised learning is \emph{conceptual drift}: a data point begins as classified according to one label, but over time the notion of that label changes. Beyond linear autoregressive models, transfer and meta learning…

最优化与控制 · 数学 2019-09-13 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat , Brian M. Sadler

Modern applications in sensitive domains such as biometrics and medicine frequently require the use of non-decomposable loss functions such as precision@k, F-measure etc. Compared to point loss functions such as hinge-loss, these offer much…

机器学习 · 计算机科学 2014-10-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

Algorithms for online learning typically require one or more boundedness assumptions: that the domain is bounded, that the losses are Lipschitz, or both. In this paper, we develop a new setting for online learning with unbounded domains and…

机器学习 · 计算机科学 2023-07-18 Andrew Jacobsen , Ashok Cutkosky

We study Online Convex Optimization in the unbounded setting where neither predictions nor gradient are constrained. The goal is to simultaneously adapt to both the sequence of gradients and the comparator. We first develop parameter-free…

机器学习 · 计算机科学 2020-08-11 Zakaria Mhammedi , Wouter M. Koolen

As application demands for online convex optimization accelerate, the need for designing new methods that simultaneously cover a large class of convex functions and impose the lowest possible regret is highly rising. Known online…

机器学习 · 计算机科学 2019-06-04 Saeed Masoudian , Ali Arabzadeh , Mahdi Jafari Siavoshani , Milad Jalal , Alireza Amouzad

We develop parameter-free algorithms for unconstrained online learning with regret guarantees that scale with the gradient variation $V_T(u) = \sum_{t=2}^T \|\nabla f_t(u)-\nabla f_{t-1}(u)\|^2$. For $L$-smooth convex loss, we provide…

机器学习 · 计算机科学 2026-04-14 Yuheng Zhao , Andrew Jacobsen , Nicolò Cesa-Bianchi , Peng Zhao

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…

机器学习 · 计算机科学 2023-05-23 Min Gan , Xiang-xiang Su , Guang-yong Chen , Jing Chen

This work focuses on the setting of dynamic regret in the context of online learning with full information. In particular, we analyze regret bounds with respect to the temporal variability of the loss functions. By assuming that the…

机器学习 · 计算机科学 2021-02-16 Nicolò Campolongo , Francesco Orabona