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Consider an online convex optimization problem where the loss functions are self-concordant barriers, smooth relative to a convex function $h$, and possibly non-Lipschitz. We analyze the regret of online mirror descent with $h$. Then, based…

机器学习 · 统计学 2023-09-22 Chung-En Tsai , Hao-Chung Cheng , Yen-Huan Li

In reinforcement learning (RL), offline learning decoupled learning from data collection and is useful in dealing with exploration-exploitation tradeoff and enables data reuse in many applications. In this work, we study two offline…

机器学习 · 计算机科学 2022-02-08 Jing Dong , Xin T. Tong

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…

最优化与控制 · 数学 2022-01-21 Antoine Lesage-Landry , Joshua A. Taylor , Duncan S. Callaway

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

This work introduces the first small-loss and gradual-variation regret bounds for online portfolio selection, marking the first instances of data-dependent bounds for online convex optimization with non-Lipschitz, non-smooth losses. The…

机器学习 · 计算机科学 2023-11-07 Chung-En Tsai , Ying-Ting Lin , Yen-Huan Li

We design learning rate schedules that minimize regret for SGD-based online learning in the presence of a changing data distribution. We fully characterize the optimal learning rate schedule for online linear regression via a novel analysis…

机器学习 · 计算机科学 2024-06-19 Matthew Fahrbach , Adel Javanmard , Vahab Mirrokni , Pratik Worah

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

In this paper, we consider the problem of distributed online convex optimization, where a group of agents collaborate to track the global minimizers of a sum of time-varying objective functions in an online manner. Specifically, we propose…

最优化与控制 · 数学 2020-10-14 Yan Zhang , Robert J. Ravier , Vahid Tarokh , Michael M. Zavlanos

In this paper, we consider the problem of online learning of Markov decision processes (MDPs) with very large state spaces. Under the assumptions of realizable function approximation and low Bellman ranks, we develop an online learning…

机器学习 · 计算机科学 2020-06-23 Kefan Dong , Jian Peng , Yining Wang , Yuan Zhou

We study the decentralized online regularized linear regression algorithm over random time-varying graphs. At each time step, every node runs an online estimation algorithm consisting of an innovation term processing its own new…

机器学习 · 计算机科学 2025-10-02 Xiwei Zhang , Tao Li , Xiaozheng Fu

Retrieval-augmented models couple parametric predictors with non-parametric memories, but their use in streaming supervised learning with concept drift is not well understood. We study online classification in non-stationary environments…

机器学习 · 计算机科学 2025-12-03 Wenzhang Du

In online convex optimization it is well known that certain subclasses of objective functions are much easier than arbitrary convex functions. We are interested in designing adaptive methods that can automatically get fast rates in as many…

机器学习 · 计算机科学 2021-08-31 Tim van Erven , Wouter M. Koolen

We introduce a new online convex optimization algorithm that adaptively chooses its regularization function based on the loss functions observed so far. This is in contrast to previous algorithms that use a fixed regularization function…

机器学习 · 计算机科学 2010-07-08 H. Brendan McMahan , Matthew Streeter

This paper introduces a projected functional gradient descent algorithm (P-FGD) for training nonparametric additive quantile regression models in online settings. This algorithm extends the functional stochastic gradient descent framework…

机器学习 · 统计学 2026-04-13 Haoran Zhan

We study neural-linear bandits for solving problems where {\em both} exploration and representation learning play an important role. Neural-linear bandits harnesses the representation power of Deep Neural Networks (DNNs) and combines it…

机器学习 · 计算机科学 2021-06-09 Ofir Nabati , Tom Zahavy , Shie Mannor

We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinite-horizon discounted Markov decision process (MDP). While existing analyses of common approaches, such as fitted $Q$-iteration…

机器学习 · 计算机科学 2023-07-13 Yichun Hu , Nathan Kallus , Masatoshi Uehara

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…

机器学习 · 计算机科学 2019-09-24 Arun Sai Suggala , Praneeth Netrapalli

We study realizable continual linear regression under random task orderings, a common setting for developing continual learning theory. In this setup, the worst-case expected loss after $k$ learning iterations admits a lower bound of…

机器学习 · 计算机科学 2025-10-28 Ran Levinstein , Amit Attia , Matan Schliserman , Uri Sherman , Tomer Koren , Daniel Soudry , Itay Evron

We study the generalization performance of online learning algorithms trained on samples coming from a dependent source of data. We show that the generalization error of any stable online algorithm concentrates around its regret--an easily…

机器学习 · 统计学 2012-06-08 Alekh Agarwal , John C. Duchi

Neural networks are achieving state of the art and sometimes super-human performance on learning tasks across a variety of domains. Whenever these problems require learning in a continual or sequential manner, however, neural networks…

机器学习 · 计算机科学 2019-10-17 Mehrdad Farajtabar , Navid Azizan , Alex Mott , Ang Li