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Focusing on the expert problem in online learning, this paper studies the interpolation of several performance metrics via $\phi$-regret minimization, which measures the total loss of an algorithm by its regret with respect to an arbitrary…

Machine Learning · Statistics 2025-06-19 Zhou Lu , Y. Jennifer Sun , Zhiyu Zhang

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…

Machine Learning · Computer Science 2021-06-09 Ofir Nabati , Tom Zahavy , Shie Mannor

It has been experimentally observed in recent years that multi-layer artificial neural networks have a surprising ability to generalize, even when trained with far more parameters than observations. Is there a theoretical basis for this?…

Machine Learning · Statistics 2018-09-19 Andrew R. Barron , Jason M. Klusowski

Although hash function learning algorithms have achieved great success in recent years, most existing hash models are off-line, which are not suitable for processing sequential or online data. To address this problem, this work proposes an…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Long-Kai Huang , Qiang Yang , Wei-Shi Zheng

We initiate the mathematical study of replicability as an algorithmic property in the context of reinforcement learning (RL). We focus on the fundamental setting of discounted tabular MDPs with access to a generative model. Inspired by…

Machine Learning · Computer Science 2023-10-31 Amin Karbasi , Grigoris Velegkas , Lin F. Yang , Felix Zhou

We consider the framework of non-stationary Online Convex Optimization where a learner seeks to control its dynamic regret against an arbitrary sequence of comparators. When the loss functions are strongly convex or exp-concave, we…

Machine Learning · Computer Science 2021-11-24 Dheeraj Baby , Hilaf Hasson , Yuyang Wang

Understanding the computational complexity of training simple neural networks with rectified linear units (ReLUs) has recently been a subject of intensive research. Closing gaps and complementing results from the literature, we present…

Machine Learning · Computer Science 2022-08-24 Vincent Froese , Christoph Hertrich , Rolf Niedermeier

This paper investigates a hybrid learning framework for reinforcement learning (RL) in which the agent can leverage both an offline dataset and online interactions to learn the optimal policy. We present a unified algorithm and analysis and…

Machine Learning · Computer Science 2025-07-01 Ruiquan Huang , Donghao Li , Chengshuai Shi , Cong Shen , Jing Yang

We study online adversarial regression with convex losses against a rich class of continuous yet highly irregular prediction rules, modeled by Besov spaces $B\_{pq}^s$ with general parameters $1 \leq p,q \leq \infty$ and smoothness $s >…

Statistics Theory · Mathematics 2025-09-23 Paul Liautaud , Pierre Gaillard , Olivier Wintenberger

We revisit the sequential variants of linear regression with the squared loss, classification problems with hinge loss, and logistic regression, all characterized by unbounded losses in the setup where no assumptions are made on the…

Machine Learning · Statistics 2025-09-08 Jian Qian , Alexander Rakhlin , Nikita Zhivotovskiy

Conventional hyperparameter optimization methods are computationally intensive and hard to generalize to scenarios that require dynamically adapting hyperparameters, such as life-long learning. Here, we propose an online hyperparameter…

Machine Learning · Computer Science 2021-04-09 Daniel Jiwoong Im , Cristina Savin , Kyunghyun Cho

We provide new insights on eluder dimension, a complexity measure that has been extensively used to bound the regret of algorithms for online bandits and reinforcement learning with function approximation. First, we study the relationship…

Machine Learning · Computer Science 2022-10-06 Gene Li , Pritish Kamath , Dylan J. Foster , Nathan Srebro

Online-learning literature has focused on designing algorithms that ensure sub-linear growth of the cumulative long-term constraint violations. The drawback of this guarantee is that strictly feasible actions may cancel out constraint…

Optimization and Control · Mathematics 2019-10-22 Ezra Tampubolon , Holger Boche

Low-distortional metric embeddings are a crucial component in the modern algorithmic toolkit. In an online metric embedding, points arrive sequentially and the goal is to embed them into a simple space irrevocably, while minimizing the…

Data Structures and Algorithms · Computer Science 2024-11-05 Sujoy Bhore , Arnold Filtser , Csaba D. Tóth

In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

Machine Learning · Computer Science 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou

This paper studies model-based reinforcement learning (RL) for regret minimization. We focus on finite-horizon episodic RL where the transition model $P$ belongs to a known family of models $\mathcal{P}$, a special case of which is when…

Machine Learning · Computer Science 2020-06-02 Alex Ayoub , Zeyu Jia , Csaba Szepesvari , Mengdi Wang , Lin F. Yang

We consider the Minimum Description Length principle for online sequence prediction. If the underlying model class is discrete, then the total expected square loss is a particularly interesting performance measure: (a) this quantity is…

Machine Learning · Computer Science 2007-07-16 Jan Poland , Marcus Hutter

We study offline reinforcement learning under $Q^\star$-approximation and partial coverage, a setting that motivates practical algorithms such as Conservative $Q$-Learning (CQL; Kumar et al., 2020) but has received limited theoretical…

Machine Learning · Computer Science 2026-02-13 Haolin Liu , Braham Snyder , Chen-Yu Wei

Discrete adversarial attacks are symbolic perturbations to a language input that preserve the output label but lead to a prediction error. While such attacks have been extensively explored for the purpose of evaluating model robustness,…

Machine Learning · Computer Science 2021-11-02 Maor Ivgi , Jonathan Berant

The goal of online prediction with expert advice is to find a decision strategy which will perform almost as well as the best expert in a given pool of experts, on any sequence of outcomes. This problem has been widely studied and…

Machine Learning · Computer Science 2018-05-22 Parameswaran Kamalaruban , Robert C. Williamson , Xinhua Zhang