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We develop the first parameter-free algorithms for the Stochastically Extended Adversarial (SEA) model, a framework that bridges adversarial and stochastic online convex optimization. Existing approaches for the SEA model require prior…

机器学习 · 计算机科学 2025-10-07 Shuche Wang , Adarsh Barik , Peng Zhao , Vincent Y. F. Tan

We give a polynomial-time algorithm for OnlineSetCover with a competitive ratio of $O(\log mn)$ when the elements are revealed in random order, essentially matching the best possible offline bound of $O(\log n)$ and circumventing the…

数据结构与算法 · 计算机科学 2024-07-09 Anupam Gupta , Gregory Kehne , Roie Levin

We propose online algorithms for sequential learning in the contextual multi-armed bandit setting. Our approach is to partition the context space and then optimally combine all of the possible mappings between the partition regions and the…

机器学习 · 计算机科学 2017-12-11 Mohammadreza Mohaghegh Neyshabouri , Kaan Gokcesu , Huseyin Ozkan , Suleyman S. Kozat

Bayesian optimization (BO) is a sample-efficient global optimization algorithm for black-box functions which are expensive to evaluate. Existing literature on model based optimization in conditional parameter spaces are usually built on…

机器学习 · 统计学 2020-10-08 Xingchen Ma , Matthew B. Blaschko

Various optimality properties of universal sequence predictors based on Bayes-mixtures in general, and Solomonoff's prediction scheme in particular, will be studied. The probability of observing $x_t$ at time $t$, given past observations…

机器学习 · 计算机科学 2007-05-23 Marcus Hutter

As more data are produced each day, and faster, data stream mining is growing in importance, making clear the need for algorithms able to fast process these data. Data stream mining algorithms are meant to be solutions to extract knowledge…

We introduce several new black-box reductions that significantly improve the design of adaptive and parameter-free online learning algorithms by simplifying analysis, improving regret guarantees, and sometimes even improving runtime. We…

机器学习 · 计算机科学 2018-06-27 Ashok Cutkosky , Francesco Orabona

Computing lower and upper bounds on the competitive ratio of online algorithms is a challenging question: For a minimization combinatorial problem, proving a competitive ratio for a given algorithm leads to an upper bound. However computing…

计算机科学与博弈论 · 计算机科学 2022-12-19 Antoine Lhomme , Olivier Romane , Nicolas Catusse , Nadia Brauner

We study the problem of learning a Bayesian network (BN) of a set of variables when structural side information about the system is available. It is well known that learning the structure of a general BN is both computationally and…

机器学习 · 计算机科学 2021-12-22 Ehsan Mokhtarian , Sina Akbari , Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

We apply the general protocol of parameter optimization (Lee, J. et al. Phys. Chem. B 2001, 105, 7291) to the UNRES potential. In contrast to the earlier works where only the relative weights of various interaction terms were optimized, we…

软凝聚态物质 · 物理学 2007-05-23 Julian Lee , Kibeom Park , Jooyoung Lee

Online optimization problems arise in many resource allocation tasks, where the future demands for each resource and the associated utility functions change over time and are not known apriori, yet resources need to be allocated at every…

最优化与控制 · 数学 2015-02-06 Reza Eghbali , Jon Swenson , Maryam Fazel

In the problem of online unweighted interval selection, the objective is to maximize the number of non-conflicting intervals accepted by the algorithm. In the conventional online model of irrevocable decisions, there is an Omega(n) lower…

数据结构与算法 · 计算机科学 2025-06-03 Allan Borodin , Christodoulos Karavasilis

The permutahedron is the convex polytope with vertex set consisting of the vectors $(\pi(1),\dots, \pi(n))$ for all permutations (bijections) $\pi$ over $\{1,\dots, n\}$. We study a bandit game in which, at each step $t$, an adversary…

机器学习 · 计算机科学 2014-07-08 Nir Ailon , Kohei Hatano , Eiji Takimoto

We consider off-policy selection and learning in contextual bandits, where the learner aims to select or train a reward-maximizing policy using data collected by a fixed behavior policy. Our contribution is two-fold. First, we propose a…

机器学习 · 计算机科学 2025-07-15 J. Jon Ryu , Jeongyeol Kwon , Benjamin Koppe , Kwang-Sung Jun

We propose a sequential optimizing betting strategy in the multi-dimensional bounded forecasting game in the framework of game-theoretic probability of Shafer and Vovk (2001). By studying the asymptotic behavior of its capital process, we…

概率论 · 数学 2011-02-16 Masayuki Kumon , Akimichi Takemura , Kei Takeuchi

In this paper, we study optimization problems where the cost function contains time-varying parameters that are unmeasurable and evolve according to linear, yet unknown, dynamics. We propose a solution that leverages control theoretic tools…

最优化与控制 · 数学 2025-03-20 Shivanshu Tripathi , Abed AlRahman Al Makdah , Fabio Pasqualetti

Online Contention Resolution Schemes (OCRS's) represent a modern tool for selecting a subset of elements, subject to resource constraints, when the elements are presented to the algorithm sequentially. OCRS's have led to some of the…

数据结构与算法 · 计算机科学 2024-04-03 Calum MacRury , Will Ma , Nathaniel Grammel

We develop a new approach for online network design and obtain improved competitive ratios for several problems. Our approach gives natural deterministic algorithms and simple analyses. At the heart of our work is a novel application of…

数据结构与算法 · 计算机科学 2014-10-17 Seeun Umboh

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

In this paper we examine problems motivated by on-line financial problems and stochastic games. In particular, we consider a sequence of entirely arbitrary distinct values arriving in random order, and must devise strategies for selecting…

数据结构与算法 · 计算机科学 2007-05-23 Ming-Yang Kao , Stephen R. Tate