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We study a type of Online Linear Programming (OLP) problem that maximizes the objective function with stochastic inputs. The performance of various algorithms that analyze this type of OLP is well studied when the stochastic inputs follow…

Optimization and Control · Mathematics 2022-10-04 Owen Shen

The paging problem is that of deciding which pages to keep in a memory of k pages in order to minimize the number of page faults. This paper introduces the marking algorithm, a simple randomized on-line algorithm for the paging problem, and…

Data Structures and Algorithms · Computer Science 2015-06-02 Amos Fiat , Richard Karp , Mike Luby , Lyle McGeoch , Daniel Sleator , Neal E. Young

We study the problem of online clustering where a clustering algorithm has to assign a new point that arrives to one of $k$ clusters. The specific formulation we use is the $k$-means objective: At each time step the algorithm has to…

Machine Learning · Computer Science 2021-04-22 Vincent Cohen-Addad , Benjamin Guedj , Varun Kanade , Guy Rom

In this paper, we propose an optimal control-estimation architecture for distribution networks, which jointly solves the optimal power flow (OPF) problem and static state estimation (SE) problem through an online gradient-based feedback…

Optimization and Control · Mathematics 2022-08-31 Yi Guo , Xinyang Zhou , Changhong Zhao , Lijun Chen , Gabriela Hug , Tyler H. Summers

We consider online $k$-means clustering where each new point is assigned to the nearest cluster center, after which the algorithm may update its centers. The loss incurred is the sum of squared distances from new points to their assigned…

Machine Learning · Computer Science 2022-08-02 Robi Bhattacharjee , Jacob Imola , Michal Moshkovitz , Sanjoy Dasgupta

In this paper, we focus on the solution of online optimization problems that arise often in signal processing and machine learning, in which we have access to streaming sources of data. We discuss algorithms for online optimization based on…

Optimization and Control · Mathematics 2023-05-05 Nicola Bastianello , Ruggero Carli , Andrea Simonetto

We present an online approach to portfolio selection. The motivation is within the context of algorithmic trading, which demands fast and recursive updates of portfolio allocations, as new data arrives. In particular, we look at two online…

Portfolio Management · Quantitative Finance 2010-05-20 Theodoros Tsagaris , Ajay Jasra , Niall Adams

The online list labeling problem is an algorithmic primitive with a large literature of upper bounds, lower bounds, and applications. The goal is to store a dynamically-changing set of $n$ items in an array of $m$ slots, while maintaining…

Data Structures and Algorithms · Computer Science 2022-09-13 Michael A. Bender , Alex Conway , Martín Farach-Colton , Hanna Komlós , William Kuszmaul , Nicole Wein

e consider the experimental design problem in an online environment, an important practical task for reducing the variance of estimates in randomized experiments which allows for greater precision, and in turn, improved decision making. In…

Methodology · Statistics 2022-03-07 David Arbour , Drew Dimmery , Tung Mai , Anup Rao

We revisit the question of reducing online learning to approximate optimization of the offline problem. In this setting, we give two algorithms with near-optimal performance in the full information setting: they guarantee optimal regret and…

Machine Learning · Computer Science 2018-04-24 Elad Hazan , Wei Hu , Yuanzhi Li , Zhiyuan Li

This paper studies online resource allocation with replenishable budgets, where budgets can be replenished on top of the initial budget and an agent sequentially chooses online allocation decisions without violating the available budget…

Computer Science and Game Theory · Computer Science 2024-01-10 Jianyi Yang , Pengfei Li , Mohammad Jaminur Islam , Shaolei Ren

In this paper, we revisit the classic problem of run generation. Run generation is the first phase of external-memory sorting, where the objective is to scan through the data, reorder elements using a small buffer of size M , and output…

Data Structures and Algorithms · Computer Science 2015-04-27 Michael A. Bender , Samuel McCauley , Andrew McGregor , Shikha Singh , Hoa T. Vu

Personalised interactive systems such as recommender systems require selecting relevant items from massive catalogs dependent on context. Reward-driven offline optimisation of these systems can be achieved by a relaxation of the discrete…

Information Retrieval · Computer Science 2023-05-30 Otmane Sakhi , David Rohde , Alexandre Gilotte

In this paper, we consider the online version of the machine minimization problem (introduced by Chuzhoy et al., FOCS 2004), where the goal is to schedule a set of jobs with release times, deadlines, and processing lengths on a minimum…

Discrete Mathematics · Computer Science 2014-03-06 Nikhil Devanur , Konstantin Makarychev , Debmalya Panigrahi , Grigory Yaroslavtsev

We consider scheduling packets with values in a capacity-bounded buffer in an online setting. In this model, there is a buffer with limited capacity $B$. At any time, the buffer cannot accommodate more than $B$ packets. Packets arrive over…

Data Structures and Algorithms · Computer Science 2011-08-02 Fei Li

We study the canonical quantity-based network revenue management (NRM) problem where the decision-maker must irrevocably accept or reject each arriving customer request with the goal of maximizing the total revenue given limited resources.…

Optimization and Control · Mathematics 2022-07-08 Rui Sun , Xinshang Wang , Zijie Zhou

State-of-the-art parallel sorting algorithms for distributed-memory architectures are based on computing a balanced partitioning via sampling and histogramming. By finding samples that partition the sorted keys into evenly-sized chunks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Wentao Yang , Vipul Harsh , Edgar Solomonik

In this paper, we propose a practical online method for solving a class of distributionally robust optimization (DRO) with non-convex objectives, which has important applications in machine learning for improving the robustness of neural…

Machine Learning · Computer Science 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

This chapter introduces the \emph{random-order model} in online algorithms. In this model, the input is chosen by an adversary, then randomly permuted before being presented to the algorithm. This reshuffling often weakens the power of the…

Data Structures and Algorithms · Computer Science 2020-02-28 Anupam Gupta , Sahil Singla

In evaluating an algorithm, worst-case analysis can be overly pessimistic. Average-case analysis can be overly optimistic. An intermediate approach is to show that an algorithm does well on a broad class of input distributions. Koutsoupias…

Data Structures and Algorithms · Computer Science 2015-06-02 Neal E. Young
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