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This paper formalizes a demand response task as an optimization problem featuring a known time-varying engineering cost and an unknown (dis)comfort function. Based on this model, this paper develops a feedback-based projected gradient…

最优化与控制 · 数学 2020-06-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

数据结构与算法 · 计算机科学 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

We consider online algorithms with respect to the competitive ratio. Here, we investigate quantum and classical one-way automata with non-constant size of memory (streaming algorithms) as a model for online algorithms. We construct problems…

数据结构与算法 · 计算机科学 2019-06-24 Kamil Khadiev , Aliya Khadieva , Mansur Ziatdinov , Dmitry Kravchenko , Alexander Rivosh , Ramis Yamilov , Ilnaz Mannapov

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

We propose a new model for augmenting algorithms with predictions by requiring that they are formally learnable and instance robust. Learnability ensures that predictions can be efficiently constructed from a reasonable amount of past data.…

机器学习 · 计算机科学 2021-07-05 Thomas Lavastida , Benjamin Moseley , R. Ravi , Chenyang Xu

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

数据结构与算法 · 计算机科学 2024-11-21 Will Ma

This paper studies the adversarial-robustness of importance-sampling (aka sensitivity sampling); a useful algorithmic technique that samples elements with probabilities proportional to some measure of their importance. A streaming or online…

数据结构与算法 · 计算机科学 2025-12-11 Yotam Kenneth-Mordoch , Shay Sapir

We study the online constrained ranking problem motivated by an application to web-traffic shaping: an online stream of sessions arrive in which, within each session, we are asked to rank items. The challenge involves optimizing the ranking…

最优化与控制 · 数学 2017-02-24 Parikshit Shah , Akshay Soni , Troy Chevalier

The online bisection problem is a natural dynamic variant of the classic optimization problem, where one has to dynamically maintain a partition of $n$ elements into two clusters of cardinality $n/2$. During runtime, an online algorithm is…

数据结构与算法 · 计算机科学 2024-03-19 Marcin Bienkowski , Stefan Schmid

Traditionally, the problem of apportioning the seats of a legislative body has been viewed as a one-shot process with no dynamic considerations. While this approach is reasonable for some settings, dynamic aspects play an important role in…

计算机科学与博弈论 · 计算机科学 2025-10-17 Javier Cembrano , Jose Correa , Svenja M. Griesbach , Victor Verdugo

We consider the online unrelated-machine load balancing problem with recourse, where the algorithm is allowed to re-assign prior jobs. We give a $(2+\epsilon)$-competitive algorithm for the problem with $O_\epsilon(\log n)$ amortized…

数据结构与算法 · 计算机科学 2022-11-30 Ravishankar Krishnaswamy , Shi Li , Varun Suriyanarayana

We study a fundamental model of resource allocation in which a finite number of resources must be assigned in an online manner to a heterogeneous stream of customers. The customers arrive randomly over time according to known stochastic…

最优化与控制 · 数学 2018-05-16 Clifford Stein , Van-Anh Truong , Xinshang Wang

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

We investigate the problem of serving deferrable and nondeferrable electric demands with colocated stochastic supply and grid-imported electricity. Deferrable demands arrive randomly and can be delayed within their service deadlines.…

系统与控制 · 电气工程与系统科学 2026-05-05 Minjae Jeon , Lang Tong , Qing Zhao

We study fully dynamic online selection problems in an adversarial/stochastic setting that includes Bayesian online selection, prophet inequalities, posted price mechanisms, and stochastic probing problems subject to combinatorial…

人工智能 · 计算机科学 2023-01-10 Vashist Avadhanula , Andrea Celli , Riccardo Colini-Baldeschi , Stefano Leonardi , Matteo Russo

A frequently studied performance measure in online optimization is competitive analysis. It corresponds to the worst-case ratio, over all possible inputs of an algorithm, between the performance of the algorithm and the optimal offline…

最优化与控制 · 数学 2024-05-30 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

Online allocation problems with resource constraints are central problems in revenue management and online advertising. In these problems, requests arrive sequentially during a finite horizon and, for each request, a decision maker needs to…

数据结构与算法 · 计算机科学 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

Online knapsack problem is considered, where items arrive in a sequential fashion that have two attributes; value and weight. Each arriving item has to be accepted or rejected on its arrival irrevocably. The objective is to maximize the sum…

数据结构与算法 · 计算机科学 2017-11-30 Rahul Vaze

We introduce and study the weighted version of an online matching problem in the Euclidean plane with non-crossing constraints: points with non-negative weights arrive online, and an algorithm can match an arriving point to one of the…

数据结构与算法 · 计算机科学 2026-03-11 Joan Boyar , Shahin Kamali , Kim S. Larsen , Ali Fata Lavasani , Yaqiao Li , Denis Pankratov

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…

最优化与控制 · 数学 2019-10-22 Ezra Tampubolon , Holger Boche