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This paper introduces \textit{online bilevel optimization} in which a sequence of time-varying bilevel problems is revealed one after the other. We extend the known regret bounds for online single-level algorithms to the bilevel setting.…

最优化与控制 · 数学 2024-07-10 Davoud Ataee Tarzanagh , Parvin Nazari , Bojian Hou , Li Shen , Laura Balzano

We introduce an online convex optimization algorithm which utilizes projected subgradient descent with optimal adaptive learning rates. Our method provides second-order minimax-optimal dynamic regret guarantee (i.e. dependent on the sum of…

最优化与控制 · 数学 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

This paper presents a distributed O(1)-approximation algorithm, with expected-$O(\log \log n)$ running time, in the $\mathcal{CONGEST}$ model for the metric facility location problem on a size-$n$ clique network. Though metric facility…

分布式、并行与集群计算 · 计算机科学 2013-08-13 Andrew Berns , James Hegeman , Sriram V. Pemmaraju

Simulation is a powerful tool to study the behavior of physical, environmental, and social systems under different conditions. Evacuation simulation can be used to estimate the required time for people to exit a building or evacuate…

物理与社会 · 物理学 2021-03-23 Fardad Haghpanah , Judith Mitrani-Reiser , Benjamin W. Schafer

Let G = (V,E) be a planar n-vertex digraph. Consider the problem of computing max st-flow values in G from a fixed source s to all sinks t in V\{s}. We show how to solve this problem in near-linear O(n log^3 n) time. Previously, no better…

离散数学 · 计算机科学 2012-10-18 Jakub Łącki , Yahav Nussbaum , Piotr Sankowski , Christian Wulff-Nilsen

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

机器学习 · 计算机科学 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

This paper investigates distributed online convex optimization in the presence of an aggregative variable without any global/central coordinators over a multi-agent network, where each individual agent is only able to access partial…

最优化与控制 · 数学 2020-07-15 Xiuxian Li , Xinlei Yi , Lihua Xie

We present self-adjusting data structures for answering point location queries in convex and connected subdivisions. Let $n$ be the number of vertices in a convex or connected subdivision. Our structures use $O(n)$ space. For any convex…

计算几何 · 计算机科学 2018-10-02 Siu-Wing Cheng , Man-Kit Lau

We propose the first contextual bandit algorithm that is parameter-free, efficient, and optimal in terms of dynamic regret. Specifically, our algorithm achieves dynamic regret $\mathcal{O}(\min\{\sqrt{ST},…

机器学习 · 计算机科学 2019-06-19 Yifang Chen , Chung-Wei Lee , Haipeng Luo , Chen-Yu Wei

We consider the problem of joint routing and scheduling in queueing networks, where the edge transmission costs are unknown. At each time-slot, the network controller receives noisy observations of transmission costs only for those edges it…

网络与互联网体系结构 · 计算机科学 2025-11-05 Sathwik Chadaga , Eytan Modiano

In online convex optimization, the player aims to minimize regret, or the difference between her loss and that of the best fixed decision in hindsight over the entire repeated game. Algorithms that minimize (standard) regret may converge to…

机器学习 · 计算机科学 2023-02-14 Zhou Lu , Elad Hazan

In this paper, we study discrete evacuation in networks, where agents know the network topology and designated exit nodes but do not know the number and initial positions of other agents. Each agent initially occupies a distinct node and…

离散数学 · 计算机科学 2026-04-16 Piotr Borowiecki , Dariusz Dereniowski , Łukasz Kuszner

Optimal sensor placement (SP) usually minimizes an impact measure, such as the amount of contaminated water or the number of inhabitants affected before detection. The common choice is to minimize the minimum detection time (MDT) averaged…

信号处理 · 电气工程与系统科学 2021-03-09 Antonio Candelieri , Andrea Ponti , Francesco Archetti

We study the problem of approximately simulating a $t$-step random walk on a graph where the input edges come from a single-pass stream. The straightforward algorithm using reservoir sampling needs $O(nt)$ words of memory. We show that this…

数据结构与算法 · 计算机科学 2020-01-03 Ce Jin

In this paper, we study the online shortest path problem in directed acyclic graphs (DAGs) under bandit feedback against an adaptive adversary. Given a DAG $G = (V, E)$ with a source node $v_{\mathsf{s}}$ and a sink node $v_{\mathsf{t}}$,…

机器学习 · 计算机科学 2025-04-04 Arnab Maiti , Zhiyuan Fan , Kevin Jamieson , Lillian J. Ratliff , Gabriele Farina

Existing approaches to online convex optimization (OCO) make sequential one-slot-ahead decisions, which lead to (possibly adversarial) losses that drive subsequent decision iterates. Their performance is evaluated by the so-called regret…

系统与控制 · 计算机科学 2017-11-22 Tianyi Chen , Qing Ling , Georgios B. Giannakis

As an important tool for multi-criteria decision making in database systems, the regret minimization query is shown to have the merits of top-k and skyline queries: it controls the output size while does not need users to provide any…

数据库 · 计算机科学 2020-06-22 Jiping Zheng , Chen Chen

A collection of $k$ mobile agents is arbitrarily deployed in the edges of a directed torus network where agents perpetually move to the successor edge. Each node has a switch that allows one agent of the two incoming edges to pass to its…

数据结构与算法 · 计算机科学 2021-09-03 Oscar Morales-Ponce , Burkhard Englert , Mehrdad Aliasgari

The goal of a learner in standard online learning is to maintain an average loss close to the loss of the best-performing single function in some class. In many real-world problems, such as rating or ranking items, there is no single best…

机器学习 · 计算机科学 2013-03-18 Edward Moroshko , Koby Crammer

Online learning aims to perform nearly as well as the best hypothesis in hindsight. For some hypothesis classes, though, even finding the best hypothesis offline is challenging. In such offline cases, local search techniques are often…

人工智能 · 计算机科学 2012-06-18 Michael Bowling , Martin Zinkevich