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When selecting locations for a set of facilities, standard clustering algorithms may place unfair burden on some individuals and neighborhoods. We formulate a fairness concept that takes local population densities into account. In…

数据结构与算法 · 计算机科学 2019-09-02 Christopher Jung , Sampath Kannan , Neil Lutz

We study the online problem of assigning a moving point to a base-station region that contains it. For instance, the moving object could represent a cellular phone and the base station could represent the coverage zones of cell towers. Our…

计算几何 · 计算机科学 2011-05-03 David Eppstein , Michael T. Goodrich , Maarten Löffler

The problem of uniformly placing N points onto a sphere finds applications in many areas. For example, points on the sphere correspond to unit quaternions as well as to the group of rotations SO(3) and the online version of generating…

计算几何 · 计算机科学 2020-05-14 Paul C. Bell , Igor Potapov

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

数据结构与算法 · 计算机科学 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

In this paper we propose an online approximate k-nn graph building algorithm, which is able to quickly update a k-nn graph using a flow of data points. One very important step of the algorithm consists in using the current distributed graph…

数据结构与算法 · 计算机科学 2016-02-23 Thibault Debatty , Pietro Michiardi , Wim Mees

Despite its importance for practical applications, not much is known about the optimal shape of a network that connects in an efficient way a set of points. This problem can be formulated in terms of a multiplex network with a fast layer…

物理与社会 · 物理学 2023-11-13 Siddharth Patwardhan , Marc Barthelemy , Sirag Erkol , Santo Fortunato , Filippo Radicchi

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

数据结构与算法 · 计算机科学 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

We explore the use of local algorithms in the design of streaming algorithms for the Maximum Directed Cut problem. Specifically, building on the local algorithm of Buchbinder et al. (FOCS'12) and Censor-Hillel et al. (ALGOSENSORS'17), we…

数据结构与算法 · 计算机科学 2024-12-02 Raghuvansh R. Saxena , Noah G. Singer , Madhu Sudan , Santhoshini Velusamy

Strategic product placement can have a strong influence on customer purchase behavior in physical stores as well as online platforms. Motivated by this, we consider the problem of optimizing the placement of substitutable products in…

数据结构与算法 · 计算机科学 2025-10-06 Omar El Housni , Rajan Udwani

We consider a design problem where experimental conditions (design points $X_i$) are presented in the form of a sequence of i.i.d.\ random variables, generated with an unknown probability measure $\mu$, and only a given proportion…

统计方法学 · 统计学 2020-08-05 Luc Pronzato , HaiYing Wang

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

数据结构与算法 · 计算机科学 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

In the d-dimensional online bin packing problem, d-dimensional cubes of positive sizes no larger than 1 are presented one by one to be assigned to positions in d-dimensional unit cube bins. In this work, we provide improved upper bounds on…

数据结构与算法 · 计算机科学 2021-05-20 Leah Epstein , Loay Mualem

In online unit clustering, points of a metric space arriving one by one must be partitioned into clusters of diameter at most 1, where the cost is the number of clusters. This paper gives linear upper and lower bounds on the advice…

数据结构与算法 · 计算机科学 2024-09-27 Judit Nagy-György

We present new refinement heuristics for the balanced graph partitioning problem that break with an age-old rule. Traditionally, local search only permits moves that keep the block sizes balanced (below a size constraint). In this work, we…

社会与信息网络 · 计算机科学 2025-05-13 Nikolai Maas , Lars Gottesbüren , Daniel Seemaier

In the online metric traveling salesperson problem, $n$ points of a metric space arrive one by one and have to be placed (immediately and irrevocably) into empty cells of a size-$n$ array. The goal is to minimize the sum of distances…

数据结构与算法 · 计算机科学 2025-07-08 Christian Bertram

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

计算机科学与博弈论 · 计算机科学 2021-11-16 Yasushi Kawase , Hanna Sumita

We present a rectangle-based segmentation algorithm that sets up a graph and performs a graph cut to separate an object from the background. However, graph-based algorithms distribute the graph's nodes uniformly and equidistantly on the…

计算机视觉与模式识别 · 计算机科学 2012-03-14 Jan Egger , Tina Kapur , Thomas Dukatz , Malgorzata Kolodziej , Dzenan Zukic , Bernd Freisleben , Christopher Nimsky

The classical cake cutting problem studies how to find fair allocations of a heterogeneous and divisible resource among multiple agents. Two of the most commonly studied fairness concepts in cake cutting are proportionality and…

数据结构与算法 · 计算机科学 2019-07-15 Xiaohui Bei , Xiaoming Sun , Hao Wu , Jialin Zhang , Zhijie Zhang , Wei Zi

The paper presents a strategy for robotic exploration problem using Space-Filling curves (SFC). The strategy plans a path that avoids unknown obstacles while ensuring complete coverage of the free space in region of interest. The region of…

机器人学 · 计算机科学 2024-03-26 Ashay Wakode , Arpita Sinha

Accurately measuring street dimensions is essential to evaluating how their design influences both travel behavior and safety. However, gathering street-level information at city scale with precision is difficult given the quantity and…

物理与社会 · 物理学 2026-01-28 Marcel Moran , Arunav Gupta , Jiali Qian , Debra Laefer