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In \emph{Online Sorting}, an array of $n$ initially empty cells is given. At each time step $t$, an element $x_t \in [0,1]$ arrives and must be placed irrevocably into an empty cell without any knowledge of future arrivals. We aim to…

数据结构与算法 · 计算机科学 2025-10-02 Andreas Kalavas , Charalampos Platanos , Thanos Tolias

In \emph{Online Sorting}, an array of $n$ initially empty cells is given. At each time step $t$, an element $x_t \in [0,1]$ arrives and must be placed irrevocably into an empty cell without any knowledge of future arrivals. We aim to…

数据结构与算法 · 计算机科学 2026-01-19 Andreas Kalavas , Charalampos Platanos , Thanos Tolias

We establish Multilayer Correlation Clustering, a novel generalization of Correlation Clustering to the multilayer setting. In this model, we are given a series of inputs of Correlation Clustering (called layers) over the common set $V$ of…

数据结构与算法 · 计算机科学 2026-05-20 Atsushi Miyauchi , Florian Adriaens , Francesco Bonchi , Nikolaj Tatti

In this paper, we analyze different preconditionings designed to enhance robustness of pure-pixel search algorithms, which are used for blind hyperspectral unmixing and which are equivalent to near-separable nonnegative matrix factorization…

机器学习 · 统计学 2015-05-29 Nicolas Gillis , Wing-Kin Ma

Correlation Clustering (CC) is a fundamental unsupervised learning primitive whose strongest LP-based approximation guarantees require $\Theta(n^3)$ triangle inequality constraints and are prohibitive at scale. We initiate the study of…

机器学习 · 计算机科学 2026-02-17 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

In the scheduling with non-uniform communication delay problem, the input is a set of jobs with precedence constraints. Associated with every precedence constraint between a pair of jobs is a communication delay, the time duration the…

数据结构与算法 · 计算机科学 2021-05-04 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Sai Sandeep , Jakub Tarnawski , Yihao Zhang

This paper considers the basic problem of scheduling jobs online with preemption to maximize the number of jobs completed by their deadline on $m$ identical machines. The main result is an $O(1)$ competitive deterministic algorithm for any…

数据结构与算法 · 计算机科学 2024-08-26 Benjamin Moseley , Kirk Pruhs , Clifford Stein , Rudy Zhou

Speculative decoding accelerates Large Language Model (LLM) inference by employing a small speculative model (SSM) to generate multiple candidate tokens and verify them using the LLM in parallel. This technique has been widely integrated…

计算与语言 · 计算机科学 2025-05-26 Ruixiao Li , Fahao Chen , Peng Li

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

数据结构与算法 · 计算机科学 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

We present new algorithms for computing many faces in arrangements of lines and segments. Given a set $S$ of $n$ lines (resp., segments) and a set $P$ of $m$ points in the plane, the problem is to compute the faces of the arrangements of…

计算几何 · 计算机科学 2021-10-19 Haitao Wang

In the \textit{Matroid Secretary Problem} (MSP), the elements of the ground set of a Matroid are revealed on-line one by one, each together with its value. An algorithm for the MSP is \textit{Matroid-Unknown} if, at every stage of its…

数据结构与算法 · 计算机科学 2014-09-03 Oded Lachish

For a fixed virtual scene (=collection of simplices) S and given observer position p, how many elements of S are weakly visible (i.e. not fully occluded by others) from p? The present work explores the trade-off between query time and…

We define an online learning and optimization problem with discrete and irreversible decisions contributing toward a coverage target. In each period, a decision-maker selects facilities to open, receives information on the success of each…

机器学习 · 计算机科学 2026-03-06 Alexandre Jacquillat , Michael Lingzhi Li

For a polygon P with n vertices, the vertex guarding problem asks for the minimum subset G of P's vertices such that every point in P is seen by at least one point in G. This problem is NP-complete and APX-hard. The first approximation…

计算几何 · 计算机科学 2011-02-17 James King

In decentralized networked supervisory control of discrete-event systems (DESs), the local supervisors observe event occurrences subject to observation delays to make correct control decisions. Delay coobservability describes whether these…

系统与控制 · 电气工程与系统科学 2022-05-20 Yunfeng Hou , Qingdu Li , Yunfeng Ji , Gang Wang , Ching-Yen Weng

Convolutional neural networks (CNNs) have achieved superhuman performance in multiple vision tasks, especially image classification. However, unlike humans, CNNs leverage spurious features, such as background information to make decisions.…

计算机视觉与模式识别 · 计算机科学 2022-10-07 Ke Wang , Harshitha Machiraju , Oh-Hyeon Choung , Michael Herzog , Pascal Frossard

Motivated by fairness requirements in communication networks, we introduce a natural variant of the online paging problem, called \textit{min-max} paging, where the objective is to minimize the maximum number of faults on any page. While…

数据结构与算法 · 计算机科学 2022-12-07 Ashish Chiplunkar , Monika Henzinger , Sagar Sudhir Kale , Maximilian Vötsch

The discrete logarithm problem in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have time complexity of $\mathcal{O}(\sqrt{N}\log N)$, and a space complexity of…

计算复杂性 · 计算机科学 2022-03-16 Simran Tinani , Joachim Rosenthal

Occlusions of objects is one of the indispensable problems in Computer vision. While Convolutional Neural Net-works (CNNs) provide various state of the art approaches for regular image classification, they however, prove to be not as…

计算机视觉与模式识别 · 计算机科学 2023-04-26 Karthick Prasad Gunasekaran , Nikita Jaiman

Many existing algorithms for streaming geometric data analysis have been plagued by exponential dependencies in the space complexity, which are undesirable for processing high-dimensional data sets. In particular, once $d\geq\log n$, there…

数据结构与算法 · 计算机科学 2022-09-28 David P. Woodruff , Taisuke Yasuda
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