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This work addresses a Multi-Objective Shortest Path Problem (MO-SPP) on a graph where the goal is to find a set of Pareto-optimal solutions from a start node to a destination in the graph. A family of approaches based on MOA* have been…

人工智能 · 计算机科学 2022-05-31 Zhongqiang Ren , Richard Zhan , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

Optimal 3-way comparison search trees (3WCST's) can be computed using standard dynamic programming in time O(n^3), and this can be further improved to O(n^2) by taking advantage of the Monge property. In contrast, the fastest algorithm in…

数据结构与算法 · 计算机科学 2023-11-07 Sunny Atalig , Marek Chrobak , Erfan Mousavian , Jiri Sgall , Pavel Vesely

We present a simple $O(n^4)$-time algorithm for computing optimal search trees with two-way comparisons. The only previous solution to this problem, by Anderson et al., has the same running time, but is significantly more complicated and is…

数据结构与算法 · 计算机科学 2022-02-14 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

We study the problem of collective tree exploration in which a team of $k$ mobile agents must collectively visit all nodes of an unknown tree in as few moves as possible. The agents all start from the root and discover adjacent edges as…

数据结构与算法 · 计算机科学 2025-07-22 Romain Cosson , Laurent Massoulié

The working-set bound [Sleator and Tarjan, J. ACM, 1985] roughly states that searching for an element is fast if the element was accessed recently. Binary search trees, such as splay trees, can achieve this property in the amortized sense,…

数据结构与算法 · 计算机科学 2009-07-14 Prosenjit Bose , Karim Douïeb , Vida Dujmović , John Howat

The minimum degree spanning tree (MDST) problem requires the construction of a spanning tree $T$ for graph $G=(V,E)$ with $n$ vertices, such that the maximum degree $d$ of $T$ is the smallest among all spanning trees of $G$. In this paper,…

数据结构与算法 · 计算机科学 2018-06-12 Michael Dinitz , Magnús M. Halldórsson , Calvin Newport

In the laminar-constrained spanning tree problem, the goal is to find a minimum-cost spanning tree which respects upper bounds on the number of times each cut in a given laminar family is crossed. This generalizes the well-studied…

数据结构与算法 · 计算机科学 2023-04-18 Nathan Klein , Neil Olver

Similarity search, the task of identifying objects most similar to a given query object under a specific metric, has gathered significant attention due to its practical applications. However, the absence of coordinate information to…

数据库 · 计算机科学 2024-05-14 Yifan Zhu , Ruiyao Ma , Baihua Zheng , Xiangyu Ke , Lu Chen , Yunjun Gao

We describe a new instance-based learning algorithm called the Boundary Forest (BF) algorithm, that can be used for supervised and unsupervised learning. The algorithm builds a forest of trees whose nodes store previously seen examples. It…

机器学习 · 计算机科学 2015-05-14 Charles Mathy , Nate Derbinsky , José Bento , Jonathan Rosenthal , Jonathan Yedidia

Given a graph G, the {\em maximum internal spanning tree problem} (MIST for short) asks for computing a spanning tree T of G such that the number of internal vertices in T is maximized. MIST has possible applications in the design of…

数据结构与算法 · 计算机科学 2016-08-02 Zhi-Zhong Chen , Youta Harada , Lusheng Wang

The run time complexity of state-of-the-art inference algorithms in graph-based dependency parsing is super-linear in the number of input words (n). Recently, pruning algorithms for these models have shown to cut a large portion of the…

计算与语言 · 计算机科学 2016-06-09 Effi Levi , Roi Reichart , Ari Rappoport

Given a graph, the sparsest cut problem asks for a subset of vertices whose edge expansion (the normalized cut given by the subset) is minimized. In this paper, we study a generalization of this problem seeking for $ k $ disjoint subsets of…

数据结构与算法 · 计算机科学 2017-02-21 Ramin Javadi , Saleh Ashkboos

We develop and extensively evaluate highly scalable distributed-memory algorithms for computing minimum spanning trees (MSTs). At the heart of our solutions is a scalable variant of Boruvka's algorithm. For partitioned graphs with many…

分布式、并行与集群计算 · 计算机科学 2023-12-11 Peter Sanders , Matthias Schimek

Given a spatio-temporal network (ST network) where edge properties vary with time, a time-sub-interval minimum spanning tree (TSMST) is a collection of minimum spanning trees of the ST network, where each tree is associated with a time…

数据结构与算法 · 计算机科学 2010-05-24 Viswanath Gunturi , Shashi Shekhar , Arnab Bhattacharya

In collective tree exploration, a team of $k$ mobile agents is tasked to go through all edges of an unknown tree as fast as possible. An edge of the tree is revealed to the team when one agent becomes adjacent to that edge. The agents start…

数据结构与算法 · 计算机科学 2023-11-01 Romain Cosson

The problem of {\em efficiently} finding the best match for a query in a given set with respect to the Euclidean distance or the cosine similarity has been extensively studied in literature. However, a closely related problem of efficiently…

计算几何 · 计算机科学 2021-06-24 Parikshit Ram , Alexander G. Gray

In the particular case we have insertions/deletions at the tail of a given set S of $n$ one-dimensional elements, we present a simpler and more concrete algorithm than that presented in [Anderson, 2007] achieving the same (but also…

数据结构与算法 · 计算机科学 2008-12-18 Spyros Sioutas

We present new practical local differentially private heavy hitters algorithms achieving optimal or near-optimal worst-case error and running time -- TreeHist and Bitstogram. In both algorithms, server running time is $\tilde O(n)$ and user…

数据结构与算法 · 计算机科学 2017-07-18 Raef Bassily , Kobbi Nissim , Uri Stemmer , Abhradeep Thakurta

Previous research on SDN traffic engineering mostly focuses on static traffic, whereas dynamic traffic, though more practical, has drawn much less attention. Especially, online SDN multicast that supports IETF dynamic group membership…

网络与互联网体系结构 · 计算机科学 2025-10-23 Sheng-Hao Chiang , Jian-Jhih Kuo , Shan-Hsiang Shen , De-Nian Yang , Wen-Tsuen Chen

This paper investigates the optimal signal detection problem with a particular interest in large-scale multiple-input multiple-output (MIMO) systems. The problem is NP-hard and can be solved optimally by searching the shortest path on the…

机器学习 · 计算机科学 2022-03-22 Le He , Ke He , Lisheng Fan , Xianfu Lei , Arumugam Nallanathan , George K. Karagiannidis