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The {Congested Clique} is a distributed-computing model for single-hop networks with restricted bandwidth that has been very intensively studied recently. It models a network by an $n$-vertex graph in which any pair of vertices can…

分布式、并行与集群计算 · 计算机科学 2018-02-21 Leonid Barenboim , Victor Khazanov

The stability and ability of an ecosystem to withstand climate change is directly linked to its biodiversity. Dead trees are a key indicator of overall forest health, housing one-third of forest ecosystem biodiversity, and constitute 8%of…

计算机视觉与模式识别 · 计算机科学 2021-12-07 Jacquelyn A. Shelton , Przemyslaw Polewski , Wei Yao , Marco Heurich

We study the Equitable Connected Partition (ECP for short) problem, where we are given a graph G=(V,E) together with an integer p, and our goal is to find a partition of V into p parts such that each part induces a connected sub-graph of G…

数据结构与算法 · 计算机科学 2024-05-01 Václav Blažej , Dušan Knop , Jan Pokorný , Šimon Schierreich

We propose a principled method for autoencoding with random forests. Our strategy builds on foundational results from nonparametric statistics and spectral graph theory to learn a low-dimensional embedding of the model that optimally…

机器学习 · 统计学 2026-01-16 Binh Duc Vu , Jan Kapar , Marvin Wright , David S. Watson

Accurate estimation of plant skeletal structure (e.g., branching structure) from images is essential for smart agriculture and plant science. Unlike human skeletons with fixed topology, plant skeleton estimation presents a unique challenge,…

计算机视觉与模式识别 · 计算机科学 2024-11-26 Xinpeng Liu , Hiroaki Santo , Yosuke Toda , Fumio Okura

We study the Steiner Tree problem, in which a set of terminal vertices needs to be connected in the cheapest possible way in an edge-weighted graph. This problem has been extensively studied from the viewpoint of approximation and also…

数据结构与算法 · 计算机科学 2026-02-19 Pavel Dvořák , Andreas Emil Feldmann , Dušan Knop , Tomáš Masařík , Tomáš Toufar , Pavel Veselý

The cluster-based Mean Field method (cMF) and it's second order perturbative correction[1], was introduced by Jim\'enez-Hoyos and Scuseria to reduce the cost of modeling strongly correlated systems by dividing an active space up into small…

化学物理 · 物理学 2024-06-14 Arnab Bachhar , Nicholas J. Mayhall

The cost-distance Steiner tree problem seeks a Steiner tree that minimizes the total congestion cost plus the weighted sum of source-sink delays. This problem arises as a subroutine in timing-constrained global routing with a linear delay…

数据结构与算法 · 计算机科学 2025-03-07 Stephan Held , Edgar Perner

Given two points s and t in the plane and a set of obstacles defined by closed curves, what is the minimum number of obstacles touched by a path connecting s and t? This is a fundamental and well-studied problem arising naturally in…

计算几何 · 计算机科学 2020-12-01 Neeraj Kumar , Daniel Lokshtanov , Saket Saurabh , Subhash Suri

We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, we show how to build a Steiner forest spanner for such graphs.…

数据结构与算法 · 计算机科学 2009-11-30 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Dániel Marx

We consider a fractional 0-1 programming problem arising in manufacturing. The problem consists in clustering of machines together with parts processed on these machines into manufacturing cells so that intra-cell processing of parts is…

数据结构与算法 · 计算机科学 2016-03-16 Irina Utkina , Mikhail Batsyn , Ekaterina Batsyna

Bottleneck Steiner networks model energy consumption in wireless ad-hoc networks. The task is to design a network spanning a given set of terminals and at most $k$ Steiner points such that the length of the longest edge is minimised. The…

组合数学 · 数学 2019-07-09 M Brazil , C Ras , D Thomas , G Xu

Distributed network optimization algorithms, such as minimum spanning tree, minimum cut, and shortest path, are an active research area in distributed computing. This paper presents a fast distributed algorithm for such problems in the…

数据结构与算法 · 计算机科学 2018-05-29 Bernhard Haeupler , Jason Li , Goran Zuzic

We consider a new Steiner tree problem, called vertex-cover-weighted Steiner tree problem. This problem defines the weight of a Steiner tree as the minimum weight of vertex covers in the tree, and seeks a minimum-weight Steiner tree in a…

数据结构与算法 · 计算机科学 2018-08-08 Takuro Fukunaga , Takanori Maehara

The study of fault-tolerant data structures for various network design problems is a prominent area of research in computer science. Likewise, the study of NP-Complete problems lies at the heart of computer science with numerous results in…

数据结构与算法 · 计算机科学 2020-09-15 Pranabendu Misra

Most of existing salient object detection models have achieved great progress by aggregating multi-level features extracted from convolutional neural networks. However, because of the different receptive fields of different convolutional…

计算机视觉与模式识别 · 计算机科学 2019-11-27 Jun Wei , Shuhui Wang , Qingming Huang

Constraint satisfaction (CSP) and structure isomorphism (SI) are among the most well-studied computational problems in Computer Science. While neither problem is thought to be in $\texttt{PTIME},$ much work is done on $\texttt{PTIME}$…

计算机科学中的逻辑 · 计算机科学 2022-07-01 Adam Ó Conghaile

We study rotation-robust learning for image inputs using Convolutional Model Trees (CMTs) [1], whose split and leaf coefficients can be structured on the image grid and transformed geometrically at deployment time. In a controlled MNIST…

计算机视觉与模式识别 · 计算机科学 2026-01-09 Hongyi Li , William Ward Armstrong , Jun Xu

This paper presents a distributed algorithm in the CONGEST model that achieves a $(1+\epsilon)$-approximation for row-sparse fractional covering problems (RS-FCP) and the dual column-sparse fraction packing problems (CS-FPP). Compared with…

数据结构与算法 · 计算机科学 2024-09-25 Qian Li , Minghui Ouyang , Yuyi Wang

We study the natural problem of Triplet Reconstruction (also Rooted Triplets Consistency or Triplet Clustering), originally motivated in computational biology and relational databases (Aho, Sagiv, Szymanski, and Ullman, 1981): given $n$…

数据结构与算法 · 计算机科学 2023-04-06 Vaggos Chatziafratis , Konstantin Makarychev