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A number of important transport networks, such as the airline and trade networks of the world, exhibit a characteristic core-periphery structure, wherein a few nodes are highly interconnected and the rest of the network frays into a tree.…

Physics and Society · Physics 2016-02-17 T. Verma , F. Russmann , N. A. M. Araújo , J. Nagler , H. J. Herrmann

Pruning is a compression method which aims to improve the efficiency of neural networks by reducing their number of parameters while maintaining a good performance, thus enhancing the performance-to-cost ratio in nontrivial ways. Of…

Neural and Evolutionary Computing · Computer Science 2023-09-25 Hugo Tessier , Ghouti Boukli Hacene , Vincent Gripon

A central question of evolutionary dynamics on graphs is whether or not a mutation introduced in a population of residents survives and eventually even spreads to the whole population, or gets extinct. The outcome naturally depends on the…

Populations and Evolution · Quantitative Biology 2020-08-05 Hendrik Richter

Pruning is a well-known mechanism for reducing the computational cost of deep convolutional networks. However, studies have shown the potential of pruning as a form of regularization, which reduces overfitting and improves generalization.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Artur Jordao , Helio Pedrini

In this paper, we present an on-line fully dynamic algorithm for maintaining strongly connected component of a directed graph in a shared memory architecture. The edges and vertices are added or deleted concurrently by fixed number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-11 Muktikanta Sa

We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

We present a data structure that can maintain a simple planar graph under edge contractions in linear total time. The data structure supports adjacency queries and provides access to neighbor lists in $O(1)$ time. Moreover, it can report…

Data Structures and Algorithms · Computer Science 2017-07-03 Jacob Holm , Giuseppe F. Italiano , Adam Karczmarz , Jakub Łącki , Eva Rotenberg , Piotr Sankowski

Structured pruning is a popular method for compressing a neural network: given a large trained network, one alternates between removing channel connections and fine-tuning; reducing the overall width of the network. However, the efficacy of…

Machine Learning · Statistics 2019-06-10 Elliot J. Crowley , Jack Turner , Amos Storkey , Michael O'Boyle

The vehicle routing problem has great importance and application in transportation and supply chain management. In this case, there are several supply requests in a transportation network. The main goal is to allocate customers to available…

Optimization and Control · Mathematics 2023-10-10 H. Bigdeli , S. M. S. Mirdamadi , A. Deaconu , J. Tayyebi

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

Dynamic Connectivity is a fundamental algorithmic graph problem, motivated by a wide range of applications to social and communication networks and used as a building block in various other algorithms, such as the bi-connectivity and the…

Data Structures and Algorithms · Computer Science 2021-05-19 Alexander Fedorov , Nikita Koval , Dan Alistarh

We study several problems related to graph modification problems under connectivity constraints from the perspective of parameterized complexity: {\sc (Weighted) Biconnectivity Deletion}, where we are tasked with deleting~$k$ edges while…

Data Structures and Algorithms · Computer Science 2017-04-24 Gregory Gutin , M. S. Ramanujan , Felix Reidl , Magnus Wahlström

Many large-scale optimization problems decompose into a master problem and scenario subproblems, a structure that can be exploited by Benders decomposition. In Benders decomposition, each iteration may generate many cuts from scenario…

Optimization and Control · Mathematics 2026-04-29 Tim Donkiewicz , Oliver Gaul

In the Minimum Clique Routing Problem on Cycles \textsc{MCRPC} we are given a cycle together with a set of demands (weighted origin-destination pairs) and the goal is to route all the pairs minimizing the maximum weighted clique of the…

Data Structures and Algorithms · Computer Science 2023-11-17 Mariana Escalante , Martín Matamala , Iván Rapaport , Paola Tolomei , Luis Miguel Torres

Network compression is crucial to making the deep networks to be more efficient, faster, and generalizable to low-end hardware. Current network compression methods have two open problems: first, there lacks a theoretical framework to…

Machine Learning · Computer Science 2022-06-09 Ziqi Zhou , Li Lian , Yilong Yin , Ze Wang

The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

Data Structures and Algorithms · Computer Science 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

This paper presents a novel algorithm, called MRRT, which uses multiple rapidly-exploring random trees for fast online replanning of autonomous vehicles in dynamic environments with moving obstacles. The proposed algorithm is built upon the…

Robotics · Computer Science 2021-04-23 Zongyuan Shen , James P. Wilson , Ryan Harvey , Shalabh Gupta

One of the major challenges in deploying deep neural network architectures is their size which has an adverse effect on their inference time and memory requirements. Deep CNNs can either be pruned width-wise by removing filters based on…

Computer Vision and Pattern Recognition · Computer Science 2020-10-07 Muhammad Umair Haider , Murtaza Taj

Structured pruning is an effective approach for compressing large pre-trained neural networks without significantly affecting their performance. However, most current structured pruning methods do not provide any performance guarantees, and…

Machine Learning · Computer Science 2023-02-14 Marwa El Halabi , Suraj Srinivas , Simon Lacoste-Julien

We introduce a notion for hierarchical graph clustering which we call the expander hierarchy and show a fully dynamic algorithm for maintaining such a hierarchy on a graph with $n$ vertices undergoing edge insertions and deletions using…

Data Structures and Algorithms · Computer Science 2020-07-22 Gramoz Goranci , Harald Räcke , Thatchaphol Saranurak , Zihan Tan