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We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

Circuit routing has been a historically challenging problem in designing electronic systems such as very large-scale integration (VLSI) and printed circuit boards (PCBs). The main challenge is that connecting a large number of electronic…

Artificial Intelligence · Computer Science 2021-10-11 Shiyu Huang , Bin Wang , Dong Li , Jianye Hao , Ting Chen , Jun Zhu

Traditional vehicle routing algorithms do not consider the changing nature of traffic. While implementations of Dijkstra's algorithm with varying weights exist, the weights are often changed after the outcome of algorithm is executed, which…

Optimization and Control · Mathematics 2022-05-31 Piyush Udhan , Akhilesh Ganeshkar , Poobigan Murugesan , Abhishek Raj Permani , Sameep Sanjeeva , Parth Deshpande

Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

Data Structures and Algorithms · Computer Science 2023-03-17 Shanshan Wang , Chenglong Xiao

We present a new fast all-pairs shortest path algorithm for unweighted graphs. In breadth-first search which is said to representative and fast in unweighted graphs, the average number of accesses to adjacent vertices (expressed by…

Data Structures and Algorithms · Computer Science 2019-08-20 Yasuo Yamane , Kenichi Kobayashi

The interconnection network is a key element in High-Performance Computing (HPC) and Datacenter (DC) systems whose performance depends on several design parameters, such as the topology, the switch architecture, and the routing algorithm.…

Networking and Internet Architecture · Computer Science 2025-02-04 Jose Rocher-Gonzalez , Jesus Escudero-Sahuquillo , Pedro J. Garcia , Francisco J. Quiles , Gaspar Mora

Despite technological advancements, the significance of interdisciplinary subjects like complex networks has grown. Exploring communication within these networks is crucial, with traffic becoming a key concern due to the expanding…

Networking and Internet Architecture · Computer Science 2024-01-02 Seyed Hassan Yajadda , Farshad Safaei

Tensor network contraction is central to problems ranging from many-body physics to computer science. We describe how to approximate tensor network contraction through bond compression on arbitrary graphs. In particular, we introduce a…

Quantum Physics · Physics 2024-01-30 Johnnie Gray , Garnet Kin-Lic Chan

This paper presents new parallel algorithms for generating Euclidean minimum spanning trees and spatial clustering hierarchies (known as HDBSCAN$^*$). Our approach is based on generating a well-separated pair decomposition followed by using…

Data Structures and Algorithms · Computer Science 2021-04-05 Yiqiu Wang , Shangdi Yu , Yan Gu , Julian Shun

The shortest path problem is among the most fundamental combinatorial optimization problems to answer reachability queries. It is hard to deter-mine which vertices or edges are visited during shortest path traversals. In this paper, we…

Social and Information Networks · Computer Science 2014-12-30 Waqas Nawaz , Kifayat Ullah Khan , Young-Koo Lee

This paper describes the shortest path problem in weighted graphs and examines the differences in efficiency that occur when using Dijkstra's algorithm with a Fibonacci heap, binary heap, and self-balancing binary tree. Using C++…

Data Structures and Algorithms · Computer Science 2023-03-22 Rhyd Lewis

This paper presents a hierarchical low-rank decomposition algorithm assuming any matrix element can be computed in $O(1)$ time. The proposed algorithm computes rank-revealing decompositions of sub-matrices with a blocked adaptive cross…

Numerical Analysis · Mathematics 2019-09-06 Yang Liu , Wissam Sid-Lakhdar , Elizaveta Rebrova , Pieter Ghysels , Xiaoye Sherry Li

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

We parallelize several previously proposed algorithms for the minimum routing cost spanning tree problem and some related problems.

Data Structures and Algorithms · Computer Science 2007-07-04 Ching-Lueh Chang , Yuh-Dauh Lyuu

Autonomous agents face the challenge of coordinating multiple tasks (perception, motion planning, controller) which are computationally expensive on a single onboard computer. To utilize the onboard processing capacity optimally, it is…

Robotics · Computer Science 2023-05-09 Aditya Shirwatkar , Aman Singh , Jana Ravi Kiran

Priority queues are fundamental abstract data structures, often used to manage limited resources in parallel programming. Several proposed parallel priority queue implementations are based on skiplists, harnessing the potential for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-06 Irina Calciu , Hammurabi Mendes , Maurice Herlihy

We consider the problem of computing a lightest derivation of a global structure using a set of weighted rules. A large variety of inference problems in AI can be formulated in this framework. We generalize A* search and heuristics derived…

Artificial Intelligence · Computer Science 2011-10-12 P. F. Felzenszwalb , D. McAllester

We introduce a heuristic scheduling algorithm for real-time adaptive traffic signal control to reduce traffic congestion. This algorithm adopts a lane-based model that estimates the arrival time of all vehicles approaching an intersection…

Artificial Intelligence · Computer Science 2022-10-18 Hsu-Chieh Hu , Joseph Zhou , Gregory J. Barlow , Stephen F. Smith

We present a novel clustering approach for moving object trajectories that are constrained by an underlying road network. The approach builds a similarity graph based on these trajectories then uses modularity-optimization hiearchical graph…

Machine Learning · Statistics 2012-10-08 Mohamed Khalil El Mahrsi , Fabrice Rossi

We study a class of aggregate-join queries with multiple aggregation operators evaluated over annotated relations. We show that straightforward extensions of standard multiway join algorithms and generalized hypertree decompositions (GHDs)…

Databases · Computer Science 2015-12-11 Manas Joglekar , Rohan Puttagunta , Christopher Ré
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