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Robotic inspection of radioactive areas enables operators to be removed from hazardous environments; however, planning and operating in confined, cluttered environments remain challenging. These systems must autonomously reconstruct the…

An abundance of real-world problems manifest as covering edges and/or vertices of a graph with cliques that are optimized for some objectives. We consider different structural parameters of graph, and design fixed-parameter tractable…

Data Structures and Algorithms · Computer Science 2022-08-29 Ahammed Ullah

We propose new graph representations that exploit dense local structure to improve time and space simultaneously. Given an undirected graph $G$, we define a dual clique cover (DCC) representation of $G$ to be the pair $(C, L)$, where $C$ is…

Data Structures and Algorithms · Computer Science 2026-05-01 Ahammed Ullah , Alex Pothen

Previous work has suggested that the structural restrictions of graphs from classes of bounded expansion--locally dense pockets in a globally sparse graph--naturally coincide with common properties of real-world networks such as clustering…

Data Structures and Algorithms · Computer Science 2018-04-24 Michael P. O'Brien , Blair D. Sullivan

The Minimum Path Cover problem on directed acyclic graphs (DAGs) is a classical problem that provides a clear and simple mathematical formulation for several applications in different areas and that has an efficient algorithmic solution. In…

Data Structures and Algorithms · Computer Science 2014-03-06 Niko Beerenwinkel , Stefano Beretta , Paola Bonizzoni , Riccardo Dondi , Yuri Pirola

We present the first sublinear-in-$n$ round algorithm for sampling an approximately uniform spanning tree of an $n$-vertex graph in the CongestedClique model of distributed computing. In particular, our algorithm requires…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-12 Sriram V. Pemmaraju , Sourya Roy , Joshua Z. Sobel

We propose a Path-Tracking Hybrid A* planner coupled with a hierarchical Model Predictive Control (MPC) framework for path smoothing in agricultural vehicles. The goal is to minimize deviation from reference paths during cross-furrow…

Robotics · Computer Science 2025-05-20 Mingke Lu , Han Gao , Haijie Dai , Qianli Lei , Chang Liu

We extend the behaviour of generic sample-based motion planners to support obstacle avoidance during long-range path following by introducing a new edge-cost metric paired with a curvilinear planning space. The resulting planner generates…

Robotics · Computer Science 2024-11-11 Jordy Sehn , Timothy D. Barfoot , Jack Collier

To efficiently deploy robotic systems in society, mobile robots must move autonomously and safely through complex environments. Nonlinear model predictive control (MPC) methods provide a natural way to find a dynamically feasible trajectory…

Coverage path planning (CPP) is the task of computing an optimal path within a region to completely scan or survey an area of interest using one or multiple mobile robots. Robots equipped with sensors and cameras can collect vast amounts of…

Robotics · Computer Science 2025-01-10 Jahid Chowdhury Choton , William H. Hsu

Cumulative probability models (CPMs) are a robust alternative to linear models for continuous outcomes. However, they are not feasible for very large datasets due to elevated running time and memory usage, which depend on the sample size,…

Computation · Statistics 2022-07-15 Chun Li , Guo Chen , Bryan E. Shepherd

Typical schedulers in multi-tenancy environments make use of reactive, feedback-oriented mechanisms based on performance counters to avoid resource contention but suffer from detection lag and loss of performance. In this paper, we address…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-02 Girish Mururu , Sharjeel Khan , Bodhisatwa Chatterjee , Chao Chen , Chris Porter , Ada Gavrilovska , Santosh Pande

Generalized Polynomial Chaos (gPC) expansions are well established for forward uncertainty propagation in many application areas. Although the associated computational effort may be reduced in comparison to Monte Carlo techniques, for…

Computational Engineering, Finance, and Science · Computer Science 2023-07-26 Niklas Georg , Ulrich Römer

Most software domains rely on compilers to translate high-level code to multiple different machine languages, with performance not too much worse than what developers would have the patience to write directly in assembly language. However,…

Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

Logic in Computer Science · Computer Science 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

We study the problem of sampling robot trajectories and introduce the notion of C-Uniformity. As opposed to the standard method of uniformly sampling control inputs (which lead to biased samples of the configuration space), C-Uniform…

Robotics · Computer Science 2024-09-20 O. Goktug Poyrazoglu , Yukang Cao , Volkan Isler

Let $G=(V,E)$ be an $n$-nodes non-negatively real-weighted undirected graph. In this paper we show how to enrich a {\em single-source shortest-path tree} (SPT) of $G$ with a \emph{sparse} set of \emph{auxiliary} edges selected from $E$, in…

Data Structures and Algorithms · Computer Science 2015-07-08 Annalisa D'Andrea , Mattia D'Emidio , Daniele Frigioni , Stefano Leucci , Guido Proietti

We propose a new proximal, path-following framework for a class of constrained convex problems. We consider settings where the nonlinear---and possibly non-smooth---objective part is endowed with a proximity operator, and the constraint set…

Optimization and Control · Mathematics 2016-12-28 Quoc Tran-Dinh , Anastasios Kyrillidis , Volkan Cevher

A systematic, language-independent method of finding a minimal set of paths covering the code of a sequential program is proposed for application in White Box testing. Execution of all paths from the set ensures also statement coverage.…

Software Engineering · Computer Science 2007-05-23 Hanna Makaruk , Robert Owczarek , Nikita Sakhanenko

Gaussian graphical models are useful tools for conditional independence structure inference of multivariate random variables. Unfortunately, Bayesian inference of latent graph structures is challenging due to exponential growth of…

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