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The problem of constrained coverage path planning involves a robot trying to cover maximum area of an environment under some constraints that appear as obstacles in the map. Out of the several coverage path planning methods, we consider…

Robotics · Computer Science 2017-08-11 Ankit Manerikar , Debasmit Das , Pranay Banerjee

Aligning sequencing reads on graph representations of genomes is an important ingredient of pan-genomics. Such approaches typically find a set of local anchors that indicate plausible matches between substrings of a read to subpaths of the…

Data Structures and Algorithms · Computer Science 2018-01-30 Anna Kuosmanen , Topi Paavilainen , Travis Gagie , Rayan Chikhi , Alexandru I. Tomescu , Veli Mäkinen

This paper studies $MPC^{5+}_v$, which is to cover as many vertices as possible in a given graph $G=(V,E)$ by vertex-disjoint $5^+$-paths (i.e., paths each with at least five vertices). $MPC^{5+}_v$ is NP-hard and admits an existing…

Data Structures and Algorithms · Computer Science 2024-08-22 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

We introduce a binary embedding framework, called Proximity Preserving Code (PPC), which learns similarity and dissimilarity between data points to create a compact and affinity-preserving binary code. This code can be used to apply fast…

Machine Learning · Computer Science 2020-02-06 Inbal Lav , Shai Avidan , Yoram Singer , Yacov Hel-Or

Profile-Guided Optimization (PGO) is an excellent means to improve the performance of a compiled program. Indeed, the execution path data it provides helps the compiler to generate better code and better cacheline packing. At the time of…

Programming Languages · Computer Science 2014-11-25 Baptiste Wicht , Roberto A. Vitillo , Dehao Chen , David Levinthal

In this paper, we consider a distributed model predictive control (MPC) algorithm for coordinated path-following. Relying on the time-critical cooperative path-following framework, which decouples space and time and reduces the coordination…

Dynamical Systems · Mathematics 2026-03-27 Lusine Poghosyan , Anna Manucharyan , Mikayel Aramyan , Naira Hovakimyan , Tigran Bakaryan

Path planning is an active area of research essential for many applications in robotics. Popular techniques include graph-based searches and sampling-based planners. These approaches are powerful but have limitations. This paper continues…

Robotics · Computer Science 2020-12-10 Marlin P. Strub , Jonathan D. Gammell

In this paper, we propose a deterministic algorithm that approximates the optimal path cover on weighted undirected graphs. Based on the 1/2-Approximation Path Cover Algorithm by Moran et al., we add a procedure to remove the redundant…

Numerical Analysis · Mathematics 2021-01-25 Junyuan Lin , Guangpeng Ren

Link failures in wide area networks are common and cause significant data losses. Mesh-based protection schemes offer high capacity efficiency but they are slow and require complex signaling. Additionally, real-time reconfigurations of…

Networking and Internet Architecture · Computer Science 2012-08-29 Serhat Nazim Avci , and Ender Ayanoglu

The paper presents a novel sample-based algorithm, called C*, for real-time coverage path planning (CPP) of unknown environments. C* is built upon the concept of a Rapidly Covering Graph (RCG), which is incrementally constructed during…

Robotics · Computer Science 2026-03-09 Zongyuan Shen , James P. Wilson , Shalabh Gupta

An important open problem in robotic planning is the autonomous generation of 3D inspection paths -- that is, planning the best path to move a robot along in order to inspect a target structure. We recently suggested a new method for…

Artificial Intelligence · Computer Science 2019-01-23 Kai Olav Ellefsen , Herman A. Lepikson , Jan C. Albiez

Modern compilers leverage block coverage profile data to carry out downstream profile-guided optimizations to improve the runtime performance and the size of a binary. Given a control-flow graph $G=(V, E)$ of a function in the binary, where…

Data Structures and Algorithms · Computer Science 2022-08-31 Li Chen , Ellis Hoag , Kyungwoo Lee , Julian Mestre , Sergey Pupyrev

In this paper, we have developed an approach to generate test data for path coverage based testing. The main challenge of this kind testing lies in its ability to build efficiently such a test suite in order to minimize the number of…

Software Engineering · Computer Science 2017-11-30 Esmaeel Nikravan , Farid Feyzi , Saeed Parsa

In recent years, advancements have been made towards the goal of using chaotic coverage path planners for autonomous search and traversal of spaces with limited environmental cues. However, the state of this field is still in its infancy as…

Covering problems belong to the foundation of graph theory. There are several types of covering problems in graph theory such as covering the vertex set by stars (domination problem), covering the vertex set by cliques (clique covering…

Combinatorics · Mathematics 2018-07-30 Paul Manuel

Given a set of points in the plane, a covering path is a polygonal path that visits all the points. In this paper we consider covering paths of the vertices of an n x m grid. We show that the minimal number of segments of such a path is…

Combinatorics · Mathematics 2013-11-05 Balázs Keszegh

Mixed integer predictive control deals with optimizing integer and real control variables over a receding horizon. The mixed integer nature of controls might be a cause of intractability for instances of larger dimensions. To tackle this…

Optimization and Control · Mathematics 2010-03-16 Dario Bauso

The interface between stochastic analysis and machine learning is a rapidly evolving field, with path signatures - iterated integrals that provide faithful, hierarchical representations of paths - offering a principled and universal feature…

Machine Learning · Statistics 2025-06-26 Csaba Tóth

This paper presents a distinctive prime detection approach. This method use GM-(n+1) sequences to effectively eliminate complex numbers. The sequences, which consist of odd a number of (n+1), exclude all components except for the initial…

General Mathematics · Mathematics 2025-03-12 Fadwa Hamdi Barakat

Path planning for 3D solid objects is a challenging problem, requiring a search in a six-dimensional configuration space, which is, nevertheless, essential in many robotic applications such as bin-picking and assembly. The commonly used…

Robotics · Computer Science 2026-01-09 Michal Minařík , Vojtěch Vonásek , Robert Pěnička