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The optimal visiting problem is the optimization of a trajectory that has to touch or pass as close as possible to a collection of target points. The problem does not verify the dynamic programming principle, and it needs a specific…

Optimization and Control · Mathematics 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

We propose a solution of the multiple target tracking (MTT) problem based on sets of trajectories and the random finite set framework. A full Bayesian approach to MTT should characterise the distribution of the trajectories given the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Ángel F. García-Fernández , Lennart Svensson , Mark R. Morelande

In this work we extend the concept of out/in-branchings spanning the vertices of a digraph (also called directed spanning trees) to temporal graphs, which are digraphs where arcs are available only at prescribed times. While the literature…

Data Structures and Algorithms · Computer Science 2023-12-19 Daniela Bubboloni , Costanza Catalano , Andrea Marino , Ana Silva

We consider the problem of partial order production: arrange the elements of an unknown totally ordered set T into a target partially ordered set S, by comparing a minimum number of pairs in T. Special cases include sorting by comparisons,…

Data Structures and Algorithms · Computer Science 2010-05-06 Jean Cardinal , Samuel Fiorini , Gwenaël Joret , Raphaël M. Jungers , J. Ian Munro

We present methods for repairing traces against specifications given as temporal behavior trees (TBT). TBT are a specification formalism for action sequences in robotics and cyber-physical systems, where specifications of sub-behaviors,…

Logic in Computer Science · Computer Science 2026-04-21 Sebastian Schirmer , Philipp Schitz , Johann C. Dauer , Bernd Finkbeiner , Sriram Sankaranarayanan

Front-running attacks, which benefit from advanced knowledge of pending transactions, have proliferated in the blockchain space since the emergence of decentralized finance. Front-running causes devastating losses to honest participants and…

Cryptography and Security · Computer Science 2023-09-06 Haoqian Zhang , Louis-Henri Merino , Ziyan Qu , Mahsa Bastankhah , Vero Estrada-Galinanes , Bryan Ford

We consider the problem of optimally executing an order involving multiple crypto-assets, sometimes called tokens, on a network of multiple constant function market makers (CFMMs). When we ignore the fixed cost associated with executing an…

Optimization and Control · Mathematics 2022-04-12 Guillermo Angeris , Tarun Chitra , Alex Evans , Stephen Boyd

Stick graphs are intersection graphs of horizontal and vertical line segments that all touch a line of slope -1 and lie above this line. De Luca et al. [GD'18] considered the recognition problem of stick graphs when no order is given…

Computational Geometry · Computer Science 2020-06-23 Steven Chaplick , Philipp Kindermann , Andre Löffler , Florian Thiele , Alexander Wolff , Alexander Zaft , Johannes Zink

Let F be a set of ordered patterns, i.e., graphs whose vertices are linearly ordered. An F-free ordering of the vertices of a graph H is a linear ordering of V(H) such that none of patterns in F occurs as an induced ordered subgraph. We…

Discrete Mathematics · Computer Science 2014-08-08 Pavol Hell , Bojan Mohar , Arash Rafiey

This paper studies the optimality and complexity of Follow-the-Perturbed-Leader (FTPL) policy in $m$-set semi-bandit problems. FTPL has been studied extensively as a promising candidate of an efficient algorithm with favorable regret for…

Machine Learning · Computer Science 2026-03-13 Botao Chen , Jongyeong Lee , Chansoo Kim , Junya Honda

We study graph ordering problems with a min-max objective. A classical problem of this type is cutwidth, where given a graph we want to order its vertices such that the number of edges crossing any point is minimized. We give a $…

Data Structures and Algorithms · Computer Science 2024-04-15 Nikhil Bansal , Dor Katzelnick , Roy Schwartz

The inverse reflector problem aims to design a freeform reflecting surface that can direct the light from a specified source to produce the desired illumination in the target area, which is significant in the field of geometrical…

Numerical Analysis · Mathematics 2025-03-28 Gang Bao , Yixuan Zhang

Deep learning-based methods monopolize the latest research in the field of thermal infrared (TIR) object tracking. However, relying solely on deep learning models to obtain better tracking results requires carefully selecting feature…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Peng Gao , Shi-Min Li , Feng Gao , Fei Wang , Ru-Yue Yuan , Hamido Fujita

Given a set $\cal P$ of points in the Euclidean plane and two triangulations of $\cal P$, the flip distance between these two triangulations is the minimum number of flips required to transform one triangulation into the other.…

Data Structures and Algorithms · Computer Science 2019-10-15 Qilong Feng , Shaohua Li , Xiangzhong Meng , Jianxin Wang

This work proposes an extension to the leader-first follower (LFF) class of graphs used to solve the bearing-only formation control problem over directed graphs. The first contribution provides an equilibrium, stability, and convergence…

Optimization and Control · Mathematics 2025-11-05 Jiacheng Shi , Daniel Zelazo

The linear bandit problem has been studied for many years in both stochastic and adversarial settings. Designing an algorithm that can optimize the environment without knowing the loss type attracts lots of interest. \citet{LeeLWZ021}…

Machine Learning · Computer Science 2023-07-19 Fang Kong , Canzhe Zhao , Shuai Li

Let $P$ be a set of $n$ labeled points in the plane. The radial system of $P$ describes, for each $p\in P$, the order in which a ray that rotates around $p$ encounters the points in $P \setminus \{p\}$. This notion is related to the order…

Computational Geometry · Computer Science 2017-09-18 Oswin Aichholzer , Vincent Kusters , Wolfgang Mulzer , Alexander Pilz , Manuel Wettstein

We prove that the exact crossing number of a graph can be efficiently computed for simple graphs having bounded vertex cover. In more precise words, Crossing Number is in FPT when parameterized by the vertex cover size. This is a notable…

Discrete Mathematics · Computer Science 2019-09-06 Petr Hliněný , Abhisekh Sankaran

In prioritized planning for vehicles, vehicles plan trajectories in parallel or in sequence. Parallel prioritized planning offers approximately consistent computation time regardless of the number of vehicles but struggles to guarantee…

Robotics · Computer Science 2024-09-10 Jianye Xu , Patrick Scheffe , Bassam Alrifaee

In multirotor systems, guaranteeing safety while considering unknown disturbances is essential for robust trajectory planning. The Forward reachable set (FRS), the set of feasible states subject to bounded disturbances, can be utilized to…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Juyeop Han , Han-Lim Choi