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arXiv 2025年

作者： Friedl, Katalin Nemkin, Viktória Tóbiás, András Department of Computer Science and Information Theory Budapest University of Technology and Economics Mu ̋egyetem rkp. 3. BudapestH-1111 Hungary HUN-REN Alfréd Rényi Institute of Mathematics Reáltanoda utca 13–15 BudapestH-1053 Hungary

The notion of a system of interacting trajectories was recently introduced in [13]. Such a system of [0, 1]-valued piecewise linear trajectories arises as a scaling limit of the system of logarithmic subpopulation sizes in a certain population-genetic model (more precisely, a Moran model) with mutation and selection. By definition, the resident fitness is initially 0 and afterwards it increases by the ultimate slope of each trajectory that reaches height 1. We show that although the interaction of n trajectories may yield Ω(n2) slope changes in total, the resident fitness (at all times) can be computed algorithmically in O(n) time. Our algorithm is given in terms of the so-called continued lines representation of the system of interacting trajectories. In the special case of Poissonian interacting trajectories where the birth times of the trajectories form a Poisson process and the initial slopes are random and i.i.d., we show that even the expected number of slope changes grows only linearly in *** Codes 68Q25, 68W40, 60K05, 92D15 Copyright © 2025, The Authors. All rights reserved.

关键词： Piecewise linear techniques

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On-the-fly Surrogation for Complex Nonlinear Dynamics

arXiv

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arXiv 2025年

作者： Olucha, E. Javier Singh, Rajiv Das, Amritam Tóth, Roland Control Systems Group Eindhoven University of Technology Netherlands The MathWorks Inc. Natick United States Systems and Control Laboratory HUN-REN Institute for Computer Science and Control Hungary

High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their complexity, they are not directly suitable for analysis, control design or real-time applications. Surrogate modelling techniques seek to construct simplified representations of these systems with minimal complexity, but adequate information on the dynamics given a simulation, analysis or synthesis objective at hand. Despite the widespread availability of system linearizations and the growing computational potential of autograd methods, there is no established approach that systematically exploits them to capture the underlying global nonlinear dynamics. This work proposes a novel surrogate modelling approach that can efficiently build a global representation of the dynamics on-the-fly from local system linearizations without ever explicitly computing a model. Using radial basis function interpolation and the second fundamental theorem of calculus, the surrogate model is only computed at its evaluation, enabling rapid computation for simulation and analysis and seamless incorporation of new linearization data. The efficiency and modelling capabilities of the method are demonstrated on simulation examples. © 2025, CC BY.

关键词： Differentiation (calculus)

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AROUND THE MERINO–WELSH CONJECTURE: IMPROVING JACKSON’S INEQUALITY

arXiv

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arXiv 2025年

作者： Csikvári, Péter HUN-REN Alfréd Rényi Institute of Mathematics Budapest Reáltanoda utca 13-15 H-1053 Hungary ELTE: Eötvös Loránd University Mathematics Institute Department of Computer Science Pázmány Péter sétány 1/C BudapestH-1117 Hungary

The Merino-Welsh conjecture states that for a graph G without loops and bridges we have max(TG(2, 0), TG(0, 2)) ≥ TG(1, 1). Later Jackson proved that for any matroid M without loop and coloop we have TM(3, 0)TM(0, 3) ≥ TM(1, 1)2. The value 3 in this statement was improved to 2.9242 by Beke, Csáji, Csikvári and Pituk. In this paper, we further improve on this result by showing that TM(2.355, 0)TM(0, 2.355) ≥ TM(1, 1)2. We also prove that the Merino–Welsh conjecture is true for matroids M, where all circuits of M and its dual M∗ have length between and ( − 2)4 for some ≥ 6. © 2025, CC BY.

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Generalized saturation game

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Discrete Applied Mathematics 2025年 374卷 33-49页

作者： Patkós, Balázs Stojaković, Miloš Stratijev, Jelena Vizer, Máté HUN-REN Alfréd Rényi Institute of Mathematics Reáltanoda utca 13-15 Budapest1053 Hungary Department of Mathematics and Informatics Faculty of Sciences University of Novi Sad Novi Sad21000 Serbia Department of Fundamental Sciences Faculty of Technical Sciences University of Novi Sad Novi Sad21000 Serbia Department of Computer Science and Information Theory Budapest University of Technology and Economics Budapest Hungary

We study the following game version of the generalized graph Turán problem. For two fixed graphs F and H, two players, Max and Mini, alternately claim unclaimed edges of the complete graph Kn such that the graph G of the claimed edges must remain F-free throughout the game. The game ends when no further edges can be claimed, i.e. when G becomes F-saturated. The H-score of the game is the number of copies of H in G. Max aims to maximize the H-score, while Mini wants to minimize it. The H-score of the game when both players play optimally is denoted by s1(n,#H,F) when Max starts, and by s2(n,#H,F) when Mini starts. We study these values for several natural choices of F and H. © 2025 Elsevier B.V.

关键词： Trees (mathematics)

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An Improved Lateral Vehicle control Design Using Ultra-Local Model-Based Slip Estimation 32

An Improved Lateral Vehicle Control Design Using Ultra-Local...

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32nd Mediterranean Conference on control and Automation, MED 2024

作者： Fenyes, Daniel Nemeth, Balazs Gaspar, Peter HUN-REN Institute for Computer Science and Control BudapestH-1111 Hungary

ISBN: (纸本)9798350395440

In the paper, a complex estimation and control algorithm is presented for autonomous vehicles. The algorithm has an observer layer that aims to estimate the slip of the vehicle on both the front and rear axles. The observer design is based on the combination of the Linear Parameter Varying (LPV) approach and the ultra-local model technique. The goal of the ultra-local model is to update the cornering stiffness in order for the lateral dynamics of the vehicle model to be updated. A Model Predictive control (MPC) is developed based on the updated model and the estimated slips, that can maintain the lateral stability of the vehicle even under extreme circumstances, e.g., moving on a surface with a low adhesion coefficient. This stabilization is achieved by limiting the slips of the vehicle. The proposed algorithm is tested through a complex test scenario using a high-fidelity simulation software, CarMaker. © 2024 IEEE.

关键词： Vehicles

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Identification of Tire Characteristics Using Physics-Informed Neural Network for Road Vehicles 32

Identification of Tire Characteristics Using Physics-Informe...

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32nd Mediterranean Conference on control and Automation, MED 2024

作者： Hegedus, Tamas Nemeth, Balazs Gaspar, Peter HUN-REN Institute for Computer Science and Control BudapestH-1111 Hungary

ISBN: (纸本)9798350395440

In this paper, a technique is presented for estimating tire characteristics using a Physics-Informed Neural Network (PINN). By integrating physics-based information during the training process the accuracy of the network is enhanced. Utilizing a probabilistic approach, not only individual parameters are identified but also a confidence interval is determined. Additionally, the paper outlines an iterative algorithm for the case when one of the input signals is not measurable or cannot be estimated accurately. Finally, the approach is validated through simulated and real-world test scenarios. © 2024 IEEE.

关键词： Iterative methods

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The iToBoS dataset: skin region images extracted from 3D total body photographs for lesion detection

arXiv

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arXiv 2025年

作者： Saha, Anup Adeola, Joseph Ferrera, Nuria Mothershaw, Adam Rezze, Gisele Gaborit, Séraphin D’Alessandro, Brian Hudson, James Szabó, Gyula Pataki, Balazs Rajani, Hayat Nazari, Sana Hayat, Hassan Primiero, Clare Soyer, H. Peter Malvehy, Josep Garcia, Rafael Computer Vision and Robotics Research Institute University of Girona Girona Spain Dermatology Department Hospital Clínic Barcelona Universitat de Barcelona Barcelona Spain Frazer Institute The University of Queensland Dermatology Research Center Brisbane Australia ISAHIT Paris France Canfield Scientific Inc. ParsippanyNJ United States V7 London United Kingdom HUN-REN Institute for Computer Science and Control Budapest Hungary CIBER de Enfermedades Raras Instituto de Salud Carlos III Barcelona Spain Dermatology Department Princess Alexandra Hospital BrisbaneQLD Australia Dermatology Department University of Trieste Trieste Italy

Artificial intelligence has significantly advanced skin cancer diagnosis by enabling rapid and accurate detection of malignant lesions. In this domain, most publicly available image datasets consist of single, isolated skin lesions positioned at the center of the image. While these lesion-centric datasets have been fundamental for developing diagnostic algorithms, they lack the context of the surrounding skin, which is critical for improving lesion detection. The iToBoS dataset was created to address this challenge. It includes 16,954 images of skin regions from 100 participants, captured using 3D total body photography. Each image roughly corresponds to a 7×9 cm section of skin with all suspicious lesions annotated using bounding boxes. Additionally, the dataset provides metadata such as anatomical location, age group, and sun damage score for each image. This dataset aims to facilitate training and benchmarking of algorithms, with the goal of enabling early detection of skin cancer and deployment of this technology in non-clinical environments. © 2025, CC BY-NC-SA.

关键词： Lung cancer

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A general modeling and simulation framework for dynamic vehicle routing

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EURO Journal on Transportation and Logistics 2025年 14卷

作者： Horváth, Markó Tamási, Tímea HUN-REN Institute for Computer Science and Control Kende u. 13-17 BudapestH-1111 Hungary Department of Operations Research Institute of Mathematics ELTE Eötvös Loránd University Budapest Hungary

In dynamic vehicle routing problems (DVRPs), some part of the information is revealed or changed on the fly, and the decision maker has the opportunity to re-plan the vehicle routes during their execution, reflecting on the changes. Accordingly, the solution to a DVRP is a flexible policy rather than a set of fixed routes. A policy is a problem-specific algorithm that is invoked at various decision points in the planning horizon and returns a decision according to the current state. Since DVRPs involve dynamic decision making, a simulator is an essential tool for dynamically testing and evaluating the policies. Despite this, there are few tools available that are specifically designed for this purpose. To fill this gap, we have developed a simulation framework that is suitable for a wide range of dynamic vehicle routing problems and allows to dynamically test different policies for the given problem. In this paper, we present the background of this simulation tool, for which we proposed a general modeling framework suitable for formalizing DVRPs independently of simulation purposes. Our open source simulation tool is already available, easy to use, and easily customizable, making it a useful tool for the research community. © 2025 The Authors

关键词： Discrete event simulation

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Optical flow-based vertical angular rate fault detection on UAVs

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IFAC-PapersOnLine 2024年第4期58卷 109-114页

作者： Gabor Jevuczo Peter Bauer Systems and Control Laboratory Institute for Computer Science and Control (HUN-REN SZTAKI) HUN-REN Budapest Hungary

This paper discusses optical flow-based vertical angular rate fault detection based-on real fight IMU data and camera image sequences. The fight test platform utilizes a gimbal stabilized downward looking camera that is why only the angular rate around the inertial vertical axis can be estimated. Improvements relative to the previous work of the authors are the application of forward-backward optical flow to filter outliers, the direct detection of angular rate faults without the need for Euler angles or GPS velocities and tuning and verification on real images and fight data. After presenting the optical flow equations and the method for image-based vertical angular rate estimation the fight test scenarios and video processing steps are introduced. Four different Artificial errors are added to the IMU measurements and the fault detection applies residual thresholding and up-down counters. Tuning is based on false alarm and missed detection rates and the application of receiver operating characteristics. Finally, the estimation results and possible further improvements are presented.

关键词： angular rate fault detection real fight video optical flow UAV

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From News to Summaries: Building a hungarian Corpus for Extractive and Abstractive Summarization 30

From News to Summaries: Building a Hungarian Corpus for Extr...

引用

Joint 30th International Conference on Computational Linguistics and 14th International Conference on Language Resources and Evaluation, LREC-COLING 2024

作者： Barta, Botond Lakatos, Dorina Nagy, Attila Nyist, Milán Konor Ács, Judit HUN-REN Institute for Computer Science and Control Hungary Department of Automation and Applied Informatics Budapest University of Technology and Economics Hungary

ISBN: (纸本)9782493814104

Training summarization models requires substantial amounts of training data. However for less resourceful languages like hungarian, openly available models and datasets are notably scarce. To address this gap our paper introduces hunSum-2 an open-source hungarian corpus suitable for training abstractive and extractive summarization models. The dataset is assembled from segments of the Common Crawl corpus undergoing thorough cleaning, preprocessing and deduplication. In addition to abstractive summarization we generate sentence-level labels for extractive summarization using sentence similarity. We train baseline models for both extractive and abstractive summarization using the collected dataset. To demonstrate the effectiveness of the trained models, we perform both quantitative and qualitative evaluation. Our dataset, models and code are publicly available, encouraging replication, further research, and real-world applications across various domains. © 2024 ELRA Language Resource Association: CC BY-NC 4.0.

关键词： abstractive summarization extractive summarization hungarian

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