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Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

信号处理 · 电气工程与系统科学 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

Topology optimization enables the design of highly efficient and complex structures, but conventional iterative methods, such as SIMP-based approaches, often suffer from high computational costs and sensitivity to initial conditions.…

计算工程、金融与科学 · 计算机科学 2025-09-18 Aaron Lutheran , Srijan Das , Alireza Tabarraei

The continuous effort towards topological quantum devices calls for an efficient and non-invasive method to assess the conformity of components in different topological phases. Here, we show that machine learning paves the way towards…

无序系统与神经网络 · 物理学 2019-01-24 Marcello D. Caio , Marco Caccin , Paul Baireuther , Timo Hyart , Michel Fruchart

Autonomous vehicles rely on accurate trajectory prediction to inform decision-making processes related to navigation and collision avoidance. However, current trajectory prediction models show signs of overfitting, which may lead to unsafe…

机器人学 · 计算机科学 2024-04-23 Jeroen Hagenus , Frederik Baymler Mathiesen , Julian F. Schumann , Arkady Zgonnikov

To operate in open-ended environments where humans interact in complex, diverse ways, autonomous robots must learn to predict their behaviour, especially when that behavior is potentially dangerous to other agents or to the robot. However,…

机器人学 · 计算机科学 2024-07-16 Divya Thuremella , Lewis Ince , Lars Kunze

Modular robotics research has long been preoccupied with perfecting the modules themselves -- their actuation methods, connectors, controls, communication, and fabrication. This inward focus results, in part, from the complexity of the task…

机器人学 · 计算机科学 2025-08-05 Philippe Martin Wyder , Haorui Li , Andrew Bae , Henry Zhao , Mark Yim

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

混沌动力学 · 物理学 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

We present a new method for the statistical process control of lattice structures using tools from Topological Data Analysis. Motivated by applications in additive manufacturing, such as aerospace components and biomedical implants, where…

统计方法学 · 统计学 2025-10-15 Yulin An , Xueqi Zhao , Enrique del Castillo

The use of a team of humanoid robots to collaborate in completing a task is an increasingly important field of research. One of the challenges in achieving collaboration, is mutual identification and tracking of the robots. This work…

机器人学 · 计算机科学 2018-10-17 Hafez Farazi , Sven Behnke

Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structure of complex, high-dimensional data. In this paper, we…

图形学 · 计算机科学 2017-10-04 Mustafa Hajij , Bei Wang , Carlos Scheidegger , Paul Rosen

Exposing an Evolutionary Algorithm that is used to evolve robot controllers to variable conditions is necessary to obtain solutions which are robust and can cross the reality gap. However, we do not yet have methods for analyzing and…

神经与进化计算 · 计算机科学 2023-10-13 Jonata Tyska Carvalho , Stefano Nolfi

Topological data analysis uses tools from topology -- the mathematical area that studies shapes -- to create representations of data. In particular, in persistent homology, one studies one-parameter families of spaces associated with data,…

机器学习 · 计算机科学 2020-12-01 Guido Montúfar , Nina Otter , Yuguang Wang

The development of the works of the author about adaptive algorithms of teaching the robotic systems with the help of operator is described here. An operator is assumed to be an experience decision-maker and sane carrier of a target which…

机器人学 · 计算机科学 2015-09-08 Valery Vilisov

Many experiments have been performed that use evolutionary algorithms for learning the topology and connection weights of a neural network that controls a robot or virtual agent. These experiments are not only performed to better understand…

神经与进化计算 · 计算机科学 2019-05-23 Benjamin Inden , Jürgen Jost

Many works have studied the Internet topology, but few have investigated the question of how it evolves over time. This paper focuses on the Internet routing IP-level topology and proposes a first step towards realistic modeling of its…

网络与互联网体系结构 · 计算机科学 2015-03-19 Clémence Magnien , Amélie Medem , Fabien Tarissan

The agricultural domain offers a working environment where many human laborers are nowadays employed to maintain or harvest crops, with huge potential for productivity gains through the introduction of robotic automation. Detecting and…

机器人学 · 计算机科学 2021-07-09 Riccardo Polvara , Francesco Del Duchetto , Gerhard Neumann , Marc Hanheide

By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA) to qualitatively type dynamical data by approximating the…

Autonomous robots enjoy a wide popularity nowadays and have been applied in many applications, such as home security, entertainment, delivery, navigation and guidance. It is vital to robots to track objects accurately in these applications,…

计算机视觉与模式识别 · 计算机科学 2016-08-11 Mengmeng Wang , Yong Liu

Tethered robots play a pivotal role in specialized environments such as disaster response and underground exploration, where their stable power supply and reliable communication offer unparalleled advantages. However, their motion planning…

机器人学 · 计算机科学 2025-07-17 Jinyuan Liu , Minglei Fu , Ling Shi , Chenguang Yang , Wenan Zhang

Topological data analysis provides a collection of tools to encapsulate and summarize the shape of data. Currently it is mainly restricted to \emph{mapper algorithm} and \emph{persistent homology}. In this paper we introduce new…

代数拓扑 · 数学 2019-01-23 Paweł Dłotko