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A second-order random walk on a graph or network is a random walk where transition probabilities depend not only on the present node but also on the previous one. A notable example is the non-backtracking random walk, where the walker is…

Probability · Mathematics 2021-12-28 Dario Fasino , Arianna Tonetto , Francesco Tudisco

In this paper an artificial delay based impedance controller is proposed for robotic manipulators with uncertainty in dynamics. The control law unites the time delayed estimation (TDE) framework with a second order switching controller of…

Robotics · Computer Science 2022-08-23 Udayan Banerjee , Bhabani Shankar Dey , Indra Narayan Kar , Subir Kumar Saha

Pedestrian trajectory prediction is a critical to avoid autonomous driving collision. But this prediction is a challenging problem due to social forces and cluttered scenes. Such human-human and human-space interactions lead to many…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Xiong Dan

Precise positioning and fast traversal times are crucial in achieving high productivity and scale in machining. This paper compares two optimization-based predictive control approaches that achieve high performance. In the first approach,…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Alexander Liniger , Luca Varano , Alisa Rupenyan , John Lygeros

In this work, we introduce bidirectional collision detection --- a new algorithmic tool that applies to the collision problems that arise in many isomorphism problems. For the group isomorphism problem, we show that bidirectional collision…

Data Structures and Algorithms · Computer Science 2013-05-17 David J. Rosenbaum

A stochastic second-order trust region method is proposed, which can be viewed as a second-order extension of the trust-region-ish (TRish) algorithm proposed by Curtis et al. (INFORMS J. Optim. 1(3) 200-220, 2019). In each iteration, a…

Optimization and Control · Mathematics 2019-11-19 Frank E. Curtis , Rui Shi

The Tribomechadynamics Research Challenge (TRC) was a blind prediction of the vibration behavior of a thin plate clamped on two sides using bolted joints. The first bending mode's natural frequency and damping ratio were requested as…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Arati Bhattu , Svenja Hermann , Nidhal Jamia , Florian Müller , Maren Scheel , Christoph Schwingshackl , H. Nevzat Özgüven , Malte Krack

The turning movement count data is crucial for traffic signal design, intersection geometry planning, traffic flow, and congestion analysis. This work proposes three methods called dynamic, static, and hybrid configuration for TMC-based…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Mohammad Shokrolah Shirazi , Hung-Fu Chang

A new, second-order solution in curvilinear coordinates is introduced for the relative motion of two spacecraft on eccentric orbits. The second-order equations for unperturbed orbits are derived in spherical coordinates with true anomaly as…

Dynamical Systems · Mathematics 2019-09-06 Matthew Willis , Kyle T. Alfriend , Simone D'Amico

Nonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability…

Pattern Formation and Solitons · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

A time-domain test for the assumption of second order stationarity of a functional time series is proposed. The test is based on combining individual cumulative sum tests which are designed to be sensitive to changes in the mean, variance…

Statistics Theory · Mathematics 2018-08-14 Axel Bücher , Holger Dette , Florian Heinrichs

We present a novel second-order trajectory optimization algorithm based on Stein Variational Newton's Method and Maximum Entropy Differential Dynamic Programming. The proposed algorithm, called Stein Variational Differential Dynamic…

Optimization and Control · Mathematics 2024-10-10 Yuichiro Aoyama , Peter Lehmamnn , Evangelos A. Theodorou

In this work, we propose a region-based self-triggered control (STC) scheme for nonlinear systems. The state space is partitioned into a finite number of regions, each of which is associated to a uniform inter-event time. The controller, at…

Systems and Control · Computer Science 2022-06-09 Giannis Delimpaltadakis , Manuel Mazo

We compute the hydrodynamic relaxation times $\tau_\pi$ and $\tau_j$ for hot QCD at next-to-leading order in the coupling with kinetic theory. We show that certain dimensionless ratios of second-order to first-order transport coefficients…

High Energy Physics - Phenomenology · Physics 2018-08-02 Jacopo Ghiglieri , Guy D. Moore , Derek Teaney

Micro-mobility transport vehicles such as e-scooters are joining current sidewalk users and affect the safety and comfort of pedestrians as primary sidewalk users. The lack of agreed-upon metrics to quantify people's discomfort hinders…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Alireza Jafari , Yen-Chen Liu

Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of…

Second-order optimization methods exhibit fast convergence to critical points, however, in nonconvex optimization, these methods often require restrictive step-sizes to ensure a monotonically decreasing objective function. In the presence…

Optimization and Control · Mathematics 2024-10-11 Aayushya Agarwal , Larry Pileggi , Ronald Rohrer

Off-policy learning ability is an important feature of reinforcement learning (RL) for practical applications. However, even one of the most elementary RL algorithms, temporal-difference (TD) learning, is known to suffer form divergence…

Machine Learning · Computer Science 2025-04-21 Han-Dong Lim , Donghwan Lee

Traditional visual-inertial state estimation targets absolute camera poses and spatial landmark locations while first-order kinematics are typically resolved as an implicitly estimated sub-state. However, this poses a risk in velocity-based…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Wanting Xu , Xin Peng , Laurent Kneip

This paper presents a library of second-order models for synchronous machines that can be utilized in power system dynamic performance analysis and control design tasks. The models have a similar structure to the classical model in that…

Systems and Control · Computer Science 2019-09-20 Olaoluwapo Ajala , Alejandro Dominguez-garcia , Peter Sauer , Daniel Liberzon
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