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In this paper, a new implicit-explicit local method with an arbitrary order is produced for stiff initial value problems. Here, a general method for one-step time integrations has been created, considering a direction free approach for…

Numerical Analysis · Mathematics 2021-04-14 Huseyin Tunc , Murat Sari

We address the design and synthesis of optimal control strategies for high-dimensional stochastic dynamical systems. Such systems may be deterministic nonlinear systems evolving from random initial states, or systems driven by random…

Numerical Analysis · Mathematics 2020-08-26 Panos Lambrianides , Qi Gong , Daniele Venturi

Cooperative geolocation has attracted significant research interests in recent years. A large number of localization algorithms rely on the availability of statistical knowledge of measurement errors, which is often difficult to obtain in…

Applications · Statistics 2017-01-05 Xiufang Shi , Guoqiang Mao , Brian. D. O. Anderson , Zaiyue Yang , Jiming Chen

We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.

Mathematical Physics · Physics 2017-08-23 Michael Aizenman , Simone Warzel

This paper addresses active state estimation with a team of robotic sensors. The states to be estimated are represented by spatially distributed, uncorrelated, stationary vectors. Given a prior belief on the geographic locations of the…

Robotics · Computer Science 2018-01-16 Charles Freundlich , Yan Zhang , Michael M. Zavlanos

This paper introduces new techniques for using convex optimization to fit input-output data to a class of stable nonlinear dynamical models. We present an algorithm that guarantees consistent estimates of models in this class when a small…

Optimization and Control · Mathematics 2013-03-19 Mark M. Tobenkin , Ian R. Manchester , Alexandre Megretski

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

Statistics Theory · Mathematics 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

Collaborative robots (cobots) are machines designed to work safely alongside people in human-centric environments. Providing cobots with the ability to quickly infer the inertial parameters of manipulated objects will improve their…

Robotics · Computer Science 2023-07-07 Philippe Nadeau , Matthew Giamou , Jonathan Kelly

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

Physics and Society · Physics 2018-05-15 Filippo Radicchi , Claudio Castellano

The data-driven recovery of the unknown governing equations of dynamical systems has recently received an increasing interest. However, the identification of governing equations remains challenging when dealing with noisy and partial…

Machine Learning · Computer Science 2021-02-17 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

We say that a quantum spin system is dynamically localized if the time-evolution of local observables satisfies a zero-velocity Lieb-Robinson bound. In terms of this definition we have the following main results: First, for general systems…

Mathematical Physics · Physics 2012-09-28 Eman Hamza , Robert Sims , Günter Stolz

In this paper we propose a new method to detect and classify coexisting solutions in nonlinear systems. We focus on mechanical and structural systems where we usually avoid multistability for safety and reliability. We want to be sure that…

Adaptation and Self-Organizing Systems · Physics 2016-02-12 P. Brzeski , M. Lazarek , T. Kapitaniak , J. Kurths , P. Perlikowski

We investigate the optimal tradeoff between information gained about an unknown coherent state and the state disturbance caused by the measurement process. We propose several optical schemes that can enable this task, and we implement one…

Quantum Physics · Physics 2009-11-11 Ulrik L. Andersen , Metin Sabuncu , Radim Filip , Gerd Leuchs

This paper introduces a novel approach to solve the coverage optimization problem in multi-agent systems. The proposed technique offers an optimal solution with a lower cost with respect to conventional Voronoi-based techniques by…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Mohammadhasan Faghihi , Meysam Yadegar , Mohammadhosein Bakhtiaridoust , Nader Meskin , Javad Sharifi , Peng Shi

We propose a novel method to reliably estimate the pose of a camera given a sequence of images acquired in extreme environments such as deep seas or extraterrestrial terrains. Data acquired under these challenging conditions are corrupted…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Yang Zheng , Tolga Birdal , Fei Xia , Yanchao Yang , Yueqi Duan , Leonidas J. Guibas

Locating a target is key in many applications, namely in high-stakes real-world scenarios, like detecting humans or obstacles in vehicular networks. In scenarios where precise statistics of the measurement noise are unavailable,…

Optimization and Control · Mathematics 2022-08-17 João Domingos , Cláudia Soares , João Xavier

This paper introduces an approach that enhances the state estimator for high-speed autonomous race cars, addressing challenges from unreliable measurements, localization failures, and computing resource management. The proposed robust…

Robotics · Computer Science 2024-02-14 Daegyu Lee , Hyunwoo Nam , Chanhoe Ryu , Sungwon Nah , Seongwoo Moon , D. Hyunchul Shim
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