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Computationally cheap yet accurate dynamical models are a key requirement for real-time capable nonlinear optimization and model-based control. When given a computationally expensive high-order prediction model, a reduction to a lower-order…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Jan C. Schulze , Alexander Mitsos

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

Taking partial traces for computing reduced density matrices, or related functions, is a ubiquitous procedure in the quantum mechanics of composite systems. In this article, we present a thorough description of this function and analyze the…

Quantum Physics · Physics 2016-08-25 Jonas Maziero

The detection of sequential patterns in data is a basic functionality of modern data processing systems for complex event processing (CEP), OLAP, and retrieval-augmented generation (RAG). In practice, pattern matching is challenging, since…

Databases · Computer Science 2025-11-07 Cong Yu , Tuo Shi , Matthias Weidlich , Bo Zhao

We describe an approach to modelling and reasoning about data-centric business processes and present a form of general model checking. Our technique extends existing approaches, which explore systems only from concrete initial states.…

Logic in Computer Science · Computer Science 2012-07-12 Andreas Bauer , Peter Baumgartner , Michael Norrish

Runtime Verification (RV) refers to a family of techniques in which system executions are observed and confronted to formal specifications, with the aim of identifying faults. In Offline RV, observation is done in a first step and…

Formal Languages and Automata Theory · Computer Science 2024-03-06 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Pascale Le Gall

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

Differential computation (DC) is a highly general incremental computation/view maintenance technique that can maintain the output of an arbitrary and possibly recursive dataflow computation upon changes to its base inputs. As such, it is a…

Databases · Computer Science 2022-08-02 Khaled Ammar , Siddhartha Sahu , Semih Salihoglu , M. Tamer Ozsu

Join query optimization is a complex task and is central to the performance of query processing. In fact it belongs to the class of NP-hard problems. Traditional query optimizers use dynamic programming (DP) methods combined with a set of…

Databases · Computer Science 2019-11-27 Jonas Heitz , Kurt Stockinger

This paper is dedicated to the investigation of a new numerical method to approximate the optimal stopping problem for a discrete-time continuous state space Markov chain under partial observations. It is based on a two-step discretization…

Optimization and Control · Mathematics 2016-02-16 Benoîte de Saporta , François Dufour , Christophe Nivot

We introduce an online outlier detection algorithm to detect outliers in a sequentially observed data stream. For this purpose, we use a two-stage filtering and hedging approach. In the first stage, we construct a multi-modal probability…

Machine Learning · Computer Science 2018-03-13 Mohammadreza Mohaghegh Neyshabouri , Suleyman Serdar Kozat

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski

Steering a system towards a desired target in a very short amount of time is challenging from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the physical…

Optimization and Control · Mathematics 2025-05-16 Matteo Tomasetto , Andrea Manzoni , Francesco Braghin

This paper presents a novel attention-based algorithm for achieving adaptive computation called DACT, which, unlike existing ones, is end-to-end differentiable. Our method can be used in conjunction with many networks; in particular, we…

Artificial Intelligence · Computer Science 2020-05-25 Cristobal Eyzaguirre , Alvaro Soto

We consider a higher-order Milstein scheme for stochastic partial differential equations with trace class noise which fulfill a certain commutativity condition. A novel technique to generally improve the order of convergence of Taylor…

Numerical Analysis · Mathematics 2018-08-15 Claudine Leonhard , Andreas Rößler

Distributionally robust optimal control (DROC) is gaining interest. This study presents a reformulation method for discrete DROC (DDROC) problems to design optimal control policies under a worst-case distributional uncertainty. The…

Optimization and Control · Mathematics 2025-10-22 Yuma Shida , Yuji Ito

Motivated by recent progress in data assimilation, we develop an algorithm to dynamically learn the parameters of a chaotic system from partial observations. Under reasonable assumptions, we rigorously establish the convergence of this…

Classical Analysis and ODEs · Mathematics 2021-08-20 Elizabeth Carlson , Joshua Hudson , Adam Larios , Vincent R. Martinez , Eunice Ng , Jared P. Whitehead

Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a…

Systems and Control · Computer Science 2017-01-10 David D. Fan , Evangelos A. Theodorou

Anomaly detection using a network-based approach is one of the most efficient ways to identify abnormal events such as fraud, security breaches, and system faults in a variety of applied domains. While most of the earlier works address the…

Artificial Intelligence · Computer Science 2025-01-22 Hossein Rafieizadeh , Hadi Zare , Mohsen Ghassemi Parsa , Hadi Davardoust , Meshkat Shariat Bagheri

Out-of-distribution (OOD) detection is essential for ensuring the robustness of machine learning models by identifying samples that deviate from the training distribution. While traditional OOD detection has primarily focused on…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Shawn Li , Huixian Gong , Hao Dong , Tiankai Yang , Zhengzhong Tu , Yue Zhao
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