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This paper introduces the concept of abstracted model reduction: a framework to improve the tractability of structure-preserving methods for the complexity reduction of interconnected system models. To effectively reduce high-order,…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Luuk Poort , Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

ESBMC implements many state-of-the-art techniques for model checking. We report on new and improved features that allow us to obtain verification results for previously unsupported programs and properties. ESBMC employs a new static…

Dynamic program slicing can significantly reduce the code developers need to inspect by narrowing it down to only a subset of relevant program statements. However, despite an extensive body of research showing its usefulness, dynamic…

Software Engineering · Computer Science 2022-01-04 Bogdan Alexandru Stoica , Swarup K. Sahoo , James R. Larus , Vikram S. Adve

Inference scaling methods for LLMs often rely on decomposing problems into steps (or groups of tokens), followed by sampling and selecting the best next steps. However, these steps and their sizes are often predetermined or manually…

The verification of linearizability -- a key correctness criterion for concurrent objects -- is based on trace refinement whose checking is PSPACE-complete. This paper suggests to use \emph{branching} bisimulation instead. Our approach is…

Programming Languages · Computer Science 2024-01-03 Xiaoxiao Yang , Joost-Pieter Katoen , Hao Wu

Though ubiquitous as first-principles models for conservative phenomena, Hamiltonian systems present numerous challenges for model reduction even in relatively simple, linear cases. Here, we present a method for the projection-based model…

Numerical Analysis · Mathematics 2024-07-12 Anthony Gruber , Irina Tezaur

In this paper we study the problem of dynamically maintaining graph properties under batches of edge insertions and deletions in the massively parallel model of computation. In this setting, the graph is stored on a number of machines, each…

Data Structures and Algorithms · Computer Science 2019-08-07 David Durfee , Laxman Dhulipala , Janardhan Kulkarni , Richard Peng , Saurabh Sawlani , Xiaorui Sun

In this paper, a practicable simulation-free model order reduction method by nonlinear moment matching is developed. Based on the steady-state interpretation of linear moment matching, we comprehensively explain the extension of this…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Maria Cruz Varona , Raphael Gebhart , Julian Suk , Boris Lohmann

Finite-dimensional dissipative dynamical systems with multiple time-scales are obtained when modeling chemical reaction kinetics with ordinary differential equations. Such stiff systems are computationally hard to solve and therefore,…

Optimization and Control · Mathematics 2019-07-03 Marcus Heitel , Robin Verschueren , Moritz Diehl , Dirk Lebiedz

Time-delay systems are an important class of dynamical systems which provide a solid mathematical framework to deal with many application domains of interest ranging from biology, chemical, electrical, and mechanical engineering, to…

Dynamical Systems · Mathematics 2009-03-28 Giordano Pola , Pierdomenico Pepe , Maria D. Di Benedetto , Paulo Tabuada

We propose a memory-model-aware static program analysis method for accurately analyzing the behavior of concurrent software running on processors with weak consistency models such as x86-TSO, SPARC-PSO, and SPARC-RMO. At the center of our…

Programming Languages · Computer Science 2017-09-29 Markus Kusano , Chao Wang

Auto-active program verification rests on the ability to effectively the translation from annotated programs into verification conditions that are then discharged by automated theorem provers in the background. Characteristic such tools,…

Logic in Computer Science · Computer Science 2026-02-12 Gidon Ernst

This work provides a Deep Reinforcement Learning approach to solving a periodic review inventory control system with stochastic vendor lead times, lost sales, correlated demand, and price matching. While this dynamic program has…

Machine Learning · Computer Science 2022-11-30 Dhruv Madeka , Kari Torkkola , Carson Eisenach , Anna Luo , Dean P. Foster , Sham M. Kakade

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex…

Quantitative Methods · Quantitative Biology 2020-08-13 Mark Blyth , Ludovic Renson , Lucia Marucci

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco

State-space reduction techniques, used primarily in model-checkers, all rely on the idea that some actions are independent, hence could be taken in any (respective) order while put in parallel, without changing the semantics. It is thus not…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-03 Lisbeth Fajstrup , Eric Goubault , Emmanuel Haucourt , Samuel Mimram , Martin Raussen

Most of the real-time implementations of the stabilizing optimal control actions suffer from the necessity to provide high computational effort. This paper presents a cutting-edge approach for real-time evaluation of linear-quadratic model…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Kristína Fedorová , Yuning Jiang , Juraj Oravec , Colin N. Jones , Michal Kvasnica

Model-based mutation testing uses altered test models to derive test cases that are able to reveal whether a modelled fault has been implemented. This requires conformance checking between the original and the mutated model. This paper…

Software Engineering · Computer Science 2012-02-29 Bernhard K. Aichernig , Elisabeth Jöbstl

Many embedded and real-time systems have a inherent probabilistic behaviour (sensors data, unreliable hardware,...). In that context, it is crucial to evaluate system properties such as "the probability that a particular hardware fails".…

Software Engineering · Computer Science 2015-09-22 Van Chan Ngo , Axel Legay , Jean Quilbeuf