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This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for various combinatorial optimization problems. To analyze local…

Data Structures and Algorithms · Computer Science 2020-06-03 Kaito Fujii

Boolean programs with multiple recursive threads can be captured as pushdown automata with multiple stacks. This model is Turing complete, and hence, one is often interested in analyzing a restricted class that still captures useful…

Formal Languages and Automata Theory · Computer Science 2020-05-06 S. Akshay , Paul Gastin , S Krishna , Sparsa Roychowdhury

The maximization of reach-avoid probabilities for stochastic systems is a central topic in the control literature. Yet, the available methods are either restricted to low-dimensional systems or suffer from conservative approximations. To…

Optimization and Control · Mathematics 2026-01-26 Niklas Schmid , Jaeyoun Choi , Oswin So , Chuchu Fan

This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network controllers. Given a neural network, we use an existing…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Saber Jafarpour , Akash Harapanahalli , Samuel Coogan

This paper introduces two mechanisms for computing over-approximations of sets of reachable states, with the aim of ensuring termination of state-space exploration. The first mechanism consists in over-approximating the automata…

Formal Languages and Automata Theory · Computer Science 2013-11-27 Alois Dreyfus , Pierre-Cyrille Heam , Olga Kouchnarenko

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

We present a fully automatic algorithm for verifying safety properties of parameterized software systems. This algorithm is based on both IC3 and Lazy Annotation. We implemented it in Cubicle, a model checker for verifying safety properties…

Logic in Computer Science · Computer Science 2018-11-21 Sylvain Conchon , Amit Goel , Sava Krstic , Rupak Majumdar , Mattias Roux

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

Machine Learning · Computer Science 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

In the era of increasingly complex AI models for time series forecasting, progress is often measured by marginal improvements on benchmark leaderboards. However, this approach suffers from a fundamental flaw: standard evaluation metrics…

Machine Learning · Computer Science 2026-05-28 Wanjin Feng , Yuan Yuan , Jingtao Ding , Yong Li

Robust iterative methods for solving large sparse systems of linear algebraic equations often suffer from the problem of optimizing the corresponding tuning parameters. To improve the performance of the problem of interest, specific…

Numerical Analysis · Mathematics 2023-10-18 Andrey Petrushov , Boris Krasnopolsky

Performance tuning of Database Management Systems(DBMS) is both complex and challenging as it involves identifying and altering several key performance tuning parameters. The quality of tuning and the extent of performance enhancement…

Databases · Computer Science 2010-05-07 S. F. Rodd , U. P. Kulkarni

In this work, we present a numerical optimal control framework for reachable set computation using \emph{normotopes}, a new set representation as a norm ball with a shaping matrix. In reachable set computations, we expect to continuously…

Optimization and Control · Mathematics 2025-09-30 Akash Harapanahalli , Samuel Coogan

Software verification is a complex problem, and verification tools need significant tuning to achieve high performance. Due to this, many verifiers choose to specialize on reachability properties, or invest the time to implement known…

Programming Languages · Computer Science 2025-01-28 Dirk Beyer , Marek Jankola , Marian Lingsch-Rosenfeld , Tian Xia , Xiyue Zheng

Our research aims to propose a new performance-explainability analytical framework to assess and benchmark machine learning methods. The framework details a set of characteristics that systematize the performance-explainability assessment…

Machine Learning · Computer Science 2021-11-22 Kevin Fauvel , Véronique Masson , Élisa Fromont

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

Machine-learned systems are in widespread use for making decisions about humans, and it is important that they are fair, i.e., not biased against individuals based on sensitive attributes. We present a general framework of runtime…

Machine Learning · Computer Science 2025-07-08 Thomas A. Henzinger , Mahyar Karimi , Konstantin Kueffner , Kaushik Mallik

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

Machine Learning · Statistics 2022-06-16 Daniel Ting
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