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Related papers: JuliaReach: a Toolbox for Set-Based Reachability

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Time-series forecasting is central to many scientific and industrial domains, such as energy systems, climate modeling, finance, and retail. While forecasting methods have evolved from classical statistical models to automated, and neural…

We present FreeBird, an extensible Julia-based platform for computational studies of phase equilibria at generic interfaces. The package supports a range of system configurations, from atomistic solid surfaces to coarse-grained…

Statistical Mechanics · Physics 2025-12-19 Ray Yang , Junchi Chen , Douglas Thibodeaux , Robert B. Wexler

This paper investigates one-step backward reachability for uncertain max-plus linear systems with additive disturbances. Given a target set, the problem is to compute the set of states from which there exists an admissible control input…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Yuda Li , Xiang Yin

Determining the reachable set for a given nonlinear system is critically important for autonomous trajectory planning for reach-avoid applications and safety critical scenarios. Providing the reachable set is generally impossible when the…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Taha Shafa , Melkior Ornik

Contact-rich robotic systems, such as legged robots and manipulators, are often represented as hybrid systems. However, the stability analysis and region-of-attraction computation for these systems are often challenging because of the…

Robotics · Computer Science 2022-02-10 Jason J. Choi , Ayush Agrawal , Koushil Sreenath , Claire J. Tomlin , Somil Bansal

Reachability analysis is a powerful tool for computing the set of states or outputs reachable for a system. While previous work has focused on systems described by state-space models, we present the first methods to compute reachable sets…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Laura Lützow , Matthias Althoff

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario…

Optimization and Control · Mathematics 2021-08-26 Taha Shafa , Melkior Ornik

Julia is a new language for writing data analysis programs that are easy to implement and run at high performance. Similarly, the Dynamic Distributed Dimensional Data Model (D4M) aims to clarify data analysis operations while retaining…

Mathematical Software · Computer Science 2016-12-13 Alexander Chen , Alan Edelman , Jeremy Kepner , Vijay Gadepally , Dylan Hutchison

We develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu

On demand of efficient reachability analysis due to the inevitable complexity of large-scale biological models, this paper is dedicated to a novel approach: PermReach, for reachability problem of our new framework, Asynchronous Binary…

Formal Languages and Automata Theory · Computer Science 2018-04-23 Xinwei Chai , Morgan Magnin , Olivier Roux

Program synthesis -- the automatic generation of code given a specification -- is one of the most fundamental tasks in artificial intelligence (AI) and the dream of many programmers. Numerous synthesizers have been developed for program…

This work presents a method of efficiently computing inner and outer approximations of forward reachable sets for nonlinear control systems with changed dynamics and diminished control authority, given an a priori computed reachable set for…

Optimization and Control · Mathematics 2022-03-22 Hamza El-Kebir , Ani Pirosmanishvili , Melkior Ornik

We present QuantumToolbox$.$jl, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of QuTiP (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast…

Quantum Physics · Physics 2025-10-06 Alberto Mercurio , Yi-Te Huang , Li-Xun Cai , Yueh-Nan Chen , Vincenzo Savona , Franco Nori

We consider estimating a compact set from finite data by approximating the support function of that set via sublinear regression. Support functions uniquely characterize a compact set up to closure of convexification, and are sublinear…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Shadi Haddad , Abhishek Halder

Despite large advances in recent years, real-time capable motion planning for autonomous road vehicles remains a huge challenge. In this work, we present a decision module that is based on set-based reachability analysis: First, we identify…

Robotics · Computer Science 2023-09-22 Niklas Kochdumper , Stanley Bak

Iterative imperative programs can be considered as infinite-state systems computing over possibly unbounded domains. Studying reachability in these systems is challenging as it requires to deal with an infinite number of states with…

Logic in Computer Science · Computer Science 2013-02-15 Arnaud Gotlieb , Tristan Denmat , Nadjib Lazaar

LeoTask is a Java library for computation-intensive and time-consuming research tasks. It automatically executes tasks in parallel on multiple CPU cores on a computing facility. It uses a configuration file to enable automatic exploration…

Software Engineering · Computer Science 2024-01-02 Changwang Zhang , Shi Zhou , Benjamin M. Chain

Geosocial reachability queries (\textsc{RangeReach}) determine whether a given vertex in a geosocial network can reach any spatial vertex within a query region. The state-of-the-art 3DReach method answers such queries by encoding graph…

Databases · Computer Science 2026-02-06 Rick van der Heijden , Nikolay Yakovets , Thekla Hamm

Connectivity across landscapes influences a wide range of conservation-relevant ecological processes, including species movements, gene flow, and the spread of wildfire, pests, and diseases. Recent improvements in remote sensing data…

Quantitative Methods · Quantitative Biology 2019-06-11 Ranjan Anantharaman , Kimberly Hall , Viral Shah , Alan Edelman

The julia package integrates the Julia programming language into Stata. Users can transfer data between Stata and Julia, issue Julia commands to analyze and plot, and pass results back to Stata. Julia's econometric ecosystem is not as…

Econometrics · Economics 2025-05-05 David Roodman
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