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Optimal Learning Machines (OLM) are systems that extract maximally informative representation of the environment they are in contact with, or of the data they are presented. It has recently been suggested that these systems are…

Data Analysis, Statistics and Probability · Physics 2020-01-29 Matteo Marsili

Machine learning (ML) has emerged as a powerful tool for tackling complex regression and classification tasks, yet its success often hinges on the quality of training data. This study introduces an ML paradigm inspired by domain knowledge…

Machine Learning · Computer Science 2025-01-10 Mohsen Rashki

Extracting spatial-temporal knowledge from data is useful in many applications. It is important that the obtained knowledge is human-interpretable and amenable to formal analysis. In this paper, we propose a method that trains neural…

Artificial Intelligence · Computer Science 2022-01-10 Nasim Baharisangari , Kazuma Hirota , Ruixuan Yan , Agung Julius , Zhe Xu

This paper tackles the problem of integrated task and kinodynamic motion planning in uncertain environments. We consider a robot with nonlinear dynamics tasked with a Linear Temporal Logic over finite traces ($\ltlf$) specification…

Robotics · Computer Science 2026-04-02 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

This paper presents a method for modeling biological systems which combines formal techniques on intervals, numerical simulations and satisfaction of Signal Temporal Logic (STL) formulas. The main modeling challenge addressed by this…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Nicolas Mobilia , Alexandre Donzé , Jean Marc Moulis , Éric Fanchon

We propose a framework based on Recurrent Neural Networks (RNNs) to determine an optimal control strategy for a discrete-time system that is required to satisfy specifications given as Signal Temporal Logic (STL) formulae. RNNs can store…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Wenliang Liu , Noushin Mehdipour , Calin Belta

This paper addresses the planning and control problem for nonlinear systems under Signal Temporal Logic (STL) specifications. We first decompose an STL task into finite local tasks. A sampling-based method generates sequences of local…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zuodong Pan , Xu Fang , Wei Ren

In this paper, we propose a neuro-symbolic framework called weighted Signal Temporal Logic Neural Network (wSTL-NN) that combines the characteristics of neural networks and temporal logics. Weighted Signal Temporal Logic (wSTL) formulas are…

Machine Learning · Computer Science 2021-04-13 Ruixuan Yan , Agung Julius

Cyber-Physical Systems (CPSs), especially those involving autonomy, need guarantees of their safety. Runtime Enforcement (RE) is a lightweight method to formally ensure that some specified properties are satisfied over the executions of the…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Han Su , Saumya Shankar , Srinivas Pinisetty , Partha S. Roop , Naijun Zhan

Neural network-based policies have demonstrated success in many robotic applications, but often lack human-explanability, which poses challenges in safety-critical deployments. To address this, we propose a neuro-symbolic explanation…

Robotics · Computer Science 2026-02-26 Mikihisa Yuasa , Ramavarapu S. Sreenivas , Huy T. Tran

Formal methods provide very powerful tools and techniques for the design and analysis of complex systems. Their practical application remains however limited, due to the widely accepted belief that formal methods require extensive expertise…

Computation and Language · Computer Science 2022-03-25 Jie He , Ezio Bartocci , Dejan Ničković , Haris Isakovic , Radu Grosu

Autonomous vehicles are complex systems that are challenging to test and debug. A requirements-driven approach to the development process can decrease the resources required to design and test these systems, while simultaneously increasing…

Robotics · Computer Science 2019-08-06 Cumhur Erkan Tuncali , Georgios Fainekos , Danil Prokhorov , Hisahiro Ito , James Kapinski

Modeling dynamical biological systems is key for understanding, predicting, and controlling complex biological behaviors. Traditional methods for identifying governing equations, such as ordinary differential equations (ODEs), typically…

Molecular Networks · Quantitative Biology 2024-12-23 Hanna Krasowski , Eric Palanques-Tost , Calin Belta , Murat Arcak

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi

Ensuring safety and meeting temporal specifications are critical challenges for long-term robotic tasks. Signal temporal logic (STL) has been widely used to systematically and rigorously specify these requirements. However, traditional…

Machine Learning · Computer Science 2023-09-12 Yue Meng , Chuchu Fan

We reformulate the signal temporal logic (STL) synthesis problem as a maximum a-posteriori (MAP) inference problem. To this end, we introduce the notion of random STL~(RSTL), which extends deterministic STL with random predicates. This new…

Robotics · Computer Science 2021-05-14 Ki Myung Brian Lee , Chanyeol Yoo , Robert Fitch

We introduce a new logic called Signal Convolution Logic (SCL) that combines temporal logic with convolutional filters from digital signal processing. SCL enables to reason about the percentage of time a formula is satisfied in a bounded…

Logic in Computer Science · Computer Science 2018-09-18 Simone Silvetti , Laura Nenzi , Ezio Bartocci , Luca Bortolussi

Machine learning (ML) enables accurate and fast molecular property predictions, which are of interest in drug discovery and material design. Their success is based on the principle of similarity at its heart, assuming that similar molecules…

Computational Engineering, Finance, and Science · Computer Science 2026-01-09 Fang Wu

Predictive monitoring -- making predictions about future states and monitoring if the predicted states satisfy requirements -- offers a promising paradigm in supporting the decision making of Cyber-Physical Systems (CPS). Existing works of…

Machine Learning · Computer Science 2022-01-03 Meiyi Ma , John Stankovic , Ezio Bartocci , Lu Feng

Signal Temporal Logic (STL) is a powerful specification language for describing complex temporal behaviors of continuous signals, making it well-suited for high-level robotic task descriptions. However, generating executable plans for STL…

Robotics · Computer Science 2025-10-28 Ruijia Liu , Ancheng Hou , Xiao Yu , Xiang Yin
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