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Time series classification is a task of paramount importance, as this kind of data often arises in safety-critical applications. However, it is typically tackled with black-box deep learning methods, making it hard for humans to understand…

Machine Learning · Computer Science 2025-08-28 Irene Ferfoglia , Simone Silvetti , Gaia Saveri , Laura Nenzi , Luca Bortolussi

Machine learning techniques using neural networks have achieved promising success for time-series data classification. However, the models that they produce are challenging to verify and interpret. In this paper, we propose an explainable…

Formal Languages and Automata Theory · Computer Science 2023-07-04 Danyang Li , Mingyu Cai , Cristian-Ioan Vasile , Roberto Tron

Cyber-physical system applications such as autonomous vehicles, wearable devices, and avionic systems generate a large volume of time-series data. Designers often look for tools to help classify and categorize the data. Traditional machine…

Integrating symbolic knowledge and data-driven learning algorithms is a longstanding challenge in Artificial Intelligence. Despite the recognized importance of this task, a notable gap exists due to the discreteness of symbolic…

Artificial Intelligence · Computer Science 2024-05-24 Gaia Saveri , Laura Nenzi , Luca Bortolussi , Jan Křetínský

Time-series data can represent the behaviors of autonomous systems, such as drones and self-driving cars. The task of binary and multi-class classification for time-series data has become a prominent area of research. Neural networks…

Machine Learning · Statistics 2024-06-26 Danyang Li , Roberto Tron

Continuous representations of logic formulae allow us to integrate symbolic knowledge into data-driven learning algorithms. If such embeddings are semantically consistent, i.e. if similar specifications are mapped into nearby vectors, they…

Computation and Language · Computer Science 2025-09-17 Sara Candussio , Gaia Saveri , Gabriele Sarti , Luca Bortolussi

There has been a growing interest in extracting formal descriptions of the system behaviors from data. Signal Temporal Logic (STL) is an expressive formal language used to describe spatial-temporal properties with interpretability. This…

Logic in Computer Science · Computer Science 2024-05-16 Danyang Li , Mingyu Cai , Cristian-Ioan Vasile , Roberto Tron

Most existing Time series classification (TSC) models lack interpretability and are difficult to inspect. Interpretable machine learning models can aid in discovering patterns in data as well as give easy-to-understand insights to domain…

Machine Learning · Computer Science 2022-09-20 Ruixuan Yan , Tengfei Ma , Achille Fokoue , Maria Chang , Agung Julius

Recent adaptations of Large Language Models (LLMs) for time series forecasting often fail to effectively enhance information for raw series, leaving LLM reasoning capabilities underutilized. Existing prompting strategies rely on static…

Artificial Intelligence · Computer Science 2025-12-05 Junjie Fan , Hongye Zhao , Linduo Wei , Jiayu Rao , Guijia Li , Jiaxin Yuan , Wenqi Xu , Yong Qi

The time series classification literature has expanded rapidly over the last decade, with many new classification approaches published each year. Prior research has mostly focused on improving the accuracy and efficiency of classifiers,…

Machine Learning · Computer Science 2020-06-03 Thach Le Nguyen , Severin Gsponer , Iulia Ilie , Martin O'Reilly , Georgiana Ifrim

The Internet-of-Things, complex sensor networks, multi-agent cyber-physical systems are all examples of spatially distributed systems that continuously evolve in time. Such systems generate huge amounts of spatio-temporal data, and system…

Machine Learning · Computer Science 2021-06-17 Sara Mohammadinejad , Jyotirmy V. Deshmukh , Laura Nenzi

Within the field of complicated multivariate time series forecasting (TSF), popular techniques frequently rely on intricate deep learning architectures, ranging from transformer-based designs to recurrent neural networks. However, recent…

Machine Learning · Computer Science 2023-12-25 Aiyinsi Zuo , Haixi Zhang , Zirui Li , Ce Zheng

We present GradSTL, the first fully comprehensive implementation of signal temporal logic (STL) suitable for integration with neurosymbolic learning. In particular, GradSTL can successfully evaluate any STL constraint over any signal,…

Logic in Computer Science · Computer Science 2025-08-07 Mark Chevallier , Filip Smola , Richard Schmoetten , Jacques D. Fleuriot

Signal Temporal Logic (STL) inference learns interpretable logical rules for temporal behaviors in dynamical systems. To ensure the correctness of learned STL formulas, recent approaches have incorporated conformal prediction as a…

Machine Learning · Computer Science 2026-03-31 Yixuan Wang , Danyang Li , Matthew Cleaveland , Roberto Tron , Mingyu Cai

Real-time and human-interpretable decision-making in cyber-physical systems is a significant but challenging task, which usually requires predictions of possible future events from limited data. In this paper, we introduce a…

Machine Learning · Computer Science 2021-12-30 Erfan Aasi , Mingyu Cai , Cristian Ioan Vasile , Calin Belta

Large Language Models (LLMs) have shown impressive performance in mathematical reasoning tasks when guided by Chain-of-Thought (CoT) prompting. However, they tend to produce highly confident yet incorrect outputs, which poses significant…

Machine Learning · Computer Science 2025-06-11 Zhenjiang Mao , Artem Bisliouk , Rohith Reddy Nama , Ivan Ruchkin

Temporal logic inference is the process of extracting formal descriptions of system behaviors from data in the form of temporal logic formulas. The existing temporal logic inference methods mostly neglect uncertainties in the data, which…

Artificial Intelligence · Computer Science 2021-06-01 Nasim Baharisangari , Jean-Raphaël Gaglione , Daniel Neider , Ufuk Topcu , Zhe Xu

Large Language Models (LLMs) increasingly rely on long-form, multi-step reasoning to solve complex tasks such as mathematical problem solving and scientific question answering. Despite strong performance, existing confidence estimation…

Computation and Language · Computer Science 2026-01-21 Zhenjiang Mao , Anirudhh Venkat , Artem Bisliouk , Akshat Kothiyal , Sindhura Kumbakonam Subramanian , Saithej Singhu , Ivan Ruchkin

Multivariate time series classification is of great importance in practical applications and is a challenging task. However, deep neural network models such as Transformers exhibit high accuracy in multivariate time series classification…

Machine Learning · Computer Science 2024-11-19 Mingsen Du , Yanxuan Wei , Yingxia Tang , Xiangwei Zheng , Shoushui Wei , Cun Ji

Deep learning methods for time series have already reached excellent performances in both prediction and classification tasks, including anomaly detection. However, the complexity inherent in Cyber Physical Systems (CPS) creates a challenge…

Machine Learning · Computer Science 2024-07-31 Irene Ferfoglia , Gaia Saveri , Laura Nenzi , Luca Bortolussi
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