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Time series reasoning is emerging as the next frontier in temporal analysis, aiming to move beyond pattern recognition towards explicit, interpretable, and trustworthy inference. This paper presents a BlueSky vision built on two…

Machine Learning · Computer Science 2025-10-21 Kanghui Ning , Zijie Pan , Yushan Jiang , Anderson Schneider , Yuriy Nevmyvaka , Dongjin Song

Signal Temporal Logic (STL) is a formal language for describing a broad range of real-valued, temporal properties in cyber-physical systems. While there has been extensive research on verification and control synthesis from STL…

Although deep neural networks have shown well-performance in various tasks, the poor interpretability of the models is always criticized. In the paper, we propose a new interpretable neural network method, by embedding neurons into the…

Machine Learning · Computer Science 2022-11-16 Wei Han , Yangqiming Wang , Christian Böhm , Junming Shao

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

Background: Neuro-symbolic methods enhance the reliability of neural network classifiers through logical constraints, but they lack native support for ontologies. Objectives: We aim to develop a neuro-symbolic method that reliably outputs…

Artificial Intelligence · Computer Science 2026-01-22 Nicolas Lazzari , Valentina Presutti , Antonio Vergari

In this work, we introduce metrics to evaluate the use of simplified time series in the context of interpretability of a TSC -- a Time Series Classifier. Such simplifications are important because time series data, in contrast to text and…

Machine Learning · Computer Science 2025-11-04 Brigt Håvardstun , Felix Marti-Perez , Cèsar Ferri , Jan Arne Telle

We propose an efficient interpretable neuro-symbolic model to solve Inductive Logic Programming (ILP) problems. In this model, which is built from a set of meta-rules organised in a hierarchical structure, first-order rules are invented by…

Machine Learning · Computer Science 2021-12-28 Claire Glanois , Xuening Feng , Zhaohui Jiang , Paul Weng , Matthieu Zimmer , Dong Li , Wulong Liu

Recently, there has been a growing interest in leveraging pre-trained large language models (LLMs) for various time series applications. However, the semantic space of LLMs, established through the pre-training, is still underexplored and…

Machine Learning · Computer Science 2024-07-09 Zijie Pan , Yushan Jiang , Sahil Garg , Anderson Schneider , Yuriy Nevmyvaka , Dongjin Song

This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

We introduce Concept Bottleneck Large Language Models (CB-LLMs), a novel framework for building inherently interpretable Large Language Models (LLMs). In contrast to traditional black-box LLMs that rely on limited post-hoc interpretations,…

Computation and Language · Computer Science 2025-09-09 Chung-En Sun , Tuomas Oikarinen , Berk Ustun , Tsui-Wei Weng

We develop team semantics for Linear Temporal Logic (LTL) to express hyperproperties, which have recently been identified as a key concept in the verification of information flow properties. Conceptually, we consider an asynchronous and a…

Logic in Computer Science · Computer Science 2018-06-26 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

Metric Temporal Logic (MTL) is a popular formalism to specify temporal patterns with timing constraints over the behavior of cyber-physical systems with application areas ranging in property-based testing, robotics, optimization, and…

Logic in Computer Science · Computer Science 2026-03-11 Dogan Ulus

Weak supervision allows machine learning models to learn from limited or noisy labels, but it introduces challenges in interpretability and reliability - particularly in multi-instance partial label learning (MI-PLL), where models must…

Artificial Intelligence · Computer Science 2025-03-25 Nijesh Upreti , Vaishak Belle

We propose an interval extension of Signal Temporal Logic (STL) called Interval Signal Temporal Logic (\ISTL). Given an STL formula, we consider an interval inclusion function for each of its predicates. Then, we use minimal inclusion…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Luke Baird , Akash Harapanahalli , Samuel Coogan

Techniques based on Reinforcement Learning (RL) are increasingly being used to design control policies for robotic systems. RL fundamentally relies on state-based reward functions to encode desired behavior of the robot and bad reward…

Robotics · Computer Science 2020-11-11 Parv Kapoor , Anand Balakrishnan , Jyotirmoy V. Deshmukh

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

Rapid, reliable, and accurate interpretation of medical time-series signals is crucial for high-stakes clinical decision-making. Deep learning methods offered unprecedented performance in medical signal processing but at a cost: they were…

Signal Processing · Electrical Eng. & Systems 2024-10-08 Sully F. Chen , Zhicheng Guo , Cheng Ding , Xiao Hu , Cynthia Rudin

Learning to solve complex tasks with signal temporal logic (STL) specifications is crucial to many real-world applications. However, most previous works only consider fixed or parametrized STL specifications due to the lack of a diverse STL…

Robotics · Computer Science 2025-05-02 Yue Meng , Chuchu Fan

Time series classification (TSC) aims to predict the class label of a given time series, which is critical to a rich set of application areas such as economics and medicine. State-of-the-art TSC methods have mostly focused on classification…

Machine Learning · Computer Science 2021-06-01 Nestor Cabello , Elham Naghizade , Jianzhong Qi , Lars Kulik

We introduce Deep Adaptive Semantic Logic (DASL), a novel framework for automating the generation of deep neural networks that incorporates user-provided formal knowledge to improve learning from data. We provide formal semantics that…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Karan Sikka , Andrew Silberfarb , John Byrnes , Indranil Sur , Ed Chow , Ajay Divakaran , Richard Rohwer