Skip to content
Simone Silvetti

← All papers

Guided by Stars: Interpretable Concept Learning Over Time Series via Temporal Logic Semantics

Irene Ferfoglia, Simone Silvetti, Gaia Saveri, Laura Nenzi, Luca Bortolussi

arXiv preprint arXiv:2511.04244, 2025

Read the paper →

The problem

Time series classification often matters in safety-critical applications, yet it is usually tackled with black-box deep learning models whose decisions are hard for people to understand.

The approach

STELLE (Signal Temporal logic Embedding for Logically-grounded Learning and Explanation) is a neuro-symbolic framework that unifies classification and explanation. Trajectories are embedded directly into a space of temporal logic concepts through a new STL-inspired kernel, which measures how well a raw time series aligns with a set of predefined STL formulae.

The model optimises accuracy and interpretability together, producing:

  1. local explanations: human-readable STL conditions that justify each prediction;
  2. global explanations: formulae that characterise each class.

Results

Experiments on diverse real-world benchmarks show competitive accuracy together with logically faithful explanations.


← All papers