mlsanityData to 7 Oct 2026

Specifying User Preferences using Weighted Signal Temporal Logic

arXiv 2010.00752 ↗First posted 2 Oct 2020eess.SY cs.SYcited by 22

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Abstract (arXiv)

We extend Signal Temporal Logic (STL) to enable the specification of importance and priorities. The extension, called Weighted STL (wSTL), has the same qualitative (Boolean) semantics as STL, but additionally defines weights associated with Boolean and temporal operators that modulate its quantitative semantics (robustness). We show that the robustness of wSTL can be defined as weighted generalizations of all known compatible robustness functionals (i.e., robustness scores that are recursively defined over formulae) that can take into account the weights in wSTL formulae. We utilize this weighted robustness to distinguish signals with respect to a desired wSTL formula that has sub-formulae with different importance or priorities and time preferences, and demonstrate its usefulness in problems with conflicting tasks where satisfaction of all tasks cannot be achieved. We also employ wSTL robustness in an optimization framework to synthesize controllers that maximize satisfaction of a specification with user specified preferences.

Key facts. Cited by 22 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Oct 2020.

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Citing papers per year: 2021: 8; 2022: 6; 2023: 3; 2024: 2; 2025: 2; 2026: 1.

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  1. 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classificationcited by 10
  2. 2021Classification of Time-Series Data Using Boosted Decision Treescited by 9
  3. 2024TLINet: Differentiable Neural Network Temporal Logic Inferencecited by 8
  4. 2022Neuro-symbolic Models for Interpretable Time Series Classification using Temporal Logic Descriptioncited by 7
  5. 2022Receding Horizon Planning with Rule Hierarchies for Autonomous Vehiclescited by 7
  6. 2021Neural Network for Weighted Signal Temporal Logiccited by 5
  7. 2021Weighted Graph-Based Signal Temporal Logic Inference Using Neural Networkscited by 4
  8. 2022Interpretable Fault Diagnosis of Rolling Element Bearings with Temporal Logic Neural Networkcited by 4
  9. 2022Probabilistic Planning with Partially Ordered Preferences over Temporal Goalscited by 3
  10. 2021Inferring Temporal Logic Properties from Data using Boosted Decision Treescited by 2
  11. 2023Probabilistic Planning with Prioritized Preferences over Temporal Logic Objectivescited by 2
  12. 2023Optimal Cost-Preference Trade-off Planning with Multiple Temporal Taskscited by 2
10 more
  1. 2021Multi-Objective Controller Synthesis with Uncertain Human Preferencescited by 1
  2. 2021Learning Spatio-Temporal Specifications for Dynamical Systemscited by 1
  3. 2022Opportunistic Qualitative Planning in Stochastic Systems with Incomplete Preferences over Reachability Objectivescited by 1
  4. 2023A Safe Preference Learning Approach for Personalization with Applications to Autonomous Vehiclescited by 1
  5. 2021Reinforcement Learning Agent Training with Goals for Real World Taskscited by 0
  6. 2021Time-Incremental Learning from Data Using Temporal Logicscited by 0
  7. 2024Preference-Based Planning in Stochastic Environments: From Partially-Ordered Temporal Goals to Most Preferred Policiescited by 0
  8. 2025Closing the Intent-to-Behavior Gap via Fulfillment Priority Logiccited by 0
  9. 2025Automata Learning of Preferences over Temporal Logic Formulas from Pairwise Comparisonscited by 0
  10. 2026TimeSliver : Symbolic-Linear Decomposition for Explainable Time Series Classificationcited by 0