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Recently, decision trees (DT) have been used as an explainable representation of controllers (a.k.a. strategies, policies, schedulers). Although they are often very efficient and produce small and understandable controllers for discrete…

Machine Learning · Computer Science 2022-08-30 Florian Jüngermann , Jan Křetínský , Maximilian Weininger

In reliability engineering, we need to understand system dependencies, cause-effect relations, identify critical components, and analyze how they trigger failures. Three prominent graph models commonly used for these purposes are fault…

Other Computer Science · Computer Science 2023-10-10 L. A. Jimenez-Roa , T. Heskes , M. Stoelinga

In the last decade, decision diagrams (DDs) have been the basis for a large array of novel approaches for modeling and solving optimization problems. Many techniques now use DDs as a key tool to achieve state-of-the-art performance within…

Optimization and Control · Mathematics 2022-01-28 Margarita P. Castro , Andre A. Cire , J. Christopher Beck

Decision tree learning is a popular classification technique most commonly used in machine learning applications. Recent work has shown that decision trees can be used to represent provably-correct controllers concisely. Compared to…

Machine Learning · Computer Science 2021-02-02 Pranav Ashok , Mathias Jackermeier , Pushpak Jagtap , Jan Křetínský , Maximilian Weininger , Majid Zamani

Controller synthesis techniques based on symbolic abstractions appeal by producing correct-by-design controllers, under intricate behavioural constraints. Yet, being relations between abstract states and inputs, such controllers are immense…

Systems and Control · Computer Science 2018-03-21 Ivan S. Zapreev , Cees Verdier , Manuel Mazo

Decision diagrams for classification have some notable advantages over decision trees, as their internal connections can be determined at training time and their width is not bound to grow exponentially with their depth. Accordingly,…

Machine Learning · Computer Science 2022-05-31 Alexandre M. Florio , Pedro Martins , Maximilian Schiffer , Thiago Serra , Thibaut Vidal

Decision Diagrams (DDs) have emerged as a powerful tool for discrete optimization, with rapidly growing adoption. DDs are directed acyclic layered graphs; restricted DDs are a generalized greedy heuristic for finding feasible solutions, and…

Optimization and Control · Mathematics 2026-02-27 Isaac Rudich , Louis-Martin Rousseau

Deep Reinforcement Learning (DRL) has recently achieved significant advances in various domains. However, explaining the policy of RL agents still remains an open problem due to several factors, one being the complexity of explaining neural…

Machine Learning · Computer Science 2021-03-31 Zihan Ding , Pablo Hernandez-Leal , Gavin Weiguang Ding , Changjian Li , Ruitong Huang

Recent advances have shown how decision trees are apt data structures for concisely representing strategies (or controllers) satisfying various objectives. Moreover, they also make the strategy more explainable. The recent tool dtControl…

Artificial Intelligence · Computer Science 2021-05-05 Pranav Ashok , Mathias Jackermeier , Jan Křetínský , Christoph Weinhuber , Maximilian Weininger , Mayank Yadav

Decision trees (DTs) epitomize what have become to be known as interpretable machine learning (ML) models. This is informally motivated by paths in DTs being often much smaller than the total number of features. This paper shows that in…

Machine Learning · Computer Science 2020-10-22 Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

Decision trees (DTs) epitomize the ideal of interpretability of machine learning (ML) models. The interpretability of decision trees motivates explainability approaches by so-called intrinsic interpretability, and it is at the core of…

Artificial Intelligence · Computer Science 2022-10-04 Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

To increase the interpretability and prediction accuracy of the Machine Learning (ML) models, visualization of ML models is a key part of the ML process. Decision Trees (DTs) are essential in machine learning (ML) because they are used to…

Machine Learning · Computer Science 2023-05-31 Boris Kovalerchuk Andrew Dunn , Alex Worland , Sridevi Wagle

Decision trees (DTs) embody interpretable classifiers. DTs have been advocated for deployment in high-risk applications, but also for explaining other complex classifiers. Nevertheless, recent work has demonstrated that predictions in DTs…

Artificial Intelligence · Computer Science 2022-05-20 Yacine Izza , Alexey Ignatiev , Nina Narodytska , Martin C. Cooper , Joao Marques-Silva

We consider the compilation of a binary neural network's decision function into tractable representations such as Ordered Binary Decision Diagrams (OBDDs) and Sentential Decision Diagrams (SDDs). Obtaining this function as an OBDD/SDD…

Machine Learning · Computer Science 2020-07-06 Weijia Shi , Andy Shih , Adnan Darwiche , Arthur Choi

Automatic synthesis of hardware components from declarative specifications is an ambitious endeavor in computer aided design. Existing synthesis algorithms are often implemented with Binary Decision Diagrams (BDDs), inheriting their…

Logic in Computer Science · Computer Science 2013-11-15 Roderick Bloem , Robert Koenighofer , Martina Seidl

Understanding the decisions of tree-based ensembles and their relationships is pivotal for machine learning model interpretation. Recent attempts to mitigate the human-in-the-loop interpretation challenge have explored the extraction of the…

Machine Learning · Computer Science 2024-04-05 Leonardo Arrighi , Luca Pennella , Gabriel Marques Tavares , Sylvio Barbon Junior

Recent advancements in generative machine learning have enabled rapid progress in biological design tools (BDTs) such as protein structure and sequence prediction models. The unprecedented predictive accuracy and novel design capabilities…

Computers and Society · Computer Science 2023-12-01 Richard Moulange , Max Langenkamp , Tessa Alexanian , Samuel Curtis , Morgan Livingston

Chain reduction enables reduced ordered binary decision diagrams (BDDs) and zero-suppressed binary decision diagrams (ZDDs) to each take advantage of the others' ability to symbolically represent Boolean functions in compact form. For any…

Data Structures and Algorithms · Computer Science 2017-10-19 Randal E. Bryant

Two-level logic minimization is a central problem in logic synthesis, and has applications in reliability analysis and automated reasoning. This paper represents a method of minimizing Boolean sum of products function with binary decision…

Data Structures and Algorithms · Computer Science 2012-03-29 Debajit Sensarma , Subhashis Banerjee , Krishnendu Basuli , Saptarshi Naskar , Samar Sen Sarma

Ordered binary decision diagrams (OBDDs) are a fundamental data structure for the manipulation of Boolean functions, with strong applications to finite-state symbolic model checking. OBDDs allow for efficient algorithms using top-down…

Logic in Computer Science · Computer Science 2025-02-18 Michael Blondin , Michaël Cadilhac , Xin-Yi Cui , Philipp Czerner , Javier Esparza , Jakob Schulz
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