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The advanced data structure of the zero-suppressed binary decision diagram (ZDD) enables us to efficiently enumerate nonequivalent substitutional structures. Not only can the ZDD store a vast number of structures in a compressed manner, but…

Computational Physics · Physics 2025-06-25 Kohei Shinohara , Atsuto Seko , Takashi Horiyama , Isao Tanaka

BDDs are representations of a Boolean expression in the form of a directed acyclic graph. BDDs are widely used in several fields, particularly in model checking and hardware verification. There are several implementations for BDD…

Logic in Computer Science · Computer Science 2023-05-02 Luigi Capogrosso , Luca Geretti , Marco Cristani , Franco Fummi , Tiziano Villa

The power budget for embedded hardware implementations of Deep Learning algorithms can be extremely tight. To address implementation challenges in such domains, new design paradigms, like Approximate Computing, have drawn significant…

Image and Video Processing · Electrical Eng. & Systems 2019-03-27 Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

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

Aircraft collision avoidance systems have long been a key factor in keeping our airspace safe. Over the past decade, the FAA has supported the development of a new family of collision avoidance systems called the Airborne Collision…

Zero-suppressed Binary Decision Diagrams (ZDDs) are data structures for representing set families in a compressed form. With ZDDs, many valuable operations on set families can be done in time polynomial in ZDD size. In some cases, however,…

Data Structures and Algorithms · Computer Science 2020-04-10 Kotaro Matsuda , Shuhei Denzumi , Kunihiko Sadakane

In this paper, we propose a learned scalable/progressive image compression scheme based on deep neural networks (DNN), named Bidirectional Context Disentanglement Network (BCD-Net). For learning hierarchical representations, we first adopt…

Multimedia · Computer Science 2019-04-23 Zhizheng Zhang , Zhibo Chen , Jianxin Lin , Weiping Li

A decision diagram (DD) is a graph-like data structure for homomorphic compression of Boolean and pseudo-Boolean functions. Over the past decades, decision diagrams have been successfully applied to verification, linear algebra, stochastic…

Quantum Physics · Physics 2026-02-23 Arend-Jan Quist , Tim Coopmans , Alfons Laarman

We follow up on the idea of Lars Arge to rephrase the Reduce and Apply procedures of Binary Decision Diagrams (BDDs) as iterative I/O-efficient algorithms. We identify multiple avenues to simplify and improve the performance of his proposed…

Data Structures and Algorithms · Computer Science 2026-03-25 Steffan Christ Sølvsten , Jaco van de Pol , Anna Blume Jakobsen , Mathias Weller Berg Thomasen

Decision lists (DLs) find a wide range of uses for classification problems in Machine Learning (ML), being implemented in a number of ML frameworks. DLs are often perceived as interpretable. However, building on recent results for decision…

Artificial Intelligence · Computer Science 2021-05-17 Alexey Ignatiev , Joao Marques-Silva

The enormous number of states reachable during explicit model checking is the main bottleneck for scalability. This paper presents approaches of using decision diagrams to represent very large state space compactly and efficiently. This is…

Software Engineering · Computer Science 2020-05-01 Hao Zheng , Andrew Price , Chris Myers

Modeling decision-dependent scenario probabilities in stochastic programs is difficult and typically leads to large and highly non-linear MINLPs that are very difficult to solve. In this paper, we develop a new approach to obtain a compact…

Optimization and Control · Mathematics 2017-01-18 Utz-Uwe Haus , Carla Michini , Marco Laumanns

Turbofan engine degradation under sustained operational stress necessitates robust prognostic systems capable of accurately estimating the Remaining Useful Life (RUL) of critical components. Existing deep learning approaches frequently fail…

Machine Learning · Computer Science 2026-04-21 Mohammed Ezzaldin Babiker Abdullah

Due to the importance of the lower bounding distances and the attractiveness of symbolic representations, the family of symbolic aggregate approximations (SAX) has been used extensively for encoding time series data. However, typical…

Information Retrieval · Computer Science 2024-04-24 Konstantinos Bountrogiannis , George Tzagkarakis , Panagiotis Tsakalides

Image compression has been a frequent topic of presentations at ADASS. Compression is often viewed as just a technique to fit more data into a smaller space. Rather, the packing of data - its "density" - affects every facet of local data…

Instrumentation and Methods for Astrophysics · Physics 2009-10-21 Robert L. Seaman , Richard L. White , William D. Pence

Automatic pulmonary nodules classification is significant for early diagnosis of lung cancers. Recently, deep learning techniques have enabled remarkable progress in this field. However, these deep models are typically of high computational…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Hanliang Jiang , Fuhao Shen , Fei Gao , Weidong Han

Although traditionally binary visual representations are mainly designed to reduce computational and storage costs in the image retrieval research, this paper argues that binary visual representations can be applied to large scale…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Jianxin Wu , Jian-Hao Luo

Constraints among test parameters often have substantial effects on the performance of test case generation for combinatorial interaction testing. This paper investigates the effectiveness of the use of Binary Decision Diagrams (BDDs) for…

Software Engineering · Computer Science 2019-07-04 Tatsuhiro Tsuchiya

The BDD package Adiar manipulates Binary Decision Diagrams (BDDs) in external memory. This enables handling big BDDs, but the performance suffers when dealing with moderate-sized BDDs. This is mostly due to initializing expensive external…

Data Structures and Algorithms · Computer Science 2025-05-21 Steffan Christ Sølvsten , Jaco van de Pol

Decision diagrams (DDs) are a powerful data structure that is used to tackle the state-space explosion problem, not only for discrete systems, but for probabilistic and quantum systems as well. While many of the DDs used in the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-06 Sebastiaan Brand , Arend-Jan Quist , Richard M. K. van Dijk , Alfons Laarman