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We develop a method for training neural networks on Boolean data in which the values at all nodes are strictly $\pm 1$, and the resulting models are typically equivalent to networks whose nonzero weights are also $\pm 1$. The method…

Machine Learning · Computer Science 2026-02-20 Veit Elser , Manish Krishan Lal

Boolean networks are special types of finite state time-discrete dynamical systems. A Boolean network can be described by a function from an n-dimensional vector space over the field of two elements to itself. A fundamental problem in…

Quantitative Methods · Quantitative Biology 2013-07-03 Yi Ming Zou

Boolean networks constitute relevant mathematical models to study the behaviours of genetic and signalling networks. These networks define regulatory influences between molecular nodes, each being associated to a Boolean variable and a…

Discrete Mathematics · Computer Science 2025-06-24 José E. R. Cury , Patrícia Tenera Roxo , Vasco Manquinho , Claudine Chaouiya , Pedro T. Monteiro

Bayesian networks (BNs) are a widely used graphical model in machine learning for representing knowledge with uncertainty. The mainstream BN structure learning methods require performing a large number of conditional independence (CI)…

Machine Learning · Computer Science 2022-12-09 Jiantong Jiang , Zeyi Wen , Ajmal Mian

Bolted joints are critical in engineering for maintaining structural integrity and reliability. Accurate prediction of parameters influencing their function and behavior is essential for optimal performance. Traditional methods often fail…

Machine Learning · Computer Science 2025-08-28 Ines Boujnah , Nehal Afifi , Andreas Wettstein , Sven Matthiesen

Boolean networks model finite discrete dynamical systems with complex behaviours. The state of each component is determined by a Boolean function of the state of (a subset of) the components of the network. This paper addresses the…

Artificial Intelligence · Computer Science 2020-02-28 Stéphanie Chevalier , Christine Froidevaux , Loïc Paulevé , Andrei Zinovyev

Skeletonization extracts thin representations from images that compactly encode their geometry and topology. These representations have become an important topological prior for preserving connectivity in curvilinear structures, aiding…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Luis D. Reyes Vargas , Martin J. Menten , Johannes C. Paetzold , Nassir Navab , Mohammad Farid Azampour

Boolean networks with canalizing functions are used to model gene regulatory networks. In order to learn how such networks may behave under evolutionary forces, we simulate the evolution of a single Boolean network by means of an adaptive…

Populations and Evolution · Quantitative Biology 2011-11-09 Agnes Szejka , Barbara Drossel

Shortest path search is a core operation in graph-based applications, yet existing methods face important limitations. Classical algorithms such as Dijkstra's and A* become inefficient as graphs grow more complex, while index-based…

Machine Learning · Computer Science 2025-08-05 Tiantian Liu , Xiao Li , Huan Li , Hua Lu , Christian S. Jensen , Jianliang Xu

Deep learning is computationally intensive, with significant efforts focused on reducing arithmetic complexity, particularly regarding energy consumption dominated by data movement. While existing literature emphasizes inference, training…

Machine Learning · Statistics 2025-06-09 Van Minh Nguyen , Cristian Ocampo , Aymen Askri , Louis Leconte , Ba-Hien Tran

Biclustering is a powerful approach to search for patterns in data, as it can be driven by a function that measures the quality of diverse types of patterns of interest. However, due to its computational complexity, the exploration of the…

Machine Learning · Computer Science 2021-04-27 Marcin Michalak , Jesús S. Aguilar-Ruiz

Boolean networks can be viewed as functions on the set of binary strings of a given length, described via logical rules. They were introduced as dynamic models into biology, in particular as logical models of intracellular regulatory…

Dynamical Systems · Mathematics 2025-04-16 J. García Galofre , M. Pérez Millán , A. Galarza Rial , R. Laubenbacher , A. Dickenstein

Interacting biological systems at all organizational levels display emergent behavior. Modeling these systems is made challenging by the number and variety of biological components and interactions (from molecules in gene regulatory…

Molecular Networks · Quantitative Biology 2023-10-20 Jordan C. Rozum , Colin Campbell , Eli Newby , Fatemeh Sadat Fatemi Nasrollahi , Reka Albert

Efficient exploration of vast compositional and processing spaces is essential for accelerated materials discovery. Bayesian optimization (BO) provides a principled strategy for identifying optimal materials with minimal experiments, yet…

Boolean network models of molecular regulatory networks have been used successfully in computational systems biology. The Boolean functions that appear in published models tend to have special properties, in particular the property of being…

Dynamical Systems · Mathematics 2024-07-09 Yuan Li , John O. Adeyeye , David Murrugarra , Boris Aguilar , Reinhard Laubenbacher

Pooling is a crucial operation in computer vision, yet the unique structure of skeletons hinders the application of existing pooling strategies to skeleton graph modelling. In this paper, we propose an Improved Graph Pooling Network,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Cong Wu , Xiao-Jun Wu , Tianyang Xu , Josef Kittler

Boolean network tomography is a powerful tool to infer the state (working/failed) of individual nodes from path-level measurements obtained by egde-nodes. We consider the problem of optimizing the capability of identifying network failures…

Networking and Internet Architecture · Computer Science 2019-03-27 Novella Bartolini , Ting He , Viviana Arrigoni , Annalisa Massini , Hana Khamfroush

Boolean networks have been used successfully in modeling biological networks and provide a good framework for theoretical analysis. However, the analysis of large networks is not trivial. In order to simplify the analysis of such networks,…

Molecular Networks · Quantitative Biology 2013-11-29 Alan Veliz-Cuba , Reinhard Laubenbacher , Boris Aguilar

MobileNets, a class of top-performing convolutional neural network architectures in terms of accuracy and efficiency trade-off, are increasingly used in many resourceaware vision applications. In this paper, we present Harmonious Bottleneck…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Duo Li , Aojun Zhou , Anbang Yao

We present and discuss the results of an experimental analysis in the design of Boolean networks by means of genetic algorithms. A population of networks is evolved with the aim of finding a network such that the attractor it reaches is of…

Neural and Evolutionary Computing · Computer Science 2011-02-01 Andrea Roli , Cristian Arcaroli , Marco Lazzarini , Stefano Benedettini