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The rapid growth of research in exploiting machine learning to predict chaotic systems has revived a recent interest in Hamiltonian Neural Networks (HNNs) with physical constraints defined by the Hamilton's equations of motion, which…

Machine Learning · Computer Science 2021-06-02 Chen-Di Han , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Hypergraph representation learning has garnered increasing attention across various domains due to its capability to model high-order relationships. Traditional methods often rely on hypergraph neural networks (HNNs) employing message…

Machine Learning · Computer Science 2025-03-18 Xiangfei Fang , Boying Wang , Chengying Huan , Shaonan Ma , Heng Zhang , Chen Zhao

Most existing Heterogeneous Information Network (HIN) embedding methods focus on static environments while neglecting the evolving characteristic of realworld networks. Although several dynamic embedding methods have been proposed, they are…

Social and Information Networks · Computer Science 2020-11-13 Zhenghao Zhang , Jianbin Huang , Qinglin Tan

In this paper, the class of random irregular block-hierarchical networks is defined and algorithms for generation and calculation of network properties are described. The algorithms presented for this class of networks are more efficient…

Data Structures and Algorithms · Computer Science 2018-05-04 Svetlana Avetisyan , Mikayel Samvelyan , Martun Karapetyan

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

The human brain works in an unsupervised way, and more than one brain region is essential for lighting up intelligence. Inspired by this, we propose a brain-like heterogeneous network (BHN), which can cooperatively learn a lot of…

Neural and Evolutionary Computing · Computer Science 2020-06-09 Tao Liu

Compartmental epidemic models with dynamics that evolve over a graph network have gained considerable importance in recent years but analysis of these models is in general difficult due to their complexity. In this paper, we develop two…

Populations and Evolution · Quantitative Biology 2023-05-31 Sei Zhen Khong , Lanlan Su

In this paper we study homomorphisms of Probabilistic Regulatory Gene Networks(PRN) introduced in arXiv:math.DS/0603289 v1 13 Mar 2006. The model PRN is a natural generalization of the Probabilistic Boolean Networks (PBN), introduced by I.…

Dynamical Systems · Mathematics 2007-05-23 Maria A. Avino-Diaz

Hypergraphs provide an effective modeling approach for modeling high-order relationships in many real-world datasets. To capture such complex relationships, several hypergraph neural networks have been proposed for learning hypergraph…

Machine Learning · Computer Science 2024-04-08 Rongping Ye , Xiaobing Pei , Haoran Yang , Ruiqi Wang

Heterogeneous molecular entities and their interactions, commonly depicted as a network, are crucial for advancing our systems-level understanding of biology. With recent advancements in high-throughput data generation and a significant…

Quantitative Methods · Quantitative Biology 2026-03-18 Kishan KC , Rui Li , Paribesh Regmi , Anne R. Haake

This paper presents a gate-level Boolean evolutionary geometric attention neural network that models images as Boolean fields governed by logic gates. Each pixel is a Boolean variable (0 or 1) embedded on a two-dimensional geometric…

Neural and Evolutionary Computing · Computer Science 2025-11-25 Xianshuai Shi , Jianfeng Zhu , Leibo Liu

Transitional accounts of evolution emphasise a few changes that shape what is evolvable, with dramatic consequences for derived lineages. More recently it has been proposed that cognition might also have evolved via a series of major…

Artificial Intelligence · Computer Science 2025-09-18 Konstantinos Voudouris , Andrew Barron , Marta Halina , Colin Klein , Matishalin Patel

The dynamic stability of the Boolean networks representing a model for the gene transcriptional regulation (Kauffman model) is studied by calculating analytically and numerically the Hamming distance between two evolving configurations.…

Statistical Mechanics · Physics 2008-09-19 Deok-Sun Lee , Heiko Rieger

Graph neural networks (GNNs) have been applied into a variety of graph tasks. Most existing work of GNNs is based on the assumption that the given graph data is optimal, while it is inevitable that there exists missing or incomplete edges…

Machine Learning · Computer Science 2022-05-13 Qianggang Ding , Deheng Ye , Tingyang Xu , Peilin Zhao

It is now generally assumed that the heterogeneity of most networks in nature probably arises via preferential attachment of some sort. However, the origin of various other topological features, such as degree-degree correlations and…

Adaptation and Self-Organizing Systems · Physics 2010-03-05 Samuel Johnson , J. Marro , Joaquin J. Torres

Reconfigurable broadcast networks (RBN) are a model of distributed computation in which agents can broadcast messages to other agents using some underlying communication topology which can change arbitrarily over the course of executions.…

Logic in Computer Science · Computer Science 2022-07-12 A. R. Balasubramanian , Lucie Guillou , Chana Weil-Kennedy

We develop novel hierarchical reciprocal graphical models to infer gene networks from heterogeneous data. In the case of data that can be naturally divided into known groups, we propose to connect graphs by introducing a hierarchical prior…

Methodology · Statistics 2018-01-23 Yang Ni , Peter Mueller , Yitan Zhu , Yuan Ji

The two most fundamental processes describing change in biology, development and evolu-tion, occur over drastically different timescales, difficult to reconcile within a unified framework. Development involves temporal sequences of cell…

Biological Physics · Physics 2020-09-08 Enrico Borriello , Sara I. Walker , Manfred D. Laubichler

When analysing gene expression time series data an often overlooked but crucial aspect of the model is that the regulatory network structure may change over time. Whilst some approaches have addressed this problem previously in the…

Molecular Networks · Quantitative Biology 2012-03-05 Thomas Thorne , Michael P. H Stumpf

This paper mainly discusses the diffusion on complex networks with time-varying couplings. We propose a model to describe the adaptive diffusion process of local topological and dynamical information, and find that the Barabasi-Albert…

Physics and Society · Physics 2018-12-11 Ruiwu Niu , Xiaoqun Wu , Ju-an Lu , Jinhu Lv
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