Publications (74)
Fitness-driven deactivation in network evolution
Xin-Jian Xu, Xiao-Long Peng, Michael Small +1
Individual nodes in evolving real-world networks typically experience growth and decay --- that is, the popularity and influence of individuals peaks and then fades. In this paper,…
Pairwise interaction pattern in the weighted communication network
Xiao-Ke Xu, Jian-Bo Wang, Ye Wu +1
Although recent studies show that both topological structures and human dynamics can strongly affect information spreading on social networks, the complicated interplay of the two…
Neuronal avalanches of a self-organized neural network with active-neuron-dominant structure
Xiumin Li, Michael Small
Neuronal avalanche is a spontaneous neuronal activity which obeys a power-law distribution of population event sizes with an exponent of -3/2. It has been observed in the superfici…
Plausible models for propagation of the SARS virus
Michael Small, Pengliang Shi, Chi Kong Tse
Using daily infection data for Hong Kong we explore the validity of a variety of models of disease propagation when applied to the SARS epidemic. Surrogate data methods show that s…
Exploration of period-doubling cascade route to chaos with complex network based time series construction
Ruoxi Xiang, Michael Small
In this work, the topologies of networks constructed from time series from an underlying system undergo a period doubling cascade have been explored by means of the prevalence of d…
Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems
Michael McCullough, Michael Small, Thomas Stemler +1
We investigate a generalised version of the recently proposed ordinal partition time series to network transformation algorithm. Firstly we introduce a fixed time lag for the eleme…
Temporal prediction of epidemic patterns in community networks
Xiao-Long Peng, Michael Small, Xin-Jian Xu +1
Most previous studies of epidemic dynamics on complex networks suppose that the disease will eventually stabilize at either a disease-free state or an endemic one. In reality, howe…
Constructing directed networks from multivariate time series using linear modelling technique
Toshihiro Tanizawa, Tomomichi Nakamura, Fumihiko Taya +1
We describe a method to construct directed networks from multivariate time series which has several advantages over the widely accepted methods. This method is based on an informat…
Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks
Jie Zhang, Changsong Zhou, Xiaoke Xu +1
Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We invest…
Geometric measures of redundance and irrelevance tradeoff exponent to choose suitable delay times for continuous systems
Xiaodong Luo, Michael Small
Using the concept of the geometric measures of redundance and irrelevance tradeoff exponent (RITE)}, we present a new method to determine suitable delay times for continuous system…
Dynamics, Complexity and Time Series Analysis
Eugene Tan, David Walker, Michael Small +1
The aim of this text is to provide a linguistically accessible, but comprehensive introduction into a variety of topics in dynamical systems and its applications. Whilst preliminar…
The Impacts of Subsidy Policies on Vaccination Decisions in Contact Networks
Hai-Feng Zhang, Zhi-Xi Wu, Xiao-Ke Xu +2
Often, vaccination programs are carried out based on self-interest rather than being mandatory. Owing to the perceptions about risks associated with vaccines and the `herd immunity…
Economy and Geography Shape the Collective Attention of Cities
Ke-ke Shang, Jiangli Zhu, Junfan Yi +5
Complex networks are commonly used to explore human behavior. However, previous studies largely overlooked the geographical and economic factors embedded in collective attention. T…
The key to the weak-ties phenomenon
Ke-ke Shang, Michael Small, Di Yin +2
The study of the weak-ties phenomenon has a long and well documented history, research into the application of this social phenomenon has recently attracted increasing attention. H…
Navigation by anomalous random walks on complex networks
Tongfeng Weng, Jie Zhang, Moein Khajehnejad +3
Anomalous random walks having long-range jumps are a critical branch of dynamical processes on networks, which can model a number of search and transport processes. However, tradit…
Rich-club connectivity dominates assortativity and transitivity of complex networks
Xiao-Ke Xu, Jie Zhang, Michael Small
Rich-club, assortativity and clustering coefficients are frequently-used measures to estimate topological properties of complex networks. Here we find that the connectivity among a…
Triadic Closure-Heterogeneity-Harmony GCN for Link Prediction
Ke-ke Shang, Junfan Yi, Michael Small +1
Link prediction aims to estimate the likelihood of connections between pairs of nodes in complex networks, which is beneficial to many applications from friend recommendation to me…
Characterisation of neonatal cardiac dynamics using ordinal partition network
Laurita dos Santos, Débora Corrêa, David Walker +3
The maturation of the autonomic nervous system (ANS) starts in the gestation period and it is completed after birth in a variable time, reaching its peak in adulthood. However, the…
Ordinal Poincaré Sections: Reconstructing the First Return Map from an Ordinal Segmentation of Time Series
Zahra Shahriari, Shannon Dee Algar, David M. Walker +1
We propose a robust and computationally efficient algorithm to generically construct first return maps of dynamical systems from time series without the need for embedding. Typical…
Effects of Squark Processes on the Axino CDM Abundance
Laura Covi, Leszek Roszkowski, Michael Small
We investigate the role of an effective dimension-4 axino-quark-squark coupling in the thermal processes producing stable cold axino relics in the early Universe. We find that, whi…
Backpropagation on Dynamical Networks
Eugene Tan, Débora Corrêa, Thomas Stemler +1
Dynamical networks are versatile models that can describe a variety of behaviours such as synchronisation and feedback. However, applying these models in real world contexts is dif…
Multitarget search on complex networks: A logarithmic growth of global mean random cover time
Tongfeng Weng, Jie Zhang, Michael Small +3
We investigate multitarget search on complex networks and derive an exact expression for the mean random cover time that quantifies the expected time a walker needs to visit multip…
Preferential imitation of vaccinating behavior can invalidate the targeted subsidy on complex network
Hai-Feng Zhang, Pan-Pan Shu, Ming Tang +1
We consider the effect of inducement to vaccinate during the spread of an infectious disease on complex networks. Suppose that public resources are finite and that only a small pro…
The stability of networks --- towards a structural dynamical systems theory
Michael Small, Kevin Judd, Thomas Stemler
The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems)…
Detecting periodicity in experimental data using linear modeling techniques
Michael Small, Kevin Judd
Fourier spectral estimates and, to a lesser extent, the autocorrelation function are the primary tools to detect periodicities in experimental data in the physical and biological s…
Prevention of infectious diseases by public vaccination and individual protection
Xiao-Long Peng, Xin-Jian Xu, Michael Small +2
In the face of serious infectious diseases, governments endeavour to implement containment measures such as public vaccination at a macroscopic level. Meanwhile, individuals tend t…
Fast Automatic Detection of Geological Boundaries from Multivariate Log Data Using Recurrence
Ayham Zaitouny, Michael Small, June Hill +2
Manual interpretation of data collected from drill holes for mineral or oil and gas exploration is time-consuming and subjective. Identification of geological boundaries and distin…
Optimal embedding parameters: A modelling paradigm
Michael Small, Chi K. Tse
Reconstruction of a dynamical system from a time series requires the selection of two parameters, the embedding dimension and the embedding lag . Many competing criteria…
Do triangles matter? Replicating hypergraph disease dynamics with lower-order interactions
Eugene Tan, Michael Small, Shannon D. Algar
Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behaviour of a given epidemic or inf…
Navigating differential structures in complex networks
Leonardo L. Portes, Michael Small
Structural changes in a network representation of a system (e.g.,different experimental conditions, time evolution), can provide insight on its organization, function and on how it…
What exactly are the properties of scale-free and other networks?
Kevin Judd, Michael Small, Thomas Stemler
The concept of scale-free networks has been widely applied across natural and physical sciences. Many claims are made about the properties of these networks, even though the concep…
A novel metric for community detection
Ke-ke Shang, Michael Small, Yan Wang +2
Research into detection of dense communities has recently attracted increasing attention within network science, various metrics for detection of such communities have been propose…
Dynamic Object Geographic Coordinate Recognition: An Attitude-Free and Reference-Free Framework via Intrinsic Linear Algebraic Structures
Junfan Yi, Ke-ke Shang, Michael Small
The Earth, a temporal complex system, is witnessing a shift in research on its coordinate system, moving away from conventional static positioning toward embracing dynamic modeling…
Modelling remote epidemic transmission in Western Australia and implications for pandemic response
Michael Small, Orlando Porras, Michael Little +2
We develop an agent-based model of disease transmission in remote communities in Western Australia. Despite extreme isolation, we show that the movement of people amongst a large n…
Exactly scale-free scale-free networks
Linjun Zhang, Michael Small, Kevin Judd
Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment…
A simple model of global cascades on random hypergraphs
Lei Chen, Yanpeng Zhu, Jiadong Zhu +5
This study introduces a comprehensive framework that situates information cascades within the domain of higher-order interactions, utilizing a double-threshold hypergraph model. We…
Asymptotically pivotal statistic for surrogate testing with extended hypothesis
Xiaodong Luo, Jie Zhang, Junfeng Sun +2
The method of surrogate data provides a framework for testing observed data against a hierarchy of alternative hypotheses. The aim of applying this method is to exclude the possibi…
Surrogate Test to Distinguish between Chaotic and Pseudoperiodic Time Series
Xiaodong Luo, Tomomichi Nakamura, Michael Small
In this communication a new algorithm is proposed to produce surrogates for pseudoperiodic time series. By imposing a few constraints on the noise components of pseudoperiodic data…
Predicting the outcome of roulette
Michael Small, Chi Kong Tse
There have been several popular reports of various groups exploiting the deterministic nature of the game of roulette for profit. Moreover, through its history the inherent determi…
A surrogate for networks -- How scale-free is my scale-free network?
Michael Small, Kevin Judd, Thomas Stemler
Complex networks are now being studied in a wide range of disciplines across science and technology. In this paper we propose a method by which one can probe the properties of expe…
Surrogate data method applied to nonlinear time series
Xiaodong Luo, Tomomichi Nakamura, Michael Small
The surrogate data method is widely applied as a data dependent technique to test observed time series against a barrage of hypotheses. However, often the hypotheses one is able to…
Modelling of SARS for Hong Kong
Pengliang Shi, Michael Small
A simplified susceptible-infected-recovered (SIR) epidemic model and a small-world model are applied to analyse the spread and control of Severe Acute Respiratory Syndrome (SARS) f…
Model Calibration and Validation From A Statistical Inference Perspective
Samson Ting, Thomas Lymburn, Thomas Stemler +2
Despite the general consensus in transport research community that model calibration and validation are necessary to enhance model predictive performance, there exist significant i…
Reciprocal relationships in collective flights of homing pigeons
Xiao-Ke Xu, Graciano Dieck Kattas, Michael Small
Collective motion of bird flocks can be explained via the hypothesis of many wrongs, and/or, a structured leadership mechanism. In pigeons, previous studies have shown that there i…
Analysis of Activity Dependent Development of Topographic Maps in Neural Field Theory with Short Time Scale Dependent Plasticity
Nicholas Gale, Jennifer Rodger, Michael Small +1
Topographic maps are a brain structure connecting pre-synpatic and post-synaptic brain regions. Topographic development is dependent on Hebbian-based plasticity mechanisms working…
Pricing the Unpriced Asset: A Standards-Based Method for Valuing Enterprise Data under IAS 38 and IAS 2
Natasha E. Blycha, James Myint, Dean Arden +7
The recognition and measurement of data assets under current accounting standards presents significant challenges. While International Accounting Standard 38 (IAS 38) provides a fr…
Impact of asymptomatic infection on coupled disease-behavior dynamics in complex networks
Hai-Feng Zhang, Jia-Rong Xie, Han-Shuang Chen +2
Studies on how to model the interplay between diseases and behavioral responses (so-called coupled disease-behavior interaction) have attracted increasing attention. Owing to the l…
Selecting embedding delays: An overview of embedding techniques and a new method using persistent homology
Eugene Tan, Shannon Algar, Débora Corrêa +3
Delay embedding methods are a staple tool in the field of time series analysis and prediction. However, the selection of embedding parameters can have a big impact on the resulting…
Optimal phase space projection for noise reduction
Xiaodong Luo, Jie Zhang, Michael Small
In this communication we will re-examine the widely studied technique of phase space projection. By imposing a time domain constraint (TDC) on the residual noise, we deduce a more…
Exact nonparametric inference for detection of nonlinear determinism
Xiaodong Luo, Jie Zhang, Michael Small +1
We propose an exact nonparametric inference scheme for the detection of nonlinear determinism. The essential fact utilized in our scheme is that, for a linear stochastic process wi…
West Australian Pandemic Response: The Black Swan of Black Swans
David Cavanagh, Mark Hoey, Andrew Clark +3
The COVID-19 Pandemic has been described as the global challenge of our time, an enormous human tragedy with dramatic economic impacts. This paper describes the response and expect…
Modelling strong control measures for epidemic propagation with networks -- A COVID-19 case study
Michael Small, David Cavanagh
We show that precise knowledge of epidemic transmission parameters is not required to build an informative model of the spread of disease. We propose a detailed model of the topolo…
Estimating the distribution of dynamic invariants: Illustrated with an application to human photo-plethysmographic time series
Michael Small
Dynamic invariants are often estimated from experimental time series with the aim of differentiating between different physical states in the underlying system. The most popular sc…
Transmission dynamics of an SIS model with age structure on heterogeneous networks
Shanshan Chen, Michael Small, Yizhou Tao +1
Age at infection is often an important factor in epidemic dynamics. In this paper a disease transmission model of SIS type with age dependent infection on a heterogeneous network i…
Complex Network Approach to the Statistical Features of the Sunspot Series
Yong Zou, Michael Small, Zonghua Liu +1
Complex network approaches have been recently developed as an alternative framework to study the statistical features of time-series data. We perform a visibility-graph analysis on…
Revising the simple measures of assortativity in complex networks
Xiao-Ke Xu, Jie Zhang, Junfeng Sun +1
We find that traditional statistics for measuring degree mixing are strongly affected by superrich nodes. To counteract and measure the effect of superrich nodes, we propose a para…
Flocking of Multi-agent Dynamical Systems Based on Pseudo-leader Mechanism
Jin Zhou, Wenwu Yu, Xiaoqun Wu +2
Flocking behavior of multiple agents can be widely observed in nature such as schooling fish and flocking birds. Recent literature has proposed the possibility that flocking is pos…
Analysis of telephone network traffic based on a complex user network
Yongxiang Xia, Chi K. Tse, Francis C. M. Lau +2
The traffic in telephone networks is analyzed in this paper. Unlike the classical traffic analysis where call blockings are due to the limited channel capacity, we consider here a…
Super-star networks: Growing optimal scale-free networks via likelihood
Michael Small, Yingying Li, Thomas Stemler +1
Preferential attachment --- by which new nodes attach to existing nodes with probability proportional to the existing nodes' degree --- has become the standard growth model for sca…
Basin of Attraction Determines Hysteresis in Explosive Synchronization
Yong Zou, Tiago Pereira, Michael Small +2
Spontaneous explosive emergent behavior takes place in heterogeneous networks when the frequencies of the nodes are positively correlated to the node degree. A central feature of s…
Optimizing and controlling functions of complex networks by manipulating rich-club connections
Xiao-ke xu, Jie Zhang, Ping Li +1
Traditionally, there is no evidence suggesting that there are strong ties between the rich-club property and the function of complex networks. In this study, we find that whether a…
Expected degree of finite preferential attachment networks
Michael Small
We provide an analytic expression for the quantity described in the title. Namely, we perform a preferential attachment growth process to generate a scale-free network. At each sta…
Multiscale characterization of recurrence-based phase space networks constructed from time series
Ruoxi Xiang, Jie Zhang, Xiao-ke Xu +1
Recently, a framework for analyzing time series by constructing an associated complex network has attracted significant research interest. One of the advantages of the complex netw…
Machine Learning Informed by Micro and Mesoscopic Statistical Physics Methods for Community Detection
Yijun Ran, Junfan Yi, Wei Si +2
Community detection plays a crucial role in understanding the structural organization of complex networks. Previous methods, particularly those from statistical physics, primarily…
Detection of core-periphery structure in networks by 3-tuple motifs
Chuang Ma, Bing-Bing Xiang, Hai-Feng Zhang +2
Recently, the core-periphery (CP) structure of networks as one type of meso-scale structure has received attention. The CP structure is composed of a dense core and a sparse connec…
Global stability of epidemic models with imperfect vaccination and quarantine on scale-free networks
Shanshan Chen, Michael Small, Xinchu Fu
Public health services are constantly searching for new ways to reduce the spread of infectious diseases, such as public vaccination of asymptomatic individuals, quarantine (isolat…
Generating self-organizing collective behavior using separation dynamics from experimental data
Graciano Dieck Kattas, Xiao-ke Xu, Michael Small
Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are construc…
Consistency capacity of reservoir computers
Thomas Jüngling, Thomas Lymburn, Michael Small
We study the propagation and distribution of information-carrying signals injected in dynamical systems serving as a reservoir computers. A multivariate correlation analysis in tai…
Dynamical modeling of collective behavior from pigeon flight data: flock cohesion and dispersion
Graciano Dieck Kattas, Xiao-Ke Xu, Michael Small
Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational…
The instability of followers and emergent vorticity in flocking behaviour for an experimental interaction rule
Michael Small, Xiaoke Xu
Computational models of collective behavior in birds has allowed us to infer interaction rules directly from experimental data. Using a generic form of these rules we explore the c…
Consistency in Echo-State Networks
Thomas Lymburn, Alexander Khor, Thomas Stemler +3
Consistency is an extension to generalized synchronization which quantifies the degree of functional dependency of a driven nonlinear system to its input. We apply this concept to…
Axino Dark Matter and the CMSSM
Laura Covi, Leszek Roszkowski, Roberto Ruiz de Austri +1
If the axino is the lightest superpartner and satisfies cosmological bounds, including a preferred range of the relic abundance of cold dark matter, then the usual stringent constr…
Optimal time delay embedding for nonlinear time series modeling
Michael Small
When building linear or nonlinear models one is faced with the problem of selecting the best set of variable with which to predict the future dynamics. In nonlinear time series ana…
Recurrence-based time series analysis by means of complex network methods
Reik V. Donner, Michael Small, Jonathan F. Donges +4
Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different inter…