Publications (8)
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…
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…
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…
Tracking an Object with Unknown Accelerations using a Shadowing Filter
Kevin Judd
A commonly encountered problem is the tracking of a physical object, like a maneuvering ship, aircraft, land vehicle, spacecraft or animate creature carrying a wireless device. The…
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…
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…
Non-probabilistic odds and forecasting with imperfect models
Kevin Judd
Probability forecasts are intended to account for the uncertainties inherent in forecasting. It is suggested that from an end-user's point of view probability is not necessarily su…