Natural and manmade complex systems are comprised of different elementary units, being
either system components or diverse subsystems as in the case of networked systems …

With advances in instrumentation and the tremendous increase in computational power, vast
amounts of data are becoming available for many complex phenomena in macroscopically …

Real-world non-autonomous systems are open, out-of-equilibrium systems that evolve in
and are driven by temporally varying environments. Such systems can show multiple …

Rapid evolution of sensor technology, advances in instrumentation, and progress in
devising data-acquisition software and hardware are providing vast amounts of data for …

Time series often exhibit a combination of long-range drift and short-term stochastic
fluctuations. Traditional methods for analyzing such series involve fitting regression models …

The complex dynamics of physical systems can often be modeled with stochastic differential
equations. However, computational constraints inhibit the estimation of dynamics from large …

For over half a century, the analysis, control, and optimization design of high-dimensional
nonlinear stochastic dynamical systems have posed long-standing challenges in the fields …

Evaluating environmental variables that vary stochastically is the principal topic for
designing better environmental management and restoration schemes. Both the upper and …

This paper develops a data-driven deterministic identification architecture for discovering
stochastic differential equations (SDEs) directly from data. The architecture first generates …

In the study of local and heterogeneous structures in supercooled liquids, microrheology
plays a crucial role, offering a closer examination of the mechanical properties at a local …