in Complex Adaptive Systems
The NxtLight Workshop is a small research collaborative centered on creating and advancing a scientific computing platform that addresses complex network problems.
We host an advanced open-source computational tool for complexity research and community participation. It is designed for a broad scope of applications from economics, to physics, social science, and beyond. (See examples on the application page.)
The Four Analytical Traditions
The Reed Framework simultaneously applies seventeen analytical modules organized into four intellectual traditions, each asking a different question about the same simulation.
The information-theoretic tradition (blue) asks: how much directed causal information is flowing, which paths are direct versus mediated, how much organizational memory the system has stored, and how informationally isolated its communities are? Modules: Transfer Entropy, Hub Identification, Partial TE/Granger, Entropy Production Rate, Information Entropy Suite, Information Bottleneck.
The dynamical systems tradition (green) asks: is the system stable or chaotic, what equations govern it, does it lie on a low-dimensional attractor, and does it revisit the same regions of state space? Modules: Lyapunov Exponent, SINDy, Diffusion Maps, TARP, Spectral Radius Tracking, Recurrence Quantification Analysis.
The topological data analysis tradition (purple) asks: what is the global shape of the trajectory through state space, independent of any coordinate system? Module: Persistent Homology.
The algebraic and graph-theoretic tradition (gold) asks: how does the network partition, how does information diffuse, how many external control signals are needed to steer it, and does nonlinearity change that count? Modules: Graph Laplacian, Community Detection, Network Controllability (Linear), Nonlinear Controllability.
Additionally, the Hebbian Plasticity and Echo-State Reservoir module (engine/cross-cutting) is the theoretical substrate connecting all four traditions: it describes the learning mechanism that drives co-evolution of topology and signals.
Here is a Plain English Description for the Non-Technical Readers: NxtLight_Modules_Plain_English_Rev1_0 (1)Download