A new breakthrough pushes the limits of randomness, bringing a decades-old mathematical mystery closer to resolution ...

Complex social systems emerge from interactions among individuals, organizations, and institutions. Over the past two decades, evolutionary dynamics has ...

Mathematicians proved in the early 1990s that randomly connecting routers produces the most efficient, resilient network topology. It took AWS roughly 30 years to turn that result into production ...

description [ICLR 2026][Learning Theory][Score Smoothing] This paper demonstrates through analytical derivations and numerical experiments that diffusion models can "create" new samples not present in ...

For decades, scientists have mapped attention, memory, language, and reasoning to separate brain networks — yet one big mystery remained: why does the mind feel like a single, unified system?

Biological systems are notoriously tough to model, especially when it comes to figuring out the axons, neurons, blood vessels, and other structural components of gray matter, or the tissue that makes ...

For more than a century, scientists have wondered why physical structures like blood vessels, neurons, tree branches, and other biological networks look the way they do. The prevailing theory held ...

For numerous fundamental processes of life, the formation of certain protein patterns is essential. Protein pattern formation controlled by molecular switches is—like many processes in nature—far ...

Abstract: Superdiffusion refers to the faster diffusion process in a multiplex network compared to that in an individual network. In this work, we study how interlayer connectivity affects the ...

Nonlinear systems and networks theory is a branch of automatic control theory. It takes systems and networks described by nonlinear differential equations or difference equations as its research ...