Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

SIMPLE aerodynamic configurations under even modest conditions can exhibit complex
flows with a wide range of temporal and spatial features. It has become common practice in …

A bstract Inspired by the universal operator growth hypothesis, we extend the formalism of
Krylov construction in dissipative open quantum systems connected to a Markovian bath …

We establish the convergence of a class of numerical algorithms, known as dynamic mode
decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite …

Compact and efficient Matlab implementations of compliance topology optimization (TO) for
2D and 3D continua are given, consisting of 99 and 125 lines respectively. On …

Quantum computers promise to efficiently solve important problems that are intractable on a
conventional computer. For quantum systems, where the physical dimension grows …

In statistical relational learning, knowledge graph completion deals with automatically
understanding the structure of large knowledge graphs--labeled directed graphs--and …

Many multivariate functions in engineering models vary primarily along a few directions in
the space of input parameters. When these directions correspond to coordinate directions …

We study the problem of selecting the best sampling set for bandlimited reconstruction of
signals on graphs. A frequency domain representation for graph signals can be defined …

The ability to adapt to stimuli is a defining feature of many biological systems and critical to
maintaining homeostasis. While it is well appreciated that negative feedback can be used to …