In this study, we define a n × n tridiagonal matrix which have elements of (s, t)-Pell numbers and then investigate the determinantal properties.

We introduce the central Fubini-like numbers and polynomials using Rota approach. Several identities properties are established as generating functions, recurrences, explicit formulas, parity, asymptotics determinantal representation.

Determinantal point processes (DPPs), which arise in random matrix theory and quantum physics, are natural models for subset selection problems where diversity is preferred. Among many remarkable properties, DPPs other tractable algorithms for exact inference, including computing marginal probabilities and sampling; however, an important open question has been how to learn a DPP from labeled tr...

Determinantal Point Processes (DPPs) are probabilistic models over all subsets a ground set of N items. They have recently gained prominence in several applications that rely on “diverse” subsets. However, their applicability to large problems is still limited due to theO(N) complexity of core tasks such as sampling and learning. We enable efficient sampling and learning for DPPs by introducing...