5 papers
From Triangular Array Progression to Near-Log-Concave State Transitions
Levent Ali Mengütürk
The paper introduces near-log-concave random variables and the state-transitions of a family of Markov chains derived from an algorithmic integer sequence progression. We propose a…
Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc
Levent Ali Mengütürk
The paper presents a statistical geometric duality between the spherical squared-Hellinger distance and a hyperbolic isometric invariant of the Poincare disc under the action of th…
Random-Bridges as Stochastic Transports for Generative Models
Stefano Goria, Levent A. Mengütürk, Murat C. Mengütürk +1
This paper motivates the use of random-bridges -- stochastic processes conditioned to take target distributions at fixed timepoints -- in the realm of generative modelling. Herein,…
Martingale Projections and Quantum Decoherence
Lane P. Hughston, Levent A. Mengütürk
We introduce so-called super/sub-martingale projections as a family of endomorphisms defined on unions of Polish spaces. Such projections allow us to identify martingales as collec…
Archimedean Survival Processes
Edward Hoyle, Levent Ali Menguturk
Archimedean copulas are popular in the world of multivariate modelling as a result of their breadth, tractability, and flexibility. A. J. McNeil and J. Nešlehová (2009) showed that…