4 papers
From Triangular Array Progression to Near-Log-Concave State Transitions
Levent Ali Mengütürk, Levent Ali Mengütürk
The paper introduces an infinite integer sequence progression that produces a triangular array where the th row sums to for every . Every row of the triangular arr…
Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc
Levent Ali Mengütürk, 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…