2 citations · 2 across the 4 of their papers we have counts for
4 papers
Brownian motion: the hyperbolic number setting
Daniel Alpay, Ilwoo Cho, Liora Mayats-Alpay
The purpose of this paper is to define normal Gaussian variables in the setting of hyperbolic probabilities, and introduce an associated Brownian motion, when both the index and th…
Similarity metrics, metrics, and conditionally negative definite functions
Daniel Alpay, Liora Mayats-Alpay
Similarity metric which is not positive definite, and present a general theorem which provides a large family of similarity metrics which are positive definite.
Betweenness of membership functions: classical case and hyperbolic-valued functions
Daniel Alpay, Liora Mayats-Alpay
We study betweenness of membership functions in the fuzzy setting and for membership functions taking values in the set of hyperbolic numbers.
Artificial Intelligence for Automatic Detection and Classification Disease on the X-Ray Images
Liora Mayats-Alpay
Detecting and classifying diseases using X-ray images is one of the more challenging core tasks in the medical and research world. Due to the recent high interest in radiological i…