2 papers
math.RA2026
Similarity Algebra: A Framework for Approximate Algebraic and Lie Structures with Collapse to Classical Algebra
Benyamin Ghojogh, Golbahar Amanpour
Classical algebraic structures require exact satisfaction of their defining axioms. We propose similarity algebra, a framework extending algebraic and Lie structures to settings wh…
cs.LG2026
Wittgenstein's Family Resemblance Clustering Algorithm
Golbahar Amanpour, Benyamin Ghojogh
This paper, introducing a novel method in philomatics, draws on Wittgenstein's concept of family resemblance from analytic philosophy to develop a clustering algorithm for machine…