A. Barghi

collaborators

2 papers

math.OC2026

The Coercive Projection Theorem for Canonical Reciprocal Costs

Jonathan Washburn, Amir Rahnamai Barghi

We develop a finite-data framework for certifying \emph{zero-defect} (neutral) configurations of positive vectors under the canonical separable reciprocal cost. We show that this s…

math.OC2026

Reciprocal Convex Costs for Ratio Matching: Functional-Equation Characterization and Decision Geometry

Jonathan Washburn, Amir Rahnamai Barghi

We study ratio-induced mismatch costs of the form $c (s, o) = J (I^_{S}^{1} (s) / I^_{O}^{1} (o))$ , built from positive scale maps $I^_{S}^{1} : S \to (0, \infty)$ and $I^_{O}^{1} : O \to (0, \infty)$ and a penalty $J:(0,\i…