Author

S. Fattahi

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Preprint Aug 2026

Coordinate Optimality Reformulation for Mixed-Integer Convex Programs with Indicators

This work develops the main components of CORe, including coordinate-wise optimality conditions, closed-form characterizations, and disjunctive reformulations, and demonstrates the framework across multiple problem families, including quadratic problems and robust single-index models.

Tong Xu, S. Fattahi, Andrés Gómez et al. · 0 citations

Preprint Aug 2026

Convexification of mixed-integer quadratic optimization via decision diagrams

A unified framework, based on decision diagrams, is proposed that serves both to solve the associated optimization problems and to construct ideal conic quadratic extended formulations of the closure of the convex hull of the underlying mixed-integer set.

Soobin Choi, S. Fattahi, Andrés Gómez et al. · 1 citation

Preprint Aug 2026

Oracle-Based Distributionally Robust Optimization under Optimal Transport Ambiguity Sets

This paper reduces the inner worst-case expectation problem exactly to a scalar budget allocation task, and embeds this procedure within an oracle-based distributional best-response framework to directly compute an approximate primal-dual solution to the overall DRO problem.

Guixian Chen, S. Fattahi, Soroosh Shafiee · 1 citation

Preprint Aug 2026

On the Absence of Identifiable Manifolds in Finite-Max Composite Optimization

In nonsmooth optimization, identifiable sets describe the local region eventually reached by sequences converging to a prescribed critical point. When such a set is a $C^2$ manifold on which the objective restricts to a $C^2$ function, it is called an identifiable manifold. Their appeal lies in what they enable: many f...

Yifan Wang, Jianhao Ma, S. Fattahi · 0 citations