2 citations · 2 across the 7 of their papers we have counts for
11 papers
State-driven Implicit Modeling for Sparsity and Robustness in Neural Networks
Alicia Y. Tsai, Juliette Decugis, Laurent El Ghaoui +1
Implicit models are a general class of learning models that forgo the hierarchical layer structure typical in neural networks and instead define the internal states based on an ``e…
Enhanced Modeling of Contingency Response in Security-constrained Optimal Power Flow
Tuncay Altun, Ramtin Madani, Alper Atamturk +2
This paper provides an enhanced modeling of the contingency response that collectively reflects high-fidelity physical and operational characteristics of power grids. Integrating a…
Supermodularity and valid inequalities for quadratic optimization with indicators
Alper Atamturk, Andres Gomez
We study the minimization of a rank-one quadratic with indicators and show that the underlying set function obtained by projecting out the continuous variables is supermodular. Alt…
Penalized Semidefinite Programming for Quadratically-Constrained Quadratic Optimization
Ramtin Madani, Mohsen Kheirandishfard, Javad Lavaei +1
In this paper, we give a new penalized semidefinite programming approach for non-convex quadratically-constrained quadratic programs (QCQPs). We incorporate penalty terms into the…
Submodular Function Minimization and Polarity
Alper Atamturk, Vishnu Narayanan
Using polarity, we give an outer polyhedral approximation for the epigraph of set functions. For a submodular function, we prove that the corresponding polar relaxation is exact; h…
Rank-one Convexification for Sparse Regression
Alper Atamturk, Andres Gomez
Sparse regression models are increasingly prevalent due to their ease of interpretability and superior out-of-sample performance. However, the exact model of sparse regression with…