R
Robert M. Freund
Researcher at Massachusetts Institute of Technology
Publications - 132
Citations - 8537
Robert M. Freund is an academic researcher from Massachusetts Institute of Technology. The author has contributed to research in topics: Convex optimization & Linear programming. The author has an hindex of 33, co-authored 129 publications receiving 8056 citations. Previous affiliations of Robert M. Freund include Stanford University & University of Michigan.
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A Geometric Analysis of Renegar's Condition Number, and its Interplay with Conic Curvature
TL;DR: In this paper, it was shown that Renegar's condition number is bounded from above and below by certain purely geometric quantities associated with A and K, and highlighted the role of the singular values of A and their relationship with the condition number.
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An Efficient Re-Scaled Perceptron Algorithm for Conic Systems
TL;DR: Dunagan and Vempala as mentioned in this paper developed a re-scaled version of the perceptron algorithm with an improved complexity of O(n ln(1/T)) which is theoretically efficient in T, and in particular is polynomial-time in the bit-length model.
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Robust topology optimization of three-dimensional photonic-crystal band-gap structures
TL;DR: This work performs full 3D topology optimization of photonic-crystal structures in order to find optimal omnidirectional band gaps for various symmetry groups, including fcc, bcc, and simple-cubic lattices, and shows that the resulting band gaps have increased robustness to systematic fabrication errors.
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On Two Measures of Problem Instance Complexity and their Correlation with the Performance of SeDuMi on Second-Order Cone Problems
Zhi Cai,Robert M. Freund +1 more
TL;DR: In this article, the authors evaluate the practical relevance of two measures of conic convex problem complexity as applied to second-order cone problems solved using the homogeneous self-dual (HSD) embedding model in the software SeDuMi.
A Binary Optimization Method for Linear Metamaterial Design Optimization
TL;DR: It is shown herein that binary optimization combined with a reduced basis approach can relatively efficiently produce very good solutions to metamaterial design problems of interest.