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Consider the action of a connected complex reductive group on a finite-dimensional vector space.
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Ryan O’Donnell and John Wright, Efficient quantum tomography , Proceedings of the forty-eighth annual ACM symposium on Theory of Computing, 2016, pp. 899–912
2016
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by same author, Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling , Proceedings of the Symposium on the Theory of Computing (STOC 2017), ACM, 2017, pp. 397–409
2017
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Peter Bürgisser, Cole Franks, Ankit Garg, Rafael Oliveira, Michael Walter, and Avi Wigderson, Efficient algorithms for tensor scaling, quantum marginals and moment polytopes , 59th Annual Symposium on Foundations of Computer Science (FOCS 2018), 2018, pp. 883–897
2018
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Peter Bürgisser, Ankit Garg, Rafael Oliveira, Michael Walter, and Avi Wigderson, Alternating minimization, scaling algorithms, and the null-cone problem from invariant theory , 9th Innovations in Theoretical Computer Science Conference (ITCS 2018), Leibniz International Proceedings in Informatics (LIPIcs), vol. 94, 2018, pp. 24:1–24:20
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by same author, Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes , 60th Annual Symposium on Foundations of Computer Science (FOCS 2019), 2019, pp. 845–861
2019
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Alonso Botero, Matthias Christandl, and Péter Vrana, Large deviation principle for moment map estimation , 2020, in preparation
2020
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Olga Postnova and Nicolai Reshetikhin, On multiplicities of irreducibles in large tensor product of representations of simple lie algebras , Letters in Mathematical Physics 110
2020
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