Rafael Mendes de Oliveira

According to our database1, Rafael Mendes de Oliveira authored at least 22 papers between 2015 and 2023.

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Bibliography

2023
Radical Sylvester-Gallai Theorem for Tuples of Quadratics.
Electron. Colloquium Comput. Complex., 2023

2022
Radical Sylvester-Gallai for Cubics.
Electron. Colloquium Comput. Complex., 2022

Robust Radical Sylvester-Gallai Theorem for Quadratics.
Electron. Colloquium Comput. Complex., 2022

2021
Near optimal sample complexity for matrix and tensor normal models via geodesic convexity.
CoRR, 2021

2020
Operator Scaling: Theory and Applications.
Found. Comput. Math., 2020

Search Problems in Algebraic Complexity, GCT, and Hardness of Generators for Invariant Rings.
Proceedings of the 35th Computational Complexity Conference, 2020

2019
Towards Optimal Depth Reductions for Syntactically Multilinear Circuits.
Electron. Colloquium Comput. Complex., 2019

Search problems in algebraic complexity, GCT, and hardness of generator for invariant rings.
Electron. Colloquium Comput. Complex., 2019

Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes.
CoRR, 2019

More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer.
Proceedings of the 60th IEEE Annual Symposium on Foundations of Computer Science, 2019

Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes.
Proceedings of the 60th IEEE Annual Symposium on Foundations of Computer Science, 2019

2018
Recent progress on scaling algorithms and applications.
Electron. Colloquium Comput. Complex., 2018

Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing.
Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018

Alternating Minimization, Scaling Algorithms, and the Null-Cone Problem from Invariant Theory.
Proceedings of the 9th Innovations in Theoretical Computer Science Conference, 2018

Efficient Algorithms for Tensor Scaling, Quantum Marginals, and Moment Polytopes.
Proceedings of the 59th IEEE Annual Symposium on Foundations of Computer Science, 2018

2017
Barriers for Rank Methods in Arithmetic Complexity.
Electron. Colloquium Comput. Complex., 2017

Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling.
Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017

Much Faster Algorithms for Matrix Scaling.
Proceedings of the 58th IEEE Annual Symposium on Foundations of Computer Science, 2017

2016
Locally testable and Locally correctable Codes Approaching the Gilbert-Varshamov Bound.
Electron. Colloquium Comput. Complex., 2016

Algorithmic aspects of Brascamp-Lieb inequalities.
CoRR, 2016

A Deterministic Polynomial Time Algorithm for Non-commutative Rational Identity Testing.
Proceedings of the IEEE 57th Annual Symposium on Foundations of Computer Science, 2016

2015
Factors of Low Individual Degree Polynomials.
Proceedings of the 30th Conference on Computational Complexity, 2015


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