Rafael Oliveira

Orcid: 0000-0001-8917-8689

Affiliations:
  • University of Waterloo, ON, Canada
  • Princeton University, Department of Computer Science, Princeton, NJ, USA (former)


According to our database1, Rafael Oliveira authored at least 34 papers between 2014 and 2025.

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Bibliography

2025
Rank Bounds and PIT for Σ<sup>3</sup> ΠΣΠ<sup>d</sup> circuits via a non-linear Edelstein-Kelly theorem.
CoRR, April, 2025

Rank Bounds and PIT for $\Sigma^3 \Pi \Sigma \Pi^d$ circuits via a non-linear Edelstein-Kelly theorem.
Electron. Colloquium Comput. Complex., 2025

Primes via Zeros: Interactive Proofs for Testing Primality of Natural Classes of Ideals.
Proceedings of the 57th Annual ACM Symposium on Theory of Computing, 2025

Uniform Bounds on Product Sylvester-Gallai Configurations.
Proceedings of the 41st International Symposium on Computational Geometry, 2025

2024
Strong Algebras and Radical Sylvester-Gallai Configurations.
Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024

2023
Radical Sylvester-Gallai Theorem for Tuples of Quadratics.
Proceedings of the 38th Computational Complexity Conference, 2023

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

Radical Sylvester-Gallai Theorem for Cubics.
Proceedings of the 63rd IEEE Annual Symposium on Foundations of Computer Science, 2022

Robust Radical Sylvester-Gallai Theorem for Quadratics.
Proceedings of the 38th International Symposium on Computational Geometry, 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

Conditional lower bounds on the spectrahedral representation of explicit hyperbolicity cones.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

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

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

Towards Optimal Depth Reductions for Syntactically Multilinear Circuits.
Proceedings of the 46th International Colloquium on Automata, Languages, and Programming, 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

Barriers for Rank Methods in Arithmetic Complexity.
Proceedings of the 9th Innovations in Theoretical Computer Science Conference, 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
Polynomial Identity Testing: Derandomization Results and Applications to Algebraic Computation
PhD thesis, 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

Locally Testable and Locally Correctable Codes Approaching the Gilbert-Varshamov Bound.
Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, 2017

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

2016
Algorithmic aspects of Brascamp-Lieb inequalities.
CoRR, 2016

Rank bounds for design matrices with block entries and geometric applications.
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
Subexponential Size Hitting Sets for Bounded Depth Multilinear Formulas.
Proceedings of the 30th Conference on Computational Complexity, 2015

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

2014
Factors of Sparse Polynomials are Sparse.
Electron. Colloquium Comput. Complex., 2014

Testing Equivalence of Polynomials under Shifts.
Proceedings of the Automata, Languages, and Programming - 41st International Colloquium, 2014


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