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Jacobian Hits Circuits: Hitting Sets, Lower Bounds for Depth-D Occur-k Formulas and Depth-3 Transcendence Degree-k Circuits.

, , , and . SIAM J. Comput., 45 (4): 1533-1562 (2016)

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Identity Testing and Lower Bounds for Read-k Oblivious Algebraic Branching Programs., , , , and . ACM Trans. Comput. Theory, 10 (1): 3:1-3:30 (2018)Jacobian hits circuits: hitting-sets, lower bounds for depth-D occur-k formulas & depth-3 transcendence degree-k circuits., , , and . STOC, page 599-614. ACM, (2012)An exponential lower bound for homogeneous depth-5 circuits over finite fields., and . Electron. Colloquium Comput. Complex., (2015)On the Existence of Algebraically Natural Proofs., , , , and . FOCS, page 870-880. IEEE, (2020)Arithmetic Circuits: A Chasm at Depth 3., , , and . SIAM J. Comput., 45 (3): 1064-1079 (2016)An Exponential Lower Bound for Homogeneous Depth-5 Circuits over Finite Fields., and . CCC, volume 79 of LIPIcs, page 31:1-31:30. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2017)Hitting sets for multilinear read-once algebraic branching programs, in any order., , and . STOC, page 867-875. ACM, (2014)Derandomization from Algebraic Hardness: Treading the Borders., , , and . FOCS, page 147-157. IEEE Computer Society, (2019)Towards Deterministic Algorithms for Constant-Depth Factors of Constant-Depth Circuits., , , and . Electron. Colloquium Comput. Complex., (2024)Towards Optimal Depth Reductions for Syntactically Multilinear Circuits., , and . ICALP, volume 132 of LIPIcs, page 78:1-78:15. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2019)