Neeraj Kayal

Affiliations:
  • Microsoft Research, Bangalore, India


According to our database1, Neeraj Kayal authored at least 48 papers between 2004 and 2023.

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Bibliography

2023
Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning.
Electron. Colloquium Comput. Complex., 2023

Low-Depth Arithmetic Circuit Lower Bounds: Bypassing Set-Multilinearization.
Proceedings of the 50th International Colloquium on Automata, Languages, and Programming, 2023

2022
Low-depth arithmetic circuit lower bounds via shifted partials.
Electron. Colloquium Comput. Complex., 2022

2021
Learning generalized depth-three arithmetic circuits in the non-degenerate case.
Electron. Colloquium Comput. Complex., 2021

2020
Learning sums of powers of low-degree polynomials in the non-degenerate case.
Electron. Colloquium Comput. Complex., 2020

2019
Determinant equivalence test over finite fields and over ℚ.
Electron. Colloquium Comput. Complex., 2019

Average-case linear matrix factorization and reconstruction of low width algebraic branching programs.
Comput. Complex., 2019

2018
Guest Column: A Paradigm for Arithmetic Circuit Lower Bounds.
SIGACT News, 2018

Reconstruction of non-degenerate homogeneous depth three circuits.
Electron. Colloquium Comput. Complex., 2018

2017
An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas.
SIAM J. Comput., 2017

Multi-k-ic Depth Three Circuit Lower Bound.
Theory Comput. Syst., 2017

Reconstruction of full rank Algebraic Branching Programs.
Electron. Colloquium Comput. Complex., 2017

Unexpected power of low-depth arithmetic circuits.
Commun. ACM, 2017

2016
Arithmetic Circuits: A Chasm at Depth 3.
SIAM J. Comput., 2016

An almost Cubic Lower Bound for Depth Three Arithmetic Circuits.
Electron. Colloquium Comput. Complex., 2016

Lower Bounds for Depth-Three Arithmetic Circuits with small bottom fanin.
Comput. Complex., 2016

2015
On the size of homogeneous and of depth four formulas with low individual degree.
Electron. Colloquium Comput. Complex., 2015

Lower Bounds for Sums of Products of Low arity Polynomials.
Electron. Colloquium Comput. Complex., 2015

Multi-<i>k</i>-ic depth three circuit lower bound.
Electron. Colloquium Comput. Complex., 2015

Separation between Read-once Oblivious Algebraic Branching Programs (ROABPs) and Multilinear Depth Three Circuits.
Electron. Colloquium Comput. Complex., 2015

Lower Bounds for Sums of Powers of Low Degree Univariates.
Proceedings of the Automata, Languages, and Programming - 42nd International Colloquium, 2015

2014
Approaching the Chasm at Depth Four.
J. ACM, 2014

Random arithmetic formulas can be reconstructed efficiently.
Comput. Complex., 2014

Super-polynomial lower bounds for depth-4 homogeneous arithmetic formulas.
Proceedings of the Symposium on Theory of Computing, 2014

Arithmetic Circuit Complexity (Tutorial).
Proceedings of the 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014), 2014

2013
A super-polynomial lower bound for regular arithmetic formulas.
Electron. Colloquium Comput. Complex., 2013

Arithmetic circuits: A chasm at depth three.
Electron. Colloquium Comput. Complex., 2013

2012
An exponential lower bound for the sum of powers of bounded degree polynomials.
Electron. Colloquium Comput. Complex., 2012

An exponential lower bound for homogeneous depth four arithmetic circuits with bounded bottom fanin.
Electron. Colloquium Comput. Complex., 2012

Affine projections of polynomials: extended abstract.
Proceedings of the 44th Symposium on Theory of Computing Conference, 2012

Reconstruction of depth-4 multilinear circuits with top fan-in 2.
Proceedings of the 44th Symposium on Theory of Computing Conference, 2012

2011
Partial Derivatives in Arithmetic Complexity and Beyond.
Found. Trends Theor. Comput. Sci., 2011

Affine projections of polynomials.
Electron. Colloquium Comput. Complex., 2011

Reconstruction of Depth-4 Multilinear Circuits with Top fanin 2.
Electron. Colloquium Comput. Complex., 2011

Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant
CoRR, 2011

Efficient algorithms for some special cases of the polynomial equivalence problem.
Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms, 2011

Efficient Reconstruction of Random Multilinear Formulas.
Proceedings of the IEEE 52nd Annual Symposium on Foundations of Computer Science, 2011

2010
On the Sum of Square Roots of Polynomials and related problems.
Electron. Colloquium Comput. Complex., 2010

Algorithms for Arithmetic Circuits.
Electron. Colloquium Comput. Complex., 2010

2009
Blackbox Polynomial Identity Testing for Depth 3 Circuits.
Electron. Colloquium Comput. Complex., 2009

The Complexity of the Annihilating Polynomial.
Proceedings of the 24th Annual IEEE Conference on Computational Complexity, 2009

2008
Factoring groups efficiently.
Electron. Colloquium Comput. Complex., 2008

2007
Polynomial Identity Testing for Depth 3 Circuits.
Comput. Complex., 2007

2006
Complexity of Ring Morphism Problems.
Comput. Complex., 2006

2005
Recognizing permutation functions in polynomial time.
Electron. Colloquium Comput. Complex., 2005

Solvability of a System of Bivariate Polynomial Equations over a Finite Field.
Proceedings of the Automata, Languages and Programming, 32nd International Colloquium, 2005

On the Ring Isomorphism and Automorphism Problems.
Proceedings of the 20th Annual IEEE Conference on Computational Complexity (CCC 2005), 2005

2004
On the Ring Isomorphism & Automorphism Problems
Electron. Colloquium Comput. Complex., 2004


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