Shachar Lovett

Orcid: 0000-0003-4552-1443

Affiliations:
  • University of California at San Diego, La Jolla, CA, USA


According to our database1, Shachar Lovett authored at least 148 papers between 2007 and 2025.

Collaborative distances:
  • Dijkstra number2 of three.
  • Erdős number3 of two.

Timeline

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Bibliography

2025
The Log-Rank Conjecture: New Equivalent Formulations.
CoRR, October, 2025

Quasipolynomial bounds for the corners theorem.
Electron. Colloquium Comput. Complex., 2025

Exact versus Approximate Representations of Boolean Functions in the De Morgan Basis.
Electron. Colloquium Comput. Complex., 2025

List Decoding Quotient Reed-Muller Codes.
Proceedings of the 40th Computational Complexity Conference, 2025

Do PAC-Learners Learn the Marginal Distribution?
Proceedings of the International Conference on Algorithmic Learning Theory, 2025

2024
Corners in Quasirandom Groups via Sparse Mixing.
Electron. Colloquium Comput. Complex., 2024

Explicit Separations between Randomized and Deterministic Number-on-Forehead Communication.
Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024

New Graph Decompositions and Combinatorial Boolean Matrix Multiplication Algorithms.
Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024

Refuting Approaches to the Log-Rank Conjecture for XOR Functions.
Proceedings of the 51st International Colloquium on Automata, Languages, and Programming, 2024

2023
Bias vs Structure of Polynomials in Large Fields, and Applications in Information Theory.
IEEE Trans. Inf. Theory, February, 2023

Sampling Equilibria: Fast No-Regret Learning in Structured Games.
Proceedings of the 2023 ACM-SIAM Symposium on Discrete Algorithms, 2023

Fractional Certificates for Bounded Functions.
Proceedings of the 14th Innovations in Theoretical Computer Science Conference, 2023

Streaming Lower Bounds and Asymmetric Set-Disjointness.
Proceedings of the 64th IEEE Annual Symposium on Foundations of Computer Science, 2023

Exponential Hardness of Reinforcement Learning with Linear Function Approximation.
Proceedings of the Thirty Sixth Annual Conference on Learning Theory, 2023

2022
Sunflowers and Robust Sunflowers from Randomness Extractors.
Theory Comput., 2022

Computational-Statistical Gaps in Reinforcement Learning.
CoRR, 2022

Hypercontractivity on high dimensional expanders.
Proceedings of the STOC '22: 54th Annual ACM SIGACT Symposium on Theory of Computing, Rome, Italy, June 20, 2022

High Dimensional Expanders: Eigenstripping, Pseudorandomness, and Unique Games.
Proceedings of the 2022 ACM-SIAM Symposium on Discrete Algorithms, 2022

Lifting with Sunflowers.
Proceedings of the 13th Innovations in Theoretical Computer Science Conference, 2022

Computational-Statistical Gap in Reinforcement Learning.
Proceedings of the Conference on Learning Theory, 2-5 July 2022, London, UK., 2022

Realizable Learning is All You Need.
Proceedings of the Conference on Learning Theory, 2-5 July 2022, London, UK., 2022

Eigenstripping, Spectral Decay, and Edge-Expansion on Posets.
Proceedings of the Approximation, 2022

2021
Guest Column: Models of computation between decision trees and communication.
SIGACT News, 2021

Sparse MDS Matrices over Small Fields: A Proof of the GM-MDS Conjecture.
SIAM J. Comput., 2021

Hypercontractivity on High Dimensional Expanders: a Local-to-Global Approach for Higher Moments.
Electron. Colloquium Comput. Complex., 2021

Log-rank and lifting for AND-functions.
Proceedings of the STOC '21: 53rd Annual ACM SIGACT Symposium on Theory of Computing, 2021

Bilinear Classes: A Structural Framework for Provable Generalization in RL.
Proceedings of the 38th International Conference on Machine Learning, 2021

Bounded Memory Active Learning through Enriched Queries.
Proceedings of the Conference on Learning Theory, 2021

Fractional Pseudorandom Generators from Any Fourier Level.
Proceedings of the 36th Computational Complexity Conference, 2021

Singularity of Random Integer Matrices with Large Entries.
Proceedings of the Approximation, 2021

2020
Improved lifting theorems via robust sunflowers.
Electron. Colloquium Comput. Complex., 2020

Codes over integers, and the singularity of random matrices with large entries.
Electron. Colloquium Comput. Complex., 2020

High Dimensional Expanders: Random Walks, Pseudorandomness, and Unique Games.
Electron. Colloquium Comput. Complex., 2020

Decision list compression by mild random restrictions.
Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing, 2020

XOR lemmas for resilient functions against polynomials.
Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing, 2020

Improved bounds for the sunflower lemma.
Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing, 2020

The Power of Comparisons for Actively Learning Linear Classifiers.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

Towards a Combinatorial Characterization of Bounded-Memory Learning.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

Point Location and Active Learning: Learning Halfspaces Almost Optimally.
Proceedings of the 61st IEEE Annual Symposium on Foundations of Computer Science, 2020

Noise-tolerant, Reliable Active Classification with Comparison Queries.
Proceedings of the Conference on Learning Theory, 2020

Sign Rank vs Discrepancy.
Proceedings of the 35th Computational Complexity Conference, 2020

2019
Higher-order Fourier Analysis and Applications.
Found. Trends Theor. Comput. Sci., 2019

DNF sparsification beyond sunflowers.
Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 2019

Pseudorandom Generators from the Second Fourier Level and Applications to AC0 with Parity Gates.
Proceedings of the 10th Innovations in Theoretical Computer Science Conference, 2019

Torus Polynomials: An Algebraic Approach to ACC Lower Bounds.
Proceedings of the 10th Innovations in Theoretical Computer Science Conference, 2019

From DNF Compression to Sunflower Theorems via Regularity.
Proceedings of the 34th Computational Complexity Conference, 2019

Optimality of Linear Sketching Under Modular Updates.
Proceedings of the 34th Computational Complexity Conference, 2019

Equality Alone Does not Simulate Randomness.
Proceedings of the 34th Computational Complexity Conference, 2019

2018
Special Issue: CCC 2017: Guest Editor's Foreword.
Theory Comput., 2018

A proof of the GM-MDS conjecture.
Electron. Colloquium Comput. Complex., 2018

A bilinear Bogolyubov-Ruzsa lemma with poly-logarithmic bounds.
Electron. Colloquium Comput. Complex., 2018

Near-optimal linear decision trees for k-SUM and related problems.
Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018

The gram-schmidt walk: a cure for the Banaszczyk blues.
Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018

The Robust Sensitivity of Boolean Functions.
Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms, 2018

Probabilistic Existence of Large Sets of Designs.
Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms, 2018

Generalized Comparison Trees for Point-Location Problems.
Proceedings of the 45th International Colloquium on Automata, Languages, and Programming, 2018

MDS Matrices over Small Fields: A Proof of the GM-MDS Conjecture.
Proceedings of the 59th IEEE Annual Symposium on Foundations of Computer Science, 2018

Pseudorandom Generators from Polarizing Random Walks.
Proceedings of the 33rd Computational Complexity Conference, 2018

Hardness Amplification for Non-Commutative Arithmetic Circuits.
Proceedings of the 33rd Computational Complexity Conference, 2018

Sunflowers and Quasi-Sunflowers from Randomness Extractors.
Proceedings of the Approximation, 2018

2017
Additive Combinatorics and its Applications in Theoretical Computer Science.
Theory Comput., 2017

On the structure of the spectrum of small sets.
J. Comb. Theory A, 2017

Labeling the complete bipartite graph with no zero cycles.
Electron. Colloquium Comput. Complex., 2017

On the Impossibility of Entropy Reversal, and Its Application to Zero-Knowledge Proofs.
Proceedings of the Theory of Cryptography - 15th International Conference, 2017

The Independence Number of the Birkhoff Polytope Graph, and Applications to Maximally Recoverable Codes.
Proceedings of the 58th IEEE Annual Symposium on Foundations of Computer Science, 2017

Active Classification with Comparison Queries.
Proceedings of the 58th IEEE Annual Symposium on Foundations of Computer Science, 2017

Noisy Population Recovery from Unknown Noise.
Proceedings of the 30th Conference on Learning Theory, 2017

2016
Robust sensitivity.
Electron. Colloquium Comput. Complex., 2016

The Fourier structure of low degree polynomials.
Electron. Colloquium Comput. Complex., 2016

Structure of protocols for XOR functions.
Electron. Colloquium Comput. Complex., 2016

Algebraic attacks against random local functions and their countermeasures.
Proceedings of the 48th Annual ACM SIGACT Symposium on Theory of Computing, 2016

Affine-malleable extractors, spectrum doubling, and application to privacy amplification.
Proceedings of the IEEE International Symposium on Information Theory, 2016

Structure of Protocols for XOR Functions.
Proceedings of the IEEE 57th Annual Symposium on Foundations of Computer Science, 2016

On the Beck-Fiala Conjecture for Random Set Systems.
Proceedings of the Approximation, 2016

Towards a Constructive Version of Banaszczyk's Vector Balancing Theorem.
Proceedings of the Approximation, 2016

2015
A tail bound for read-<i>k</i> families of functions.
Random Struct. Algorithms, 2015

Bias vs structure of polynomials in large fields, and applications in effective algebraic geometry and coding theory.
Electron. Colloquium Comput. Complex., 2015

Improved Noisy Population Recovery, and Reverse Bonami-Beckner Inequality for Sparse Functions.
Proceedings of the Forty-Seventh Annual ACM on Symposium on Theory of Computing, 2015

Rectangles Are Nonnegative Juntas.
Proceedings of the Forty-Seventh Annual ACM on Symposium on Theory of Computing, 2015

The List Decoding Radius of Reed-Muller Codes over Small Fields.
Proceedings of the Forty-Seventh Annual ACM on Symposium on Theory of Computing, 2015

Nonclassical Polynomials as a Barrier to Polynomial Lower Bounds.
Proceedings of the 30th Conference on Computational Complexity, 2015

Large Supports are Required for Well-Supported Nash Equilibria.
Proceedings of the Approximation, 2015

2014
Correlation Testing for Affine Invariant Properties on 픽<sub>p<sup>n</sup></sub> in the High Error Regime.
SIAM J. Comput., 2014

The Freiman-Ruzsa theorem over finite fields.
J. Comb. Theory A, 2014

Group representations that resist random sampling.
Electron. Colloquium Comput. Complex., 2014

Linear codes cannot approximate the network capacity within any constant factor.
Electron. Colloquium Comput. Complex., 2014

Recent advances on the log-rank conjecture in communication complexity.
Electron. Colloquium Comput. Complex., 2014

0-1 Integer Linear Programming with a Linear Number of Constraints.
Electron. Colloquium Comput. Complex., 2014

General systems of linear forms: equidistribution and true complexity.
Electron. Colloquium Comput. Complex., 2014

List decoding Reed-Muller codes over small fields.
Electron. Colloquium Comput. Complex., 2014

Variety Evasive Sets.
Comput. Complex., 2014

Communication is bounded by root of rank.
Proceedings of the Symposium on Theory of Computing, 2014

Non-malleable codes from additive combinatorics.
Proceedings of the Symposium on Theory of Computing, 2014

En Route to the Log-Rank Conjecture: New Reductions and Equivalent Formulations.
Proceedings of the Automata, Languages, and Programming - 41st International Colloquium, 2014

Cooperative weakest link games.
Proceedings of the International conference on Autonomous Agents and Multi-Agent Systems, 2014

2013
A Space Lower Bound for Dynamic Approximate Membership Data Structures.
SIAM J. Comput., 2013

Nontrivial t-designs over finite fields exist for all t.
Electron. Colloquium Comput. Complex., 2013

Probabilistic existence of regular combinatorial structures
CoRR, 2013

New bounds for matching vector families.
Proceedings of the Symposium on Theory of Computing Conference, 2013

Every locally characterized affine-invariant property is testable.
Proceedings of the Symposium on Theory of Computing Conference, 2013

Testing Low Complexity Affine-Invariant Properties.
Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, 2013

Estimating the Distance from Testable Affine-Invariant Properties.
Proceedings of the 54th Annual IEEE Symposium on Foundations of Computer Science, 2013

2012
An exposition of Sanders quasi-polynomial Freiman-Ruzsa theorem.
Electron. Colloquium Comput. Complex., 2012

A Tail Bound for Read-k Families of Functions.
Electron. Colloquium Comput. Complex., 2012

The Freiman-Ruzsa Theorem in Finite Fields.
Electron. Colloquium Comput. Complex., 2012

New Lower Bounds for Matching Vector Codes.
Electron. Colloquium Comput. Complex., 2012

Equivalence of polynomial conjectures in additive combinatorics.
Comb., 2012

Probabilistic existence of rigid combinatorial structures.
Proceedings of the 44th Symposium on Theory of Computing Conference, 2012

Subspace evasive sets.
Proceedings of the 44th Symposium on Theory of Computing Conference, 2012

Constructive Discrepancy Minimization by Walking on the Edges.
Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science, 2012

An Additive Combinatorics Approach Relating Rank to Communication Complexity.
Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science, 2012

Large Deviation Bounds for Decision Trees and Sampling Lower Bounds for AC0-Circuits.
Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science, 2012

Unsupervised SVMs: On the Complexity of the Furthest Hyperplane Problem.
Proceedings of the COLT 2012, 2012

Pseudorandom Generators for Read-Once ACC^0.
Proceedings of the 27th Conference on Computational Complexity, 2012

Almost K-Wise vs. K-Wise Independent Permutations, and Uniformity for General Group Actions.
Proceedings of the Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2012

2011
Computing polynomials with few multiplications.
Electron. Colloquium Comput. Complex., 2011

Linear systems over abelian groups.
Electron. Colloquium Comput. Complex., 2011

An additive combinatorics approach to the log-rank conjecture in communication complexity.
Electron. Colloquium Comput. Complex., 2011

On the Furthest Hyperplane Problem and Maximal Margin Clustering
CoRR, 2011

Correlation Testing for Affine Invariant Properties on $\mathbb{F}_p^n$ in the High Error Regime
CoRR, 2011

Correlation testing for affine invariant properties on F<sub>p</sub><sup>n</sup> in the high error regime.
Proceedings of the 43rd ACM Symposium on Theory of Computing, 2011

New Extension of the Weil Bound for Character Sums with Applications to Coding.
Proceedings of the IEEE 52nd Annual Symposium on Foundations of Computer Science, 2011

Bounded-Depth Circuits Cannot Sample Good Codes.
Proceedings of the 26th Annual IEEE Conference on Computational Complexity, 2011

Linear Systems over Finite Abelian Groups.
Proceedings of the 26th Annual IEEE Conference on Computational Complexity, 2011

Correlation Bounds for Poly-size $\mbox{\rm AC}^0$ Circuits with n 1 - o(1) Symmetric Gates.
Proceedings of the Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2011

2010
Holes in generalized Reed-Muller codes.
IEEE Trans. Inf. Theory, 2010

Pseudorandom generators for CC<sub>0</sub>[p] and the Fourier spectrum of low-degree polynomials over finite fields.
Electron. Colloquium Comput. Complex., 2010

An elementary proof of anti-concentration of polynomials in Gaussian variables.
Electron. Colloquium Comput. Complex., 2010

Testing of exponentially large codes, by a new extension to Weil bound for character sums.
Electron. Colloquium Comput. Complex., 2010

Higher-order Fourier analysis of F<sub>p</sub><sup>n</sup> and the complexity of systems of linear forms.
Electron. Colloquium Comput. Complex., 2010

Weight Distribution and List-Decoding Size of Reed-Muller Codes.
Proceedings of the Innovations in Computer Science, 2010

A Lower Bound for Dynamic Approximate Membership Data Structures.
Proceedings of the 51th Annual IEEE Symposium on Foundations of Computer Science, 2010

Pseudorandom Generators for CC0[p] and the Fourier Spectrum of Low-Degree Polynomials over Finite Fields.
Proceedings of the 51th Annual IEEE Symposium on Foundations of Computer Science, 2010

2009
Explicit lower bound for fooling polynomials by the sum of small-bias generators.
Electron. Colloquium Comput. Complex., 2009

Title: Polynomial Threshold Functions: Structure, Approximation and Pseudorandomness.
Electron. Colloquium Comput. Complex., 2009

The density of weights of Generalized Reed-Muller codes.
Electron. Colloquium Comput. Complex., 2009

Polynomial Threshold Functions: Structure, Approximation and Pseudorandomness
CoRR, 2009

On cryptography with auxiliary input.
Proceedings of the 41st Annual ACM Symposium on Theory of Computing, 2009

On the Complexity of Boolean Functions in Different Characteristics.
Proceedings of the 24th Annual IEEE Conference on Computational Complexity, 2009

Pseudorandom Bit Generators That Fool Modular Sums.
Proceedings of the Approximation, 2009

Random Low Degree Polynomials are Hard to Approximate.
Proceedings of the Approximation, 2009

2008
The List-Decoding Size of Reed-Muller Codes.
Electron. Colloquium Comput. Complex., 2008

Inverse conjecture for the gowers norm is false.
Proceedings of the 40th Annual ACM Symposium on Theory of Computing, 2008

Unconditional pseudorandom generators for low degree polynomials.
Proceedings of the 40th Annual ACM Symposium on Theory of Computing, 2008

Lower bounds for adaptive linearity tests.
Proceedings of the 25th Annual Symposium on Theoretical Aspects of Computer Science, 2008

Worst Case to Average Case Reductions for Polynomials.
Proceedings of the 49th Annual IEEE Symposium on Foundations of Computer Science, 2008

2007
Almost Euclidean sections of the N-dimensional cross-polytope using O(N) random bits.
Electron. Colloquium Comput. Complex., 2007

Tight lower bounds for adaptive linearity tests.
Electron. Colloquium Comput. Complex., 2007


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