Articles under category:
Complexity Theory
Complexity Theory
ToC Library Graduate Surveys 9 (2020) 100 pages
A Survey on Distribution Testing: Your Data is Big. But is it Blue?
by Clément L. Canonne
A Survey on Distribution Testing: Your Data is Big. But is it Blue?
by Clément L. Canonne
ToC Library Graduate Surveys 8 (2017) 55 pages
Additive Combinatorics and its Applications in Theoretical Computer Science
by Shachar Lovett
Additive Combinatorics and its Applications in Theoretical Computer Science
by Shachar Lovett
ToC Library Graduate Surveys 7 (2016) 81 pages
A Survey of Quantum Property Testing
by Ashley Montanaro and Ronald de Wolf
A Survey of Quantum Property Testing
by Ashley Montanaro and Ronald de Wolf
ToC Library Graduate Surveys 4 (2011) 27 pages
Variations on the Sensitivity Conjecture
by Pooya Hatami, Raghav Kulkarni, and Denis Pankratov
Variations on the Sensitivity Conjecture
by Pooya Hatami, Raghav Kulkarni, and Denis Pankratov
ToC Library Graduate Surveys 3 (2011) 15 pages
Selected Results in Additive Combinatorics: An Exposition
by Emanuele Viola
Selected Results in Additive Combinatorics: An Exposition
by Emanuele Viola
ToC Library Graduate Surveys 1 (2008) 20 pages
A Brief Introduction to Fourier Analysis on the Boolean Cube
by Ronald de Wolf
A Brief Introduction to Fourier Analysis on the Boolean Cube
by Ronald de Wolf
Vol 20, Article 7 (pp 1-62)
Lower Bound Techniques in the Comparison-Query Model and Applications to Inversion Minimization
by Ivan Hu, Dieter van Melkebeek, and Andrew Morgan
Lower Bound Techniques in the Comparison-Query Model and Applications to Inversion Minimization
by Ivan Hu, Dieter van Melkebeek, and Andrew Morgan
Vol 19, Article 9 (pp 1-35)
Optimal Composition Theorem for Randomized Query Complexity
by Dmytro Gavinsky, Troy Lee, Miklos Santha, and Swagato Sanyal
Optimal Composition Theorem for Randomized Query Complexity
by Dmytro Gavinsky, Troy Lee, Miklos Santha, and Swagato Sanyal
Vol 19, Article 4 (pp 1-61)
[CCC20 Spec Issue]
Non-Disjoint Promise Problems from Meta-Computational View of Pseudorandom Generator Constructions
by Shuichi Hirahara
Non-Disjoint Promise Problems from Meta-Computational View of Pseudorandom Generator Constructions
by Shuichi Hirahara
Vol 19, Article 3 (pp 1-56)
Exponentially Small Soundness for the Direct Product Z-test
by Irit Dinur and Inbal Livni Navon
Exponentially Small Soundness for the Direct Product Z-test
by Irit Dinur and Inbal Livni Navon
Vol 18, Article 22 (pp 1-22)
The (Generalized) Orthogonality Dimension of (Generalized) Kneser Graphs: Bounds and Applications
by Alexander Golovnev and Ishay Haviv
The (Generalized) Orthogonality Dimension of (Generalized) Kneser Graphs: Bounds and Applications
by Alexander Golovnev and Ishay Haviv
Vol 18, Article 21 (pp 1-32)
[CCC20 Spec Issue]
Hitting Sets Give Two-Sided Derandomization of Small Space
by Kuan Cheng and William M. Hoza
Hitting Sets Give Two-Sided Derandomization of Small Space
by Kuan Cheng and William M. Hoza
Vol 18, Article 19 (pp 1-22)
[CCC20 Spec Issue]
Sign-Rank vs. Discrepancy
by Kaave Hosseini, Hamed Hatami, and Shachar Lovett
Sign-Rank vs. Discrepancy
by Kaave Hosseini, Hamed Hatami, and Shachar Lovett
Vol 18, Article 16 (pp 1-54)
Tensor Network Complexity of Multilinear Maps
by Per Austrin, Petteri Kaski, and Kaie Kubjas
Tensor Network Complexity of Multilinear Maps
by Per Austrin, Petteri Kaski, and Kaie Kubjas
Vol 18, Article 15 (pp 1-33)
[CCC20 Spec Issue]
Multiparty Karchmer-Wigderson Games and Threshold Circuits
by Alexander Kozachinskiy and Vladimir V. Podolskii
Multiparty Karchmer-Wigderson Games and Threshold Circuits
by Alexander Kozachinskiy and Vladimir V. Podolskii
Vol 18, Article 14 (pp 1-4)
[CCC20 Spec Issue]
Special Issue: CCC 2020: Guest Editors' Foreword
by Zeev Dvir and Avishay Tal
Special Issue: CCC 2020: Guest Editors' Foreword
by Zeev Dvir and Avishay Tal
Vol 18, Article 8 (pp 1-18)
[CCC18 Spec Issue]
The Cayley Semigroup Membership Problem
by Lukas Fleischer
The Cayley Semigroup Membership Problem
by Lukas Fleischer
Vol 18, Article 5 (pp 1-28)
[CCC19 Spec Issue]
UG-hardness to NP-hardness by Losing Half
by Amey Bhangale and Subhash Khot
UG-hardness to NP-hardness by Losing Half
by Amey Bhangale and Subhash Khot
Vol 17, Article 11 (pp 1-38)
[CCC19 Spec Issue]
Hardness Magnification Near State-of-the-Art Lower Bounds
by Igor C. Oliveira, Ján Pich, and Rahul Santhanam
Hardness Magnification Near State-of-the-Art Lower Bounds
by Igor C. Oliveira, Ján Pich, and Rahul Santhanam
Vol 17, Article 10 (pp 1-88)
[CCC16 Spec Issue]
Proof Complexity Lower Bounds from Algebraic Circuit Complexity
by Michael A. Forbes, Amir Shpilka, Iddo Tzameret, and Avi Wigderson
Proof Complexity Lower Bounds from Algebraic Circuit Complexity
by Michael A. Forbes, Amir Shpilka, Iddo Tzameret, and Avi Wigderson
Vol 17, Article 9 (pp 1-30)
[CCC19 Spec Issue]
Sherali--Adams Strikes Back
by Ryan O'Donnell and Tselil Schramm
Sherali--Adams Strikes Back
by Ryan O'Donnell and Tselil Schramm
Vol 17, Article 8 (pp 1-28)
The Layer Complexity of Arthur-Merlin-like Communication
by Dmitry Gavinsky
The Layer Complexity of Arthur-Merlin-like Communication
by Dmitry Gavinsky
Vol 17, Article 6 (pp 1-57)
Almost Polynomial Hardness of Node-Disjoint Paths in Grids
by Julia Chuzhoy, David Hong Kyun Kim, and Rachit Nimavat
Almost Polynomial Hardness of Node-Disjoint Paths in Grids
by Julia Chuzhoy, David Hong Kyun Kim, and Rachit Nimavat
Vol 17, Article 2 (pp 1-32)
[CCC19 Spec Issue]
Barriers for Fast Matrix Multiplication from Irreversibility
by Matthias Christandl, Péter Vrana, and Jeroen Zuiddam
Barriers for Fast Matrix Multiplication from Irreversibility
by Matthias Christandl, Péter Vrana, and Jeroen Zuiddam
Vol 17, Article 1 (pp 1-30)
[CCC19 Spec Issue]
Limits on the Universal Method for Matrix Multiplication
by Josh Alman
Limits on the Universal Method for Matrix Multiplication
by Josh Alman
Vol 16, Article 20 (pp 1-48)
[CCC19 Spec Issue]
Fourier and Circulant Matrices are Not Rigid
by Zeev Dvir and Allen Liu
Fourier and Circulant Matrices are Not Rigid
by Zeev Dvir and Allen Liu
Vol 16, Article 19 (pp 1-5)
[CCC19 Spec Issue]
Special Issue: CCC 2019: Guest Editor's Foreword
by Yuval Filmus
Special Issue: CCC 2019: Guest Editor's Foreword
by Yuval Filmus
Vol 16, Article 16 (pp 1-30)
A Characterization of Hard-to-Cover CSPs
by Amey Bhangale, Prahladh Harsha, and Girish Varma
A Characterization of Hard-to-Cover CSPs
by Amey Bhangale, Prahladh Harsha, and Girish Varma
Vol 16, Article 14 (pp 1-8)
[NOTE]
On the Hardness of Approximating the $k$-Way Hypergraph Cut problem
by Chandra Chekuri and Shi Li
On the Hardness of Approximating the $k$-Way Hypergraph Cut problem
by Chandra Chekuri and Shi Li
Vol 16, Article 9 (pp 1-12)
On the Complexity of Computing a Random Boolean Function Over the Reals
by Pavel Hrubeš
On the Complexity of Computing a Random Boolean Function Over the Reals
by Pavel Hrubeš
Vol 16, Article 8 (pp 1-55)
Inaccessible Entropy II: IE Functions and Universal One-Way Hashing
by Iftach Haitner, Thomas Holenstein, Omer Reingold, Salil Vadhan, and Hoeteck Wee
Inaccessible Entropy II: IE Functions and Universal One-Way Hashing
by Iftach Haitner, Thomas Holenstein, Omer Reingold, Salil Vadhan, and Hoeteck Wee
Vol 16, Article 4 (pp 1-50)
[CCC18 Spec Issue]
On The Hardness of Approximate and Exact (Bichromatic) Maximum Inner Product
by Lijie Chen
On The Hardness of Approximate and Exact (Bichromatic) Maximum Inner Product
by Lijie Chen
Vol 16, Article 2 (pp 1-18)
Threshold Secret Sharing Requires a Linear-Size Alphabet
by Andrej Bogdanov, Siyao Guo, and Ilan Komargodski
Threshold Secret Sharing Requires a Linear-Size Alphabet
by Andrej Bogdanov, Siyao Guo, and Ilan Komargodski
Vol 15, Article 19 (pp 1-25)
The Threshold for Subgroup Profiles to Agree is Logarithmic
by James B. Wilson
The Threshold for Subgroup Profiles to Agree is Logarithmic
by James B. Wilson
Vol 15, Article 18 (pp 1-9)
Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds
by Emanuele Viola
Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds
by Emanuele Viola
Vol 15, Article 16 (pp 1-30)
[CCC18 Spec Issue]
Algebraic Dependencies and PSPACE Algorithms in Approximative Complexity over Any Field
by Zeyu Guo, Nitin Saxena, and Amit Sinhababu
Algebraic Dependencies and PSPACE Algorithms in Approximative Complexity over Any Field
by Zeyu Guo, Nitin Saxena, and Amit Sinhababu
Vol 15, Article 13 (pp 1-34)
Closure Results for Polynomial Factorization
by Chi-Ning Chou, Mrinal Kumar, and Noam Solomon
Closure Results for Polynomial Factorization
by Chi-Ning Chou, Mrinal Kumar, and Noam Solomon
Vol 15, Article 10 (pp 1-26)
[CCC18 Spec Issue]
Pseudorandom Generators from Polarizing Random Walks
by Eshan Chattopadhyay, Pooya Hatami, Kaave Hosseini, and Shachar Lovett
Pseudorandom Generators from Polarizing Random Walks
by Eshan Chattopadhyay, Pooya Hatami, Kaave Hosseini, and Shachar Lovett
Vol 15, Article 9 (pp 1-3)
[CCC18 Spec Issue]
Special Issue: CCC 2018: Guest Editor's Foreword
by Srikanth Srinivasan
Special Issue: CCC 2018: Guest Editor's Foreword
by Srikanth Srinivasan
Vol 15, Article 8 (pp 1-7)
[NOTE]
Matrix Rigidity and the Croot-Lev-Pach Lemma
by Zeev Dvir and Benjamin L. Edelman
Matrix Rigidity and the Croot-Lev-Pach Lemma
by Zeev Dvir and Benjamin L. Edelman
Vol 15, Article 7 (pp 1-36)
Randomized Polynomial-Time Identity Testing for Noncommutative Circuits
by Vikraman Arvind, Pushkar S. Joglekar, Partha Mukhopadhyay, and S. Raja
Randomized Polynomial-Time Identity Testing for Noncommutative Circuits
by Vikraman Arvind, Pushkar S. Joglekar, Partha Mukhopadhyay, and S. Raja
Vol 15, Article 2 (pp 1-31)
Time Bounds for Streaming Problems
by Raphaël Clifford, Markus Jalsenius, and Benjamin Sach
Time Bounds for Streaming Problems
by Raphaël Clifford, Markus Jalsenius, and Benjamin Sach
Vol 15, Article 1 (pp 1-55)
Testing $k$-Monotonicity: The Rise and Fall of Boolean Functions
by Clément L. Canonne, Elena Grigorescu, Siyao Guo, Akash Kumar, and Karl Wimmer
Testing $k$-Monotonicity: The Rise and Fall of Boolean Functions
by Clément L. Canonne, Elena Grigorescu, Siyao Guo, Akash Kumar, and Karl Wimmer
Vol 14, Article 22 (pp 1-17)
On Multiparty Communication with Large versus Unbounded Error
by Alexander A. Sherstov
On Multiparty Communication with Large versus Unbounded Error
by Alexander A. Sherstov
Vol 14, Article 21 (pp 1-23)
Separation of Unbounded-Error Models in Multi-Party Communication Complexity
by Arkadev Chattopadhyay and Nikhil S. Mande
Separation of Unbounded-Error Models in Multi-Party Communication Complexity
by Arkadev Chattopadhyay and Nikhil S. Mande
Vol 14, Article 20 (pp 1-29)
Simplified Separation of Information and Communication
by Anup Rao and Makrand Sinha
Simplified Separation of Information and Communication
by Anup Rao and Makrand Sinha
Vol 14, Article 19 (pp 1-46)
A Chasm Between Identity and Equivalence Testing with Conditional Queries
by Jayadev Acharya, Clément L. Canonne, and Gautam Kamath
A Chasm Between Identity and Equivalence Testing with Conditional Queries
by Jayadev Acharya, Clément L. Canonne, and Gautam Kamath
Vol 14, Article 18 (pp 1-45)
Succinct Hitting Sets and Barriers to Proving Lower Bounds for Algebraic Circuits
by Michael A. Forbes, Amir Shpilka, and Ben Lee Volk
Succinct Hitting Sets and Barriers to Proving Lower Bounds for Algebraic Circuits
by Michael A. Forbes, Amir Shpilka, and Ben Lee Volk
Vol 14, Article 17 (pp 1-25)
New Algorithms and Lower Bounds for Circuits With Linear Threshold Gates
by R. Ryan Williams
New Algorithms and Lower Bounds for Circuits With Linear Threshold Gates
by R. Ryan Williams
Vol 14, Article 16 (pp 1-46)
On the Size of Homogeneous and of Depth-Four Formulas with Low Individual Degree
by Neeraj Kayal, Chandan Saha, and Sébastien Tavenas
On the Size of Homogeneous and of Depth-Four Formulas with Low Individual Degree
by Neeraj Kayal, Chandan Saha, and Sébastien Tavenas
Vol 14, Article 13 (pp 1-17)
On the Hardness of Learning With Errors with Binary Secrets
by Daniele Micciancio
On the Hardness of Learning With Errors with Binary Secrets
by Daniele Micciancio
Vol 14, Article 12 (pp 1-24)
Certifying Polynomials for $\mathrm{AC}^0[\oplus]$ Circuits, with Applications to Lower Bounds and Circuit Compression
by Swastik Kopparty and Srikanth Srinivasan
Certifying Polynomials for $\mathrm{AC}^0[\oplus]$ Circuits, with Applications to Lower Bounds and Circuit Compression
by Swastik Kopparty and Srikanth Srinivasan
Vol 14, Article 9 (pp 1-55)
[CCC16 Spec Issue]
Average-Case Lower Bounds and Satisfiability Algorithms for Small Threshold Circuits
by Ruiwen Chen, Rahul Santhanam, and Srikanth Srinivasan
Average-Case Lower Bounds and Satisfiability Algorithms for Small Threshold Circuits
by Ruiwen Chen, Rahul Santhanam, and Srikanth Srinivasan
Vol 14, Article 8 (pp 1-35)
The Complexity of Computing the Optimal Composition of Differential Privacy
by Jack Murtagh and Salil Vadhan
The Complexity of Computing the Optimal Composition of Differential Privacy
by Jack Murtagh and Salil Vadhan
Vol 14, Article 6 (pp 1-73)
[CCC17 Spec Issue]
Trading Information Complexity for Error
by Yuval Dagan, Yuval Filmus, Hamed Hatami, and Yaqiao Li
Trading Information Complexity for Error
by Yuval Dagan, Yuval Filmus, Hamed Hatami, and Yaqiao Li
Vol 14, Article 2 (pp 1-2)
[CCC17 Spec Issue]
Special Issue: CCC 2017: Guest Editor's Foreword
by Shachar Lovett and Ryan O'Donnell
Special Issue: CCC 2017: Guest Editor's Foreword
by Shachar Lovett and Ryan O'Donnell
Vol 13, Article 20 (pp 1-25)
The Inapproximability of Maximum Single-Sink Unsplittable, Priority and Confluent Flow Problems
by F. Bruce Shepherd and Adrian R. Vetta
The Inapproximability of Maximum Single-Sink Unsplittable, Priority and Confluent Flow Problems
by F. Bruce Shepherd and Adrian R. Vetta
Vol 13, Article 18 (pp 1-15)
Monotone Projection Lower Bounds from Extended Formulation Lower Bounds
by Joshua A. Grochow
Monotone Projection Lower Bounds from Extended Formulation Lower Bounds
by Joshua A. Grochow
Vol 13, Article 16 (pp 1-23)
Some Limitations of the Sum of Small-Bias Distributions
by Chin Ho Lee and Emanuele Viola
Some Limitations of the Sum of Small-Bias Distributions
by Chin Ho Lee and Emanuele Viola
Vol 13, Article 15 (pp 1-24)
Tight Hardness of the Non-Commutative Grothendieck Problem
by Jop Briët, Oded Regev, and Rishi Saket
Tight Hardness of the Non-Commutative Grothendieck Problem
by Jop Briët, Oded Regev, and Rishi Saket
Vol 13, Article 12 (pp 1-50)
[APRX-RND14 Spec Issue]
Pseudorandomness and Fourier-Growth Bounds for Width-3 Branching Programs
by Thomas Steinke, Salil Vadhan, and Andrew Wan
Pseudorandomness and Fourier-Growth Bounds for Width-3 Branching Programs
by Thomas Steinke, Salil Vadhan, and Andrew Wan
Vol 13, Article 11 (pp 1-36)
Superquadratic Lower Bound for 3-Query Locally Correctable Codes over the Reals
by Zeev Dvir, Shubhangi Saraf, and Avi Wigderson
Superquadratic Lower Bound for 3-Query Locally Correctable Codes over the Reals
by Zeev Dvir, Shubhangi Saraf, and Avi Wigderson
Vol 13, Article 9 (pp 1-34)
The Shifted Partial Derivative Complexity of Elementary Symmetric Polynomials
by Hervé Fournier, Nutan Limaye, Meena Mahajan, and Srikanth Srinivasan
The Shifted Partial Derivative Complexity of Elementary Symmetric Polynomials
by Hervé Fournier, Nutan Limaye, Meena Mahajan, and Srikanth Srinivasan
Vol 13, Article 7 (pp 1-18)
A Communication Game Related to the Sensitivity Conjecture
by Justin Gilmer, Michal Koucký, and Michael Saks
A Communication Game Related to the Sensitivity Conjecture
by Justin Gilmer, Michal Koucký, and Michael Saks
Vol 13, Article 6 (pp 1-33)
[CCC16 Spec Issue]
Arithmetic Circuits with Locally Low Algebraic Rank
by Mrinal Kumar and Shubhangi Saraf
Arithmetic Circuits with Locally Low Algebraic Rank
by Mrinal Kumar and Shubhangi Saraf
Vol 13, Article 4 (pp 1-22)
On the (Non) NP-Hardness of Computing Circuit Complexity
by Cody D. Murray and R. Ryan Williams
On the (Non) NP-Hardness of Computing Circuit Complexity
by Cody D. Murray and R. Ryan Williams
Vol 13, Article 3 (pp 1-24)
[APRX-RND15 Spec Issue]
Towards a Characterization of Approximation Resistance for Symmetric CSPs
by Venkatesan Guruswami and Euiwoong Lee
Towards a Characterization of Approximation Resistance for Symmetric CSPs
by Venkatesan Guruswami and Euiwoong Lee
Vol 13, Article 2 (pp 1-21)
[CCC16 Spec Issue]
Identity Testing for Constant-Width, and Any-Order, Read-Once Oblivious Arithmetic Branching Programs
by Rohit Gurjar, Arpita Korwar, and Nitin Saxena
Identity Testing for Constant-Width, and Any-Order, Read-Once Oblivious Arithmetic Branching Programs
by Rohit Gurjar, Arpita Korwar, and Nitin Saxena
Vol 13, Article 1 (pp 1-3)
[CCC16 Spec Issue]
Special Issue: CCC 2016: Guest Editor's Foreword
by Prahladh Harsha
Special Issue: CCC 2016: Guest Editor's Foreword
by Prahladh Harsha
Vol 12, Article 20 (pp 1-25)
Dichotomies in Equilibrium Computation and Membership of PLC Markets in FIXP
by Jugal Garg, Ruta Mehta, and Vijay V. Vazirani
Dichotomies in Equilibrium Computation and Membership of PLC Markets in FIXP
by Jugal Garg, Ruta Mehta, and Vijay V. Vazirani
Vol 12, Article 19 (pp 1-33)
Locally Checkable Proofs in Distributed Computing
by Mika Göös and Jukka Suomela
Locally Checkable Proofs in Distributed Computing
by Mika Göös and Jukka Suomela
Vol 12, Article 16 (pp 1-34)
Dual Polynomials for Collision and Element Distinctness
by Mark Bun and Justin Thaler
Dual Polynomials for Collision and Element Distinctness
by Mark Bun and Justin Thaler
Vol 12, Article 12 (pp 1-38)
Lower Bounds for Non-Commutative Skew Circuits
by Nutan Limaye, Guillaume Malod, and Srikanth Srinivasan
Lower Bounds for Non-Commutative Skew Circuits
by Nutan Limaye, Guillaume Malod, and Srikanth Srinivasan
Vol 12, Article 11 (pp 1-17)
Anti-concentration for Polynomials of Independent Random Variables
by Raghu Meka, Oanh Nguyen, and Van Vu
Anti-concentration for Polynomials of Independent Random Variables
by Raghu Meka, Oanh Nguyen, and Van Vu
Vol 12, Article 10 (pp 1-35)
Robust Lower Bounds for Communication and Stream Computation
by Amit Chakrabarti, Graham Cormode, and Andrew McGregor
Robust Lower Bounds for Communication and Stream Computation
by Amit Chakrabarti, Graham Cormode, and Andrew McGregor
Vol 12, Article 6 (pp 1-11)
[NOTE]
Simple Proof of Hardness of Feedback Vertex Set
by Venkatesan Guruswami and Euiwoong Lee
Simple Proof of Hardness of Feedback Vertex Set
by Venkatesan Guruswami and Euiwoong Lee
Vol 12, Article 4 (pp 1-50)
Majority is Stablest: Discrete and SoS
by Anindya De, Elchanan Mossel, and Joe Neeman
Majority is Stablest: Discrete and SoS
by Anindya De, Elchanan Mossel, and Joe Neeman
Vol 12, Article 3 (pp 1-42)
Interactive Proofs for $\mathsf{BQP}$ via Self-Tested Graph States
by Matthew McKague
Interactive Proofs for $\mathsf{BQP}$ via Self-Tested Graph States
by Matthew McKague
Vol 11, Article 20 (pp 491-603)
The Bose-Hubbard Model is QMA-complete
by Andrew M. Childs, David Gosset, and Zak Webb
The Bose-Hubbard Model is QMA-complete
by Andrew M. Childs, David Gosset, and Zak Webb
Vol 11, Article 18 (pp 445-469)
[Boolean Spec Issue]
On some extensions of the FKN theorem
by Jacek Jendrej, Krzysztof Oleszkiewicz, and Jakub O. Wojtaszczyk
On some extensions of the FKN theorem
by Jacek Jendrej, Krzysztof Oleszkiewicz, and Jakub O. Wojtaszczyk
Vol 11, Article 11 (pp 285-298)
New Lower Bounds for the Border Rank of Matrix Multiplication
by Joseph M. Landsberg and Giorgio Ottaviani
New Lower Bounds for the Border Rank of Matrix Multiplication
by Joseph M. Landsberg and Giorgio Ottaviani
Vol 11, Article 10 (pp 257-283)
[APRX-RND13 Spec Issue]
On the NP-Hardness of Approximating Ordering-Constraint Satisfaction Problems
by Per Austrin, Rajsekar Manokaran, and Cenny Wenner
On the NP-Hardness of Approximating Ordering-Constraint Satisfaction Problems
by Per Austrin, Rajsekar Manokaran, and Cenny Wenner
Vol 11, Article 7 (pp 221-235)
[APRX-RND12 Spec Issue]
The Projection Games Conjecture and the NP-Hardness of ln $n$-Approximating Set-Cover
by Dana Moshkovitz
The Projection Games Conjecture and the NP-Hardness of ln $n$-Approximating Set-Cover
by Dana Moshkovitz
Vol 11, Article 6 (pp 183-219)
How Hard Is It to Approximate the Jones Polynomial?
by Greg Kuperberg
How Hard Is It to Approximate the Jones Polynomial?
by Greg Kuperberg
Vol 11, Article 3 (pp 59-103)
Quantum Interactive Proofs and the Complexity of Separability Testing
by Gus Gutoski, Patrick Hayden, Kevin Milner, and Mark M. Wilde
Quantum Interactive Proofs and the Complexity of Separability Testing
by Gus Gutoski, Patrick Hayden, Kevin Milner, and Mark M. Wilde
Vol 11, Article 2 (pp 35-57)
The Complexity of Parity Graph Homomorphism: An Initial Investigation
by John Faben and Mark Jerrum
The Complexity of Parity Graph Homomorphism: An Initial Investigation
by John Faben and Mark Jerrum
Vol 11, Article 1 (pp 1-34)
The Complexity of Deciding Statistical Properties of Samplable Distributions
by Thomas Watson
The Complexity of Deciding Statistical Properties of Samplable Distributions
by Thomas Watson
Vol 10, Article 19 (pp 515-533)
Query Complexity Lower Bounds for Reconstruction of Codes
by Sourav Chakraborty, Eldar Fischer, and Arie Matsliah
Query Complexity Lower Bounds for Reconstruction of Codes
by Sourav Chakraborty, Eldar Fischer, and Arie Matsliah
Vol 10, Article 18 (pp 465-514)
On Reconstruction and Testing of Read-Once Formulas
by Amir Shpilka and Ilya Volkovich
On Reconstruction and Testing of Read-Once Formulas
by Amir Shpilka and Ilya Volkovich
Vol 10, Article 17 (pp 453-464)
An Optimal Lower Bound for Monotonicity Testing over Hypergrids
by Deeparnab Chakrabarty and C. Seshadhri
An Optimal Lower Bound for Monotonicity Testing over Hypergrids
by Deeparnab Chakrabarty and C. Seshadhri
Vol 10, Article 15 (pp 389-419)
[Boolean Spec Issue]
Tight Bounds for Monotone Switching Networks via Fourier Analysis
by Siu Man Chan and Aaron Potechin
Tight Bounds for Monotone Switching Networks via Fourier Analysis
by Siu Man Chan and Aaron Potechin
Vol 10, Article 14 (pp 359-388)
Approximation Resistance on Satisfiable Instances for Sparse Predicates
by Sangxia Huang
Approximation Resistance on Satisfiable Instances for Sparse Predicates
by Sangxia Huang
Vol 10, Article 12 (pp 297-339)
Width-Parametrized SAT: Time--Space Tradeoffs
by Eric Allender, Shiteng Chen, Tiancheng Lou, Periklis A. Papakonstantinou, and Bangsheng Tang
Width-Parametrized SAT: Time--Space Tradeoffs
by Eric Allender, Shiteng Chen, Tiancheng Lou, Periklis A. Papakonstantinou, and Bangsheng Tang
Vol 10, Article 8 (pp 199-215)
Symmetry Coincides with Nondeterminism for Time-Bounded Auxiliary Pushdown Automata
by Eric Allender and Klaus-Jörn Lange
Symmetry Coincides with Nondeterminism for Time-Bounded Auxiliary Pushdown Automata
by Eric Allender and Klaus-Jörn Lange
Vol 10, Article 7 (pp 167-197)
[RESEARCH SURVEY]
Matchgates Revisited
by Jin-Yi Cai and Aaron Gorenstein
Matchgates Revisited
by Jin-Yi Cai and Aaron Gorenstein
Vol 10, Article 6 (pp 133-166)
The Need for Structure in Quantum Speedups
by Scott Aaronson and Andris Ambainis
The Need for Structure in Quantum Speedups
by Scott Aaronson and Andris Ambainis
Vol 10, Article 5 (pp 107-131)
Competing-Provers Protocols for Circuit Evaluation
by Gillat Kol and Ran Raz
Competing-Provers Protocols for Circuit Evaluation
by Gillat Kol and Ran Raz
Vol 10, Article 3 (pp 55-75)
[Boolean Spec Issue]
Dimension-Free $L_2$ Maximal Inequality for Spherical Means in the Hypercube
by Aram W. Harrow, Alexandra Kolla, and Leonard J. Schulman
Dimension-Free $L_2$ Maximal Inequality for Spherical Means in the Hypercube
by Aram W. Harrow, Alexandra Kolla, and Leonard J. Schulman
Vol 10, Article 2 (pp 27-53)
A Regularity Lemma and Low-Weight Approximators for Low-Degree Polynomial Threshold Functions
by Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan, and Andrew Wan
A Regularity Lemma and Low-Weight Approximators for Low-Degree Polynomial Threshold Functions
by Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan, and Andrew Wan
Vol 10, Article 1 (pp 1-26)
[Boolean Spec Issue]
Bounding the Sensitivity of Polynomial Threshold Functions
by Prahladh Harsha, Adam Klivans, and Raghu Meka
Bounding the Sensitivity of Polynomial Threshold Functions
by Prahladh Harsha, Adam Klivans, and Raghu Meka
Vol 9, Article 28 (pp 863-887)
[Boolean Spec Issue]
A Two-Prover One-Round Game with Strong Soundness
by Subhash Khot and Muli Safra
A Two-Prover One-Round Game with Strong Soundness
by Subhash Khot and Muli Safra
Vol 9, Article 26 (pp 809-843)
On Beating the Hybrid Argument
by Bill Fefferman, Ronen Shaltiel, Christopher Umans, and Emanuele Viola
On Beating the Hybrid Argument
by Bill Fefferman, Ronen Shaltiel, Christopher Umans, and Emanuele Viola
Vol 9, Article 25 (pp 783-807)
[APRX-RND12 Spec Issue]
A New Upper Bound on the Query Complexity of Testing Generalized Reed-Muller Codes
by Noga Ron-Zewi and Madhu Sudan
A New Upper Bound on the Query Complexity of Testing Generalized Reed-Muller Codes
by Noga Ron-Zewi and Madhu Sudan
Vol 9, Article 24 (pp 759-781)
[APRX-RND12 Spec Issue]
Hardness of Vertex Deletion and Project Scheduling
by Ola Svensson
Hardness of Vertex Deletion and Project Scheduling
by Ola Svensson
Vol 9, Article 23 (pp 703-757)
[APRX-RND12 Spec Issue]
Circumventing $d$-to-1ドル$ for Approximation Resistance of Satisfiable Predicates Strictly Containing Parity of Width at Least Four
by Cenny Wenner
Circumventing $d$-to-1ドル$ for Approximation Resistance of Satisfiable Predicates Strictly Containing Parity of Width at Least Four
by Cenny Wenner
Vol 9, Article 22 (pp 685-702)
Hamming Approximation of NP Witnesses
by Daniel Sheldon and Neal E. Young
Hamming Approximation of NP Witnesses
by Daniel Sheldon and Neal E. Young
Vol 9, Article 14 (pp 471-557)
Towards an Optimal Separation of Space and Length in Resolution
by Jakob Nordström and Johan Håstad
Towards an Optimal Separation of Space and Length in Resolution
by Jakob Nordström and Johan Håstad
Vol 9, Article 11 (pp 413-435)
Improved Inapproximability Results for Maximum $k$-Colorable Subgraph
by Venkatesan Guruswami and Ali Kemal Sinop
Improved Inapproximability Results for Maximum $k$-Colorable Subgraph
by Venkatesan Guruswami and Ali Kemal Sinop
Vol 9, Article 10 (pp 403-411)
On the Real $\tau$-Conjecture and the Distribution of Complex Roots
by Pavel Hrubeš
On the Real $\tau$-Conjecture and the Distribution of Complex Roots
by Pavel Hrubeš
Vol 9, Article 9 (pp 349-401)
Quantum Money from Hidden Subspaces
by Scott Aaronson and Paul Christiano
Quantum Money from Hidden Subspaces
by Scott Aaronson and Paul Christiano
Vol 9, Article 8 (pp 295-347)
Testing Properties of Collections of Distributions
by Reut Levi, Dana Ron, and Ronitt Rubinfeld
Testing Properties of Collections of Distributions
by Reut Levi, Dana Ron, and Ronitt Rubinfeld
Vol 9, Article 7 (pp 283-293)
Pseudorandomness for Width-2 Branching Programs
by Andrej Bogdanov, Zeev Dvir, Elad Verbin, and Amir Yehudayoff
Pseudorandomness for Width-2 Branching Programs
by Andrej Bogdanov, Zeev Dvir, Elad Verbin, and Amir Yehudayoff
Vol 9, Article 6 (pp 273-282)
[NOTE]
The Complexity of the Fermionant and Immanants of Constant Width
by Stephan Mertens and Cristopher Moore
The Complexity of the Fermionant and Immanants of Constant Width
by Stephan Mertens and Cristopher Moore
Vol 9, Article 4 (pp 143-252)
The Computational Complexity of Linear Optics
by Scott Aaronson and Alex Arkhipov
The Computational Complexity of Linear Optics
by Scott Aaronson and Alex Arkhipov
Vol 9, Article 2 (pp 31-116)
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
by Daniel Gottesman and Sandy Irani
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
by Daniel Gottesman and Sandy Irani
Vol 9, Article 1 (pp 1-29)
The Power of Nondeterminism in Self-Assembly
by Nathaniel Bryans, Ehsan Chiniforooshan, David Doty, Lila Kari, and Shinnosuke Seki
The Power of Nondeterminism in Self-Assembly
by Nathaniel Bryans, Ehsan Chiniforooshan, David Doty, Lila Kari, and Shinnosuke Seki
Vol 8, Article 17 (pp 375-400)
On the Power of a Unique Quantum Witness
by Rahul Jain, Iordanis Kerenidis, Greg Kuperberg, Miklos Santha, Or Sattath, and Shengyu Zhang
On the Power of a Unique Quantum Witness
by Rahul Jain, Iordanis Kerenidis, Greg Kuperberg, Miklos Santha, Or Sattath, and Shengyu Zhang
Vol 8, Article 16 (pp 369-374)
[NOTE]
Quantum Private Information Retrieval with Sublinear Communication Complexity
by François Le Gall
Quantum Private Information Retrieval with Sublinear Communication Complexity
by François Le Gall
Vol 8, Article 12 (pp 269-289)
SDP Gaps from Pairwise Independence
by Siavosh Benabbas, Konstantinos Georgiou, Avner Magen, and Madhur Tulsiani
SDP Gaps from Pairwise Independence
by Siavosh Benabbas, Konstantinos Georgiou, Avner Magen, and Madhur Tulsiani
Vol 8, Article 11 (pp 239-267)
Tight Bounds on the Approximability of Almost-Satisfiable Horn SAT and Exact Hitting Set
by Venkatesan Guruswami and Yuan Zhou
Tight Bounds on the Approximability of Almost-Satisfiable Horn SAT and Exact Hitting Set
by Venkatesan Guruswami and Yuan Zhou
Vol 8, Article 10 (pp 231-238)
[NOTE]
Monotone Circuits: One-Way Functions versus Pseudorandom Generators
by Oded Goldreich and Rani Izsak
Monotone Circuits: One-Way Functions versus Pseudorandom Generators
by Oded Goldreich and Rani Izsak
Vol 8, Article 8 (pp 197-208)
The Communication Complexity of Gap Hamming Distance
by Alexander A. Sherstov
The Communication Complexity of Gap Hamming Distance
by Alexander A. Sherstov
■
Vol 8, Article 1 (pp 1-51)
Time-Space Efficient Simulations of Quantum Computations
by Dieter van Melkebeek and Thomas Watson
Time-Space Efficient Simulations of Quantum Computations
by Dieter van Melkebeek and Thomas Watson
Vol 7, Article 13 (pp 185-188)
[NOTE]
Computing Polynomials with Few Multiplications
by Shachar Lovett
Computing Polynomials with Few Multiplications
by Shachar Lovett
Vol 7, Article 12 (pp 177-184)
[NOTE]
On Circuit Lower Bounds from Derandomization
by Scott Aaronson and Dieter van Melkebeek
On Circuit Lower Bounds from Derandomization
by Scott Aaronson and Dieter van Melkebeek
Vol 7, Article 11 (pp 155-176)
Distribution-Free Testing for Monomials with a Sublinear Number of Queries
by Elya Dolev and Dana Ron
Distribution-Free Testing for Monomials with a Sublinear Number of Queries
by Elya Dolev and Dana Ron
Vol 7, Article 10 (pp 147-153)
[NOTE]
The Influence Lower Bound Via Query Elimination
by Rahul Jain and Shengyu Zhang
The Influence Lower Bound Via Query Elimination
by Rahul Jain and Shengyu Zhang
Vol 7, Article 8 (pp 119-129)
Arithmetic Complexity in Ring Extensions
by Pavel Hrubeš and Amir Yehudayoff
Arithmetic Complexity in Ring Extensions
by Pavel Hrubeš and Amir Yehudayoff
Vol 7, Article 7 (pp 101-117)
Quantum Interactive Proofs with Short Messages
by Salman Beigi, Peter Shor, and John Watrous
Quantum Interactive Proofs with Short Messages
by Salman Beigi, Peter Shor, and John Watrous
Vol 7, Article 6 (pp 75-99)
Testing Linear-Invariant Non-Linear Properties
by Arnab Bhattacharyya, Victor Chen, Madhu Sudan, and Ning Xie
Testing Linear-Invariant Non-Linear Properties
by Arnab Bhattacharyya, Victor Chen, Madhu Sudan, and Ning Xie
Vol 7, Article 4 (pp 45-48)
[NOTE]
Tight Bounds on the Average Sensitivity of k-CNF
by Kazuyuki Amano
Tight Bounds on the Average Sensitivity of k-CNF
by Kazuyuki Amano
Vol 6, Article 10 (pp 227-245)
A Separation of NP and coNP in Multiparty Communication Complexity
by Dmitry Gavinsky and Alexander A. Sherstov
A Separation of NP and coNP in Multiparty Communication Complexity
by Dmitry Gavinsky and Alexander A. Sherstov
Vol 6, Article 9 (pp 201-225)
Separating Deterministic from Randomized Multiparty Communication Complexity
by Paul Beame, Matei David, Toniann Pitassi, and Philipp Woelfel
Separating Deterministic from Randomized Multiparty Communication Complexity
by Paul Beame, Matei David, Toniann Pitassi, and Philipp Woelfel
Vol 6, Article 6 (pp 113-134)
Rounds vs. Queries Tradeoff in Noisy Computation
by Navin Goyal and Michael Saks
Rounds vs. Queries Tradeoff in Noisy Computation
by Navin Goyal and Michael Saks
Vol 6, Article 4 (pp 81-84)
[NOTE]
Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
by Homin K. Lee
Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
by Homin K. Lee
Vol 6, Article 1 (pp 1-25)
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
by Andris Ambainis
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
by Andris Ambainis
Vol 5, Article 13 (pp 257-282)
Optimal Cryptographic Hardness of Learning Monotone Functions
by Dana Dachman-Soled, Homin K. Lee, Tal Malkin, Rocco A. Servedio, Andrew Wan, and Hoeteck Wee
Optimal Cryptographic Hardness of Learning Monotone Functions
by Dana Dachman-Soled, Homin K. Lee, Tal Malkin, Rocco A. Servedio, Andrew Wan, and Hoeteck Wee
Vol 5, Article 10 (pp 191-216)
Distribution-Free Testing Lower Bound for Basic Boolean Functions
by Dana Glasner and Rocco A. Servedio
Distribution-Free Testing Lower Bound for Basic Boolean Functions
by Dana Glasner and Rocco A. Servedio
Vol 5, Article 8 (pp 141-172)
Parallel Repetition: Simplification and the No-Signaling Case
by Thomas Holenstein
Parallel Repetition: Simplification and the No-Signaling Case
by Thomas Holenstein
Vol 5, Article 3 (pp 69-82)
Unconditional Pseudorandom Generators for Low-Degree Polynomials
by Shachar Lovett
Unconditional Pseudorandom Generators for Low-Degree Polynomials
by Shachar Lovett
Vol 5, Article 1 (pp 1-42)
The Power of Unentanglement
by Scott Aaronson, Salman Beigi, Andrew Drucker, Bill Fefferman, and Peter Shor
The Power of Unentanglement
by Scott Aaronson, Salman Beigi, Andrew Drucker, Bill Fefferman, and Peter Shor
Vol 4, Article 7 (pp 137-168)
Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
by Emanuele Viola and Avi Wigderson
Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
by Emanuele Viola and Avi Wigderson
Vol 4, Article 6 (pp 129-135)
The One-Way Communication Complexity of Hamming Distance
by T. S. Jayram, Ravi Kumar, and D. Sivakumar
The One-Way Communication Complexity of Hamming Distance
by T. S. Jayram, Ravi Kumar, and D. Sivakumar
Vol 3, Article 12 (pp 221-238)
An Ω(n1/3) Lower Bound for Bilinear Group Based Private Information Retrieval
by Alexander Razborov and Sergey Yekhanin
An Ω(n1/3) Lower Bound for Bilinear Group Based Private Information Retrieval
by Alexander Razborov and Sergey Yekhanin
Vol 3, Article 11 (pp 211-219)
The Randomized Communication Complexity of Set Disjointness
by Johan Håstad and Avi Wigderson
The Randomized Communication Complexity of Set Disjointness
by Johan Håstad and Avi Wigderson
Vol 3, Article 7 (pp 129-157)
Quantum Versus Classical Proofs and Advice
by Scott Aaronson and Greg Kuperberg
Quantum Versus Classical Proofs and Advice
by Scott Aaronson and Greg Kuperberg
Vol 3, Article 5 (pp 81-102)
An Exponential Separation between Regular and General Resolution
by Michael Alekhnovich, Jan Johannsen, Toniann Pitassi, and Alasdair Urquhart
An Exponential Separation between Regular and General Resolution
by Michael Alekhnovich, Jan Johannsen, Toniann Pitassi, and Alasdair Urquhart
Vol 3, Article 4 (pp 61-79)
A Simple PromiseBQP-complete Matrix Problem
by Dominik Janzing and Pawel Wocjan
A Simple PromiseBQP-complete Matrix Problem
by Dominik Janzing and Pawel Wocjan
Vol 3, Article 3 (pp 45-60)
On the Hardness of Satisfiability with Bounded Occurrences in the Polynomial-Time Hierarchy
by Ishay Haviv, Oded Regev, and Amnon Ta-Shma
On the Hardness of Satisfiability with Bounded Occurrences in the Polynomial-Time Hierarchy
by Ishay Haviv, Oded Regev, and Amnon Ta-Shma
Vol 3, Article 2 (pp 25-43)
Easily refutable subformulas of large random 3CNF formulas
by Uriel Feige and Eran Ofek
Easily refutable subformulas of large random 3CNF formulas
by Uriel Feige and Eran Ofek
Vol 2, Article 9 (pp 173-183)
Tolerant Versus Intolerant Testing for Boolean Properties
by Eldar Fischer and Lance Fortnow
Tolerant Versus Intolerant Testing for Boolean Properties
by Eldar Fischer and Lance Fortnow
Vol 2, Article 4 (pp 65-90)
Rank Bounds and Integrality Gaps for Cutting Planes Procedures
by Joshua Buresh-Oppenheim, Nicola Galesi, Shlomo Hoory, Avner Magen, and Toniann Pitassi
Rank Bounds and Integrality Gaps for Cutting Planes Procedures
by Joshua Buresh-Oppenheim, Nicola Galesi, Shlomo Hoory, Avner Magen, and Toniann Pitassi
Vol 1, Article 9 (pp 177-216)
Linear Equations, Arithmetic Progressions and Hypergraph Property Testing
by Noga Alon and Asaf Shapira
Linear Equations, Arithmetic Progressions and Hypergraph Property Testing
by Noga Alon and Asaf Shapira
Vol 1, Article 8 (pp 149-176)
A Non-linear Time Lower Bound for Boolean Branching Programs
by Miklós Ajtai
A Non-linear Time Lower Bound for Boolean Branching Programs
by Miklós Ajtai
Vol 1, Article 7 (pp 119-148)
Query Efficient PCPs with Perfect Completeness
by Johan Håstad and Subhash Khot
Query Efficient PCPs with Perfect Completeness
by Johan Håstad and Subhash Khot
Vol 1, Article 3 (pp 37-46)
Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element Distinctness with Small Range
by Andris Ambainis
Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element Distinctness with Small Range
by Andris Ambainis
Vol 1, Article 2 (pp 29-36)
Quantum Lower Bound for the Collision Problem with Small Range
by Samuel Kutin
Quantum Lower Bound for the Collision Problem with Small Range
by Samuel Kutin
Vol 1, Article 1 (pp 1-28)
Limitations of Quantum Advice and One-Way Communication
by Scott Aaronson
Limitations of Quantum Advice and One-Way Communication
by Scott Aaronson