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PAPErs (by TOPIC)

Derandomization of space-bounded computation

Bonus :) Here you can find slides for a survey talk I gave at Dagstuhl, 2023.

A Study of Error Reduction Polynomials

Gil Cohen, Dean Doron, Tomer Manket, Edward Pyne, Yichuan Wang, Tal Yankovitz
manuscript
download (ECCC)


Approximating Iterated Multiplication of Stochastic Matrices in Small Space

This paper subsumes the manuscript "Approximating Large Powers of Stochastic Matrices in Small Space".
Gil Cohen, Dean Doron, Ori Sberlo, Amnon Ta-Shma
STOC 2023 (soft merge with this paper by Aaron (Louie) Putterman and Edward Pyne)
download (ECCC)
Dean's talk at IAS


Error Reduction For Weighted PRGs Against Read Once Branching Programs
Gil Cohen, Dean Doron, Oren Renard, Ori Sberlo, Amnon Ta-Shma
CCC 2021
Ori's video at CCC
download (ECCC)
download (CCC)
slides


Pseudo-Random Pseudo-Distributions with Near-Optimal Error for Read-Once Branching Programs
Mark Braverman, Gil Cohen, Sumegha Garg
STOC 2018
Invited to the SICOMP Special Issue for STOC 2018
download (ECCC)
video at The Hebrew University
slides
far better slides
Goldreich's take

derandomizationspac
treecods

Tree codes

Bonus :) I gave a survey lecture on tree codes in Simons Berkeley, 2024.

Explicit Binary Tree Codes with Sub-Logarithmic Size Alphabet
Inbar Ben Yaacov, Gil Cohen, Tal Yankovitz
STOC 2022
download (ECCC)
Inbar's slides


Candidate Tree Codes via Pascal Determinant Cubes
Inbar Ben Yaacov, Gil Cohen, Anand Kumar Narayanan
RANDOM 2021
download (ECCC)
Inbar's talk at RANDOM


Palette-Alternating Tree Codes
Gil Cohen, Shahar Samocha
CCC 2020
download (ECCC)
download (CCC)
video of Shahar at CCC


Explicit Binary Tree Codes with Polylogarithmic Size Alphabet
Gil Cohen, Bernhard Haeupler, Leonard Schulman
STOC 2018
download (ECCC)
video at IAS (most recommended from my talks below)
video from BIRS CMO
video of Leonard at TCS+
video of Leonard at IIAS
Gil Kalai's post
slides

spectral

Spectral graph theory

Tight Bounds for the Zig Zag Product
Gil Cohen, Itay Cohen, Gal Maor
FOCS 2024 (to appear)
download (ECCC)
My uninvited talk on this paper


Derandomized Squaring: An Analytic Insight into Its True Behavior

Gil Cohen, Itay Cohen, Gal Maor, Yuval Peled
manuscript
download (ECCC)


Random Walks on Rotating Expanders

Gil Cohen, Gal Maor
STOC 2023
download (ECCC)
slides


Spectral Expanding Expanders

Gil Cohen, Itay Cohen
CCC 2023
download (ECCC)


Expander Random Walks: The General Case and Limitations

Gil Cohen, Dor Minzer, Shir Peleg, Aaron Potechin, Amnon Ta-Shma
ICALP 2022
download (ECCC)
slides
video at ICALP (begins at minute 28)


Expander Random Walks: A Fourier-Analytic Approach
Gil Cohen, Noam Peri, Amnon Ta-Shma
STOC 2021
download (ECCC)
slides
video at IAS
Noam's talk at STOC

lcc

Locally correctable codes

Asymptotically-Good RLCCs with (log n)^(2+o(1)) Queries
Gil Cohen, Tal Yankovitz
CCC 2024 (to appear)
download (ECCC)


Relaxed Locally Decodable and Correctable Codes: Beyond Tensoring

Gil Cohen, Tal Yankovitz
FOCS 2022
download (ECCC)


LCC and LDC: Tailor-Made Distance Amplification and a Refined Separation
Gil Cohen, Tal Yankovitz
ICALP 2022
download (ECCC)
Tal's video at ICALP (first talk of the session)


Rate Amplification and Query-Efficient Distance Amplification for linear LCC and LDC
Gil Cohen, Tal Yankovitz
CCC 2021
download (ECCC)
download(CCC)
video at HUJI
Tal's talk at CCC
slides

ext

Randomness extractors

Seed Protecting Extractors

Gil Cohen, Dean Doron, Shahar Samocha
Accepted to Theory of Computing (ToC)
download (ECCC)


Two-Source Condensers with Low Error and Low Entropy Gap via Entropy-Resilient Functions
Avraham Ben-Aroya, Gil Cohen, Dean Doron, Amnon Ta-Shma
RANDOM 2019
download (ECCC)
download (RANDOM)

 
Towards Optimal Two-Source Extractors and Ramsey Graphs
Gil Cohen
STOC 2017
download (ECCC)
slides
poster
 
 
Making the Most of Advice: New Correlation Breakers and Their Applications 
Gil Cohen
FOCS 2016
download (ECCC)
slides

 
 
Extractors for Near Logarithmic Min-Entropy
Gil Cohen, Leonard Schulman
FOCS 2016
Invited to Theory of Computing (ToC) 2016
Invited to the SICOMP Special Issue for FOCS 2016 (regretfully declined)
download (ECCC)
slides
 
 
Non-Malleable Extractors - New Tools and Improved Constructions
Gil Cohen
CCC 2016
download (ECCC)
slides
 
 
Two-Source Dispersers for Polylogarithmic Entropy and Improved Ramsey Graphs
Gil Cohen
STOC 2016
Invited to the SICOMP Special Issue for STOC 2016
download (ECCC)
video at IAS part 1 (one hour slides)
video at IAS part 2 (two hours board talk)
slides from STOC
Goldreich's take
a eureka moment
 
 
Local Correlation Breakers and Applications to Three-Source Extractors and Mergers
Gil Cohen
SICOMP 2016 (preliminary version in FOCS 2015)
download (ECCC)
download (SICOMP)
slides
Goldreich's take
 
 
Two Structural Results for Low Degree Polynomials and Applications

Gil Cohen, Avishay Tal
RANDOM 2015
download (ECCC)
video of Avishay at IAS


Zero-Fixing Extractors for Sub-Logarithmic Entropy
Gil Cohen, Igor Shinkar
ICALP 2015
download (ECCC)
slides
Goldreich's take
 
 
Non-Malleable Extractors with Short Seeds and Applications to Privacy Amplification
Gil Cohen, Ran Raz, Gil Segev
SICOMP 2014 (preliminary version in CCC 2012)
download (ECCC)
download (SICOMP)
slides
 


Non-Malleable Extractors with Logarithmic Seeds
This paper has been subsumed by "Making the Most of Advice..." (see above) though this earlier paper is simpler and yields optimal non-malleable extractors (up to constants) for constant error.
Gil Cohen

Manuscript 2016
download (ECCC)

 

compexity

Complexity theory

The Complexity of DNF of Parities
Gil Cohen, Igor Shinkar
ITCS 2016
download (ECCC) 


On Rigid Matrices and U-Polynomials
Noga Alon, Gil Cohen
Computational Complexity 2015 (preliminary version in CCC 2013)
download (ECCC)
download (Computational Complexity)
slides


Bi-Lipschitz Bijection between the Boolean Cube and the Hamming Ball
Itai Benjamini, Gil Cohen, Igor Shinkar

Israel Journal of Mathematics (preliminary version in FOCS 2014)
download (ECCC)
download (Israel Journal of Mathematics)
video at IAS
shorter video from FOCS
slides
Goldreich's take
Viola's take and context



Two Sides of the Coin Problem

Gil Cohen, Anat Ganor, Ran Raz
RANDOM 2014
download (ECCC)
slides  


Pseudorandom Generators for Low Degree Polynomials from Algebraic Geometry Codes
Gil Cohen, Amnon Ta-Shma
Manuscript 2013
download (ECCC)
slides

misc

Miscellaneous

Efficient Multiparty Protocols via Log-Depth Threshold Formulae
Gil Cohen, Ivan Bjerre Damgard, Yuval Ishai, Jonas Kolker, Peter Bro Miltersen, Ran Raz, Ron Rothblum
CRYPT0 2013
download (ECCC)
video of Ron at The Simons Institute, Berkeley
slides
Goldreich's take  


Gradual Small-Bias Sample Spaces
Avraham Ben-Aroya, Gil Cohen
Manuscript 2012
download (ECCC)
slides


On the Degree of Univariate Polynomials Over the Integers
Gil Cohen, Amir Shpilka, Avishay Tal
COMBINATORICA 2016 (preliminary version in ITCS 2012)
download (ECCC)
download (COMBINATORICA)
slides
 

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