A regularity lemma, and low-weight approximators, for low-degree polynomial threshold functions

Type: Preprint

Publication Date: 2009-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.0909.4727

Locations

  • arXiv (Cornell University) - View
  • Edinburgh Research Explorer (University of Edinburgh) - View - PDF
  • Edinburgh Research Explorer (University of Edinburgh) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions 2010 Ilias Diakonikolas
Rocco A. Servedio
Li-Yang Tan
Andrew Wan
+ PDF Chat None 2014 Ilias Diakonikolas
Rocco A. Servedio
Li-Yang Tan
Andrew Wan
+ Improved Approximation of Linear Threshold Functions 2009 Ilias Diakonikolas
Rocco A. Servedio
+ Polynomial Representations of Threshold Functions and Algorithmic Applications 2016 Josh Alman
M Chan Timothy
Williams Ryan
+ Average sensitivity and noise sensitivity of polynomial threshold functions 2009 Ilias Diakonikolas
Prasad Raghavendra
Rocco A. Servedio
Li-Yang Tan
+ Polynomial Threshold Functions: Structure, Approximation and Pseudorandomness 2009 Ido Benā€Eliezer
Shachar Lovett
Ariel Yadin
+ Polynomial Representations of Threshold Functions and Algorithmic Applications 2016 Josh Alman
Timothy M. Chan
Ryan Williams
+ Polynomial Threshold Functions: Structure, Approximation and Pseudorandomness 2009 Ido Benā€Eliezer
Shachar Lovett
Ariel Yadin
+ Efficient deterministic approximate counting for low-degree polynomial threshold functions 2013 Anindya De
Rocco A. Servedio
+ PDF Chat Degree-š‘‘ chow parameters robustly determine degree-š‘‘ PTFs (and algorithmic applications) 2019 Ilias Diakonikolas
Daniel M. Kane
+ Limits on representing Boolean functions by linear combinations of simple functions: thresholds, ReLUs, and low-degree polynomials 2018 Ryan Williams
+ Limits on representing Boolean functions by linear combinations of simple functions: thresholds, ReLUs, and low-degree polynomials 2018 Ryan Williams
+ PDF Chat Lower Bound on Weights of Large Degree Threshold Functions 2013 Vladimir V. Podolskii
+ On the weight and density bounds of polynomial threshold functions 2020 Erhan Ɩztop
Minoru Asada
+ PDF Chat Improved Approximation of Linear Threshold Functions 2012 Ilias Diakonikolas
Rocco A. Servedio
+ Polynomial Threshold Functions for Decision Lists 2022 Vladimir V. Podolskii
Nikolay V. Proskurin
+ Deterministic Approximate Counting for Juntas of Degree-$2$ Polynomial Threshold Functions 2013 Anindya De
Ilias Diakonikolas
Rocco A. Servedio
+ PDF Chat None 2013 Alexander A. Sherstov
+ Near-Optimal Lower Bounds on the Threshold Degree and Sign-Rank of AC^0. 2019 Alexander A. Sherstov
Pei Wu
+ PDF Chat Polynomial Threshold Functions for Decision Lists 2022 Vladimir V. Podolskii
Nikolay V. Proskurin