Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 227,741,289 papers from all fields of science
Search
Sign In
Create Free Account
Polynomial identity testing
In mathematics, polynomial identity testing (PIT) is the problem of efficiently determining whether two multivariate polynomials are identical. More…
Expand
Wikipedia
(opens in a new tab)
Create Alert
Alert
Related topics
Related topics
14 relations
AKS primality test
BPP (complexity)
Computational complexity theory
Degree of a polynomial
Expand
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
1 Randomized polynomial identity testing
Madhur Tulsiani
2018
Corpus ID: 54180864
Proof: We will prove this lemma by induction on n. This lemma can be proved simply by using conditional probability. Base Case…
Expand
Review
2017
Review
2017
Lecture 5 – Polynomial Identity Testing
Michael P. Kim
2017
Corpus ID: 92981000
In this lecture we will cover a fundamental problem in complexity theory – polynomial identity testing (PIT). We will motivate…
Expand
2015
2015
Blackbox Identity Testing for Simple Depth 3 Circuits
Dr. Nitin Saxena
2015
Corpus ID: 18440031
The Polynomial Identity Testing problem (PIT) requires one to determine whether a given polynomial is identically equal to the…
Expand
2014
2014
Building Above Read-Once Polynomials: Identity Testing and Hardness of Representation
M. Mahajan
,
B. V. Raghavendra Rao
,
Karteek Sreenivasaiah
Algorithmica
2014
Corpus ID: 5559936
Polynomial Identity Testing (PIT) algorithms have focussed on polynomials computed either by small alternation-depth arithmetic…
Expand
2014
2014
A brief history of polynomial identity testing
Manindra Agrawal
2014
Corpus ID: 6474176
Polynomial identity testing is the problem of deciding if a given (multivariate) polynomial is identically zero. Over the past…
Expand
2010
2010
Deterministic Black-Box Identity Testing pi-Ordered Algebraic Branching Programs
M. Jansen
,
Youming Qiao
,
Jayalal Sarma
Electron. Colloquium Comput. Complex.
2010
Corpus ID: 8109455
In this paper we study algebraic branching programs (ABPs) with restrictions on the order and the number of reads of variables in…
Expand
2009
2009
Arithmetic Circuit Size, Identity Testing, and Finite Automata
V. Arvind
,
Pushkar S. Joglekar
Electron. Colloquium Comput. Complex.
2009
Corpus ID: 12356292
Let Fhx1,x2,···,xni be the noncommutative polynomial ring over a field F, where the xi's are free noncommuting formal variables…
Expand
2009
2009
Deterministic Identity Testing of Read-Once Algebraic Branching Programs
M. Jansen
,
Youming Qiao
,
Jayalal Sarma
Electron. Colloquium Comput. Complex.
2009
Corpus ID: 1954907
In this paper we study polynomial identity testing of sums of $k$ read-once algebraic branching programs ($\Sigma_k$-RO-ABPs…
Expand
2009
2009
Polynomial Time with Restricted Use of Randomness
Matei David
,
Periklis A. Papakonstantinou
,
Anastasios Sidiropoulos
Electron. Colloquium Comput. Complex.
2009
Corpus ID: 12758916
We define a hierarchy of complexity classes that lie between P and RP, yielding a new way of quantifying partial progress towards…
Expand
Highly Cited
2005
Highly Cited
2005
On Minimizing Network Coding Resources : An Evolutionary Approach
Minkyu Kim
,
C. Ahn
,
M. Médard
,
M. Effros
2005
Corpus ID: 15625311
We consider the problem of minimizing the amount of resources used for network coding while achieving the desired throughput in a…
Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our
Privacy Policy
(opens in a new tab)
,
Terms of Service
(opens in a new tab)
, and
Dataset License
(opens in a new tab)
ACCEPT & CONTINUE