3 citations · 7 across the 11 of their papers we have counts for
13 papers
Rational Identity Testing for Noncommutative Circuits is in Polynomial Space
V. Arvind, Pushkar S. Joglekar
The rational identity testing problem, RIT, asks whether an input \emph{rational circuit}, computes the zero element of the free skew field. For rational \emph{formulas} the proble…
A Multivariate to Bivariate Reduction for Noncommutative Rank and Related Results
Vikraman Arvind, Pushkar S Joglekar
We study the noncommutative rank problem, ncRANK, of computing the rank of matrices with linear entries in noncommuting variables and the problem of noncommutative Rational Ide…
Multivariate to Bivariate Reduction for Noncommutative Polynomial Factorization
V. Arvind, Pushkar S. Joglekar
Based on a theorem of Bergman we show that multivariate noncommutative polynomial factorization is deterministic polynomial-time reducible to the factorization of bivariate noncomm…
Matrix Polynomial Factorization via Higman Linearization
V. Arvind, Pushkar S. Joglekar
In continuation to our recent work on noncommutative polynomial factorization, we consider the factorization problem for matrices of polynomials and show the following results. (1)…
On Efficient Noncommutative Polynomial Factorization via Higman Linearization
V. Arvind, Pushkar S. Joglekar
In this paper we study the problem of efficiently factorizing polynomials in the free noncommutative ring F of polynomials in noncommuting variables x1,x2,...,xn over the field F.…
Urdu & Hindi Poetry Generation using Neural Networks
Shakeeb A. M. Mukhtar, Pushkar S. Joglekar
One of the major problems writers and poets face is the writer's block. It is a condition in which an author loses the ability to produce new work or experiences a creative slowdow…