Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Khetan, Amit"'
Autor:
Khetan, Amit, 1978
Thesis (M.Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1999.
Includes bibliographical references (leaves 75-79).
by Amit Khetan.
M.Eng.
Includes bibliographical references (leaves 75-79).
by Amit Khetan.
M.Eng.
Externí odkaz:
http://hdl.handle.net/1721.1/80076
There is a strikingly simple classical formula for the number of lattice paths avoiding the line x = ky when k is a positive integer. We show that the natural generalization of this simple formula continues to hold when the line x = ky is replaced by
Externí odkaz:
http://arxiv.org/abs/0705.2888
Given a model in algebraic statistics and some data, the likelihood function is a rational function on a projective variety. Algebraic algorithms are presented for computing all critical points of this function, with the aim of identifying the local
Externí odkaz:
http://arxiv.org/abs/math/0408270
Maximum likelihood estimation in statistics leads to the problem of maximizing a product of powers of polynomials. We study the algebraic degree of the critical equations of this optimization problem. This degree is related to the number of bounded r
Externí odkaz:
http://arxiv.org/abs/math/0406533
Autor:
Khetan, Amit, Soprounov, Ivan
Publikováno v:
Ann. Inst. Fourier (Grenoble) 55, no. 2 (2005), 511--548
The toric residue is a map depending on n+1 semi-ample divisors on a complete toric variety of dimension n. It appears in a variety of contexts such as sparse polynomial systems, mirror symmetry, and GKZ hypergeometric functions. In this paper we inv
Externí odkaz:
http://arxiv.org/abs/math/0406279
Autor:
Khetan, Amit, D'Andrea, Carlos
A parameterized surface can be represented as a projection from a certain toric surface. This generalizes the classical homogeneous and bihomogeneous parameterizations. We extend to the toric case two methods for computing the implicit equation of su
Externí odkaz:
http://arxiv.org/abs/math/0401403
Autor:
Khetan, Amit
Publikováno v:
Journal of Pure and Applied Algebra 198(2005) 237-256
We give the first exact determinantal formula for the resultant of an unmixed sparse system of four Laurent polynomials in three variables with arbitrary support. This follows earlier work by the author on exact formulas for bivariate systems and als
Externí odkaz:
http://arxiv.org/abs/math/0310478
Autor:
D'Andrea, Carlos, Khetan, Amit
We present an explicit formula for computing toric residues as a quotient of two determinants, a la Macaulay, where the numerator is a minor of the denominator. We also give an irreducible representation of toric residues by extending the theory of s
Externí odkaz:
http://arxiv.org/abs/math/0307154
Autor:
Khetan, Amit
This paper gives an explicit method for computing the resultant of any sparse unmixed bivariate system with given support. We construct square matrices whose determinant is exactly the resultant. The matrices constructed are of hybrid Sylvester and B
Externí odkaz:
http://arxiv.org/abs/math/0209115
Publikováno v:
American Journal of Mathematics, 2006 Jun 01. 128(3), 671-697.
Externí odkaz:
https://www.jstor.org/stable/40067993
