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ICCAD
2007
IEEE
234views Hardware» more  ICCAD 2007»
13 years 9 months ago
Finding linear building-blocks for RTL synthesis of polynomial datapaths with fixed-size bit-vectors
Abstract: Polynomial computations over fixed-size bitvectors are found in many practical datapath designs. For efficient RTL synthesis, it is important to identify good decompositi...
Sivaram Gopalakrishnan, Priyank Kalla, M. Brandon ...
VLSID
2010
IEEE
181views VLSI» more  VLSID 2010»
13 years 9 months ago
Parametric Fault Diagnosis of Nonlinear Analog Circuits Using Polynomial Coefficients
We propose a method for diagnosis of parametric faults in analog circuits using polynomial coefficients of the circuit model [15]. As a sequel to our recent work [14], where circ...
Suraj Sindia, Virendra Singh, Vishwani D. Agrawal
COMPGEOM
2007
ACM
13 years 9 months ago
Embeddings of surfaces, curves, and moving points in euclidean space
In this paper we show that dimensionality reduction (i.e., Johnson-Lindenstrauss lemma) preserves not only the distances between static points, but also between moving points, and...
Pankaj K. Agarwal, Sariel Har-Peled, Hai Yu
FOCS
1992
IEEE
13 years 9 months ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo
COLT
1993
Springer
13 years 9 months ago
Bounding the Vapnik-Chervonenkis Dimension of Concept Classes Parameterized by Real Numbers
The Vapnik-Chervonenkis (V-C) dimension is an important combinatorial tool in the analysis of learning problems in the PAC framework. For polynomial learnability, we seek upper bou...
Paul W. Goldberg, Mark Jerrum
ARITH
1993
IEEE
13 years 9 months ago
An accurate LNS arithmetic unit using interleaved memory function interpolator
This paper describes a logarithmic number system (LNS) arithmetic unit using a new methodfor polynomial interpolation in hardware. The use of an interleaved memory reduces storage...
David M. Lewis
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 9 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
DATE
1999
IEEE
101views Hardware» more  DATE 1999»
13 years 9 months ago
Polynomial Methods for Allocating Complex Components
Methods for performing component matching by expressing an arithmetic specification and a bit-level description of an implementation as word-level polynomials have been demonstrat...
James Smith, Giovanni De Micheli
ICALP
2010
Springer
13 years 9 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
ICA3PP
2010
Springer
13 years 9 months ago
Modular Resultant Algorithm for Graphics Processors
Abstract. In this paper we report on the recent progress in computing bivariate polynomial resultants on Graphics Processing Units (GPU). Given two polynomials in Z[x, y], our algo...
Pavel Emeliyanenko