On a fast, compact approximation of the exponential function

被引：9

作者：

Cawley, GC ^{[1
]}

机构：

[1] Univ E Anglia, Norwich NR4 7TJ, Norfolk, England

来源：

NEURAL COMPUTATION | 2000年 / 12卷 / 09期

关键词：

D O I：

10.1162/089976600300015033

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Recently Schraudolph (1999) described an ingenious, fast, and compact approximation of the exponential function through manipulation of the components of a standard (IEEE-754 (IEEE, 1985)) floating-point representation. This brief note communicates a recoding of this procedure that overcomes some of the limitations of the original macro at little or no additional computational expense.

引用

页码：2009 / 2012

页数：4

共 50 条

[41] RATIONAL APPROXIMATION OF THE Q-ANALOG OF AN EXPONENTIAL FUNCTION AND IRRATIONALITY EVIDENCE OF THIS FUNCTION
WALLISSER, R
[J]. ARCHIV DER MATHEMATIK, 1985, 44 (01) : 59 - 64
[42] Approximation by ridge function fields over compact sets
Pelletier, B
[J]. JOURNAL OF APPROXIMATION THEORY, 2004, 129 (02) : 230 - 239
[43] The approximation of the exponential function and of the logarithm. Section II.(.)
Mahler, K
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1932, 166 (1/4): : 137 - 150
[44] Rational approximation to the exponential function with complex conjugate interpolation points
Wielonsky, F
[J]. JOURNAL OF APPROXIMATION THEORY, 2001, 111 (02) : 344 - 368
[45] Exponential tractability of L2-approximation with function values
Krieg, David
Siedlecki, Pawel
Ullrich, Mario
Wozniakowski, Henryk
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2023, 49 (02)
[46] A FAST CONVERGING HAMMING NET USING EXPONENTIAL FUNCTION
PARK, HB
LEE, CW
[J]. CA-DSP 89, VOLS 1 AND 2: 1989 INTERNATIONAL SYMPOSIUM ON COMPUTER ARCHITECTURE AND DIGITAL SIGNAL PROCESSING, 1989, : 23 - 28
[47] USING ROLLES THEOREM IN EXPONENTIAL FUNCTION-DERIVATIVE APPROXIMATION
KEENER, L
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1975, 18 (05): : 755 - 757
[48] Exponential tractability of L2-approximation with function values
David Krieg
Paweł Siedlecki
Mario Ullrich
Henryk Woźniakowski
[J]. Advances in Computational Mathematics, 2023, 49
[49] APPROXIMATION OF THE UNIT STEP FUNCTION BY A LINEAR COMBINATION OF EXPONENTIAL FUNCTIONS
SULLIVAN, J
CRONE, L
JALICKEE, J
[J]. JOURNAL OF APPROXIMATION THEORY, 1980, 28 (04) : 299 - 308
[50] Type II Hermite-Pade approximation to the exponential function
Kuijlaars, A. B. J.
Stahl, H.
Van Assche, W.
Wielonsky, F.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (02) : 227 - 244

← 1 2 3 4 5 →