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SIAMSC
2008
151views more  SIAMSC 2008»
15 years 5 months ago
Accurate Floating-Point Summation Part I: Faithful Rounding
Given a vector of floating-point numbers with exact sum s, we present an algorithm for calculating a faithful rounding of s, i.e. the result is one of the immediate floating-point ...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
163
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SIAMSC
2008
168views more  SIAMSC 2008»
15 years 5 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
DAGSTUHL
2008
15 years 7 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...
EUROCRYPT
2007
Springer
15 years 11 months ago
Secure Computation from Random Error Correcting Codes
Abstract. Secure computation consists of protocols for secure arithmetic: secret values are added and multiplied securely by networked processors. The striking feature of secure co...
Hao Chen, Ronald Cramer, Shafi Goldwasser, Robbert...
ICCV
2003
IEEE
16 years 7 months ago
Filtering Using a Tree-Based Estimator
Within this paper a new framework for Bayesian tracking is presented, which approximates the posterior distribution at multiple resolutions. We propose a tree-based representation...
Bjoern Stenger, Arasanathan Thayananthan, Philip H...