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» Semantics-Based Transformation of Arithmetic Expressions
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SAS
2007
Springer
14 years 1 months ago
Semantics-Based Transformation of Arithmetic Expressions
Floating-point arithmetic is an important source of errors in programs because of the loss of precision arising during a computation. Unfortunately, this arithmetic is not intuitiv...
Matthieu Martel
ICCD
2004
IEEE
100views Hardware» more  ICCD 2004»
14 years 4 months ago
Layout Driven Optimization of Datapath Circuits using Arithmetic Reasoning
This paper proposes a new formalism for layout-driven optimization of datapaths. It is based on preserving an arithmetic bit level representation of the arithmetic circuit portion...
Ingmar Neumann, Dominik Stoffel, Kolja Sulimma, Mi...
FCCM
2009
IEEE
172views VLSI» more  FCCM 2009»
14 years 2 months ago
Evaluation of Static Analysis Techniques for Fixed-Point Precision Optimization
Abstract—Precision analysis and optimization is very important when transforming a floating-point algorithm into fixedpoint hardware implementations. The core analysis techniqu...
Jason Cong, Karthik Gururaj, Bin Liu, Chunyue Liu,...
EAAI
2010
86views more  EAAI 2010»
13 years 7 months ago
Resolution of nonlinear interval problems using symbolic interval arithmetic
: An interval problem is a problem where the unknown variables take interval values. Such a problem can be defined by interval constraints, such as "the interval [a, b] [a, b...
Luc Jaulin, Gilles Chabert
ICCS
2005
Springer
14 years 29 days ago
Automated Operation Minimization of Tensor Contraction Expressions in Electronic Structure Calculations
Abstract. Complex tensor contraction expressions arise in accurate electronic structure models in quantum chemistry, such as the Coupled Cluster method. Transformations using algeb...
Albert Hartono, Alexander Sibiryakov, Marcel Nooij...