Automated Precision Analysis: A Polynomial Algebraic Approach

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Provided by: Imperial College London
Topic: Data Centers
Format: PDF
When migrating an algorithm onto hardware, the potential saving that can be obtained by tuning the precision used in the algorithm to meet a range or error specification is often overlooked; the major reason is that it is hard to choose a number system which can guarantee any such specification can be met. Instead, the problem is mitigated by opting to use IEEE standard single or double precision so as to be 'No worse' than a software implementation. However, the flexibility in the number representation is one of the key factors that can only be exploited on FPGAs, unlike GPUs and general purpose processors, and hence ignoring this potential significantly limits the performance achievable on an FPGA.
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