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stat.CO2024
Deterministic and Probabilistic Rounding Error Analysis for Mixed-Precision Arithmetic on Modern Computing Units
Sahil Bhola, Karthik Duraisamy
Modern computer architectures support low-precision arithmetic, which present opportunities for the adoption of mixed-precision algorithms to achieve high computational throughput…
stat.CO2024
Bias- and Variance-Aware Probabilistic Rounding Error Analysis for Floating-Point Arithmetic
Sahil Bhola, Karthik Duraisamy
Probabilistic rounding error analysis can yield much sharper bounds than classical worst-case theory, but existing results typically rely on zero-mean rounding errors and often lea…