3 papers
stat.CO2026
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…
stat.CO2025
Flow matching Operators for Residual-Augmented Probabilistic Learning of Partial Differential Equations
Sahil Bhola, Karthik Duraisamy
Learning probabilistic surrogates for partial differential equations remains challenging in data-scarce regimes: neural operators require large amounts of high-fidelity data, while…
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…