3 papers
stat.CO2025
Residual-augmented flow matching operators for probabilistic partial differential equations
Sahil Bhola, Karthik Duraisamy
Learning surrogate models for physical systems with latent uncertainty remains challenging in data-scarce regimes: deterministic neural operators fail to characterize uncertainty,…
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…