Probabilistic numerics

Sat, 18 Jul 2026 10:11:27 +0000

Definition

Probabilistic numerics applies Bayesian methods to traditional numerical problems like integration, differentiation, and linear algebra. Instead of providing point estimates, it outputs probability distributions over the solution, quantifying epistemic uncertainty arising from finite computational resources. This enables more robust decision-making in scientific computing and machine learning by acknowledging and propagating numerical errors alongside model uncertainties.

Summary

A field treating numerical computation problems as statistical inference tasks to quantify uncertainty in results.

Numerics on English AI Terms Dictionary

Probabilistic numerics

Definition

Summary