absorb.md

Machine Learning Engineering

Andrew Ng1Balaji Srinivasan1
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Null-Space Projected PIELM for Exact Constraint Enforcement

Physics-informed extreme learning machines (PIELMs) traditionally use penalty terms for boundary and initial conditions, leading to approximate satisfaction and error propagation. This paper introduces Null-Space Projected PIELM (NP-PIELM), which employs an algebraic projection in coefficient space