Nonlinear least-squares data fitting in Excel spreadsheets.
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New research explores Gauss-Newton accuracy and indefinite Hessians in low-cost sets
This paper delves into the accuracy of the Gauss-Newton curvature within ridge-regularized nonlinear least squares. It establishes that under specific conditions of local regularity and level-set curvature persistence, …
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PINNs advance chemotherapy modeling by revealing parameter identifiability
Researchers have developed Physics-Informed Neural Networks (PINNs) to model chemotherapy pharmacokinetics, outperforming traditional methods in complex scenarios. The PINNs accurately predict drug concentrations in tis…
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New method analyzes generalization in nonlinear least-squares models
Researchers have developed a new method to understand how nonlinear least-squares models generalize. Their approach uses on-average algorithmic stability to derive error bounds for local minimizers. These bounds are lin…