Poisson resetting in continuous-time gradient flow on quadratic objectives recovers the ridge estimator exactly via its stationary mean, while non-exponential renewal laws produce alternative spectral filters.
On regularization via early stopping for least squares regression
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Ridge Regression from Poisson Resetting: A Renewal Perspective on Spectral Regularization
Poisson resetting in continuous-time gradient flow on quadratic objectives recovers the ridge estimator exactly via its stationary mean, while non-exponential renewal laws produce alternative spectral filters.