Solutions of Ill-Posed Problems¶
Tikhonov, A. N., & Arsenin, V. Y. (1977). Solutions of Ill-Posed Problems.
Cited by¶
1 citation across 1 artifact.
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Primes¶
- Underspecification
- In practice a regularizer (Tikhonov, minimum-norm, a smoothness prior) is the hidden closure: it silently picks one representative — typically the minimum-norm \(\hat{x}\) — and unless disclosed, the analyst mistakes that representative for the answer.
This sourceEstablishes regularization as the operation that selects a single representative (typically minimum-norm) from the family of consistent solutions to an ill-posed inverse problem.
- In practice a regularizer (Tikhonov, minimum-norm, a smoothness prior) is the hidden closure: it silently picks one representative — typically the minimum-norm \(\hat{x}\) — and unless disclosed, the analyst mistakes that representative for the answer.
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Links previously used in the corpus¶
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Registry ID ref:2ecc69e0b808 · see in the full table