2022
DOI: 10.48550/arxiv.2202.05265
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Image-to-Image Regression with Distribution-Free Uncertainty Quantification and Applications in Imaging

Abstract: Image-to-image regression is an important learning task, used frequently in biological imaging. Current algorithms, however, do not generally offer statistical guarantees that protect against a model's mistakes and hallucinations. To address this, we develop uncertainty quantification techniques with rigorous statistical guarantees for image-to-image regression problems. In particular, we show how to derive uncertainty intervals around each pixel that are guaranteed to contain the true value with a user-specif… Show more

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Cited by 3 publications
(2 citation statements)
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“…Here, we focus specifically on the use of conformal risk control techniques [14,5,4] for the purpose of biological retrieval algorithms. Although conformal prediction has been applied in several ways to the biomedical space (see, e.g., [39,2,40,37,7,21,33,32]), we are unaware of substantial work that resembles ours. A recent work published as we were writing this manuscript, [20], leverages conformal prediction to improve a new machine learning model that the authors train, PenLight2.…”
Section: Motivation and Relevant Workmentioning
confidence: 99%
“…Here, we focus specifically on the use of conformal risk control techniques [14,5,4] for the purpose of biological retrieval algorithms. Although conformal prediction has been applied in several ways to the biomedical space (see, e.g., [39,2,40,37,7,21,33,32]), we are unaware of substantial work that resembles ours. A recent work published as we were writing this manuscript, [20], leverages conformal prediction to improve a new machine learning model that the authors train, PenLight2.…”
Section: Motivation and Relevant Workmentioning
confidence: 99%
“…We also build directly on existing work involving distribution-free risk-controlling prediction sets and Learn then Test [8,3]. The LAC baseline is taken from [26], and the ordinal CDF baseline is similar to the softmax method in [5], which is in turn motivated by [15,24]. A gentle introduction to these topics and their history is available in [2], or alternatively, in [28].…”
Section: Conformal Prediction and Distribution-free Uncertainty Quant...mentioning
confidence: 99%