paper-with-me

홈 › Papers

Adaptive Extensions of Unbiased Risk Estimators for Unsupervised Magnetic Resonance Image Denoising

2024-07-22 · Reeshad Khan, Dr. John Gauch, Dr. Ukash Nakarmi

The application of Deep Neural Networks (DNNs) to image denoising has notably challenged traditional denoising methods, particularly within complex noise scenarios prevalent in medical imaging. Despite the effectiveness of traditional and some DNN-based methods, their reliance on high-quality, noiseless ground truth images limits their practical utility. In response to this, our work introduces and benchmarks innovative unsupervised learning strategies, notably Stein's Unbiased Risk Estimator (SURE), its extension (eSURE), and our novel implementation, the Extended Poisson Unbiased Risk Estimator (ePURE), within medical imaging frameworks. This paper presents a comprehensive evaluation of these methods on MRI data afflicted with Gaussian and Poisson noise types, a scenario typical in medical imaging but challenging for most denoising algorithms. Our main contribution lies in the effective adaptation and implementation of the SURE, eSURE, and particularly the ePURE frameworks for medical images, showcasing their robustness and efficacy in environments where traditional noiseless ground truth cannot be obtained.

📄 PDF Abstract BibTeX arXiv:2407.15799

Code (0)

등록된 구현이 없습니다.

Tasks

DenoisingImage Denoising

Similar Papers 제목 키워드 기반

Unbiased estimation of risk

2017-08-24

The estimation of risk measures recently gained a lot of attention, partly because of the backtesting issues of expected shortfall related to elicitability. In this work we shed a new and fundamental light on optimal est…

Hybrid Stochastic Gradient Descent Algorithms for Stochastic Nonconvex Optimization

2019-05-15 · Quoc Tran-Dinh, Nhan H. Pham, Dzung T. Phan, Lam M. Nguyen

We introduce a hybrid stochastic estimator to design stochastic gradient algorithms for solving stochastic optimization problems. Such a hybrid estimator is a convex combination of two existing biased and unbiased estima…

Stochastic Optimization

From Cross-Validation to SURE: Asymptotic Risk of Tuned Regularized Estimators

2026-03-20 · Karun Adusumilli, Maximilian Kasy, Ashia Wilson arxiv

We derive the asymptotic risk function of regularized empirical risk minimization (ERM) estimators tuned by $n$-fold cross-validation (CV). The out-of-sample prediction loss of such estimators converges in distribution t…

Prediction-Powered Active Testing

2026-07-09 · Kianoosh Ashouritaklimi, Valentin Kilian, Daolang Huang, Tom Rainforth 외 arxiv

Active testing provides a label--efficient approach to risk estimation by adaptively selecting which test points should be labelled. However, existing estimators fail to exploit the informative predictions of powerful bl…

Unbiased least squares regression via averaged stochastic gradient descent

2024-06-26 · Nabil Kahalé

We consider an on-line least squares regression problem with optimal solution $\theta^*$ and Hessian matrix H, and study a time-average stochastic gradient descent estimator of $\theta^*$. For $k\ge2$, we provide an unbi…

regression