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Numerous researches have proved that deep neural networks (DNNs) can fit everything in the end even given data with noisy labels, and result in poor generalization performance. However, recent studies suggest that DNNs tend to gradually…

机器学习 · 计算机科学 2021-04-07 Hao Yang , Youzhi Jin , Ziyin Li , Deng-Bao Wang , Lei Miao , Xin Geng , Min-Ling Zhang

The problem of reconstructing a two-dimensional (2D) current distribution in a superconductor from a 2D magnetic field measurement is recognized as a first-kind integral equation and resolved using the method of Regularization.…

超导电性 · 物理学 2009-11-10 D. M. Feldmann

Diffusion model-based inverse problem solvers have shown impressive performance, but are limited in speed, mostly as they require reverse diffusion sampling starting from noise. Several recent works have tried to alleviate this problem by…

计算机视觉与模式识别 · 计算机科学 2023-10-26 Hyungjin Chung , Jeongsol Kim , Jong Chul Ye

This work proposes a learning-based statistical refinement method for improving the denoising results of a given denoiser without knowing the precise noise distribution or accessing clean images or calibration data. While there are many…

机器学习 · 计算机科学 2026-05-07 Rihuan Ke

Sequential change-point detection plays a critical role in numerous real-world applications, where timely identification of distributional shifts can greatly mitigate adverse outcomes. Classical methods commonly rely on parametric density…

机器学习 · 统计学 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu

Many modern statistical estimation problems are defined by three major components: a statistical model that postulates the dependence of an output variable on the input features; a loss function measuring the error between the observed…

最优化与控制 · 数学 2018-10-09 Ying Cui , Jong-Shi Pang , Bodhisattva Sen

In supervised machine learning, the choice of loss function implicitly assumes a particular noise distribution over the data. For example, the frequently used mean squared error (MSE) loss assumes a Gaussian noise distribution. The choice…

机器学习 · 计算机科学 2023-02-15 Thamsanqa Mlotshwa , Heinrich van Deventer , Anna Sergeevna Bosman

Inverse problems are concerned with the reconstruction of unknown physical quantities using indirect measurements and are fundamental across diverse fields such as medical imaging, remote sensing, and material sciences. These problems serve…

数值分析 · 数学 2025-06-16 Carola-Bibiane Schönlieb , Zakhar Shumaylov

This paper presents a study on the soft-Dice loss, one of the most popular loss functions in medical image segmentation, for situations where noise is present in target labels. In particular, the set of optimal solutions are characterized…

计算机视觉与模式识别 · 计算机科学 2023-05-05 Marcus Nordström , Henrik Hult , Atsuto Maki , Fredrik Löfman

An important theme in modern inverse problems is the reconstruction of time-dependent data from only finitely many measurements. To obtain satisfactory reconstruction results in this setting it is essential to strongly exploit temporal…

数值分析 · 数学 2024-03-14 Martin Holler , Alexander Schlüter , Benedikt Wirth

We propose a novel deformation corrected compressed sensing (DC-CS) framework to recover dynamic magnetic resonance images from undersampled measurements. We introduce a generalized formulation that is capable of handling a wide class of…

计算机视觉与模式识别 · 计算机科学 2014-09-04 Sajan Goud Lingala , Edward DiBella , Mathews Jacob

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

图像与视频处理 · 电气工程与系统科学 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

We address the problem of exposure correction of dark, blurry and noisy images captured in low-light conditions in the wild. Classical image-denoising filters work well in the frequency space but are constrained by several factors such as…

图像与视频处理 · 电气工程与系统科学 2021-05-24 Ojasvi Yadav , Koustav Ghosal , Sebastian Lutz , Aljosa Smolic

Within medical imaging segmentation, the Dice coefficient and Hausdorff-based metrics are standard measures of success for deep learning models. However, modern loss functions for medical image segmentation often only consider the Dice…

图像与视频处理 · 电气工程与系统科学 2024-01-26 Adrian Celaya , Beatrice Riviere , David Fuentes

In order to handle large data sets omnipresent in modern science, efficient compression algorithms are necessary. Here, a Bayesian data compression (BDC) algorithm that adapts to the specific measurement situation is derived in the context…

数据分析、统计与概率 · 物理学 2021-03-01 Johannes Harth-Kitzerow , Reimar Leike , Philipp Arras , Torsten A. Enßlin

3D medical imaging is in high demand and essential for clinical diagnosis and scientific research. Currently, diffusion models (DMs) have become an effective tool for medical imaging reconstruction thanks to their ability to learn rich,…

计算机视觉与模式识别 · 计算机科学 2026-02-10 Chenhe Du , Qing Wu , Xuanyu Tian , Jingyi Yu , Hongjiang Wei , Yuyao Zhang

Diffusion models (DMs) excel in unconditional generation, as well as on applications such as image editing and restoration. The success of DMs lies in the iterative nature of diffusion: diffusion breaks down the complex process of mapping…

计算机视觉与模式识别 · 计算机科学 2025-07-22 Beomsu Kim , Jaemin Kim , Jeongsol Kim , Jong Chul Ye

Diffusion Inverse Solvers (DIS) are designed to sample from the conditional distribution $p_{\theta}(X_0|y)$, with a predefined diffusion model $p_{\theta}(X_0)$, an operator $f(\cdot)$, and a measurement $y=f(x'_0)$ derived from an unknown…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Tongda Xu , Ziran Zhu , Jian Li , Dailan He , Yuanyuan Wang , Ming Sun , Ling Li , Hongwei Qin , Yan Wang , Jingjing Liu , Ya-Qin Zhang

Soft targets combined with the cross-entropy loss have shown to improve generalization performance of deep neural networks on supervised classification tasks. The standard cross-entropy loss however assumes data to be categorically…

机器学习 · 计算机科学 2024-07-16 Johannes Hugger , Virginie Uhlmann

Discrete stochastic optimization considers the problem of minimizing (or maximizing) loss functions defined on discrete sets, where only noisy measurements of the loss functions are available. The discrete stochastic optimization problem is…

最优化与控制 · 数学 2013-11-04 Qi Wang